expm1 (example 3.7)

Time bar (total: 2.5s)

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)

sample1.7s (66.4%)

Results
1.1s4135×body1024valid
336.0ms2134×body512valid
164.0ms1730×body256valid
91.0ms257×body2048valid
Bogosity

preprocess107.0ms (4.3%)

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)

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 (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(expm1.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

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)

rewrite135.0ms (5.4%)

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)

simplify66.0ms (2.6%)

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)

eval22.0ms (0.9%)

Compiler

Compiled 1026 to 571 computations (44.3% saved)

prune11.0ms (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%
(expm1.f64 x)
39.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
98.1%
x
100.0%
(expm1.f64 x)
39.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
98.1%
x
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize47.0ms (1.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(expm1.f64 x)
99.8%
(*.f64 3 (log.f64 (expm1.f64 x)))
99.7%
(*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3)
96.1%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
Compiler

Compiled 30 to 17 computations (43.3% saved)

series48.0ms (1.9%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
23.0ms
x
@inf
(*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3)
21.0ms
x
@-inf
(*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3)
2.0ms
x
@0
(*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3)
0.0ms
x
@-inf
(*.f64 3 (log.f64 (expm1.f64 x)))
0.0ms
x
@inf
(*.f64 3 (log.f64 (expm1.f64 x)))

rewrite61.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
634×unpow-prod-down
434×log-prod
422×cbrt-prod
374×sqrt-prod
332×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01370
112038
2132238
Stop Event
node limit
Counts
3 → 129
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3)
(*.f64 3 (log.f64 (expm1.f64 x)))
Outputs
(+.f64 (exp.f64 x) -1)
(+.f64 1 (-.f64 (expm1.f64 x) 1))
(+.f64 0 (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 (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 (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 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 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 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 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 (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 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (expm1.f64 x)))) (E.f64))
(/.f64 (pow.f64 (exp.f64 1/3) (+.f64 1 (*.f64 3 (log.f64 (expm1.f64 x))))) (exp.f64 1/3))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (expm1.f64 x)))) (E.f64))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (expm1.f64 x) 6) 1/6)
(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))))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2)) (*.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (*.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 1/3))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))
(pow.f64 (pow.f64 (E.f64) 3) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (E.f64) 1/3) (*.f64 3 (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/3 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (pow.f64 (log.f64 (expm1.f64 x)) 1/6)) (pow.f64 (log.f64 (expm1.f64 x)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (expm1.f64 x)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (expm1.f64 x)) 1/4)) (pow.f64 (log.f64 (expm1.f64 x)) 1/4))
(pow.f64 (pow.f64 (exp.f64 3) 1/3) (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (*.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (expm1.f64 x)))) (*.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) 3) (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (*.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (expm1.f64 x)))) (*.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/3) (*.f64 3 (sqrt.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (*.f64 1/3 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (log.f64 (expm1.f64 x)) 0)
(+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(+.f64 0 (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (cbrt.f64 (expm1.f64 x))))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 x))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1)) (log.f64 (+.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1)))))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(log.f64 (expm1.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) 2))
(log1p.f64 (-.f64 (expm1.f64 x) 1))
(+.f64 (log.f64 (expm1.f64 x)) (*.f64 2 (log.f64 (expm1.f64 x))))
(+.f64 0 (*.f64 3 (log.f64 (expm1.f64 x))))
(+.f64 (*.f64 2 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (expm1.f64 x) 3/2)) (log.f64 (pow.f64 (expm1.f64 x) 3/2)))
(+.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (pow.f64 (expm1.f64 x) 5/2)) (log.f64 (sqrt.f64 (expm1.f64 x))))
(-.f64 (+.f64 1 (*.f64 3 (log.f64 (expm1.f64 x)))) 1)
(pow.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9) 1/2)
(pow.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x))))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9))
(log.f64 (pow.f64 (expm1.f64 x) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) 2))
(log1p.f64 (-.f64 (pow.f64 (expm1.f64 x) 3) 1))

simplify64.0ms (2.5%)

