Kahan's exp quotient

Time bar (total: 2.8s)

analyze1.0ms (0%)

Algorithm
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 (42.5%)

Results
495.0ms2087×body1024valid
252.0ms2901×body256valid
212.0ms2057×body256infinite
142.0ms985×body512valid
57.0ms226×body2048valid
Bogosity

preprocess60.0ms (2.2%)

Algorithm
egg-herbie
Rules
1290×div-sub
1216×fma-neg
1162×fma-def
906×cancel-sign-sub-inv
870×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
12930
24730
37930
418530
554330
6163530
7579730
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.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 (neg.f64 x)) 1) (neg.f64 x))
(/.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify17.0ms (0.6%)

Algorithm
egg-herbie
Rules
336×fma-def
68×distribute-rgt-in
52×distribute-lft-in
40×sub-neg
40×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11711
22011
32411
43311
54311
66211
710311
814711
922511
1034711
1153111
1260311
1363911
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

eval0.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Accurracy
100.0%
Counts
3 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.9%
(/.f64 (-.f64 (exp.f64 x) 1) x)
100.0%
(/.f64 (expm1.f64 x) x)
56.9%
(/.f64 (-.f64 (exp.f64 x) 1) x)
100.0%
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize79.0ms (2.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 (exp.f64 x) 1) x)
58.0%
(-.f64 (exp.f64 x) 1)
100.0%
(expm1.f64 x)
100.0%
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 23 to 11 computations (52.2% saved)

series3.0ms (0.1%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (expm1.f64 x) x)
0.0ms
x
@inf
(/.f64 (expm1.f64 x) x)
0.0ms
x
@inf
(/.f64 (-.f64 (exp.f64 x) 1) x)
0.0ms
x
@-inf
(/.f64 (-.f64 (exp.f64 x) 1) x)
0.0ms
x
@0
(/.f64 (expm1.f64 x) x)

rewrite70.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1768×pow1
1642×add-exp-log
1640×log1p-expm1-u
1638×expm1-log1p-u
1612×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
120732
2224132
Stop Event
node limit
Counts
4 → 130
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(/.f64 (-.f64 (exp.f64 x) 1) x)
Outputs
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 1 x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 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 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.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)))
(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) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(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))
(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)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(-.f64 (exp.f64 x) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 1 x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 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 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.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)))
(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) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(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))
(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)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

simplify58.0ms (2.1%)

Algorithm
egg-herbie
Rules
1314×times-frac
996×fma-def
966×associate-*r/
818×unswap-sqr
802×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01753002
13902970
216802398
Stop Event
node limit
Counts
162 → 97
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.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)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 1 x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 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 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.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)))
(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) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(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))
(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)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(-.f64 (exp.f64 x) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 1 x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 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 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.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)))
(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) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(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))
(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)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 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)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 (fma.f64 1/2 x 1) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 (fma.f64 1/2 x 1) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.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 1 (/.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 (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 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.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 (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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) 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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.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 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 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) 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)
(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)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 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)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
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(/.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 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 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) 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)
(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)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 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)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval21.0ms (0.8%)

Compiler

Compiled 1061 to 533 computations (49.8% saved)

prune14.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New93497
Fresh000
Picked022
Done000
Total93699
Accurracy
100.0%
Counts
99 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))))
56.9%
(/.f64 (-.f64 (exp.f64 x) 1) x)
100.0%
(/.f64 (expm1.f64 x) x)
47.4%
(+.f64 (*.f64 1/2 x) 1)
99.9%
(*.f64 (/.f64 1 x) (expm1.f64 x))
47.3%
1
99.5%
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))))
56.9%
(/.f64 (-.f64 (exp.f64 x) 1) x)
100.0%
(/.f64 (expm1.f64 x) x)
47.4%
(+.f64 (*.f64 1/2 x) 1)
99.9%
(*.f64 (/.f64 1 x) (expm1.f64 x))
47.3%
1
Compiler

