expq2 (section 3.11)

Time bar (total: 6.7s)

analyze118.0ms (1.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%75.2%24.8%0%0%0%0
0%0%75.2%24.8%0%0%0%1
0%0%75.2%24.8%0%0%0%2
25%18.8%56.4%24.8%0%0%0%3
37.5%28.2%47%24.8%0%0%0%4
37.5%28.2%47%24.8%0%0%0%5
40.6%30.5%44.6%24.8%0%0%0%6
42.2%31.7%43.5%24.8%0%0%0%7
42.2%31.7%43.5%24.8%0%0%0%8
43%32.3%42.9%24.8%0%0%0%9
43%32.3%42.9%24.8%0%0%0%10
43.1%32.4%42.8%24.8%0%0%0%11
43.1%32.4%42.8%24.8%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.6s (24.1%)

Results
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
3.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
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0.0ms256valid
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0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
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0.0ms1024valid
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0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
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0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
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0.0ms1024valid
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0.0ms1024valid
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0.0ms512valid
0.0ms512valid
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0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
2.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
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0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
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0.0ms1024valid
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0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
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0.0ms256valid
0.0ms1024valid
0.0ms256valid
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0.0ms1024valid
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0.0ms256valid
0.0ms1024valid
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0.0ms1024valid
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0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
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0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
4.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
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0.0ms1024valid
0.0ms1024valid
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0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
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0.0ms1024valid
0.0ms1024valid
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0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
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0.0ms512valid
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0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
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0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
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0.0ms512valid
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0.0ms1024valid
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0.0ms512valid
0.0ms2048valid
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0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
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0.0ms512valid
0.0ms512valid
0.0ms1024valid
1.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
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0.0ms256valid
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0.0ms1024valid
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0.0ms2048valid
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0.0ms2048valid
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0.0ms2048valid
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42.0ms1024valid
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0.0ms1024valid
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Bogosity

preprocess182.0ms (2.7%)

Algorithm
egg-herbie
Rules
1256×distribute-lft-in
946×fma-neg
910×div-sub
778×times-frac
652×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1660-0-(-.f64 (exp.f64 x) 1)
00-0-x
00-0-(exp.f64 x)
00-0-(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
00-0-1
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
015104
133102
246102
368102
413582
543982
6224882
7455878
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1)))
Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 1 (neg.f64 (expm1.f64 x)))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (expm1.f64 (neg.f64 x)))
(/.f64 (/.f64 -1 (exp.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 -1 (*.f64 (exp.f64 x) (expm1.f64 (neg.f64 x))))
(/.f64 -1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (neg.f64 (expm1.f64 x)))
Compiler

Compiled 42 to 23 computations (45.2% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

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

Compiled 6 to 4 computations (33.3% saved)

localize23.0ms (0.3%)

Localize:

Found 2 expressions with local error:

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

Compiled 12 to 5 computations (58.3% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite183.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
604×unpow-prod-down
430×log-prod
420×cbrt-prod
391×log1p-expm1-u
390×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
18529
2106729
Stop Event
node limit
Counts
2 → 105
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
Outputs
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.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)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 1 (expm1.f64 x))
(+.f64 0 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(-.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (exp.f64 x) 1)
(*.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 x))) (pow.f64 (E.f64) (*.f64 1/3 x)))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 x)) (pow.f64 (E.f64) (*.f64 1/2 x)))
(*.f64 (pow.f64 1 1/3) (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 (E.f64) (+.f64 1 x)) (E.f64))
(/.f64 (exp.f64 (+.f64 1 x)) (E.f64))
(pow.f64 (exp.f64 x) 1)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (E.f64) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1))
(pow.f64 (exp.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))

simplify123.0ms (1.8%)

Algorithm
egg-herbie
Rules
1742×fma-def
1086×unswap-sqr
866×associate-*r/
652×sqr-pow
590×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03173962
17443563
224543435
Stop Event
node limit
Counts
121 → 158
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.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)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 1 (expm1.f64 x))
(+.f64 0 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(-.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (exp.f64 x) 1)
(*.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 x))) (pow.f64 (E.f64) (*.f64 1/3 x)))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 x)) (pow.f64 (E.f64) (*.f64 1/2 x)))
(*.f64 (pow.f64 1 1/3) (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 (E.f64) (+.f64 1 x)) (E.f64))
(/.f64 (exp.f64 (+.f64 1 x)) (E.f64))
(pow.f64 (exp.f64 x) 1)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (E.f64) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1))
(pow.f64 (exp.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 2) (fma.f64 (pow.f64 x 3) 1/6 x)))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -2)
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2)))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) -1/2)) (/.f64 1 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (/.f64 1 (pow.f64 (exp.f64 x) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.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)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -2)
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(+.f64 0 (exp.f64 x))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(-.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (exp.f64 x) 1)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 1 (exp.f64 x))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 x))) (pow.f64 (E.f64) (*.f64 1/3 x)))
(*.f64 (pow.f64 (E.f64) (*.f64 2/3 x)) (pow.f64 (E.f64) (*.f64 x 1/3)))
(*.f64 (pow.f64 (E.f64) (*.f64 x 2/3)) (pow.f64 (E.f64) (*.f64 x 1/3)))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 x)) (pow.f64 (E.f64) (*.f64 1/2 x)))
(pow.f64 (E.f64) (*.f64 2 (*.f64 x 1/2)))
(pow.f64 (E.f64) (*.f64 1 x))
(pow.f64 (E.f64) x)
(*.f64 (pow.f64 1 1/3) (exp.f64 x))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)) (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 8)) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)) (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 8)) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 (E.f64) (+.f64 1 x)) (E.f64))
(/.f64 (exp.f64 (+.f64 1 x)) (E.f64))
(exp.f64 (-.f64 (+.f64 1 x) 1))
(exp.f64 (+.f64 x 0))
(pow.f64 (exp.f64 x) 1)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/2)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (E.f64) x)
(pow.f64 (E.f64) (*.f64 2 (*.f64 x 1/2)))
(pow.f64 (E.f64) (*.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (exp.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(log.f64 (exp.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(expm1.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(log1p.f64 (expm1.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)

eval73.0ms (1.1%)

Compiler

Compiled 1912 to 886 computations (53.7% saved)

prune26.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1535158
Fresh000
Picked011
Done000
Total1536159
Accuracy
100.0%
Counts
159 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 (exp.f64 (+.f64 1 x)) (E.f64)) (expm1.f64 x))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
38.6%
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
65.9%
(/.f64 1 x)
66.0%
(+.f64 (/.f64 1 x) 1/2)
66.2%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
Compiler

Compiled 82 to 66 computations (19.5% saved)

localize239.0ms (3.6%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
40.3%
(-.f64 1 (exp.f64 (neg.f64 x)))
100.0%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
100.0%
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
99.5%
(*.f64 1/12 x)
100.0%
(+.f64 (/.f64 1 x) 1/2)
100.0%
(exp.f64 (+.f64 1 x))
100.0%
(/.f64 (/.f64 (exp.f64 (+.f64 1 x)) (E.f64)) (expm1.f64 x))
100.0%
(/.f64 (exp.f64 (+.f64 1 x)) (E.f64))
Compiler

Compiled 90 to 58 computations (35.6% saved)

series10.0ms (0.1%)

Counts
9 → 65
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (/.f64 (exp.f64 (+.f64 1 x)) (E.f64)) (expm1.f64 x))
1.0ms
x
@0
(/.f64 (/.f64 (exp.f64 (+.f64 1 x)) (E.f64)) (expm1.f64 x))
1.0ms
x
@inf
(/.f64 (/.f64 (exp.f64 (+.f64 1 x)) (E.f64)) (expm1.f64 x))
1.0ms
x
@inf
(/.f64 (exp.f64 (+.f64 1 x)) (E.f64))
1.0ms
x
@0
(/.f64 (exp.f64 (+.f64 1 x)) (E.f64))

