Kahan's exp quotient

Time bar (total: 2.8s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.2s (43.4%)

Results
559.0ms2124×body1024valid
252.0ms2884×body256valid
202.0ms2015×body256infinite
166.0ms1092×body512valid
41.0ms141×body2048valid
Bogosity

preprocess127.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
1784×div-sub
1494×fma-neg
1012×times-frac
642×distribute-lft-neg-in
556×distribute-rgt-neg-in
Problems
132×(-.f64 (exp.f64 x) 1)
124×No Errors
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01588
13688
26586
314480
438080
5103480
6409480
7762680
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x)))
Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x))
(/.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 x))
(*.f64 1 (/.f64 (expm1.f64 (neg.f64 x)) x))
(/.f64 (expm1.f64 (neg.f64 x)) x)
Compiler

Compiled 23 to 14 computations (39.1% saved)

eval0.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

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

Compiled 10 to 6 computations (40% saved)

localize21.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 9 to 4 computations (55.6% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (expm1.f64 x) x)
1.0ms
x
@inf
(/.f64 (expm1.f64 x) x)
0.0ms
x
@0
(/.f64 (expm1.f64 x) x)

rewrite104.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
508×unpow-prod-down
354×cbrt-prod
352×log-prod
332×log1p-expm1-u
331×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
16817
288217
Stop Event
1×node limit
Counts
1 → 64
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
Outputs
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (*.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

simplify68.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
960×fma-def
714×associate-*r/
690×unswap-sqr
682×distribute-lft-in
626×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02152185
15002106
215942042
378822042
Stop Event
1×node limit
Counts
76 → 99
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (*.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (*.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (/.f64 (expm1.f64 x) x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (pow.f64 (/.f64 (expm1.f64 x) x) 3/4))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1) (pow.f64 (expm1.f64 x) -1/2))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1) (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (pow.f64 (/.f64 (expm1.f64 x) x) 3/4))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5/2))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval21.0ms (0.7%)

Compiler

Compiled 1124 to 513 computations (54.4% saved)

prune21.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New96399
Fresh000
Picked011
Done000
Total964100
Accuracy
100.0%
Counts
100 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
▶53.0%
(+.f64 1 (*.f64 1/2 x))
▶49.8%
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
52.7%
1
✓100.0%
(/.f64 (expm1.f64 x) x)
▶53.0%
(+.f64 1 (*.f64 1/2 x))
▶49.8%
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
52.7%
1
Compiler

Compiled 56 to 42 computations (25% saved)

localize76.0ms (2.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.9%
(/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x))))
✓99.9%
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
✓99.9%
(/.f64 1 (pow.f64 (expm1.f64 x) -1/2))
✓99.8%
(/.f64 x (sqrt.f64 (expm1.f64 x)))
Compiler

Compiled 57 to 30 computations (47.4% saved)

series8.0ms (0.3%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 x (sqrt.f64 (expm1.f64 x)))
1.0ms
x
@0
(/.f64 1 (pow.f64 (expm1.f64 x) -1/2))
1.0ms
x
@0
(/.f64 x (sqrt.f64 (expm1.f64 x)))
1.0ms
x
@-inf
(/.f64 x (sqrt.f64 (expm1.f64 x)))
1.0ms
x
@-inf
(/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x))))

rewrite87.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
898×log-prod
775×log1p-expm1-u
774×expm1-log1p-u
620×pow-prod-down
466×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01598
118677
2242777
Stop Event
1×node limit
Counts
4 → 204
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(/.f64 1 (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x))))
Outputs
(+.f64 0 (/.f64 x (sqrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) 1)
(*.f64 x (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) 1)
(*.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (/.f64 x (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) -1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))