Compiled 88 to 64 computations (27.3% saved)

localize601.0ms (21.7%)

Local Accuracy

Found 6 expressions with local accuracy:

NewAccuracyProgram
99.6%
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
99.5%
(cbrt.f64 (expm1.f64 x))
99.4%
(pow.f64 (cbrt.f64 x) 2)
99.3%
(cbrt.f64 x)
100.0%
(expm1.f64 x)
99.9%
(*.f64 (/.f64 1 x) (expm1.f64 x))
Compiler

Compiled 79 to 35 computations (55.7% saved)

series57.0ms (2.1%)

Counts
5 → 28
Calls

15 calls:

TimeVariablePointExpression
51.0ms
x
@inf
(cbrt.f64 (expm1.f64 x))
2.0ms
x
@-inf
(cbrt.f64 (expm1.f64 x))
1.0ms
x
@0
(cbrt.f64 (expm1.f64 x))
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 x) 2)
0.0ms
x
@-inf
(cbrt.f64 x)

rewrite106.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
990×log-prod
784×prod-exp
764×exp-prod
586×pow-prod-down
580×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01351
125351
2277851
Stop Event
node limit
Counts
5 → 199
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (expm1.f64 x))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
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 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) 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) (neg.f64 x))
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.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 (expm1.f64 x) x) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(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 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 x (expm1.f64 x)) -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))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.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) (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 (/.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 (*.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 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 0 (cbrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (cbrt.f64 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (pow.f64 x 3) 1/9)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (sqrt.f64 x) 2/3)
(pow.f64 (exp.f64 1/3) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 x)) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(+.f64 0 (pow.f64 (cbrt.f64 x) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2/3 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 x) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1/3))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 x)) (*.f64 (log.f64 x) 1/3)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 x)) (*.f64 (log.f64 (cbrt.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/3) (log.f64 (cbrt.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/3) (*.f64 (log.f64 x) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/3) (*.f64 (log.f64 (cbrt.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) (log.f64 (cbrt.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) (*.f64 (log.f64 x) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) (*.f64 (log.f64 (cbrt.f64 x)) 1)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 0 (cbrt.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x)))) 1)
(*.f64 1 (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(pow.f64 (expm1.f64 x) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1/2)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) 3/2)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/6)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/9)
(pow.f64 (pow.f64 (expm1.f64 x) 1/6) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2/3)
(pow.f64 (exp.f64 1/3) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(fabs.f64 (cbrt.f64 (expm1.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 0 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))

simplify140.0ms (5.1%)

