expm1 (example 3.7)

Time bar (total: 3.3s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

Mixed Sampling
Click to see full mixed sampling table
opprecxtime
const12820.0ms
ival-<=12810.0ms
ival-exp12810.0ms
ival-fabs12810.0ms
ival-sub12810.0ms

sample2.3s (69.7%)

Results
1.1s4258×body512valid
903.0ms2251×body1024valid
298.0ms1747×body256valid
Mixed Sampling
Click to see full mixed sampling table
opprecxtime
const185022302.0ms
const1700-1800210.0ms
const102422512.0ms
const800-90061825.0ms
const700-8003270.0ms
const51265096.0ms
const2561651214.0ms
ival-<=1024225112.0ms
ival-<=512650937.0ms
ival-<=256825646.0ms
ival-exp18502230288.0ms
ival-exp1700-1800213.0ms
ival-exp800-9006182237.0ms
ival-exp700-8003276.0ms
ival-exp2568256126.0ms
ival-fabs102422519.0ms
ival-fabs512650924.0ms
ival-fabs256825637.0ms
ival-sub1024225118.0ms
ival-sub512650979.0ms
ival-sub256825660.0ms
Bogosity

preprocess119.0ms (3.6%)

Algorithm
egg-herbie
Rules
1460×fma-def
828×associate--r+
794×cancel-sign-sub-inv
652×distribute-lft-in
574×distribute-neg-in
Problems
254×(-.f64 (exp.f64 x) 1)
No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12644
24544
36944
411244
522644
653144
7160344
8456244
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 1))
Outputs
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 1))
(neg.f64 (expm1.f64 (neg.f64 x)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

Mixed Sampling
Click to see full mixed sampling table
opprecxtime
const1850620.0ms
const10241240.0ms
const800-9001940.0ms
const700-800110.0ms
const5124100.0ms
const2567681.0ms
ival-exp1850627.0ms
ival-exp800-9001947.0ms
ival-exp700-800110.0ms
ival-exp2562562.0ms
ival-sub1024620.0ms
ival-sub5122051.0ms
ival-sub2562562.0ms

eval0.0ms (0%)

Compiler

Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(expm1.f64 x)
100.0%
(expm1.f64 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize18.0ms (0.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(expm1.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

Mixed Sampling
Click to see full mixed sampling table
opprecxtime
const2562560.0ms
ival-expm12562562.0ms

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(expm1.f64 x)
0.0ms
x
@inf
(expm1.f64 x)
0.0ms
x
@-inf
(expm1.f64 x)

rewrite138.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
868×log1p-expm1-u
867×expm1-log1p-u
482×expm1-udef
482×log1p-udef
360×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1428
24198
345578
Stop Event
node limit
Counts
1 → 65
Calls
Call 1
Inputs
(expm1.f64 x)
Outputs
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)

simplify56.0ms (1.7%)

Algorithm
egg-herbie
Rules
704×div-sub
690×fma-def
558×log-prod
520×associate-*r/
514×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01801781
13881740
210701438
342581340
Stop Event
node limit
Counts
77 → 93
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
Outputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x)))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 0 (expm1.f64 x))
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(expm1.f64 x)
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(expm1.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(expm1.f64 x)
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 5/2))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(expm1.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(expm1.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 5/2))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(expm1.f64 x)
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(expm1.f64 x)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(expm1.f64 x)
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 (exp.f64 x) 1))
(expm1.f64 x)
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(fabs.f64 (expm1.f64 x))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)

eval23.0ms (0.7%)

Compiler

Compiled 1026 to 571 computations (44.3% saved)

prune13.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh000
Picked011
Done000
Total91394
Accuracy
100.0%
Counts
94 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 (expm1.f64 (expm1.f64 x)))
100.0%
(expm1.f64 x)
98.6%
x
100.0%
(log1p.f64 (expm1.f64 (expm1.f64 x)))
100.0%
(expm1.f64 x)
98.6%
x
Compiler