simplify93.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
962×div-sub
918×log-prod
862×exp-prod
728×times-frac
648×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04655930
110135773
243105460
Stop Event
1×node limit
Counts
240 → 256
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(+.f64 0 (/.f64 x (sqrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) 1)
(*.f64 x (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) 1)
(*.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (/.f64 x (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) 1/4)) (/.f64 x (pow.f64 (expm1.f64 x) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (expm1.f64 x) 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 (expm1.f64 x) 1/4)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 x 1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (/.f64 x -1) (neg.f64 (pow.f64 (expm1.f64 x) -1/2)))
(pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) 1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -1)
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 3)
(pow.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)) 1/2)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1) -1)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) -3/2)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (expm1.f64 x) -1/4) (sqrt.f64 x)) 2)
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(sqrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) -1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 1) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) 2))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(+.f64 0 (sqrt.f64 (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 x)))) 1)
(*.f64 (sqrt.f64 (expm1.f64 x)) 1)
(*.f64 (sqrt.f64 (expm1.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (expm1.f64 x)))
(*.f64 -1 (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) -1))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (expm1.f64 x) 1/2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 1)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1)
(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3/2) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/4)
(pow.f64 (pow.f64 (expm1.f64 x) -1) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 1/4) 2)
(pow.f64 (pow.f64 (expm1.f64 x) -1/4) -2)
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 x) -1/2))) -1)
(sqrt.f64 (expm1.f64 x))
(fabs.f64 (sqrt.f64 (expm1.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (expm1.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 (expm1.f64 x))) -1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 (expm1.f64 x))) 1) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 x))))
(+.f64 0 (*.f64 (/.f64 1 x) (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)))) 1)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 1 (pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) -1))
(/.f64 1 (*.f64 (neg.f64 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))))
(/.f64 1 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x))) (neg.f64 (pow.f64 (expm1.f64 x) -1/2))))
(/.f64 1 (/.f64 (pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) -1) 1))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) -1/2))
(/.f64 -1 (*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))))
(/.f64 -1 (*.f64 (neg.f64 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(/.f64 -1 (*.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (neg.f64 (pow.f64 (expm1.f64 x) -1/2))))
(/.f64 -1 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) -1/2)))
(/.f64 -1 (neg.f64 (pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) -1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (expm1.f64 x))) (/.f64 (pow.f64 (expm1.f64 x) -1/2) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (/.f64 (pow.f64 (expm1.f64 x) -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(/.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/4)))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 (pow.f64 (expm1.f64 x) -1/2) (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (neg.f64 (pow.f64 (expm1.f64 x) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) -1/4)) (pow.f64 (expm1.f64 x) -1/4))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) -1) (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -1) (neg.f64 (pow.f64 (expm1.f64 x) -1/2)))
(/.f64 (*.f64 -1 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (neg.f64 (pow.f64 (expm1.f64 x) -1/2)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1) (pow.f64 (expm1.f64 x) -1/2))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (cbrt.f64 (pow.f64 (expm1.f64 x) -1))) (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)))
(pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) -1) -1)
(pow.f64 (*.f64 (neg.f64 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))) -1)
(pow.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x))) (neg.f64 (pow.f64 (expm1.f64 x) -1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) -1) 1) -1)
(pow.f64 (*.f64 x (pow.f64 (expm1.f64 x) -1)) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -3) (pow.f64 (expm1.f64 x) -3/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 1 x) (expm1.f64 x)) -1)) -1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (expm1.f64 x))))
(+.f64 0 (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 1)
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))
(*.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (cbrt.f64 (*.f64 (pow.f64 x -2) (expm1.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (expm1.f64 x))) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) 1) (/.f64 (pow.f64 (expm1.f64 x) 1/4) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 x)) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 1 x) 1) (sqrt.f64 (expm1.f64 x)))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 3)
(pow.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)) -1/2)
(pow.f64 (*.f64 (pow.f64 x -2) (expm1.f64 x)) 1/2)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) -2)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 2)
(pow.f64 (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))) -1)
(sqrt.f64 (*.f64 (pow.f64 x -2) (expm1.f64 x)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) -1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
Outputs
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (expm1.f64 x))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (expm1.f64 x))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (expm1.f64 x))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (expm1.f64 x))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (expm1.f64 x))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (expm1.f64 x))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (expm1.f64 x))
(sqrt.f64 (-.f64 (exp.f64 x) 1))
(sqrt.f64 (expm1.f64 x))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
(fma.f64 x 1/2 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 1 (fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (fma.f64 x 1/2 1) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 x 1/2 1))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(+.f64 0 (/.f64 x (sqrt.f64 (expm1.f64 x))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) 1)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 x (pow.f64 (expm1.f64 x) -1/2))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) 1)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) x)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (/.f64 x (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(/.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) 1/4)) (/.f64 x (pow.f64 (expm1.f64 x) 1/4)))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (expm1.f64 x) 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 (expm1.f64 x) 1/4)))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (/.f64 x (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(/.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 x 1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 x -1) (neg.f64 (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) 1)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -1)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 3)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)) 1/2)
(sqrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) 3) 1/3)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 2)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1) -1)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) -3/2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) -3/2)))
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -1/2)) (cbrt.f64 x)) 3)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(pow.f64 (*.f64 (pow.f64 (expm1.f64 x) -3/2) (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) -3/2)))
(pow.f64 (*.f64 (pow.f64 (expm1.f64 x) -1/4) (sqrt.f64 x)) 2)
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) 3))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 x (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 x (sqrt.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 1))
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(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 1)
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (log.f64 (exp.f64 1)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (cbrt.f64 (*.f64 (pow.f64 x -2) (expm1.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (expm1.f64 x))) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))))
(/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) 1) (/.f64 (pow.f64 (expm1.f64 x) 1/4) x))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 x)))
(/.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 x)) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (*.f64 (/.f64 1 x) 1) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) x))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1)
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 3)
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(pow.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)) -1/2)
(pow.f64 (*.f64 (pow.f64 x -2) (expm1.f64 x)) 1/2)
(sqrt.f64 (*.f64 (expm1.f64 x) (pow.f64 x -2)))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -3))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) -2)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 2)
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(pow.f64 (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))) -1)
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(sqrt.f64 (*.f64 (pow.f64 x -2) (expm1.f64 x)))
(sqrt.f64 (*.f64 (expm1.f64 x) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 x 3)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) -1))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 1))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 1) -1))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) -1) 1))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 1) 1))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 3))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 1/3))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))) 2))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) x)