Algorithm
egg-herbie
Rules
1532×fma-def
1070×distribute-lft-in
1008×distribute-rgt-in
580×exp-prod
518×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04418589937691
18703009
222453005
Stop Event
node limit
Counts
227 → 237
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.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)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(+.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 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) 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) (neg.f64 x))
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.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 (expm1.f64 x) x) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(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 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 x (expm1.f64 x)) -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))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.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) (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 (/.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 (*.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 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 0 (cbrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (cbrt.f64 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (pow.f64 x 3) 1/9)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (sqrt.f64 x) 2/3)
(pow.f64 (exp.f64 1/3) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 x)) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(+.f64 0 (pow.f64 (cbrt.f64 x) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2/3 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 x) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1/3))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 x)) (*.f64 (log.f64 x) 1/3)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 x)) (*.f64 (log.f64 (cbrt.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/3) (log.f64 (cbrt.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/3) (*.f64 (log.f64 x) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/3) (*.f64 (log.f64 (cbrt.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) (log.f64 (cbrt.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) (*.f64 (log.f64 x) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) (*.f64 (log.f64 (cbrt.f64 x)) 1)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 0 (cbrt.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x)))) 1)
(*.f64 1 (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(pow.f64 (expm1.f64 x) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1/2)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) 3/2)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/6)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/9)
(pow.f64 (pow.f64 (expm1.f64 x) 1/6) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2/3)
(pow.f64 (exp.f64 1/3) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(fabs.f64 (cbrt.f64 (expm1.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 0 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 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)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(+.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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (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 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) 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 (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 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -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))))
(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)
(log.f64 (+.f64 1 (expm1.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) (pow.f64 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 (/.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 (*.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 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (neg.f64 (log.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (*.f64 (log.f64 x) -1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (*.f64 (neg.f64 (log.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (log.f64 x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (*.f64 (log.f64 x) 1)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 0 (cbrt.f64 x))
(cbrt.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (fabs.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(cbrt.f64 x)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(pow.f64 (*.f64 x x) 1/6)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 3) 1/9)
(*.f64 (pow.f64 (pow.f64 x 3) 1/18) (pow.f64 (pow.f64 x 3) 1/18))
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(pow.f64 (sqrt.f64 x) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 1/3) (log.f64 x))
(cbrt.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(cbrt.f64 x)
(fabs.f64 (cbrt.f64 x))
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(cbrt.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) 1))
(cbrt.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 1))
(cbrt.f64 x)
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1/2))
(cbrt.f64 x)
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(cbrt.f64 x)
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 x)) 2))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(+.f64 0 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (cbrt.f64 x) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))
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(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(pow.f64 (cbrt.f64 x) 2)
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 2/3 (log.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (log.f64 x) 2/3))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 2/3))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1/3) 2))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) 2))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1) 1))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 x))) 3))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1/3))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (+.f64 (log.f64 (cbrt.f64 x)) (*.f64 (log.f64 x) 1/3)))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (+.f64 (log.f64 (cbrt.f64 x)) (*.f64 (log.f64 (cbrt.f64 x)) 1)))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/3) (log.f64 (cbrt.f64 x))))
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(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/3) (*.f64 (log.f64 x) 1/3)))
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(exp.f64 (+.f64 (*.f64 (log.f64 x) 1/3) (*.f64 (log.f64 (cbrt.f64 x)) 1)))
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(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) (log.f64 (cbrt.f64 x))))
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(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) (*.f64 (log.f64 x) 1/3)))
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(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1) (*.f64 (log.f64 (cbrt.f64 x)) 1)))
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(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(+.f64 0 (cbrt.f64 (expm1.f64 x)))
(cbrt.f64 (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x)))) 1)
(cbrt.f64 (expm1.f64 x))
(*.f64 1 (cbrt.f64 (expm1.f64 x)))
(cbrt.f64 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) 1)
(cbrt.f64 (expm1.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(cbrt.f64 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (expm1.f64 x))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (expm1.f64 x) 1/6))
(cbrt.f64 (expm1.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(cbrt.f64 (expm1.f64 x))
(pow.f64 (expm1.f64 x) 1/3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 1)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1/2)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) 3/2)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/6)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3) 1/18) (pow.f64 (pow.f64 (expm1.f64 x) 3) 1/18))
(pow.f64 (pow.f64 (expm1.f64 x) 1/6) 2)
(cbrt.f64 (expm1.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 1/3) (log.f64 (expm1.f64 x)))
(cbrt.f64 (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(cbrt.f64 (expm1.f64 x))
(fabs.f64 (cbrt.f64 (expm1.f64 x)))
(cbrt.f64 (expm1.f64 x))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 x)))))
(cbrt.f64 (expm1.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) 1/3))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) 1))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 1))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1/2))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1/2))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(cbrt.f64 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (expm1.f64 x))) 2))
(cbrt.f64 (expm1.f64 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (expm1.f64 x))
(+.f64 0 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) 1)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 2/3))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) 2/3))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) 2))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 2))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (expm1.f64 x)))) 3))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (expm1.f64 x))) 1/3))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)

eval106.0ms (3.8%)