Compiled 20 to 14 computations (30% saved)

localize29.0ms (0.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(expm1.f64 x)
100.0%
(log1p.f64 (expm1.f64 (expm1.f64 x)))
100.0%
(expm1.f64 (expm1.f64 x))
Compiler

Compiled 12 to 5 computations (58.3% saved)

Mixed Sampling
Click to see full mixed sampling table
opprecxtime
const2562560.0ms
ival-expm12565125.0ms
ival-log1p2562563.0ms

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(expm1.f64 (expm1.f64 x))
0.0ms
x
@-inf
(expm1.f64 (expm1.f64 x))
0.0ms
x
@inf
(expm1.f64 (expm1.f64 x))
0.0ms
x
@0
(log1p.f64 (expm1.f64 (expm1.f64 x)))
0.0ms
x
@inf
(log1p.f64 (expm1.f64 (expm1.f64 x)))

rewrite116.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
716×expm1-udef
716×log1p-udef
524×associate-*r*
448×associate-*l*
308×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
16120
261820
3715420
Stop Event
node limit
Counts
2 → 136
Calls
Call 1
Inputs
(expm1.f64 (expm1.f64 x))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
Outputs
(+.f64 (expm1.f64 (expm1.f64 x)) 0)
(+.f64 1 (-.f64 (expm1.f64 (expm1.f64 x)) 1))
(+.f64 1 (+.f64 (expm1.f64 (expm1.f64 x)) -1))
(+.f64 (exp.f64 (expm1.f64 x)) -1)
(+.f64 0 (expm1.f64 (expm1.f64 x)))
(+.f64 -1 (exp.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (expm1.f64 x)) 1)
(-.f64 (exp.f64 (expm1.f64 x)) (log.f64 (E.f64)))
(-.f64 (+.f64 (expm1.f64 (expm1.f64 x)) 2) 2)
(-.f64 (/.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2))))
(-.f64 (/.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 (expm1.f64 (expm1.f64 x)) 2)))
(*.f64 (expm1.f64 (expm1.f64 x)) 1)
(*.f64 (expm1.f64 (expm1.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2)))
(*.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6) (*.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) 2) (cbrt.f64 (expm1.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 3/2)))
(*.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4) (sqrt.f64 (expm1.f64 (expm1.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1) (/.f64 1 (+.f64 (expm1.f64 (expm1.f64 x)) 2)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 5/2) 1/3) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 5/2)) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4)) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 3/2)) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 5)) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))) 1) (-.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))) 1))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6)) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2)) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (expm1.f64 (expm1.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (-.f64 1 (*.f64 (exp.f64 (expm1.f64 x)) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1) (+.f64 (expm1.f64 (expm1.f64 x)) 2))
(/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1) (-.f64 (exp.f64 (expm1.f64 x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1)) (neg.f64 (+.f64 (expm1.f64 (expm1.f64 x)) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1) 1) (+.f64 (expm1.f64 (expm1.f64 x)) 2))
(pow.f64 (expm1.f64 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (expm1.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (expm1.f64 x))) 2))) (cbrt.f64 (log.f64 (expm1.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 2))
(fabs.f64 (expm1.f64 (expm1.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 3))
(exp.f64 (log.f64 (expm1.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (expm1.f64 x)))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (expm1.f64 x))))
(fma.f64 1 (exp.f64 (expm1.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2) (cbrt.f64 (exp.f64 (expm1.f64 x))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))) (sqrt.f64 (exp.f64 (expm1.f64 x))) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 2) (expm1.f64 (expm1.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (expm1.f64 x)) 2))) (log.f64 (-.f64 1 (expm1.f64 (expm1.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)

simplify75.0ms (2.3%)