Algorithm
egg-herbie
Rules
1780×fma-def
878×distribute-lft-in
850×sqr-pow
840×distribute-rgt-in
498×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03424379
18174318
221834248
Stop Event
node limit
Counts
165 → 203
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)
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/2 x))
(+.f64 (log.f64 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1/2880 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(*.f64 3 (log.f64 x))
(+.f64 (*.f64 3/2 x) (*.f64 3 (log.f64 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 3/2 x) (*.f64 3 (log.f64 x))))
(+.f64 (*.f64 -1/960 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 3/2 x) (*.f64 3 (log.f64 x)))))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(+.f64 (exp.f64 x) -1)
(+.f64 1 (-.f64 (expm1.f64 x) 1))
(+.f64 0 (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 (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 (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 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 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 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 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 (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 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (expm1.f64 x)))) (E.f64))
(/.f64 (pow.f64 (exp.f64 1/3) (+.f64 1 (*.f64 3 (log.f64 (expm1.f64 x))))) (exp.f64 1/3))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (expm1.f64 x)))) (E.f64))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (expm1.f64 x) 6) 1/6)
(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))))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2)) (*.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (*.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 1/3))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))
(pow.f64 (pow.f64 (E.f64) 3) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (E.f64) 1/3) (*.f64 3 (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/3 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (pow.f64 (log.f64 (expm1.f64 x)) 1/6)) (pow.f64 (log.f64 (expm1.f64 x)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (expm1.f64 x)) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (log.f64 (expm1.f64 x)) 1/4)) (pow.f64 (log.f64 (expm1.f64 x)) 1/4))
(pow.f64 (pow.f64 (exp.f64 3) 1/3) (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (*.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (expm1.f64 x)))) (*.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) 3) (log.f64 (expm1.f64 x)))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (*.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (expm1.f64 x)))) (*.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/3) (*.f64 3 (sqrt.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (*.f64 1/3 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (log.f64 (expm1.f64 x)) 0)
(+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(+.f64 0 (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (cbrt.f64 (expm1.f64 x))))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 x))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1)) (log.f64 (+.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1)))))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(log.f64 (expm1.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) 2))
(log1p.f64 (-.f64 (expm1.f64 x) 1))
(+.f64 (log.f64 (expm1.f64 x)) (*.f64 2 (log.f64 (expm1.f64 x))))
(+.f64 0 (*.f64 3 (log.f64 (expm1.f64 x))))
(+.f64 (*.f64 2 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (expm1.f64 x) 3/2)) (log.f64 (pow.f64 (expm1.f64 x) 3/2)))
(+.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (pow.f64 (expm1.f64 x) 5/2)) (log.f64 (sqrt.f64 (expm1.f64 x))))
(-.f64 (+.f64 1 (*.f64 3 (log.f64 (expm1.f64 x)))) 1)
(pow.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9) 1/2)
(pow.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x))))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9))
(log.f64 (pow.f64 (expm1.f64 x) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) 2))
(log1p.f64 (-.f64 (pow.f64 (expm1.f64 x) 3) 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 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(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)
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/2 x))
(+.f64 (log.f64 x) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 x))
(+.f64 (log.f64 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 x) (fma.f64 1/24 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 (log.f64 x) (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/24)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 2) 1/24 (log.f64 x)))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1/2880 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 x) (fma.f64 -1/2880 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 2) (*.f64 x 1/2))))
(+.f64 (log.f64 x) (fma.f64 (pow.f64 x 4) -1/2880 (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/24))))
(fma.f64 (pow.f64 x 4) -1/2880 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 2) 1/24 (log.f64 x))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(*.f64 3 (log.f64 x))
(+.f64 (*.f64 3/2 x) (*.f64 3 (log.f64 x)))
(fma.f64 3/2 x (*.f64 3 (log.f64 x)))
(fma.f64 3 (log.f64 x) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 3 (log.f64 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 3/2 x) (*.f64 3 (log.f64 x))))
(fma.f64 1/8 (pow.f64 x 2) (fma.f64 3/2 x (*.f64 3 (log.f64 x))))
(fma.f64 (pow.f64 x 2) 1/8 (fma.f64 3 (log.f64 x) (*.f64 x 3/2)))
(fma.f64 3 (log.f64 x) (*.f64 x (+.f64 3/2 (*.f64 x 1/8))))
(+.f64 (*.f64 -1/960 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 3/2 x) (*.f64 3 (log.f64 x)))))
(fma.f64 -1/960 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (fma.f64 3/2 x (*.f64 3 (log.f64 x)))))
(fma.f64 (pow.f64 x 4) -1/960 (fma.f64 (pow.f64 x 2) 1/8 (fma.f64 3 (log.f64 x) (*.f64 x 3/2))))
(fma.f64 (pow.f64 x 4) -1/960 (fma.f64 3 (log.f64 x) (*.f64 x (+.f64 3/2 (*.f64 x 1/8)))))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (expm1.f64 x)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (expm1.f64 x)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (expm1.f64 x)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (expm1.f64 x)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (expm1.f64 x)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (expm1.f64 x)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (expm1.f64 x)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 3 (log.f64 (expm1.f64 x)))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 1 (-.f64 (expm1.f64 x) 1))
(expm1.f64 x)
(+.f64 0 (expm1.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)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(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 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (pow.f64 (expm1.f64 x) 3/4))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (expm1.f64 x)))))
(expm1.f64 x)
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x))))))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.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 (cbrt.f64 (expm1.f64 x)) 8)) (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 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.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 (cbrt.f64 (expm1.f64 x)) 8)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
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(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (*.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (*.f64 3 (cbrt.f64 (log.f64 (expm1.f64 x)))))
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(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (expm1.f64 x)))) (*.f64 3 (sqrt.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2))) (cbrt.f64 (log.f64 (expm1.f64 x))))
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(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (*.f64 1/3 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(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)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(+.f64 (log.f64 (expm1.f64 x)) 0)
(log.f64 (expm1.f64 x))
(+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(log.f64 (expm1.f64 x))
(+.f64 0 (log.f64 (expm1.f64 x)))
(log.f64 (expm1.f64 x))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (cbrt.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 x))) 1)
(log.f64 (expm1.f64 x))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1)) (log.f64 (+.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (log.f64 (+.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (expm1.f64 (*.f64 2 x))) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (log1p.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(pow.f64 (log.f64 (expm1.f64 x)) 1)
(log.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 3)
(log.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 1/2)
(log.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 1/3)
(log.f64 (expm1.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) 2)
(log.f64 (expm1.f64 x))
(pow.f64 (E.f64) (log.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))
(log.f64 (expm1.f64 x))
(log.f64 (expm1.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3))
(log.f64 (expm1.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(exp.f64 (log.f64 (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) 3))
(log.f64 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (expm1.f64 x)))) 1/3))
(log.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) 2))
(log.f64 (expm1.f64 x))
(log1p.f64 (-.f64 (expm1.f64 x) 1))
(log.f64 (expm1.f64 x))
(+.f64 (log.f64 (expm1.f64 x)) (*.f64 2 (log.f64 (expm1.f64 x))))
(*.f64 3 (log.f64 (expm1.f64 x)))
(+.f64 0 (*.f64 3 (log.f64 (expm1.f64 x))))
(*.f64 3 (log.f64 (expm1.f64 x)))
(+.f64 (*.f64 2 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x)))
(*.f64 3 (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (expm1.f64 x) 3/2)) (log.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 3 (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 3 (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (expm1.f64 x) 5/2)) (log.f64 (sqrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (*.f64 5/2 (log.f64 (expm1.f64 x))))
(fma.f64 5/2 (log.f64 (expm1.f64 x)) (log.f64 (sqrt.f64 (expm1.f64 x))))
(-.f64 (+.f64 1 (*.f64 3 (log.f64 (expm1.f64 x)))) 1)
(*.f64 3 (log.f64 (expm1.f64 x)))
(pow.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1)
(*.f64 3 (log.f64 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 3)
(*.f64 3 (log.f64 (expm1.f64 x)))
(pow.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9))
(pow.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27))
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2)
(*.f64 3 (log.f64 (expm1.f64 x)))
(pow.f64 (E.f64) (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(*.f64 3 (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))) 2))) (cbrt.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x))))))
(*.f64 3 (log.f64 (expm1.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) 9))
(log.f64 (pow.f64 (expm1.f64 x) 3))
(*.f64 3 (log.f64 (expm1.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(*.f64 3 (log.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (expm1.f64 x)))))
(*.f64 3 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) 3))
(*.f64 3 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) 27))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 3 (log.f64 (expm1.f64 x))))) 2))
(*.f64 3 (log.f64 (expm1.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (expm1.f64 x) 3) 1))
(log1p.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (expm1.f64 x) 3)))