eval63.0ms (2.2%)

Compiler

Compiled 4072 to 2085 computations (48.8% saved)

prune34.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2551256
Fresh011
Picked112
Done011
Total2564260
Accuracy
100.0%
Counts
260 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.8%
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
✓100.0%
(/.f64 (expm1.f64 x) x)
✓53.0%
(+.f64 1 (*.f64 1/2 x))
52.7%
1
▶49.8%
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
✓100.0%
(/.f64 (expm1.f64 x) x)
✓53.0%
(+.f64 1 (*.f64 1/2 x))
52.7%
1
Compiler

Compiled 46 to 30 computations (34.8% saved)

localize47.0ms (1.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
99.8%
(/.f64 x (sqrt.f64 (expm1.f64 x)))
Compiler

Compiled 22 to 6 computations (72.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
0.0ms
x
@0
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
0.0ms
x
@-inf
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))

rewrite65.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1096×unpow-prod-down
632×log-prod
557×log1p-expm1-u
556×expm1-log1p-u
474×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
111417
2155717
Stop Event
1×node limit
Counts
1 → 76
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
Outputs
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) 1) (/.f64 (pow.f64 (expm1.f64 x) 1/6) (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) 1) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) x) (pow.f64 (expm1.f64 x) 3/4))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) -2) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1/2) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) (/.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/4) -1) (pow.f64 (/.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/4)) -1))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (expm1.f64 x) 1/4)) -1) (pow.f64 (pow.f64 (expm1.f64 x) -3/4) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (sqrt.f64 (expm1.f64 x))) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 x 1) -1) (pow.f64 (pow.f64 (expm1.f64 x) -1) -1))
(*.f64 (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/4)) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) -1))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/2) (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1) (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (*.f64 (log.f64 (expm1.f64 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

simplify54.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1112×unswap-sqr
872×associate-*r/
842×associate-/l*
718×associate-*l/
716×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02623158
16433054
219842968
Stop Event
1×node limit
Counts
88 → 136
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) 1) (/.f64 (pow.f64 (expm1.f64 x) 1/6) (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) 1) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) x) (pow.f64 (expm1.f64 x) 3/4))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) -2) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1/2) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) (/.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/4) -1) (pow.f64 (/.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/4)) -1))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (expm1.f64 x) 1/4)) -1) (pow.f64 (pow.f64 (expm1.f64 x) -3/4) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (sqrt.f64 (expm1.f64 x))) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 x 1) -1) (pow.f64 (pow.f64 (expm1.f64 x) -1) -1))
(*.f64 (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/4)) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) -1))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/2) (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1) (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (*.f64 (log.f64 (expm1.f64 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (exp.f64 1)))
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (/.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) 1) (/.f64 (pow.f64 (expm1.f64 x) 1/6) (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (/.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) 1) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(/.f64 (expm1.f64 x) x)
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (pow.f64 (/.f64 x 1) -1) (pow.f64 (pow.f64 (expm1.f64 x) -1) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (/.f64 1 (/.f64 x (cbrt.f64 (expm1.f64 x)))) (/.f64 1 (/.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) 1/6))))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (expm1.f64 x))) (*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (pow.f64 (expm1.f64 x) 1/6)))
(/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) (/.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/4) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (/.f64 (pow.f64 (expm1.f64 x) 1/4) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(/.f64 (/.f64 (pow.f64 (expm1.f64 x) 1/2) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)))) (/.f64 1 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/6))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (cbrt.f64 (expm1.f64 x))) 1) (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/6)))
(/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/4)) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) -1))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/4))) (/.f64 1 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) 1) (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)))
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x)))))
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/6)) -1))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))) (/.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) -1))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))) (pow.f64 (expm1.f64 x) 1/4)) -2)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -3)) 1/3)
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(neg.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (neg.f64 x) (sqrt.f64 (expm1.f64 x)))))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/2) (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1) (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (*.f64 (log.f64 (expm1.f64 x)) 1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 1)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval45.0ms (1.6%)

