abs()
absent()
absent_over_time()
ceil()
changes()
clamp()
clamp_max()
clamp_min()
day_of_month()
day_of_week()
day_of_year()
days_in_month()
delta()
deriv()
exp()
floor()
histogram_count()
and histogram_sum()
histogram_fraction()
histogram_quantile()
holt_winters()
hour()
idelta()
increase()
irate()
label_join()
label_replace()
ln()
log2()
log10()
minute()
month()
predict_linear()
rate()
resets()
round()
scalar()
sgn()
sort()
sort_desc()
sqrt()
time()
timestamp()
vector()
year()
<aggregation>_over_time()
Some functions have default arguments, e.g. year(v=vector(time())
instant-vector)
. This means that there is one argument v
which is an instant
vector, which if not provided it will default to the value of the expression
vector(time())
.
Notes about the experimental native histograms:
abs()
abs(v instant-vector)
returns the input vector with all sample values converted to
their absolute value.
absent()
absent(v instant-vector)
returns an empty vector if the vector passed to it
has any elements (floats or native histograms) and a 1-element vector with the
value 1 if the vector passed to it has no elements.
This is useful for alerting on when no time series exist for a given metric name and label combination.
absent(nonexistent{job="myjob"})
# => {job="myjob"}
absent(nonexistent{job="myjob",instance=~".*"})
# => {job="myjob"}
absent(sum(nonexistent{job="myjob"}))
# => {}
In the first two examples, absent()
tries to be smart about deriving labels
of the 1-element output vector from the input vector.
absent_over_time()
absent_over_time(v range-vector)
returns an empty vector if the range vector
passed to it has any elements (floats or native histograms) and a 1-element
vector with the value 1 if the range vector passed to it has no elements.
This is useful for alerting on when no time series exist for a given metric name and label combination for a certain amount of time.
absent_over_time(nonexistent{job="myjob"}[1h])
# => {job="myjob"}
absent_over_time(nonexistent{job="myjob",instance=~".*"}[1h])
# => {job="myjob"}
absent_over_time(sum(nonexistent{job="myjob"})[1h:])
# => {}
In the first two examples, absent_over_time()
tries to be smart about deriving
labels of the 1-element output vector from the input vector.
ceil()
ceil(v instant-vector)
rounds the sample values of all elements in v
up to
the nearest integer.
changes()
For each input time series, changes(v range-vector)
returns the number of
times its value has changed within the provided time range as an instant
vector.
clamp()
clamp(v instant-vector, min scalar, max scalar)
clamps the sample values of all elements in v
to have a lower limit of min
and an upper limit of max
.
Special cases:
- Return an empty vector if min > max
- Return NaN
if min
or max
is NaN
clamp_max()
clamp_max(v instant-vector, max scalar)
clamps the sample values of all
elements in v
to have an upper limit of max
.
clamp_min()
clamp_min(v instant-vector, min scalar)
clamps the sample values of all
elements in v
to have a lower limit of min
.
day_of_month()
day_of_month(v=vector(time()) instant-vector)
returns the day of the month
for each of the given times in UTC. Returned values are from 1 to 31.
day_of_week()
day_of_week(v=vector(time()) instant-vector)
returns the day of the week for
each of the given times in UTC. Returned values are from 0 to 6, where 0 means
Sunday etc.
day_of_year()
day_of_year(v=vector(time()) instant-vector)
returns the day of the year for
each of the given times in UTC. Returned values are from 1 to 365 for non-leap years,
and 1 to 366 in leap years.
days_in_month()
days_in_month(v=vector(time()) instant-vector)
returns number of days in the
month for each of the given times in UTC. Returned values are from 28 to 31.
delta()
delta(v range-vector)
calculates the difference between the
first and last value of each time series element in a range vector v
,
returning an instant vector with the given deltas and equivalent labels.
The delta is extrapolated to cover the full time range as specified in
the range vector selector, so that it is possible to get a non-integer
result even if the sample values are all integers.