rewrite242.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
717×log1p-expm1-u
622×expm1-udef
620×log1p-udef
236×associate-*r*
185×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024187
1407151
26133151
Stop Event
node limit
Counts
9 → 303
Calls
Call 1
Inputs
(/.f64 (exp.f64 (+.f64 1 x)) (E.f64))
(/.f64 (/.f64 (exp.f64 (+.f64 1 x)) (E.f64)) (expm1.f64 x))
(exp.f64 (+.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(*.f64 1/12 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
Outputs
(-.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 1 (exp.f64 x))
(*.f64 (exp.f64 (+.f64 1 x)) (exp.f64 -1))
(*.f64 (E.f64) (/.f64 1 (exp.f64 (+.f64 1 x))))
(*.f64 (E.f64) (*.f64 (exp.f64 x) (exp.f64 -1)))
(*.f64 (exp.f64 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (exp.f64 -1)))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (exp.f64 -1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 (+.f64 1 x))) (/.f64 1 (neg.f64 (E.f64))))
(*.f64 (exp.f64 -1) (exp.f64 (+.f64 1 x)))
(*.f64 (exp.f64 -1) (/.f64 (E.f64) (exp.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2)) (/.f64 (E.f64) (cbrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (+.f64 1 x)))) (/.f64 (E.f64) (sqrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) 1) (/.f64 (cbrt.f64 (E.f64)) (exp.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (E.f64)) (/.f64 (cbrt.f64 (E.f64)) (exp.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2)) (/.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (sqrt.f64 (exp.f64 (+.f64 1 x)))) (/.f64 (cbrt.f64 (E.f64)) (sqrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) 1) (/.f64 (sqrt.f64 (E.f64)) (exp.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) (E.f64)) (/.f64 (sqrt.f64 (E.f64)) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2)) (/.f64 (sqrt.f64 (E.f64)) (cbrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (exp.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 2))) (/.f64 (exp.f64 (+.f64 1 x)) (cbrt.f64 (E.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (E.f64))) (/.f64 (exp.f64 (+.f64 1 x)) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (E.f64) 1) (/.f64 (exp.f64 x) (E.f64)))
(*.f64 (/.f64 (E.f64) (cbrt.f64 (exp.f64 2))) (/.f64 (exp.f64 x) (cbrt.f64 (E.f64))))
(*.f64 (/.f64 (E.f64) (sqrt.f64 (E.f64))) (/.f64 (exp.f64 x) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (E.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2) (cbrt.f64 (exp.f64 2))) (cbrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2) (sqrt.f64 (E.f64))) (/.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) 1) (/.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (E.f64)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (cbrt.f64 (exp.f64 2))) (/.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (cbrt.f64 (E.f64))))
(pow.f64 (E.f64) x)
(pow.f64 (exp.f64 x) 1)
(pow.f64 (exp.f64 x) -1)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (exp.f64 -1) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 (/.f64 (exp.f64 (+.f64 1 x)) (neg.f64 (E.f64))))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 (+.f64 1 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 1 x)) 3) (pow.f64 (E.f64) 3)))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 x)
(exp.f64 (-.f64 1 (+.f64 1 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 (+.f64 1 x)) (/.f64 1 (*.f64 (E.f64) (expm1.f64 x))))
(*.f64 (exp.f64 (+.f64 1 x)) (*.f64 (exp.f64 -1) (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 (E.f64) (expm1.f64 x)) (/.f64 (exp.f64 x) (E.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2) (expm1.f64 x)) (/.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (E.f64)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (expm1.f64 x)) (/.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (E.f64)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (exp.f64 (+.f64 1 x)) 1) (/.f64 (exp.f64 -1) (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 -1) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (exp.f64 (+.f64 1 x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 -1) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(pow.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) -1)
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 1 x)))) 1)
(*.f64 1 (exp.f64 (+.f64 1 x)))
(*.f64 (exp.f64 (+.f64 1 x)) 1)
(*.f64 (E.f64) (exp.f64 x))
(*.f64 (exp.f64 x) (E.f64))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2) (cbrt.f64 (exp.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (cbrt.f64 (E.f64)) (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (sqrt.f64 (exp.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (E.f64)) (*.f64 (sqrt.f64 (E.f64)) (exp.f64 x)))
(pow.f64 (exp.f64 (+.f64 1 x)) 1)
(pow.f64 (E.f64) (+.f64 1 x))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) 1/2))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) -1/2)) (/.f64 1/4 (+.f64 (/.f64 1 x) -1/2)))
(*.f64 1 (+.f64 (/.f64 1 x) 1/2))
(*.f64 (+.f64 (/.f64 1 x) 1/2) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)) (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) 1/4) (/.f64 1/2 x))))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) 1/4) (/.f64 1/2 x)) (+.f64 (pow.f64 x -3) 1/8)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) -1/2) (+.f64 (pow.f64 x -2) -1/4)))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (-.f64 (+.f64 (pow.f64 x -2) 1/4) (/.f64 1/2 x)))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) 1/8)) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) 1/4) (/.f64 1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1/4)) (neg.f64 (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 1/2 (/.f64 1 x)))
(pow.f64 (+.f64 (/.f64 1 x) 1/2) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) 1/2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) 1/2)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) 1/2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) 1/2)))
(fma.f64 1 (/.f64 1 x) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) 1/2)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (pow.f64 (*.f64 x 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (*.f64 x 1/12) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 x 1/12 (/.f64 1 x))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 1 (fma.f64 x 1/12 (/.f64 1 x)))
(*.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x 1/12) 3) (pow.f64 x -3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x))) (+.f64 (pow.f64 (*.f64 x 1/12) 3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (/.f64 1 x)) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (fma.f64 x 1/12 (/.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/12) 3) (pow.f64 x -3)) (+.f64 (*.f64 (pow.f64 x 2) 1/144) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/12) 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/12) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 3) (pow.f64 x -3)) (+.f64 (*.f64 (pow.f64 x 2) 1/144) (+.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (neg.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (*.f64 x 1/12)))
(pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/12) x) (exp.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 1 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 1 (*.f64 x 1/12) (neg.f64 (/.f64 1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 x 1/12 (neg.f64 (/.f64 1 x)))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 1/12 x (neg.f64 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 (*.f64 x 1/12)) (sqrt.f64 (*.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 x 1/12)) (sqrt.f64 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 1 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/8) (/.f64 1 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2)))))
(*.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/8)))
(/.f64 1 (/.f64 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/8) (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/8) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/8)) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2)))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (neg.f64 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1/2 (*.f64 x 1/12)) 3) (pow.f64 x -3)) (+.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (-.f64 (pow.f64 x -2) (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) 1/4) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 1/2)
(+.f64 1 (neg.f64 (exp.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (exp.f64 x)) 1))
(+.f64 (neg.f64 (exp.f64 x)) 1)
(*.f64 1 (-.f64 1 (exp.f64 x)))
(*.f64 (-.f64 1 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (exp.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (pow.f64 (-.f64 1 (exp.f64 x)) -1/2))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 x))) -1)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))) (-.f64 1 (neg.f64 (exp.f64 x))))
(pow.f64 (-.f64 1 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) (pow.f64 (-.f64 1 (exp.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 1 (exp.f64 x)))
(pow.f64 (-.f64 1 (exp.f64 x)) -1)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))

simplify208.0ms (3.1%)