Algorithm
egg-herbie
Rules
1134×distribute-lft-in
1132×distribute-rgt-in
1020×unswap-sqr
744×fma-neg
372×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03444221
17494159
223114103
Stop Event
node limit
Counts
160 → 195
Calls
Call 1
Inputs
x
(+.f64 x (pow.f64 x 2))
(+.f64 x (+.f64 (*.f64 5/6 (pow.f64 x 3)) (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 5/8 (pow.f64 x 4)) (+.f64 (*.f64 5/6 (pow.f64 x 3)) (pow.f64 x 2))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(+.f64 (expm1.f64 (expm1.f64 x)) 0)
(+.f64 1 (-.f64 (expm1.f64 (expm1.f64 x)) 1))
(+.f64 1 (+.f64 (expm1.f64 (expm1.f64 x)) -1))
(+.f64 (exp.f64 (expm1.f64 x)) -1)
(+.f64 0 (expm1.f64 (expm1.f64 x)))
(+.f64 -1 (exp.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (expm1.f64 x)) 1)
(-.f64 (exp.f64 (expm1.f64 x)) (log.f64 (E.f64)))
(-.f64 (+.f64 (expm1.f64 (expm1.f64 x)) 2) 2)
(-.f64 (/.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2))))
(-.f64 (/.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 (expm1.f64 (expm1.f64 x)) 2)))
(*.f64 (expm1.f64 (expm1.f64 x)) 1)
(*.f64 (expm1.f64 (expm1.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2)))
(*.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6) (*.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) 2) (cbrt.f64 (expm1.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 3/2)))
(*.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4) (sqrt.f64 (expm1.f64 (expm1.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1) (/.f64 1 (+.f64 (expm1.f64 (expm1.f64 x)) 2)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 5/2) 1/3) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 5/2)) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4)) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 3/2)) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 5)) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))) 1) (-.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))) 1))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 2) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6)) (pow.f64 (expm1.f64 (expm1.f64 x)) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2)) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (expm1.f64 (expm1.f64 x)) 2) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (-.f64 1 (*.f64 (exp.f64 (expm1.f64 x)) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1) (+.f64 (expm1.f64 (expm1.f64 x)) 2))
(/.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1) (-.f64 (exp.f64 (expm1.f64 x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1)) (neg.f64 (+.f64 (expm1.f64 (expm1.f64 x)) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) -1) 1) (+.f64 (expm1.f64 (expm1.f64 x)) 2))
(pow.f64 (expm1.f64 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (expm1.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (expm1.f64 x))) 2))) (cbrt.f64 (log.f64 (expm1.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 2))
(fabs.f64 (expm1.f64 (expm1.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 3))
(exp.f64 (log.f64 (expm1.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (expm1.f64 x)))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (expm1.f64 x))))
(fma.f64 1 (exp.f64 (expm1.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2) (cbrt.f64 (exp.f64 (expm1.f64 x))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))) (sqrt.f64 (exp.f64 (expm1.f64 x))) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (expm1.f64 x)) 2) (expm1.f64 (expm1.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (expm1.f64 x)) 2))) (log.f64 (-.f64 1 (expm1.f64 (expm1.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
Outputs
x
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (+.f64 (*.f64 5/6 (pow.f64 x 3)) (pow.f64 x 2)))
(+.f64 x (fma.f64 5/6 (pow.f64 x 3) (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 5/8 (pow.f64 x 4)) (+.f64 (*.f64 5/6 (pow.f64 x 3)) (pow.f64 x 2))))
(+.f64 x (fma.f64 5/8 (pow.f64 x 4) (fma.f64 5/6 (pow.f64 x 3) (pow.f64 x 2))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(expm1.f64 (expm1.f64 x))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(expm1.f64 (expm1.f64 x))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(expm1.f64 (expm1.f64 x))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(expm1.f64 (expm1.f64 x))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(expm1.f64 (expm1.f64 x))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(expm1.f64 (expm1.f64 x))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(expm1.f64 (expm1.f64 x))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) 1)) 1)
(expm1.f64 (expm1.f64 x))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (pow.f64 x 2) 1/2))
(fma.f64 (pow.f64 x 2) 1/2 x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (fma.f64 (pow.f64 x 2) 1/2 x) (*.f64 (pow.f64 x 3) 1/6))
(+.f64 x (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (fma.f64 (pow.f64 x 4) 1/24 (*.f64 (pow.f64 x 3) 1/6)) (fma.f64 (pow.f64 x 2) 1/2 x))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(+.f64 (expm1.f64 (expm1.f64 x)) 0)
(expm1.f64 (expm1.f64 x))
(+.f64 1 (-.f64 (expm1.f64 (expm1.f64 x)) 1))
(expm1.f64 (expm1.f64 x))
(+.f64 1 (+.f64 (expm1.f64 (expm1.f64 x)) -1))
(expm1.f64 (expm1.f64 x))
(+.f64 (exp.f64 (expm1.f64 x)) -1)
(expm1.f64 (expm1.f64 x))
(+.f64 0 (expm1.f64 (expm1.f64 x)))
(expm1.f64 (expm1.f64 x))
(+.f64 -1 (exp.f64 (expm1.f64 x)))
(expm1.f64 (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (expm1.f64 x)) 1)
(expm1.f64 (expm1.f64 x))
(-.f64 (exp.f64 (expm1.f64 x)) (log.f64 (E.f64)))
(expm1.f64 (expm1.f64 x))
(-.f64 (+.f64 (expm1.f64 (expm1.f64 x)) 2) 2)
(expm1.f64 (expm1.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 3) (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2) (+.f64 (expm1.f64 (expm1.f64 x)) 2))))
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(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(expm1.f64 x)
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(expm1.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (fabs.f64 (pow.f64 (expm1.f64 x) 3/4)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (pow.f64 (expm1.f64 x) 3/4))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(expm1.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (fabs.f64 (pow.f64 (expm1.f64 x) 3/4)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (pow.f64 (expm1.f64 x) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 5/2))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(fabs.f64 (expm1.f64 x))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)