The following example expression returns the difference in CPU temperature between now and 2 hours ago:
delta(cpu_temp_celsius{host="zeus"}[2h])
delta
acts on native histograms by calculating a new histogram where each
compononent (sum and count of observations, buckets) is the difference between
the respective component in the first and last native histogram in
v
. However, each element in v
that contains a mix of float and native
histogram samples within the range, will be missing from the result vector.
delta
should only be used with gauges and native histograms where the
components behave like gauges (so-called gauge histograms).
deriv()
deriv(v range-vector)
calculates the per-second derivative of the time series in a range
vector v
, using simple linear regression.
The range vector must have at least two samples in order to perform the calculation. When +Inf
or
-Inf
are found in the range vector, the slope and offset value calculated will be NaN
.
deriv
should only be used with gauges.
exp()
exp(v instant-vector)
calculates the exponential function for all elements in v
.
Special cases are:
Exp(+Inf) = +Inf
Exp(NaN) = NaN
floor()
floor(v instant-vector)
rounds the sample values of all elements in v
down
to the nearest integer.
histogram_count()
and histogram_sum()
Both functions only act on native histograms, which are an experimental feature. The behavior of these functions may change in future versions of Prometheus, including their removal from PromQL.
histogram_count(v instant-vector)
returns the count of observations stored in
a native histogram. Samples that are not native histograms are ignored and do
not show up in the returned vector.
Similarly, histogram_sum(v instant-vector)
returns the sum of observations
stored in a native histogram.
Use histogram_count
in the following way to calculate a rate of observations
(in this case corresponding to “requests per second”) from a native histogram:
histogram_count(rate(http_request_duration_seconds[10m]))
The additional use of histogram_sum
enables the calculation of the average of
observed values (in this case corresponding to “average request duration”):
histogram_sum(rate(http_request_duration_seconds[10m]))
/
histogram_count(rate(http_request_duration_seconds[10m]))
histogram_fraction()
This function only acts on native histograms, which are an experimental feature. The behavior of this function may change in future versions of Prometheus, including its removal from PromQL.
For a native histogram, histogram_fraction(lower scalar, upper scalar, v
instant-vector)
returns the estimated fraction of observations between the
provided lower and upper values. Samples that are not native histograms are
ignored and do not show up in the returned vector.
For example, the following expression calculates the fraction of HTTP requests over the last hour that took 200ms or less:
histogram_fraction(0, 0.2, rate(http_request_duration_seconds[1h]))
The error of the estimation depends on the resolution of the underlying native histogram and how closely the provided boundaries are aligned with the bucket boundaries in the histogram.
+Inf
and -Inf
are valid boundary values. For example, if the histogram in
the expression above included negative observations (which shouldn't be the
case for request durations), the appropriate lower boundary to include all
observations less than or equal 0.2 would be -Inf
rather than 0
.
Whether the provided boundaries are inclusive or exclusive is only relevant if the provided boundaries are precisely aligned with bucket boundaries in the underlying native histogram. In this case, the behavior depends on the schema definition of the histogram. The currently supported schemas all feature inclusive upper boundaries and exclusive lower boundaries for positive values (and vice versa for negative values). Without a precise alignment of boundaries, the function uses linear interpolation to estimate the fraction. With the resulting uncertainty, it becomes irrelevant if the boundaries are inclusive or exclusive.
histogram_quantile()
histogram_quantile(φ scalar, b instant-vector)
calculates the φ-quantile (0 ≤
φ ≤ 1) from a conventional
histogram or from
a native histogram. (See histograms and
summaries for a detailed
explanation of φ-quantiles and the usage of the (conventional) histogram metric
type in general.)
Note that native histograms are an experimental feature. The behavior of this function when dealing with native histograms may change in future versions of Prometheus.
The conventional float samples in b
are considered the counts of observations
in each bucket of one or more conventional histograms. Each float sample must
have a label le
where the label value denotes the inclusive upper bound of
the bucket. (Float samples without such a label are silently ignored.) The
other labels and the metric name are used to identify the buckets belonging to
each conventional histogram. The histogram metric
type
automatically provides time series with the _bucket
suffix and the
appropriate labels.
The native histogram samples in b
are treated each individually as a separate
histogram to calculate the quantile from.
As long as no naming collisions arise, b
may contain a mix of conventional
and native histograms.
Use the rate()
function to specify the time window for the quantile
calculation.