eval81.0ms (3.2%)

Compiler

Compiled 3905 to 2455 computations (37.1% saved)

prune39.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2960296
Fresh011
Picked011
Done011
Total2963299
Accuracy
100.0%
Counts
299 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(expm1.f64 x)
39.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
98.1%
x
100.0%
(expm1.f64 x)
39.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
98.1%
x
Compiler

Compiled 28 to 22 computations (21.4% 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%
(expm1.f64 x)
39.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
98.1%
x
100.0%
(expm1.f64 x)
39.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
98.1%
x
Compiler

Compiled 28 to 22 computations (21.4% 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%
(expm1.f64 x)
39.2%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
98.1%
x
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes9.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
Outputs
(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 26 to 18 computations (30.8% 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
98.1%1x
Compiler

Compiled 4 to 2 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(expm1.f64 x)
x
Outputs
(expm1.f64 x)
x
Compiler

Compiled 5 to 3 computations (40% saved)

soundness99.0ms (3.9%)

Rules
1460×fma-def
828×associate--r+
794×cancel-sign-sub-inv
652×distribute-lft-in
574×distribute-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12644
24544
36944
411244
522644
653144
7160344
8456244
Stop Event
node limit
Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess29.0ms (1.1%)

Compiler

Compiled 24 to 16 computations (33.3% saved)

Profiling

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