Algorithm
egg-herbie
Rules
1150×fma-neg
824×associate-*r*
714×associate-*l*
664×associate-/l*
398×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073315575
117439243
274989237
Stop Event
node limit
Counts
368 → 450
Calls
Call 1
Inputs
(/.f64 (exp.f64 1) (E.f64))
(+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (*.f64 x (exp.f64 1)) (E.f64)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (E.f64))) (+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (*.f64 x (exp.f64 1)) (E.f64))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 x 3) (exp.f64 1)) (E.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (E.f64))) (+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (*.f64 x (exp.f64 1)) (E.f64)))))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (E.f64))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (E.f64))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (E.f64))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (E.f64))
(/.f64 (exp.f64 1) (*.f64 x (E.f64)))
(-.f64 (+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (exp.f64 1) (*.f64 x (E.f64)))) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))))
(-.f64 (+.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 1) (E.f64))) (*.f64 1/2 (-.f64 (/.f64 (exp.f64 1) (E.f64)) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64)))))))) (+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (exp.f64 1) (*.f64 x (E.f64))))) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))))
(-.f64 (+.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 1) (E.f64))) (*.f64 1/2 (-.f64 (/.f64 (exp.f64 1) (E.f64)) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64)))))))) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/6 (/.f64 (exp.f64 1) (E.f64))) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 1) (E.f64))) (+.f64 (*.f64 1/6 (-.f64 (/.f64 (exp.f64 1) (E.f64)) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))))) (*.f64 1/2 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 1) (E.f64))) (*.f64 1/2 (-.f64 (/.f64 (exp.f64 1) (E.f64)) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64)))))))))))) (+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (exp.f64 1) (*.f64 x (E.f64)))))) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(exp.f64 1)
(+.f64 (exp.f64 1) (*.f64 x (exp.f64 1)))
(+.f64 (exp.f64 1) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 1))) (*.f64 x (exp.f64 1))))
(+.f64 (exp.f64 1) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 1))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 1))) (*.f64 x (exp.f64 1)))))
(exp.f64 (-.f64 1 (*.f64 -1 x)))
(exp.f64 (-.f64 1 (*.f64 -1 x)))
(exp.f64 (-.f64 1 (*.f64 -1 x)))
(exp.f64 (-.f64 1 (*.f64 -1 x)))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
1/2
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
1/2
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3)))))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(/.f64 1 (-.f64 1 (exp.f64 (*.f64 -1 x))))
(-.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 1 (exp.f64 x))
(*.f64 (exp.f64 (+.f64 1 x)) (exp.f64 -1))
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(fma.f64 1/12 x (neg.f64 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 (*.f64 x 1/12)) (sqrt.f64 (*.f64 x 1/12)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 x 1/12)) (sqrt.f64 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 1 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/8) (/.f64 1 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2)))))
(*.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/8)))
(/.f64 1 (/.f64 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/8) (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/8) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) 1/8)) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2)))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (neg.f64 (-.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1/2 (*.f64 x 1/12)) 3) (pow.f64 x -3)) (+.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (-.f64 (pow.f64 x -2) (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) 1/4) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) 1/2))
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 1/2)
(+.f64 1 (neg.f64 (exp.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (exp.f64 x)) 1))
(+.f64 (neg.f64 (exp.f64 x)) 1)
(*.f64 1 (-.f64 1 (exp.f64 x)))
(*.f64 (-.f64 1 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (exp.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (pow.f64 (-.f64 1 (exp.f64 x)) -1/2))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 x))) -1)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))) (-.f64 1 (neg.f64 (exp.f64 x))))
(pow.f64 (-.f64 1 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) (pow.f64 (-.f64 1 (exp.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 1 (exp.f64 x)))
(pow.f64 (-.f64 1 (exp.f64 x)) -1)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
Outputs
(/.f64 (exp.f64 1) (E.f64))
(/.f64 (E.f64) (E.f64))
1
(+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (*.f64 x (exp.f64 1)) (E.f64)))
(+.f64 (/.f64 (E.f64) (E.f64)) (/.f64 x (/.f64 (E.f64) (E.f64))))
(+.f64 1 (/.f64 x 1))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (E.f64))) (+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (*.f64 x (exp.f64 1)) (E.f64))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (/.f64 (E.f64) (E.f64))) (+.f64 (/.f64 (E.f64) (E.f64)) (/.f64 x (/.f64 (E.f64) (E.f64)))))
(+.f64 (/.f64 x 1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) 1) 1))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 x 3) (exp.f64 1)) (E.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (E.f64))) (+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (*.f64 x (exp.f64 1)) (E.f64)))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (E.f64) (E.f64))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (/.f64 (E.f64) (E.f64))) (+.f64 (/.f64 (E.f64) (E.f64)) (/.f64 x (/.f64 (E.f64) (E.f64))))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) 1) (+.f64 (/.f64 x 1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) 1) 1)))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (E.f64))
(/.f64 (exp.f64 (-.f64 1 (neg.f64 x))) (E.f64))
(exp.f64 x)
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (E.f64))
(/.f64 (exp.f64 (-.f64 1 (neg.f64 x))) (E.f64))
(exp.f64 x)
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (E.f64))
(/.f64 (exp.f64 (-.f64 1 (neg.f64 x))) (E.f64))
(exp.f64 x)
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (E.f64))
(/.f64 (exp.f64 (-.f64 1 (neg.f64 x))) (E.f64))
(exp.f64 x)
(/.f64 (exp.f64 1) (*.f64 x (E.f64)))
(/.f64 (E.f64) (*.f64 (E.f64) x))
(/.f64 1 x)
(-.f64 (+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (exp.f64 1) (*.f64 x (E.f64)))) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))))
(+.f64 (/.f64 (E.f64) (E.f64)) (-.f64 (/.f64 (E.f64) (*.f64 (E.f64) x)) (*.f64 (/.f64 (E.f64) (E.f64)) 1/2)))
(+.f64 1/2 (/.f64 1 x))
(-.f64 (+.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 1) (E.f64))) (*.f64 1/2 (-.f64 (/.f64 (exp.f64 1) (E.f64)) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64)))))))) (+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (exp.f64 1) (*.f64 x (E.f64))))) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))))
(+.f64 (fma.f64 x (-.f64 (*.f64 (/.f64 (E.f64) (E.f64)) 1/2) (fma.f64 1/6 (/.f64 (E.f64) (E.f64)) (*.f64 1/2 (+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 -1/2 (/.f64 (E.f64) (E.f64))))))) (+.f64 (/.f64 (E.f64) (E.f64)) (/.f64 (E.f64) (*.f64 (E.f64) x)))) (*.f64 -1/2 (/.f64 (E.f64) (E.f64))))
(fma.f64 x 1/12 (+.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 x (-.f64 (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 1) (E.f64))) (*.f64 1/2 (-.f64 (/.f64 (exp.f64 1) (E.f64)) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64)))))))) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/6 (/.f64 (exp.f64 1) (E.f64))) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 1) (E.f64))) (+.f64 (*.f64 1/6 (-.f64 (/.f64 (exp.f64 1) (E.f64)) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))))) (*.f64 1/2 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 1) (E.f64))) (*.f64 1/2 (-.f64 (/.f64 (exp.f64 1) (E.f64)) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64)))))))))))) (+.f64 (/.f64 (exp.f64 1) (E.f64)) (/.f64 (exp.f64 1) (*.f64 x (E.f64)))))) (*.f64 1/2 (/.f64 (exp.f64 1) (E.f64))))
(+.f64 (fma.f64 x (-.f64 (*.f64 (/.f64 (E.f64) (E.f64)) 1/2) (fma.f64 1/6 (/.f64 (E.f64) (E.f64)) (*.f64 1/2 (+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 -1/2 (/.f64 (E.f64) (E.f64))))))) (fma.f64 (pow.f64 x 2) (-.f64 (*.f64 (/.f64 (E.f64) (E.f64)) 1/6) (fma.f64 1/24 (/.f64 (E.f64) (E.f64)) (fma.f64 1/6 (+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 -1/2 (/.f64 (E.f64) (E.f64)))) (*.f64 1/2 (-.f64 (*.f64 (/.f64 (E.f64) (E.f64)) 1/2) (fma.f64 1/6 (/.f64 (E.f64) (E.f64)) (*.f64 1/2 (+.f64 (/.f64 (E.f64) (E.f64)) (*.f64 -1/2 (/.f64 (E.f64) (E.f64))))))))))) (+.f64 (/.f64 (E.f64) (E.f64)) (/.f64 (E.f64) (*.f64 (E.f64) x))))) (*.f64 -1/2 (/.f64 (E.f64) (E.f64))))
(+.f64 (fma.f64 x 1/12 (*.f64 (pow.f64 x 2) 0)) (+.f64 1/2 (/.f64 1 x)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))) (*.f64 (E.f64) (-.f64 (exp.f64 x) 1)))
(/.f64 (exp.f64 (+.f64 1 x)) (*.f64 (E.f64) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 1)
(E.f64)
(+.f64 (exp.f64 1) (*.f64 x (exp.f64 1)))
(*.f64 (+.f64 1 x) (E.f64))
(fma.f64 (E.f64) x (E.f64))
(+.f64 (exp.f64 1) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 1))) (*.f64 x (exp.f64 1))))
(+.f64 (E.f64) (fma.f64 1/2 (*.f64 (E.f64) (pow.f64 x 2)) (*.f64 (E.f64) x)))
(+.f64 (E.f64) (*.f64 (E.f64) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 -1 (neg.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (-.f64 -1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 -1 (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 x) 2) (-.f64 -1 (exp.f64 x))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))) (-.f64 1 (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(pow.f64 (-.f64 1 (exp.f64 x)) 1)
(-.f64 1 (exp.f64 x))
(neg.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 3)
(-.f64 1 (exp.f64 x))
(neg.f64 (expm1.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) 3) 1/3)
(-.f64 1 (exp.f64 x))
(neg.f64 (expm1.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) 2)
(-.f64 1 (exp.f64 x))
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) 2))
(fabs.f64 (neg.f64 (expm1.f64 x)))
(log.f64 (exp.f64 (-.f64 1 (exp.f64 x))))
(-.f64 1 (exp.f64 x))
(neg.f64 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 1 (exp.f64 x))
(neg.f64 (expm1.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) 3))
(-.f64 1 (exp.f64 x))
(neg.f64 (expm1.f64 x))
(expm1.f64 (log1p.f64 (-.f64 1 (exp.f64 x))))
(-.f64 1 (exp.f64 x))
(neg.f64 (expm1.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 x))) 1))
(exp.f64 (log1p.f64 (neg.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (exp.f64 x))))
(-.f64 1 (exp.f64 x))
(neg.f64 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 1)
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 1 (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -2)) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -2)) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) (pow.f64 (-.f64 1 (exp.f64 x)) -1/2))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) -1))
(pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) -2)
(pow.f64 (sqrt.f64 (neg.f64 (expm1.f64 x))) -2)
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (-.f64 -1 (exp.f64 x))) (-.f64 1 (pow.f64 (exp.f64 x) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(pow.f64 (-.f64 1 (exp.f64 x)) -1)
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) 3)
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 3) 1/3)
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) 2)
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))
(fabs.f64 (/.f64 -1 (expm1.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 3))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 x))) -1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))) 1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (expm1.f64 x))

eval138.0ms (2.1%)