Example: A histogram metric is called http_request_duration_seconds
(and
therefore the metric name for the buckets of a conventional histogram is
http_request_duration_seconds_bucket
). To calculate the 90th percentile of request
durations over the last 10m, use the following expression in case
http_request_duration_seconds
is a conventional histogram:
histogram_quantile(0.9, rate(http_request_duration_seconds_bucket[10m]))
For a native histogram, use the following expression instead:
histogram_quantile(0.9, rate(http_request_duration_seconds[10m]))
The quantile is calculated for each label combination in
http_request_duration_seconds
. To aggregate, use the sum()
aggregator
around the rate()
function. Since the le
label is required by
histogram_quantile()
to deal with conventional histograms, it has to be
included in the by
clause. The following expression aggregates the 90th
percentile by job
for conventional histograms:
histogram_quantile(0.9, sum by (job, le) (rate(http_request_duration_seconds_bucket[10m])))
When aggregating native histograms, the expression simplifies to:
histogram_quantile(0.9, sum by (job) (rate(http_request_duration_seconds[10m])))
To aggregate all conventional histograms, specify only the le
label:
histogram_quantile(0.9, sum by (le) (rate(http_request_duration_seconds_bucket[10m])))
With native histograms, aggregating everything works as usual without any by
clause:
histogram_quantile(0.9, sum(rate(http_request_duration_seconds[10m])))
The histogram_quantile()
function interpolates quantile values by
assuming a linear distribution within a bucket.
If b
has 0 observations, NaN
is returned. For φ < 0, -Inf
is
returned. For φ > 1, +Inf
is returned. For φ = NaN
, NaN
is returned.
The following is only relevant for conventional histograms: If b
contains
fewer than two buckets, NaN
is returned. The highest bucket must have an
upper bound of +Inf
. (Otherwise, NaN
is returned.) If a quantile is located
in the highest bucket, the upper bound of the second highest bucket is
returned. A lower limit of the lowest bucket is assumed to be 0 if the upper
bound of that bucket is greater than
0. In that case, the usual linear interpolation is applied within that
bucket. Otherwise, the upper bound of the lowest bucket is returned for
quantiles located in the lowest bucket.
holt_winters()
holt_winters(v range-vector, sf scalar, tf scalar)
produces a smoothed value
for time series based on the range in v
. The lower the smoothing factor sf
,
the more importance is given to old data. The higher the trend factor tf
, the
more trends in the data is considered. Both sf
and tf
must be between 0 and
1.
holt_winters
should only be used with gauges.
hour()
hour(v=vector(time()) instant-vector)
returns the hour of the day
for each of the given times in UTC. Returned values are from 0 to 23.
idelta()
idelta(v range-vector)
calculates the difference between the last two samples
in the range vector v
, returning an instant vector with the given deltas and
equivalent labels.
idelta
should only be used with gauges.
increase()
increase(v range-vector)
calculates the increase in the
time series in the range vector. Breaks in monotonicity (such as counter
resets due to target restarts) are automatically adjusted for. The
increase is extrapolated to cover the full time range as specified
in the range vector selector, so that it is possible to get a
non-integer result even if a counter increases only by integer
increments.
The following example expression returns the number of HTTP requests as measured over the last 5 minutes, per time series in the range vector:
increase(http_requests_total{job="api-server"}[5m])
increase
acts on native histograms by calculating a new histogram where each
compononent (sum and count of observations, buckets) is the increase between
the respective component in the first and last native histogram in
v
. However, each element in v
that contains a mix of float and native
histogram samples within the range, will be missing from the result vector.
increase
should only be used with counters and native histograms where the
components behave like counters. It is syntactic sugar for rate(v)
multiplied
by the number of seconds under the specified time range window, and should be
used primarily for human readability. Use rate
in recording rules so that
increases are tracked consistently on a per-second basis.
irate()
irate(v range-vector)
calculates the per-second instant rate of increase of
the time series in the range vector. This is based on the last two data points.
Breaks in monotonicity (such as counter resets due to target restarts) are
automatically adjusted for.
The following example expression returns the per-second rate of HTTP requests looking up to 5 minutes back for the two most recent data points, per time series in the range vector:
irate(http_requests_total{job="api-server"}[5m])
irate
should only be used when graphing volatile, fast-moving counters.