Compiler

Compiled 2781 to 1119 computations (59.8% saved)

prune25.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1951196
Fresh011
Picked101
Done022
Total1964200
Accuracy
100.0%
Counts
200 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓53.0%
(+.f64 1 (*.f64 1/2 x))
▶87.6%
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
52.7%
1
✓100.0%
(/.f64 (expm1.f64 x) x)
✓53.0%
(+.f64 1 (*.f64 1/2 x))
▶87.6%
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
52.7%
1
Compiler

Compiled 42 to 32 computations (23.8% saved)

localize124.0ms (4.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 x (expm1.f64 x))
✓100.0%
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
✓87.6%
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
Compiler

Compiled 23 to 10 computations (56.5% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
1.0ms
x
@-inf
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
0.0ms
x
@0
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
0.0ms
x
@0
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
0.0ms
x
@0
(/.f64 x (expm1.f64 x))

rewrite74.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1108×unpow-prod-down
526×log-prod
474×log1p-expm1-u
473×expm1-log1p-u
428×prod-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01163
111457
2136857
Stop Event
1×node limit
Counts
3 → 213
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
(/.f64 x (expm1.f64 x))
Outputs
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) -2))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -4)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5) 1/3))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3/2) 1/2))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) -2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) -2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) -2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) -2))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (neg.f64 x) -1) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3/2) 1/2) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 x -2) 1/2) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 4) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 3/2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -4) 1/4)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -6) 1/6)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 x (expm1.f64 x))))
(pow.f64 (exp.f64 1/2) (log.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(fabs.f64 (/.f64 (expm1.f64 x) x))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) -2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (/.f64 x (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 0 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) 1)
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1)
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (log.f64 (E.f64)))
(*.f64 (/.f64 (expm1.f64 x) x) (/.f64 (expm1.f64 x) x))
(*.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 4) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 4) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -4) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x -2))
(*.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (/.f64 1 x) 2))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (/.f64 x (expm1.f64 x)) -3/2))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3/2) -1))
(*.f64 (pow.f64 x -2) (pow.f64 (expm1.f64 x) 2))
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3/2) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 1 x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) -2))
(*.f64 (/.f64 1 x) (pow.f64 (*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 x (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (neg.f64 x) -2) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -2) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -2) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -2) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -2) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -2) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -2) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (expm1.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 2) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (pow.f64 x -1/2) 2) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) 2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) 2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) 2) 3) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 4) -1) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (pow.f64 x 2) -1) (pow.f64 (pow.f64 (expm1.f64 x) -2) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3/2) -1) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (*.f64 (/.f64 x (expm1.f64 x)) x) -1) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 5) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 4) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 5) 1/2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -5) 1/3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 4) 2) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -4))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 x (expm1.f64 x)))) -1))
(exp.f64 (*.f64 (*.f64 -4 (log.f64 (/.f64 x (expm1.f64 x)))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(+.f64 0 (/.f64 x (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1)
(*.f64 x (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 x (expm1.f64 x)) 1)
(*.f64 (/.f64 x (expm1.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (/.f64 x (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) x)
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) -1) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 2) 3) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 x (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) x) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (expm1.f64 x)) (cbrt.f64 (/.f64 x (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))))
(pow.f64 (/.f64 x (expm1.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) -1/2)
(pow.f64 (/.f64 (expm1.f64 x) x) -1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) -3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) -2)
(pow.f64 (E.f64) (log.f64 (/.f64 x (expm1.f64 x))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (expm1.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (expm1.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x))))