Compiler

Compiled 6229 to 4288 computations (31.2% saved)

prune60.0ms (0.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New4473450
Fresh000
Picked145
Done011
Total4488456
Accuracy
100.0%
Counts
456 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.0%
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
65.6%
(/.f64 (E.f64) (*.f64 (E.f64) x))
38.6%
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
65.9%
(/.f64 1 x)
66.0%
(+.f64 (/.f64 1 x) 1/2)
66.2%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
3.2%
1/2
Compiler

Compiled 68 to 54 computations (20.6% saved)

localize751.0ms (11.1%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2))
99.9%
(*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12)))
99.5%
(*.f64 x 1/12)
56.0%
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
99.4%
(*.f64 (E.f64) x)
99.4%
(/.f64 (E.f64) (*.f64 (E.f64) x))
Compiler

Compiled 92 to 68 computations (26.1% saved)

series6.0ms (0.1%)

Counts
6 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (E.f64) x)
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
0.0ms
x
@0
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
0.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
0.0ms
x
@inf
(*.f64 (E.f64) x)

rewrite218.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1142×log1p-expm1-u
498×expm1-udef
498×log1p-udef
265×expm1-log1p-u
220×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020174
1327110
25111110
Stop Event
node limit
Counts
6 → 186
Calls
Call 1
Inputs
(/.f64 (E.f64) (*.f64 (E.f64) x))
(*.f64 (E.f64) x)
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(*.f64 x 1/12)
(*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12)))
(-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 (E.f64) (/.f64 (/.f64 1 (E.f64)) x))
(*.f64 1 (/.f64 1 x))
(*.f64 (/.f64 1 x) 1)
(*.f64 -1 (/.f64 -1 x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (cbrt.f64 (E.f64)) (/.f64 (/.f64 1 (E.f64)) x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (sqrt.f64 (E.f64)) (*.f64 (sqrt.f64 (E.f64)) (/.f64 (/.f64 1 (E.f64)) x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))
(*.f64 (neg.f64 (E.f64)) (/.f64 1 (*.f64 (E.f64) (neg.f64 x))))
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1))
(*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (E.f64) x)) 2)) (/.f64 (E.f64) (cbrt.f64 (*.f64 (E.f64) x))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (E.f64) x))) (/.f64 (E.f64) (sqrt.f64 (*.f64 (E.f64) x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (E.f64)) (/.f64 (cbrt.f64 (E.f64)) x))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) x) (/.f64 (cbrt.f64 (E.f64)) (E.f64)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) 1) (/.f64 (cbrt.f64 (E.f64)) (*.f64 (E.f64) x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (pow.f64 (cbrt.f64 (*.f64 (E.f64) x)) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (sqrt.f64 (*.f64 (E.f64) x))) (/.f64 (cbrt.f64 (E.f64)) (sqrt.f64 (*.f64 (E.f64) x))))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) (E.f64)) (/.f64 (sqrt.f64 (E.f64)) x))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) x) (/.f64 (sqrt.f64 (E.f64)) (E.f64)))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) 1) (/.f64 (sqrt.f64 (E.f64)) (*.f64 (E.f64) x)))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) (pow.f64 (cbrt.f64 (*.f64 (E.f64) x)) 2)) (/.f64 (sqrt.f64 (E.f64)) (cbrt.f64 (*.f64 (E.f64) x))))
(pow.f64 x -1)
(pow.f64 (pow.f64 x -2) 1/2)
(pow.f64 (/.f64 1 x) 1)
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 x -3) 1/3)
(pow.f64 (pow.f64 x -1/2) 2)
(neg.f64 (/.f64 (E.f64) (*.f64 (E.f64) (neg.f64 x))))
(sqrt.f64 (pow.f64 x -2))
(fabs.f64 (/.f64 1 x))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 x -3))
(cbrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (*.f64 (E.f64) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (E.f64) x))) 1)
(pow.f64 (*.f64 (E.f64) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (E.f64) x)) 3)
(pow.f64 (pow.f64 (*.f64 (E.f64) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (E.f64) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (E.f64) x) 2))
(log.f64 (pow.f64 (exp.f64 (E.f64)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (E.f64) x))))
(cbrt.f64 (pow.f64 (*.f64 (E.f64) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (E.f64) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (E.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (E.f64) x)))
(exp.f64 (+.f64 1 (log.f64 x)))
(exp.f64 (*.f64 (+.f64 1 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (E.f64) x)))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
(+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 (/.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))) (neg.f64 (/.f64 (pow.f64 x -2) (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)))) 1)
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (/.f64 1 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))))
(*.f64 1 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)))
(*.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))) 2) (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (/.f64 1 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))) (sqrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (/.f64 1 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (/.f64 1 (+.f64 -1/2 (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))))))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))) 2)) (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))) (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (sqrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))) 2)) (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2) (sqrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (sqrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3))) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x))))
(pow.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))) 2)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (+.f64 -1/2 (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))))))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x 1/12 1/2)) (exp.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 3) (pow.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)) 3)))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))))
(fma.f64 1 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2)) (cbrt.f64 (fma.f64 x 1/12 1/2)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(+.f64 (+.f64 1/4 (*.f64 1/24 x)) (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))))
(+.f64 (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))) (+.f64 1/4 (*.f64 1/24 x)))
(+.f64 (*.f64 (+.f64 1/4 (*.f64 1/24 x)) 1) (*.f64 (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2))) 1)
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144))) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) (+.f64 1/2 (*.f64 -1/12 x))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/8) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/8)) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/8) (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144))) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) (+.f64 1/2 (*.f64 -1/12 x))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/8)) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1/4 (*.f64 1/24 x)) 3) (pow.f64 (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))) 3)) (+.f64 (*.f64 (+.f64 1/4 (*.f64 1/24 x)) (+.f64 1/4 (*.f64 1/24 x))) (-.f64 (*.f64 (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))) (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2)))) (*.f64 (+.f64 1/4 (*.f64 1/24 x)) (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2)))))))
(/.f64 (-.f64 (*.f64 (+.f64 1/4 (*.f64 1/24 x)) (+.f64 1/4 (*.f64 1/24 x))) (*.f64 (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))) (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))))) (-.f64 (+.f64 1/4 (*.f64 1/24 x)) (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2)))))
(/.f64 (*.f64 (fma.f64 x 1/12 1/2) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/8)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))))
(/.f64 (*.f64 (fma.f64 x 1/12 1/2) (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144))) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/8) (fma.f64 x 1/12 1/2)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (fma.f64 x 1/12 1/2)) (+.f64 1/2 (*.f64 -1/12 x)))
(pow.f64 (fma.f64 x 1/12 1/2) 2)
(pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2)))
(exp.f64 (*.f64 2 (log.f64 (fma.f64 x 1/12 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 1/2)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 x 1/12 1/2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2)))
(fma.f64 1/2 (fma.f64 x 1/12 1/2) (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))))
(fma.f64 (fma.f64 x 1/12 1/2) 1/2 (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))))
(+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2)))
(+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (*.f64 (neg.f64 (pow.f64 x -2)) 1))
(+.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (pow.f64 x -2)))
(+.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (fma.f64 (/.f64 -1 x) (/.f64 1 x) (pow.f64 x -2)))
(+.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)) (pow.f64 x -2)))
(+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 (fma.f64 x 1/12 1/2) 2))
(+.f64 (+.f64 1/4 (*.f64 1/24 x)) (+.f64 (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))) (neg.f64 (pow.f64 x -2))))
(+.f64 (+.f64 1/4 (*.f64 1/24 x)) (-.f64 (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))) (pow.f64 x -2)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 1)
(*.f64 1 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))
(*.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 x -6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 x -6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 x -6)) (+.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 x -6))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2))))
(pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(fma.f64 (fma.f64 x 1/12 1/2) (fma.f64 x 1/12 1/2) (neg.f64 (pow.f64 x -2)))
(fma.f64 1 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4)) (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2)) (neg.f64 (pow.f64 x -2)))

simplify135.0ms (2%)