Use rate
for alerts and slow-moving counters, as brief changes
in the rate can reset the FOR
clause and graphs consisting entirely of rare
spikes are hard to read.
Note that when combining irate()
with an
aggregation operator (e.g. sum()
)
or a function aggregating over time (any function ending in _over_time
),
always take a irate()
first, then aggregate. Otherwise irate()
cannot detect
counter resets when your target restarts.
label_join()
For each timeseries in v
, label_join(v instant-vector, dst_label string, separator string, src_label_1 string, src_label_2 string, ...)
joins all the values of all the src_labels
using separator
and returns the timeseries with the label dst_label
containing the joined value.
There can be any number of src_labels
in this function.
label_join
acts on float and histogram samples in the same way.
This example will return a vector with each time series having a foo
label with the value a,b,c
added to it:
label_join(up{job="api-server",src1="a",src2="b",src3="c"}, "foo", ",", "src1", "src2", "src3")
label_replace()
For each timeseries in v
, label_replace(v instant-vector, dst_label string, replacement string, src_label string, regex string)
matches the regular expression regex
against the value of the label src_label
. If it
matches, the value of the label dst_label
in the returned timeseries will be the expansion
of replacement
, together with the original labels in the input. Capturing groups in the
regular expression can be referenced with $1
, $2
, etc. If the regular expression doesn't
match then the timeseries is returned unchanged.
label_replace
acts on float and histogram samples in the same way.
This example will return timeseries with the values a:c
at label service
and a
at label foo
:
label_replace(up{job="api-server",service="a:c"}, "foo", "$1", "service", "(.*):.*")
ln()
ln(v instant-vector)
calculates the natural logarithm for all elements in v
.
Special cases are:
ln(+Inf) = +Inf
ln(0) = -Inf
ln(x < 0) = NaN
ln(NaN) = NaN
log2()
log2(v instant-vector)
calculates the binary logarithm for all elements in v
.
The special cases are equivalent to those in ln
.
log10()
log10(v instant-vector)
calculates the decimal logarithm for all elements in v
.
The special cases are equivalent to those in ln
.
minute()
minute(v=vector(time()) instant-vector)
returns the minute of the hour for each
of the given times in UTC. Returned values are from 0 to 59.
month()
month(v=vector(time()) instant-vector)
returns the month of the year for each
of the given times in UTC. Returned values are from 1 to 12, where 1 means
January etc.
predict_linear()
predict_linear(v range-vector, t scalar)
predicts the value of time series
t
seconds from now, based on the range vector v
, using simple linear
regression.
The range vector must have at least two samples in order to perform the
calculation. When +Inf
or -Inf
are found in the range vector,
the slope and offset value calculated will be NaN
.
predict_linear
should only be used with gauges.
rate()
rate(v range-vector)
calculates the per-second average rate of increase of the
time series in the range vector. Breaks in monotonicity (such as counter
resets due to target restarts) are automatically adjusted for. Also, the
calculation extrapolates to the ends of the time range, allowing for missed
scrapes or imperfect alignment of scrape cycles with the range's time period.
The following example expression returns the per-second rate of HTTP requests as measured over the last 5 minutes, per time series in the range vector:
rate(http_requests_total{job="api-server"}[5m])
rate
acts on native histograms by calculating a new histogram where each
compononent (sum and count of observations, buckets) is the rate of increase
between the respective component in the first and last native histogram in
v
. However, each element in v
that contains a mix of float and native
histogram samples within the range, will be missing from the result vector.
rate
should only be used with counters and native histograms where the
components behave like counters. It is best suited for alerting, and for
graphing of slow-moving counters.
Note that when combining rate()
with an aggregation operator (e.g. sum()
)
or a function aggregating over time (any function ending in _over_time
),
always take a rate()
first, then aggregate. Otherwise rate()
cannot detect
counter resets when your target restarts.
resets()
For each input time series, resets(v range-vector)
returns the number of
counter resets within the provided time range as an instant vector. Any
decrease in the value between two consecutive float samples is interpreted as a
counter reset. A reset in a native histogram is detected in a more complex way:
Any decrease in any bucket, including the zero bucket, or in the count of
observation constitutes a counter reset, but also the disappearance of any
previously populated bucket, an increase in bucket resolution, or a decrease of
the zero-bucket width.
resets
should only be used with counters and counter-like native
histograms.