eval71.0ms (2.2%)

Compiler

Compiled 3614 to 1987 computations (45% saved)

prune36.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2880288
Fresh011
Picked011
Done011
Total2883291
Accuracy
100.0%
Counts
291 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 (expm1.f64 (expm1.f64 x)))
100.0%
(expm1.f64 x)
98.6%
x
100.0%
(log1p.f64 (expm1.f64 (expm1.f64 x)))
100.0%
(expm1.f64 x)
98.6%
x
Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 (expm1.f64 (expm1.f64 x)))
100.0%
(expm1.f64 x)
98.6%
x
100.0%
(log1p.f64 (expm1.f64 (expm1.f64 x)))
100.0%
(expm1.f64 x)
98.6%
x
Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 (expm1.f64 (expm1.f64 x)))
100.0%
(expm1.f64 x)
98.6%
x
Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes9.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
Outputs
(log1p.f64 (expm1.f64 (expm1.f64 x)))
Calls

3 calls:

4.0ms
x
2.0ms
(-.f64 (exp.f64 x) 1)
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (exp.f64 x) 1)
100.0%1(exp.f64 x)
Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes8.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
Outputs
(expm1.f64 x)
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 (exp.f64 x) 1)
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (exp.f64 x) 1)
100.0%1(exp.f64 x)
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 4 to 2 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
x
Outputs
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
x
Compiler

Compiled 10 to 7 computations (30% saved)

soundness232.0ms (7.1%)

Rules
1460×fma-def
868×log1p-expm1-u
867×expm1-log1p-u
828×associate--r+
794×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12644
24544
36944
411244
522644
653144
7160344
8456244
068
1428
24198
345578
Stop Event
node limit
node limit
Compiler

Compiled 14 to 9 computations (35.7% saved)

end0.0ms (0%)

preprocess37.0ms (1.1%)

Compiler

Compiled 32 to 20 computations (37.5% saved)

Profiling

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