Algorithm
egg-herbie
Rules
1072×fma-neg
912×div-sub
470×associate-*r*
452×fma-def
428×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04688559
112147975
251447959
Stop Event
node limit
Counts
258 → 272
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
1/4
(+.f64 1/4 (*.f64 1/12 x))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 1/4 (/.f64 1 (pow.f64 x 2)))
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(+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 (fma.f64 x 1/12 1/2) 2))
(+.f64 (+.f64 1/4 (*.f64 1/24 x)) (+.f64 (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))) (neg.f64 (pow.f64 x -2))))
(+.f64 (+.f64 1/4 (*.f64 1/24 x)) (-.f64 (*.f64 x (*.f64 1/12 (fma.f64 x 1/12 1/2))) (pow.f64 x -2)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 1)
(*.f64 1 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))
(*.f64 (+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 x -6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 x -6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 x -6)) (+.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 x -6))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2))))
(pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(fma.f64 (fma.f64 x 1/12 1/2) (fma.f64 x 1/12 1/2) (neg.f64 (pow.f64 x -2)))
(fma.f64 1 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4)) (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2)) (neg.f64 (pow.f64 x -2)))
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(*.f64 x (E.f64))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 x 1/12 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 x 1/12 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
1/4
(+.f64 1/4 (*.f64 1/12 x))
(+.f64 1/4 (*.f64 x 1/12))
(fma.f64 x 1/12 1/4)
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x))
(fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x))
(fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (pow.f64 x -2))
(-.f64 1/4 (/.f64 1 (pow.f64 x 2)))
(-.f64 1/4 (pow.f64 x -2))
(-.f64 (+.f64 1/4 (*.f64 1/12 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 1/4 (-.f64 (*.f64 x 1/12) (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))
(-.f64 (+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x))) (/.f64 1 (pow.f64 x 2)))
(+.f64 1/4 (-.f64 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)) (/.f64 1 (pow.f64 x 2))))
(+.f64 1/4 (-.f64 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)) (pow.f64 x -2)))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x))
(fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)))
(-.f64 (+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x))) (/.f64 1 (pow.f64 x 2)))
(+.f64 1/4 (-.f64 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)) (/.f64 1 (pow.f64 x 2))))
(+.f64 1/4 (-.f64 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)) (pow.f64 x -2)))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x))
(fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12))
(+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x)))
(+.f64 1/4 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)))
(-.f64 (+.f64 1/4 (+.f64 (*.f64 1/144 (pow.f64 x 2)) (*.f64 1/12 x))) (/.f64 1 (pow.f64 x 2)))
(+.f64 1/4 (-.f64 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)) (/.f64 1 (pow.f64 x 2))))
(+.f64 1/4 (-.f64 (fma.f64 1/144 (pow.f64 x 2) (*.f64 x 1/12)) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(/.f64 1 x)
(*.f64 (E.f64) (/.f64 (/.f64 1 (E.f64)) x))
(/.f64 1 x)
(*.f64 1 (/.f64 1 x))
(/.f64 1 x)
(*.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(*.f64 -1 (/.f64 -1 x))
(/.f64 1 x)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (cbrt.f64 (E.f64)) (/.f64 (/.f64 1 (E.f64)) x)))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 2)) (cbrt.f64 (E.f64))) (/.f64 1 (*.f64 x (E.f64))))
(*.f64 (/.f64 (exp.f64 -1) x) (*.f64 (cbrt.f64 (exp.f64 2)) (cbrt.f64 (E.f64))))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))
(*.f64 (sqrt.f64 (E.f64)) (*.f64 (sqrt.f64 (E.f64)) (/.f64 (/.f64 1 (E.f64)) x)))
(/.f64 1 x)
(*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))
(/.f64 1 x)
(*.f64 (neg.f64 (E.f64)) (/.f64 1 (*.f64 (E.f64) (neg.f64 x))))
(/.f64 1 x)
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
(/.f64 1 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1))
(pow.f64 (sqrt.f64 x) -2)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
(/.f64 1 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (E.f64) x)) 2)) (/.f64 (E.f64) (cbrt.f64 (*.f64 (E.f64) x))))
(/.f64 1 x)
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (E.f64) x))) (/.f64 (E.f64) (sqrt.f64 (*.f64 (E.f64) x))))
(/.f64 1 x)
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (E.f64)) (/.f64 (cbrt.f64 (E.f64)) x))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 2)) (cbrt.f64 (E.f64))) (*.f64 x (E.f64)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) x) (/.f64 (cbrt.f64 (E.f64)) (E.f64)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (E.f64)) (/.f64 (cbrt.f64 (E.f64)) x))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 2)) (cbrt.f64 (E.f64))) (*.f64 x (E.f64)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) 1) (/.f64 (cbrt.f64 (E.f64)) (*.f64 (E.f64) x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (E.f64)) (/.f64 (cbrt.f64 (E.f64)) x))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 2)) (cbrt.f64 (E.f64))) (*.f64 x (E.f64)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (pow.f64 (cbrt.f64 (*.f64 (E.f64) x)) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 2)) (/.f64 1 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (E.f64))) 2))
(/.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (pow.f64 (cbrt.f64 (*.f64 x (E.f64))) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (sqrt.f64 (*.f64 (E.f64) x))) (/.f64 (cbrt.f64 (E.f64)) (sqrt.f64 (*.f64 (E.f64) x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 2)) (E.f64)) (/.f64 (cbrt.f64 (E.f64)) x))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 2)) (cbrt.f64 (E.f64))) (*.f64 x (E.f64)))
(*.f64 (/.f64 (sqrt.f64 (E.f64)) (E.f64)) (/.f64 (sqrt.f64 (E.f64)) x))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 (E.f64)) x) (/.f64 (sqrt.f64 (E.f64)) (E.f64)))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 (E.f64)) 1) (/.f64 (sqrt.f64 (E.f64)) (*.f64 (E.f64) x)))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 (E.f64)) (pow.f64 (cbrt.f64 (*.f64 (E.f64) x)) 2)) (/.f64 (sqrt.f64 (E.f64)) (cbrt.f64 (*.f64 (E.f64) x))))
(/.f64 1 x)
(pow.f64 x -1)
(/.f64 1 x)
(pow.f64 (pow.f64 x -2) 1/2)
(/.f64 1 x)
(pow.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3)
(/.f64 1 x)
(pow.f64 (pow.f64 x -3) 1/3)
(cbrt.f64 (pow.f64 x -3))
(pow.f64 (pow.f64 x -1/2) 2)
(/.f64 1 x)
(neg.f64 (/.f64 (E.f64) (*.f64 (E.f64) (neg.f64 x))))
(/.f64 1 x)
(sqrt.f64 (pow.f64 x -2))
(/.f64 1 x)
(fabs.f64 (/.f64 1 x))
(/.f64 1 x)
(log.f64 (exp.f64 (/.f64 1 x)))
(/.f64 1 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(/.f64 1 x)
(cbrt.f64 (pow.f64 x -3))
(cbrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (*.f64 (E.f64) x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (*.f64 x (E.f64)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(/.f64 1 x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 1 x)
(exp.f64 (*.f64 (log.f64 x) -1))
(/.f64 1 x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(/.f64 1 x)
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(/.f64 1 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (E.f64) x))) 1)
(*.f64 x (E.f64))
(pow.f64 (*.f64 (E.f64) x) 1)
(*.f64 x (E.f64))
(pow.f64 (cbrt.f64 (*.f64 (E.f64) x)) 3)
(*.f64 x (E.f64))
(pow.f64 (pow.f64 (*.f64 (E.f64) x) 3) 1/3)
(*.f64 x (E.f64))
(pow.f64 (sqrt.f64 (*.f64 (E.f64) x)) 2)
(*.f64 x (E.f64))
(sqrt.f64 (pow.f64 (*.f64 (E.f64) x) 2))
(*.f64 x (E.f64))
(log.f64 (pow.f64 (exp.f64 (E.f64)) x))
(*.f64 x (E.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (E.f64) x))))
(*.f64 x (E.f64))
(cbrt.f64 (pow.f64 (*.f64 (E.f64) x) 3))
(*.f64 x (E.f64))
(cbrt.f64 (*.f64 (pow.f64 (E.f64) 3) (pow.f64 x 3)))
(*.f64 x (E.f64))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (E.f64) 3)))
(*.f64 x (E.f64))
(expm1.f64 (log1p.f64 (*.f64 (E.f64) x)))
(*.f64 x (E.f64))
(exp.f64 (+.f64 1 (log.f64 x)))
(*.f64 x (E.f64))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4))) (neg.f64 (+.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x 1/12 1/2) 2))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (+.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x 1/12 1/2) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (neg.f64 (pow.f64 (pow.f64 x -2) 3))) (-.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 6) (pow.f64 (pow.f64 x -2) 3)) (fma.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x 1/12 1/2) 2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4) (pow.f64 x -4)) (+.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x 1/12 1/2) 2)))
(pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 1)
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 3)
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 3) 1/3)
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 2)
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 2))
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)))))
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 3))
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(exp.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) 1))
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(fma.f64 (fma.f64 x 1/12 1/2) (fma.f64 x 1/12 1/2) (neg.f64 (pow.f64 x -2)))
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(fma.f64 1 (pow.f64 (fma.f64 x 1/12 1/2) 2) (neg.f64 (pow.f64 x -2)))
(-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4)) (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2)) (neg.f64 (pow.f64 x -2)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2)) (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 4))) (pow.f64 x -2))

eval162.0ms (2.4%)