If the range vector contains a mix of float and histogram samples for the same series, counter resets are detected separately and their numbers added up. The change from a float to a histogram sample is not considered a counter reset. Each float sample is compared to the next float sample, and each histogram is comprared to the next histogram.
round()
round(v instant-vector, to_nearest=1 scalar)
rounds the sample values of all
elements in v
to the nearest integer. Ties are resolved by rounding up. The
optional to_nearest
argument allows specifying the nearest multiple to which
the sample values should be rounded. This multiple may also be a fraction.
scalar()
Given a single-element input vector, scalar(v instant-vector)
returns the
sample value of that single element as a scalar. If the input vector does not
have exactly one element, scalar
will return NaN
.
sgn()
sgn(v instant-vector)
returns a vector with all sample values converted to their sign, defined as this: 1 if v is positive, -1 if v is negative and 0 if v is equal to zero.
sort()
sort(v instant-vector)
returns vector elements sorted by their sample values,
in ascending order. Native histograms are sorted by their sum of observations.
sort_desc()
Same as sort
, but sorts in descending order.
sqrt()
sqrt(v instant-vector)
calculates the square root of all elements in v
.
time()
time()
returns the number of seconds since January 1, 1970 UTC. Note that
this does not actually return the current time, but the time at which the
expression is to be evaluated.
timestamp()
timestamp(v instant-vector)
returns the timestamp of each of the samples of
the given vector as the number of seconds since January 1, 1970 UTC. It also
works with histogram samples.
vector()
vector(s scalar)
returns the scalar s
as a vector with no labels.
year()
year(v=vector(time()) instant-vector)
returns the year
for each of the given times in UTC.
<aggregation>_over_time()
The following functions allow aggregating each series of a given range vector over time and return an instant vector with per-series aggregation results:
avg_over_time(range-vector)
: the average value of all points in the specified interval.min_over_time(range-vector)
: the minimum value of all points in the specified interval.max_over_time(range-vector)
: the maximum value of all points in the specified interval.sum_over_time(range-vector)
: the sum of all values in the specified interval.count_over_time(range-vector)
: the count of all values in the specified interval.quantile_over_time(scalar, range-vector)
: the φ-quantile (0 ≤ φ ≤ 1) of the values in the specified interval.stddev_over_time(range-vector)
: the population standard deviation of the values in the specified interval.stdvar_over_time(range-vector)
: the population standard variance of the values in the specified interval.last_over_time(range-vector)
: the most recent point value in the specified interval.present_over_time(range-vector)
: the value 1 for any series in the specified interval.Note that all values in the specified interval have the same weight in the aggregation even if the values are not equally spaced throughout the interval.
count_over_time
, last_over_time
, and present_over_time
handle native
histograms as expected. All other functions ignore histogram samples.
The trigonometric functions work in radians:
acos(v instant-vector)
: calculates the arccosine of all elements in v
(special cases).acosh(v instant-vector)
: calculates the inverse hyperbolic cosine of all elements in v
(special cases).asin(v instant-vector)
: calculates the arcsine of all elements in v
(special cases).asinh(v instant-vector)
: calculates the inverse hyperbolic sine of all elements in v
(special cases).atan(v instant-vector)
: calculates the arctangent of all elements in v
(special cases).atanh(v instant-vector)
: calculates the inverse hyperbolic tangent of all elements in v
(special cases).cos(v instant-vector)
: calculates the cosine of all elements in v
(special cases).cosh(v instant-vector)
: calculates the hyperbolic cosine of all elements in v
(special cases).sin(v instant-vector)
: calculates the sine of all elements in v
(special cases).sinh(v instant-vector)
: calculates the hyperbolic sine of all elements in v
(special cases).tan(v instant-vector)
: calculates the tangent of all elements in v
(special cases).tanh(v instant-vector)
: calculates the hyperbolic tangent of all elements in v
(special cases).The following are useful for converting between degrees and radians:
deg(v instant-vector)
: converts radians to degrees for all elements in v
.pi()
: returns pi.rad(v instant-vector)
: converts degrees to radians for all elements in v
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