Compiler

Compiled 7257 to 3523 computations (51.5% saved)

prune57.0ms (2.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3831384
Fresh011
Picked033
Done022
Total3837390
Accurracy
100.0%
Counts
390 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))))
56.9%
(/.f64 (-.f64 (exp.f64 x) 1) x)
100.0%
(/.f64 (expm1.f64 x) x)
47.4%
(+.f64 (*.f64 1/2 x) 1)
99.9%
(*.f64 (/.f64 1 x) (expm1.f64 x))
47.2%
(*.f64 (/.f64 1 x) x)
47.3%
1
99.5%
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))))
56.9%
(/.f64 (-.f64 (exp.f64 x) 1) x)
100.0%
(/.f64 (expm1.f64 x) x)
47.4%
(+.f64 (*.f64 1/2 x) 1)
99.9%
(*.f64 (/.f64 1 x) (expm1.f64 x))
47.2%
(*.f64 (/.f64 1 x) x)
47.3%
1
Compiler

Compiled 100 to 72 computations (28% saved)

localize22.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (/.f64 1 x) x)
Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (/.f64 1 x) x)
0.0ms
x
@inf
(*.f64 (/.f64 1 x) x)
0.0ms
x
@-inf
(*.f64 (/.f64 1 x) x)

rewrite52.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
846×pow1
816×add-sqr-sqrt
800×*-un-lft-identity
778×add-exp-log
778×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
11211
211361
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) x)
Outputs
1

simplify12.0ms (0.4%)

Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
1513
Stop Event
saturated
Counts
13 → 1
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New101
Fresh011
Picked011
Done055
Total178
Accurracy
100.0%
Counts
8 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))))
56.9%
(/.f64 (-.f64 (exp.f64 x) 1) x)
100.0%
(/.f64 (expm1.f64 x) x)
47.4%
(+.f64 (*.f64 1/2 x) 1)
99.9%
(*.f64 (/.f64 1 x) (expm1.f64 x))
47.2%
(*.f64 (/.f64 1 x) x)
47.3%
1
99.5%
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))))
56.9%
(/.f64 (-.f64 (exp.f64 x) 1) x)
100.0%
(/.f64 (expm1.f64 x) x)
47.4%
(+.f64 (*.f64 1/2 x) 1)
99.9%
(*.f64 (/.f64 1 x) (expm1.f64 x))
47.2%
(*.f64 (/.f64 1 x) x)
47.3%
1
Compiler

Compiled 100 to 72 computations (28% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Accurracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))))
56.9%
(/.f64 (-.f64 (exp.f64 x) 1) x)
100.0%
(/.f64 (expm1.f64 x) x)
47.4%
(+.f64 (*.f64 1/2 x) 1)
99.9%
(*.f64 (/.f64 1 x) (expm1.f64 x))
47.2%
(*.f64 (/.f64 1 x) x)
47.3%
1
Compiler

Compiled 94 to 63 computations (33% saved)

regimes13.0ms (0.5%)

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

2 calls:

8.0ms
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 53 to 33 computations (37.7% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
1
(*.f64 (/.f64 1 x) x)
(+.f64 (*.f64 1/2 x) 1)
Outputs
(+.f64 (*.f64 1/2 x) 1)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
47.4%1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
47.3%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
11425
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(+.f64 (*.f64 1/2 x) 1)
1
Outputs
(/.f64 (expm1.f64 x) x)
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 x 1/2) 1)
1
Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness35.0ms (1.3%)

Rules
336×fma-def
68×distribute-rgt-in
52×distribute-lft-in
40×sub-neg
40×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11711
22011
32411
43311
54311
66211
710311
814711
922511
1034711
1153111
1260311
1363911
Stop Event
saturated
Compiler

Compiled 11 to 7 computations (36.4% saved)

end0.0ms (0%)

preprocess41.0ms (1.5%)

Compiler

Compiled 82 to 56 computations (31.7% saved)

Profiling

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