Compiler

Compiled 6813 to 5398 computations (20.8% saved)

prune43.0ms (0.6%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New2955300
Fresh000
Picked123
Done145
Total29711308
Accuracy
100.0%
Counts
308 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.3%
(/.f64 (-.f64 (+.f64 1/4 (*.f64 x 1/12)) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
39.9%
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
65.6%
(/.f64 (E.f64) (*.f64 (E.f64) x))
38.6%
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
65.9%
(/.f64 1 x)
66.0%
(+.f64 (/.f64 1 x) 1/2)
66.2%
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
65.7%
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
65.7%
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
3.2%
1/2
Compiler

Compiled 156 to 123 computations (21.2% saved)

localize239.0ms (3.5%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x))
100.0%
(-.f64 (+.f64 1/4 (*.f64 x 1/12)) (pow.f64 x -2))
99.5%
(*.f64 x 1/12)
72.8%
(/.f64 (-.f64 (+.f64 1/4 (*.f64 x 1/12)) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
100.0%
(+.f64 1/2 (*.f64 x 1/12))
100.0%
(-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x))
99.5%
(*.f64 x 1/12)
72.7%
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
99.7%
(/.f64 (/.f64 1 (E.f64)) x)
99.4%
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
99.5%
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
99.4%
(/.f64 (E.f64) x)
100.0%
(+.f64 1/2 (/.f64 1 x))
99.9%
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
99.5%
(*.f64 x 1/12)
Compiler

Compiled 171 to 124 computations (27.5% saved)

series6.0ms (0.1%)

Counts
12 → 123
Calls

36 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (/.f64 1 (E.f64)) x)
0.0ms
x
@inf
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
0.0ms
x
@-inf
(/.f64 (/.f64 1 (E.f64)) x)
0.0ms
x
@inf
(/.f64 (-.f64 (+.f64 1/4 (*.f64 x 1/12)) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
0.0ms
x
@-inf
(/.f64 (E.f64) x)

rewrite126.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
348×associate-*r*
268×frac-times
232×log1p-expm1-u
232×expm1-log1p-u
229×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028341
1524289
Stop Event
node limit
Counts
12 → 516
Calls
Call 1
Inputs
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1 x))
(/.f64 (E.f64) x)
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
(/.f64 (/.f64 1 (E.f64)) x)
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x))
(+.f64 1/2 (*.f64 x 1/12))
(/.f64 (-.f64 (+.f64 1/4 (*.f64 x 1/12)) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(-.f64 (+.f64 1/4 (*.f64 x 1/12)) (pow.f64 x -2))
(-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2)) (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2) (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2)))
(*.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 (+.f64 1/2 (/.f64 1 x)) (-.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 (+.f64 1/2 (/.f64 1 x)) (-.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 (+.f64 1/2 (/.f64 1 x)) (-.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2)) (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (+.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728)) x) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) 1)) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) x))
(/.f64 (+.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728)) (neg.f64 x)) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) -1)) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) x) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) 1)) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) x))
(/.f64 (+.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (neg.f64 x)) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) -1)) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 (+.f64 1/2 (/.f64 1 x)) (-.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2))) (neg.f64 (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3) (*.f64 (pow.f64 x 3) 1/1728)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (-.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2) (*.f64 (pow.f64 x 2) 1/144)) (-.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12)))
(pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(fma.f64 x 1/12 (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/12 x (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
(fma.f64 1 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) (*.f64 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2) (cbrt.f64 (fma.f64 x 1/12 1/2)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1 x))) (*.f64 x 1/12))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 x 1/12)) (sqrt.f64 (*.f64 x 1/12)) (+.f64 1/2 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 1 x)))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (+.f64 1/2 (/.f64 -1 x))))
(*.f64 1 (+.f64 1/2 (/.f64 1 x)))
(*.f64 (-.f64 1/4 (pow.f64 x -2)) (/.f64 1 (+.f64 1/2 (/.f64 -1 x))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 (+.f64 1/8 (pow.f64 x -3)) (/.f64 1 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1 x)) (-.f64 1/4 (pow.f64 x -2))))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))) (+.f64 1/8 (pow.f64 x -3))))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (+.f64 1/2 (/.f64 -1 x)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 x -2))) 2) (/.f64 (+.f64 1/2 (/.f64 -1 x)) (cbrt.f64 (-.f64 1/4 (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 x -2))) (/.f64 (+.f64 1/2 (/.f64 -1 x)) (sqrt.f64 (-.f64 1/4 (pow.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 x -2))) (neg.f64 (+.f64 1/2 (/.f64 -1 x))))
(/.f64 (+.f64 1/8 (pow.f64 x -3)) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 x -3))) (neg.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 (pow.f64 x -2) (-.f64 1/4 (*.f64 (/.f64 1 x) 1/2))))
(/.f64 (-.f64 (pow.f64 x -2) 1/4) (-.f64 (/.f64 1 x) 1/2))
(pow.f64 (+.f64 1/2 (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 1 x))))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(*.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3))) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x))))
(*.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))) 2)
(pow.f64 (/.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) -1)
(neg.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 -1/2 (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) 3) (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(+.f64 (*.f64 x 1/12) (-.f64 1/4 (pow.f64 x -2)))
(+.f64 1/4 (-.f64 (*.f64 x 1/12) (pow.f64 x -2)))
(+.f64 1/4 (*.f64 (-.f64 (*.f64 x 1/12) (pow.f64 x -2)) 1))
(+.f64 (fma.f64 x 1/12 1/4) (neg.f64 (pow.f64 x -2)))
(+.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (fma.f64 (/.f64 -1 x) (/.f64 1 x) (pow.f64 x -2)))
(+.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)) (pow.f64 x -2)))
(+.f64 (fma.f64 1 (fma.f64 x 1/12 1/4) (neg.f64 (*.f64 (pow.f64 x -2) 1))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (*.f64 (pow.f64 x -2) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/4)) 2) (cbrt.f64 (fma.f64 x 1/12 1/4)) (neg.f64 (*.f64 (pow.f64 x -2) 1))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (*.f64 (pow.f64 x -2) 1)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 x 1/12 1/4)) (sqrt.f64 (fma.f64 x 1/12 1/4)) (neg.f64 (*.f64 (pow.f64 x -2) 1))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (*.f64 (pow.f64 x -2) 1)))
(+.f64 (*.f64 (fma.f64 x 1/12 1/4) 1) (*.f64 (neg.f64 (pow.f64 x -2)) 1))
(*.f64 1 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) 2) (cbrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) (sqrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 3) (pow.f64 x -6)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (+.f64 (pow.f64 x -4) (*.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (pow.f64 x -4)) (/.f64 1 (+.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/12 1/4)) (/.f64 1 x)) (-.f64 (sqrt.f64 (fma.f64 x 1/12 1/4)) (/.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (+.f64 (pow.f64 x -4) (*.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)))) (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 3) (pow.f64 x -6))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 3) (pow.f64 x -6)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (+.f64 (pow.f64 x -4) (*.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (pow.f64 x -4)) (+.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 3) (pow.f64 x -6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (+.f64 (pow.f64 x -4) (*.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (pow.f64 x -4))) (neg.f64 (+.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(/.f64 (+.f64 1/64 (pow.f64 (-.f64 (*.f64 x 1/12) (pow.f64 x -2)) 3)) (+.f64 1/16 (-.f64 (*.f64 (-.f64 (*.f64 x 1/12) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (pow.f64 x -2))) (*.f64 1/4 (-.f64 (*.f64 x 1/12) (pow.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) (*.f64 (fma.f64 x 1/12 1/4) (neg.f64 (pow.f64 x -2))))))
(/.f64 (-.f64 1/16 (*.f64 (-.f64 (*.f64 x 1/12) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (pow.f64 x -2)))) (-.f64 1/4 (-.f64 (*.f64 x 1/12) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))) (-.f64 (fma.f64 x 1/12 1/4) (neg.f64 (pow.f64 x -2))))
(pow.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(exp.f64 (log.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(fma.f64 1 (fma.f64 x 1/12 1/4) (neg.f64 (pow.f64 x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/4)) 2) (cbrt.f64 (fma.f64 x 1/12 1/4)) (neg.f64 (pow.f64 x -2)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 1/4)) (sqrt.f64 (fma.f64 x 1/12 1/4)) (neg.f64 (pow.f64 x -2)))
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 -1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))
(+.f64 1/2 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1))
(+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))
(+.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(+.f64 (*.f64 (fma.f64 x 1/12 1/2) 1) (*.f64 (/.f64 -1 x) 1))
(*.f64 1 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 2) (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3))) (+.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 (+.f64 1/2 (/.f64 1 x)) (-.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2))) (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x))) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(/.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728)) x) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) 1)) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) x))
(/.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728)) (neg.f64 x)) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) -1)) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) x) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) 1)) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) x))
(/.f64 (-.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (neg.f64 x)) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) -1)) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3)) (+.f64 1/4 (-.f64 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 x 1/12 (/.f64 -1 x))) (*.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))))
(/.f64 (-.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 x 1/12 (/.f64 -1 x)))) (-.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 1) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(fma.f64 1 (fma.f64 x 1/12 1/2) (/.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2) (cbrt.f64 (fma.f64 x 1/12 1/2)) (/.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)) (/.f64 -1 x))

simplify185.0ms (2.8%)