simplify109.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1084×sqr-pow
594×log-prod
526×exp-prod
526×associate-*l*
514×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05497749
113827225
243207083
Stop Event
1×node limit
Counts
249 → 347
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) x))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 7/12 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 7/12 (pow.f64 x 2)))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 2)))))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) -2))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -4)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5) 1/3))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3/2) 1/2))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) -2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) -2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) -2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) -2))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (neg.f64 x) -1) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3/2) 1/2) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 x -2) 1/2) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 4) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 3/2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -4) 1/4)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -6) 1/6)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 x (expm1.f64 x))))
(pow.f64 (exp.f64 1/2) (log.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(fabs.f64 (/.f64 (expm1.f64 x) x))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) -2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (/.f64 x (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 0 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) 1)
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1)
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (log.f64 (E.f64)))
(*.f64 (/.f64 (expm1.f64 x) x) (/.f64 (expm1.f64 x) x))
(*.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 4) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 4) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -4) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x -2))
(*.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (/.f64 1 x) 2))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (/.f64 x (expm1.f64 x)) -3/2))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3/2) -1))
(*.f64 (pow.f64 x -2) (pow.f64 (expm1.f64 x) 2))
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3/2) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 1 x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) -2))
(*.f64 (/.f64 1 x) (pow.f64 (*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 x (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (neg.f64 x) -2) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -2) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -2) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -2) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -2) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -2) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -2) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -2))
(*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (expm1.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 2) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (pow.f64 x -1/2) 2) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) 2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) 2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) 2) 3) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 4) -1) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (pow.f64 x 2) -1) (pow.f64 (pow.f64 (expm1.f64 x) -2) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3/2) -1) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (*.f64 (/.f64 x (expm1.f64 x)) x) -1) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 5) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 4) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 5) 1/2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -5) 1/3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 4) 2) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -4))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 x (expm1.f64 x)))) -1))
(exp.f64 (*.f64 (*.f64 -4 (log.f64 (/.f64 x (expm1.f64 x)))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(+.f64 0 (/.f64 x (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1)
(*.f64 x (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 x (expm1.f64 x)) 1)
(*.f64 (/.f64 x (expm1.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (/.f64 x (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) x)
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) -1) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 2) 3) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 x (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) x) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (expm1.f64 x)) (cbrt.f64 (/.f64 x (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))))
(pow.f64 (/.f64 x (expm1.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) -1/2)
(pow.f64 (/.f64 (expm1.f64 x) x) -1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) -3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) -2)
(pow.f64 (E.f64) (log.f64 (/.f64 x (expm1.f64 x))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (expm1.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (expm1.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x))))
Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) x))
(/.f64 (neg.f64 (expm1.f64 x)) x)
(neg.f64 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) (neg.f64 x))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) x))
(/.f64 (neg.f64 (expm1.f64 x)) x)
(neg.f64 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) (neg.f64 x))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) x))
(/.f64 (neg.f64 (expm1.f64 x)) x)
(neg.f64 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) (neg.f64 x))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) x))
(/.f64 (neg.f64 (expm1.f64 x)) x)
(neg.f64 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) (neg.f64 x))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 7/12 (pow.f64 x 2))))
(+.f64 (+.f64 1 x) (*.f64 (pow.f64 x 2) 7/12))
(+.f64 1 (fma.f64 (pow.f64 x 2) 7/12 x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 7/12 (pow.f64 x 2)))))
(+.f64 (+.f64 1 x) (fma.f64 1/4 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 7/12)))
(+.f64 1 (+.f64 x (fma.f64 (pow.f64 x 2) 7/12 (*.f64 (pow.f64 x 3) 1/4))))
(+.f64 1 (+.f64 (fma.f64 (pow.f64 x 2) 7/12 x) (*.f64 (pow.f64 x 3) 1/4)))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x 2))
(pow.f64 (/.f64 (expm1.f64 x) x) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x 2))
(pow.f64 (/.f64 (expm1.f64 x) x) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x 2))
(pow.f64 (/.f64 (expm1.f64 x) x) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x 2))
(pow.f64 (/.f64 (expm1.f64 x) x) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x 2))
(pow.f64 (/.f64 (expm1.f64 x) x) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