Algorithm
egg-herbie
Rules
1162×times-frac
928×associate-*r*
726×fma-def
532×distribute-rgt-in
484×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095422133
1240921313
Stop Event
node limit
Counts
639 → 583
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
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(+.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)) (pow.f64 x -2)))
(+.f64 (fma.f64 1 (fma.f64 x 1/12 1/4) (neg.f64 (*.f64 (pow.f64 x -2) 1))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (*.f64 (pow.f64 x -2) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/4)) 2) (cbrt.f64 (fma.f64 x 1/12 1/4)) (neg.f64 (*.f64 (pow.f64 x -2) 1))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (*.f64 (pow.f64 x -2) 1)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 x 1/12 1/4)) (sqrt.f64 (fma.f64 x 1/12 1/4)) (neg.f64 (*.f64 (pow.f64 x -2) 1))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (*.f64 (pow.f64 x -2) 1)))
(+.f64 (*.f64 (fma.f64 x 1/12 1/4) 1) (*.f64 (neg.f64 (pow.f64 x -2)) 1))
(*.f64 1 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) 2) (cbrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) (sqrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 3) (pow.f64 x -6)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (+.f64 (pow.f64 x -4) (*.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (pow.f64 x -4)) (/.f64 1 (+.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/12 1/4)) (/.f64 1 x)) (-.f64 (sqrt.f64 (fma.f64 x 1/12 1/4)) (/.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (+.f64 (pow.f64 x -4) (*.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)))) (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 3) (pow.f64 x -6))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 3) (pow.f64 x -6)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (+.f64 (pow.f64 x -4) (*.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (pow.f64 x -4)) (+.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 3) (pow.f64 x -6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (+.f64 (pow.f64 x -4) (*.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (pow.f64 x -4))) (neg.f64 (+.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(/.f64 (+.f64 1/64 (pow.f64 (-.f64 (*.f64 x 1/12) (pow.f64 x -2)) 3)) (+.f64 1/16 (-.f64 (*.f64 (-.f64 (*.f64 x 1/12) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (pow.f64 x -2))) (*.f64 1/4 (-.f64 (*.f64 x 1/12) (pow.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) (*.f64 (fma.f64 x 1/12 1/4) (neg.f64 (pow.f64 x -2))))))
(/.f64 (-.f64 1/16 (*.f64 (-.f64 (*.f64 x 1/12) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (pow.f64 x -2)))) (-.f64 1/4 (-.f64 (*.f64 x 1/12) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/4) 2) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))) (-.f64 (fma.f64 x 1/12 1/4) (neg.f64 (pow.f64 x -2))))
(pow.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(exp.f64 (log.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x 1/12 1/4) (pow.f64 x -2))))
(fma.f64 1 (fma.f64 x 1/12 1/4) (neg.f64 (pow.f64 x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/4)) 2) (cbrt.f64 (fma.f64 x 1/12 1/4)) (neg.f64 (pow.f64 x -2)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 1/4)) (sqrt.f64 (fma.f64 x 1/12 1/4)) (neg.f64 (pow.f64 x -2)))
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 -1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))
(+.f64 1/2 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1))
(+.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x))
(+.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(+.f64 (*.f64 (fma.f64 x 1/12 1/2) 1) (*.f64 (/.f64 -1 x) 1))
(*.f64 1 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 2) (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3))) (+.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 (+.f64 1/2 (/.f64 1 x)) (-.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2))) (-.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x))) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)) (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(/.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728)) x) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) 1)) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) x))
(/.f64 (-.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728)) (neg.f64 x)) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) -1)) (*.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (*.f64 1/24 x))) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) x) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) 1)) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) x))
(/.f64 (-.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (neg.f64 x)) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) -1)) (*.f64 (+.f64 1/2 (*.f64 -1/12 x)) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (+.f64 (pow.f64 x -2) (/.f64 (fma.f64 x 1/12 1/2) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3)) (+.f64 1/4 (-.f64 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 x 1/12 (/.f64 -1 x))) (*.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))))
(/.f64 (-.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 x 1/12 (/.f64 -1 x)))) (-.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 1) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(fma.f64 1 (fma.f64 x 1/12 1/2) (/.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2) (cbrt.f64 (fma.f64 x 1/12 1/2)) (/.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)) (/.f64 -1 x))
Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 x 1/12 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 x 1/12 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(/.f64 1 x)
1/2
1/2
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 (*.f64 x (E.f64)))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 1/12 x (fma.f64 1/12 (pow.f64 x 2) (/.f64 1 x))))
(+.f64 (fma.f64 1/12 (pow.f64 x 2) (/.f64 1 x)) (fma.f64 x 1/12 1/2))
(/.f64 3 x)
(-.f64 (*.f64 3 (/.f64 1 x)) (*.f64 18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 3 x) (/.f64 18 (pow.f64 x 2)))
(+.f64 (/.f64 3 x) (/.f64 -18 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 132 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (*.f64 18 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 132 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 18 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 132 (pow.f64 x 3)) (/.f64 -18 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 132 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (*.f64 1008 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 132 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (+.f64 (/.f64 18 (pow.f64 x 2)) (/.f64 1008 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 3 x) (/.f64 132 (pow.f64 x 3))) (/.f64 1008 (pow.f64 x 4))) (/.f64 18 (pow.f64 x 2)))
(/.f64 3 x)
(-.f64 (*.f64 3 (/.f64 1 x)) (*.f64 18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 3 x) (/.f64 18 (pow.f64 x 2)))
(+.f64 (/.f64 3 x) (/.f64 -18 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 132 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (*.f64 18 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 132 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 18 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 132 (pow.f64 x 3)) (/.f64 -18 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 132 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (*.f64 1008 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 132 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (+.f64 (/.f64 18 (pow.f64 x 2)) (/.f64 1008 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 3 x) (/.f64 132 (pow.f64 x 3))) (/.f64 1008 (pow.f64 x 4))) (/.f64 18 (pow.f64 x 2)))
(/.f64 -1 x)
(-.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 -1 x))
(-.f64 (+.f64 1/2 (*.f64 1/12 x)) (/.f64 1 x))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2)) (pow.f64 x -2)) (-.f64 (/.f64 -1 x) (fma.f64 x 1/12 1/2)))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3)) (+.f64 1/4 (-.f64 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 x 1/12 (/.f64 -1 x))) (*.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3)) (+.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 -1 x)) -1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 -1 x)) -1/2) 1/4))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (/.f64 -1 (pow.f64 x 3))) (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (fma.f64 x 1/12 1/2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) (/.f64 -1 (pow.f64 x 3))) (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (fma.f64 x 1/12 1/2)) (pow.f64 (fma.f64 x 1/12 1/2) 2)))
(/.f64 (-.f64 1/4 (*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 x 1/12 (/.f64 -1 x)))) (-.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (fma.f64 x 1/12 1/2) (/.f64 -1 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) 1) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (pow.f64 x -2)) (+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2)))
(pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 1)
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 3)
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 3) 1/3)
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 2)
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 2))
(fabs.f64 (-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x)))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))))))
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x))) 3))
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))) 1))
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 -1 x)))))
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(fma.f64 1 (fma.f64 x 1/12 1/2) (/.f64 -1 x))
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2) (cbrt.f64 (fma.f64 x 1/12 1/2)) (/.f64 -1 x))
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)) (/.f64 -1 x))
(-.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))

eval386.0ms (5.7%)

Compiler

Compiled 17808 to 14095 computations (20.9% saved)

prune130.0ms (1.9%)

Pruning

19 alts after pruning (10 fresh and 9 done)

PrunedKeptTotal
New86010870
Fresh000
Picked235
Done066
Total86219881
Accuracy
100.0%
Counts
881 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(/.f64 (/.f64 (E.f64) x) (E.f64))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
65.7%
(/.f64 (exp.f64 -1) (/.f64 x (E.f64)))
65.8%
(/.f64 (E.f64) (/.f64 (E.f64) (/.f64 1 x)))
65.6%
(/.f64 (E.f64) (*.f64 (E.f64) x))
65.8%
(/.f64 1 (/.f64 (*.f64 (E.f64) x) (E.f64)))
65.9%
(/.f64 1 (/.f64 (E.f64) (/.f64 (E.f64) x)))
38.6%
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
65.8%
(/.f64 1 (*.f64 (/.f64 x (E.f64)) (E.f64)))
65.9%
(/.f64 1 x)
66.0%
(+.f64 (/.f64 1 x) 1/2)
39.0%
(+.f64 (*.f64 x 1/12) (/.f64 (-.f64 (pow.f64 x -2) 1/4) (-.f64 (/.f64 1 x) 1/2)))
66.2%
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
39.1%
(+.f64 (*.f64 x 1/12) (*.f64 (-.f64 1/4 (pow.f64 x -2)) (/.f64 1 (+.f64 1/2 (/.f64 -1 x)))))
65.7%
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
65.7%
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
65.6%
(*.f64 (/.f64 1 (E.f64)) (/.f64 1 (/.f64 x (E.f64))))
3.5%
1
3.2%
1/2
Compiler

Compiled 364 to 264 computations (27.5% saved)

regimes22.0ms (0.3%)

Counts
25 → 1
Calls
Call 1
Inputs
1/2
1
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (E.f64) (*.f64 (E.f64) x))
(/.f64 (/.f64 (E.f64) x) (E.f64))
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
(/.f64 1 (*.f64 (/.f64 x (E.f64)) (E.f64)))
(/.f64 1 (/.f64 (E.f64) (/.f64 (E.f64) x)))
(/.f64 1 (/.f64 (*.f64 (E.f64) x) (E.f64)))
(/.f64 (E.f64) (/.f64 (E.f64) (/.f64 1 x)))
(*.f64 (/.f64 1 (E.f64)) (/.f64 1 (/.f64 x (E.f64))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
(/.f64 (exp.f64 -1) (/.f64 x (E.f64)))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 x 1/12) (/.f64 (-.f64 (pow.f64 x -2) 1/4) (-.f64 (/.f64 1 x) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(+.f64 (*.f64 x 1/12) (*.f64 (-.f64 1/4 (pow.f64 x -2)) (/.f64 1 (+.f64 1/2 (/.f64 -1 x)))))
(/.f64 (-.f64 (+.f64 1/4 (*.f64 x 1/12)) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (/.f64 (exp.f64 (+.f64 1 x)) (E.f64)) (expm1.f64 x))
Outputs
(/.f64 (/.f64 (exp.f64 (+.f64 1 x)) (E.f64)) (expm1.f64 x))
Calls

3 calls:

12.0ms
x
5.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
100.0%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes21.0ms (0.3%)

Counts
24 → 1
Calls
Call 1
Inputs
1/2
1
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (E.f64) (*.f64 (E.f64) x))
(/.f64 (/.f64 (E.f64) x) (E.f64))
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
(/.f64 1 (*.f64 (/.f64 x (E.f64)) (E.f64)))
(/.f64 1 (/.f64 (E.f64) (/.f64 (E.f64) x)))
(/.f64 1 (/.f64 (*.f64 (E.f64) x) (E.f64)))
(/.f64 (E.f64) (/.f64 (E.f64) (/.f64 1 x)))
(*.f64 (/.f64 1 (E.f64)) (/.f64 1 (/.f64 x (E.f64))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
(/.f64 (exp.f64 -1) (/.f64 x (E.f64)))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 x 1/12) (/.f64 (-.f64 (pow.f64 x -2) 1/4) (-.f64 (/.f64 1 x) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(+.f64 (*.f64 x 1/12) (*.f64 (-.f64 1/4 (pow.f64 x -2)) (/.f64 1 (+.f64 1/2 (/.f64 -1 x)))))
(/.f64 (-.f64 (+.f64 1/4 (*.f64 x 1/12)) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
Calls

3 calls:

12.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
100.0%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes23.0ms (0.3%)

Counts
22 → 2
Calls
Call 1
Inputs
1/2
1
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (E.f64) (*.f64 (E.f64) x))
(/.f64 (/.f64 (E.f64) x) (E.f64))
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
(/.f64 1 (*.f64 (/.f64 x (E.f64)) (E.f64)))
(/.f64 1 (/.f64 (E.f64) (/.f64 (E.f64) x)))
(/.f64 1 (/.f64 (*.f64 (E.f64) x) (E.f64)))
(/.f64 (E.f64) (/.f64 (E.f64) (/.f64 1 x)))
(*.f64 (/.f64 1 (E.f64)) (/.f64 1 (/.f64 x (E.f64))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
(/.f64 (exp.f64 -1) (/.f64 x (E.f64)))
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 x 1/12) (/.f64 (-.f64 (pow.f64 x -2) 1/4) (-.f64 (/.f64 1 x) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(+.f64 (*.f64 x 1/12) (*.f64 (-.f64 1/4 (pow.f64 x -2)) (/.f64 1 (+.f64 1/2 (/.f64 -1 x)))))
(/.f64 (-.f64 (+.f64 1/4 (*.f64 x 1/12)) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/12)) (+.f64 1/2 (*.f64 x 1/12))) (pow.f64 x -2)) (-.f64 (+.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))
Outputs
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
1/2
1
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (E.f64) (*.f64 (E.f64) x))
(/.f64 (/.f64 (E.f64) x) (E.f64))
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
(/.f64 1 (*.f64 (/.f64 x (E.f64)) (E.f64)))
(/.f64 1 (/.f64 (E.f64) (/.f64 (E.f64) x)))
(/.f64 1 (/.f64 (*.f64 (E.f64) x) (E.f64)))
(/.f64 (E.f64) (/.f64 (E.f64) (/.f64 1 x)))
(*.f64 (/.f64 1 (E.f64)) (/.f64 1 (/.f64 x (E.f64))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
(/.f64 (exp.f64 -1) (/.f64 x (E.f64)))
Outputs
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
66.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
1/2
1
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (E.f64) (*.f64 (E.f64) x))
(/.f64 (/.f64 (E.f64) x) (E.f64))
(*.f64 (/.f64 1 (E.f64)) (/.f64 (E.f64) x))
(*.f64 (/.f64 (/.f64 1 (E.f64)) x) (E.f64))
(/.f64 1 (*.f64 (/.f64 x (E.f64)) (E.f64)))
(/.f64 1 (/.f64 (E.f64) (/.f64 (E.f64) x)))
(/.f64 1 (/.f64 (*.f64 (E.f64) x) (E.f64)))
(/.f64 (E.f64) (/.f64 (E.f64) (/.f64 1 x)))
(*.f64 (/.f64 1 (E.f64)) (/.f64 1 (/.f64 x (E.f64))))
Outputs
(+.f64 (/.f64 1 x) 1/2)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
66.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
65.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
1/2
1
Outputs
1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
3.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
1/2
Outputs
1/2
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
3.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch12.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-0.022935551193865235
-0.00016871378096306564
Results
9.0ms96×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 152 to 127 computations (16.4% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×+-commutative
sub-neg
*-commutative
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032182
148182
253182
356182
457182
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (exp.f64 (+.f64 1 x)) (E.f64)) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x -1152921504606847/576460752303423488) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(/.f64 1 x)
1
1/2
Outputs
(/.f64 (/.f64 (exp.f64 (+.f64 1 x)) (E.f64)) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x -1152921504606847/576460752303423488) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(if (<=.f64 x -1152921504606847/576460752303423488) (/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 1 x)
1
1/2
Compiler

Compiled 61 to 49 computations (19.7% saved)

soundness907.0ms (13.5%)

Rules
1742×fma-def
1742×fma-def
1256×distribute-lft-in
1086×unswap-sqr
1086×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015104
133102
246102
368102
413582
543982
6224882
7455878
0929
18529
2106729
03173962
17443563
224543435
024187
1407151
26133151
04688559
112147975
251447959
0929
18529
2106729
03173962
17443563
224543435
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 772 to 473 computations (38.7% saved)

end0.0ms (0%)

preprocess74.0ms (1.1%)

Compiler

Compiled 138 to 104 computations (24.6% saved)

Profiling

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