(/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x 2))
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(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))
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(pow.f64 (/.f64 (expm1.f64 x) x) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))))
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(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/12))))
(+.f64 1 (fma.f64 x -1/2 (fma.f64 (pow.f64 x 2) 1/12 (*.f64 -1/720 (pow.f64 x 4)))))
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(/.f64 x (-.f64 (exp.f64 x) 1))
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(/.f64 x (expm1.f64 x))
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(/.f64 x (expm1.f64 x))
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(/.f64 x (expm1.f64 x))
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(/.f64 x (-.f64 (exp.f64 x) 1))
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(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
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(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) -4)
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(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))))
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(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
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(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
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(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 x (expm1.f64 x)))) -1))
(/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x 2))
(pow.f64 (/.f64 (expm1.f64 x) x) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
(exp.f64 (*.f64 (*.f64 -4 (log.f64 (/.f64 x (expm1.f64 x)))) 1/2))
(/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x 2))
(pow.f64 (/.f64 (expm1.f64 x) x) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -6)) 1/3))
(/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x 2))
(pow.f64 (/.f64 (expm1.f64 x) x) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 x 2))
(pow.f64 (/.f64 (expm1.f64 x) x) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -2)
(+.f64 0 (/.f64 x (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1)
(/.f64 x (expm1.f64 x))
(*.f64 x (/.f64 1 (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 x (expm1.f64 x)) 1)
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 x (expm1.f64 x)) (log.f64 (E.f64)))
(/.f64 x (expm1.f64 x))
(*.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(/.f64 x (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) -1))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) x)
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (/.f64 1 x) -1))
(/.f64 x (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 (pow.f64 (expm1.f64 x) -1/2) x) (sqrt.f64 (expm1.f64 x)))
(/.f64 (*.f64 x (pow.f64 (expm1.f64 x) -1/2)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) -1) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) -1))
(/.f64 x (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 1 (/.f64 (expm1.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 1 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x))) (/.f64 1 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) -1))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(/.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 2) 3) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3))
(/.f64 x (expm1.f64 x))
(*.f64 (pow.f64 1 1/3) (/.f64 x (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) x) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x (expm1.f64 x)) 2))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 (expm1.f64 x) x) -2))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (expm1.f64 x)) (cbrt.f64 (/.f64 x (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (expm1.f64 x)) (cbrt.f64 (/.f64 x (expm1.f64 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 5/2)))
(pow.f64 (/.f64 x (expm1.f64 x)) 1)
(/.f64 x (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) -1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) -1/2)
(pow.f64 (/.f64 (expm1.f64 x) x) -1)
(/.f64 x (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)
(/.f64 x (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) -3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) 1/2)
(/.f64 x (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)
(/.f64 x (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3) -1/6) (pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -3) -1/6))
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)
(/.f64 x (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) -2)
(pow.f64 (E.f64) (log.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(/.f64 x (expm1.f64 x))
(pow.f64 (/.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(/.f64 x (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (expm1.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (expm1.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))
(/.f64 x (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))
(/.f64 x (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3)))
(/.f64 x (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) -1))
(/.f64 x (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3))
(/.f64 x (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (expm1.f64 x)))) 1/3))
(/.f64 x (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) 2))
(/.f64 x (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))

eval85.0ms (3%)

Compiler

Compiled 4630 to 2321 computations (49.9% saved)

prune48.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3470347
Fresh011
Picked011
Done022
Total3474351
Accuracy
100.0%
Counts
351 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓53.0%
(+.f64 1 (*.f64 1/2 x))
✓87.6%
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
52.7%
1
Compiler

Compiled 68 to 42 computations (38.2% saved)

regimes10.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
Outputs
(/.f64 (expm1.f64 x) x)
Calls

2 calls:

5.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) 1) x)
Compiler

Compiled 56 to 32 computations (42.9% saved)

regimes4.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 x))
Outputs
(+.f64 1 (*.f64 1/2 x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
53.0%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
52.7%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×1-exp
2×+-commutative
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
11634
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (*.f64 1/2 x))
1
Outputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
1
Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness135.0ms (4.8%)

Rules
1784×div-sub
1494×fma-neg
1012×times-frac
642×distribute-lft-neg-in
556×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01588
13688
26586
314480
438080
5103480
6409480
7762680
Stop Event
1×node limit
Compiler

Compiled 11 to 7 computations (36.4% saved)

end0.0ms (0%)

preprocess45.0ms (1.6%)

Compiler

Compiled 82 to 56 computations (31.7% saved)

Profiling

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