qlog (example 3.10)

Time bar (total: 11.6s)

analyze551.0ms (4.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
0%0%50%50%0%0%0%3
0%0%50%50%0%0%0%4
0%0%50%50%0%0%0%5
6.3%3.1%46.8%50%0%0%0%6
9.4%4.7%45.3%50%0%0%0%7
12.5%6.2%43.7%50%0%0%0%8
13.3%6.6%43.3%50%0%0%0%9
13.9%6.9%43%50%0%0%0%10
14.2%7.1%42.9%50%0%0%0%11
14.3%7.1%42.8%50%0%0%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample5.4s (46.3%)

Results
0.0ms256valid
0.0ms512valid
1.0ms1024valid
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1.0ms1024valid
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1.0ms2048valid
1.0ms1024valid
1.0ms2048valid
0.0ms512valid
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0.0ms256valid
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0.0ms256valid
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1.0ms1024valid
1.0ms1024valid
1.0ms2048valid
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1.0ms1024valid
0.0ms512valid
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0.0ms256valid
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1.0ms1024valid
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0.0ms256valid
0.0ms512valid
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1.0ms1024valid
1.0ms1024valid
53.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
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1.0ms1024valid
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0.0ms512valid
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1.0ms1024valid
0.0ms512valid
0.0ms256valid
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1.0ms1024valid
1.0ms1024valid
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0.0ms512valid
0.0ms256valid
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1.0ms1024valid
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0.0ms512valid
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0.0ms512valid
2.0ms1024valid
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1.0ms1024valid
0.0ms256valid
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0.0ms512valid
1.0ms1024valid
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0.0ms256valid
1.0ms1024valid
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1.0ms1024valid
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0.0ms256valid
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1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms2048valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
2.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
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1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
Bogosity

preprocess741.0ms (6.4%)

Algorithm
egg-herbie
Rules
1104×unsub-neg
936×div-sub
908×sub-neg
646×distribute-lft-neg-in
612×times-frac
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2510-0-(log.f64 (+.f64 1 x))
2510-0-(log.f64 (-.f64 1 x))
00-0-x
00-0-(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
00-0-(+.f64 1 x)
00-0-(-.f64 1 x)
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019124
140104
261104
3102104
4151104
5208104
6260104
7349104
8535104
91134104
102740104
115104104
126414104
137104104
147296104
157366104
167378104
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(neg.f64 (/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x)))))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(neg.f64 (/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
Compiler

Compiled 64 to 48 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize144.0ms (1.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 x)
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 16 to 6 computations (62.5% saved)

series11.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
1.0ms
x
@0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
1.0ms
x
@-inf
(log1p.f64 x)
1.0ms
x
@inf
(log1p.f64 x)

rewrite176.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
684×unpow-prod-down
350×log-prod
332×cbrt-prod
314×log1p-expm1-u
314×expm1-log1p-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01033
111229
214909
Stop Event
node limit
Counts
2 → 37
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 x)
Outputs
1
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 2))) (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (sqrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 x)) 2))) (cbrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))

simplify71.0ms (0.6%)

Algorithm
egg-herbie
Rules
1738×fma-define
772×associate-+l+
710×times-frac
698×associate-+r+
430×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02454022
17053600
223763354
Stop Event
node limit
Counts
61 → 127
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))) (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 2))) (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (sqrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 x)) 2))) (cbrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2))) -1)
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) -1))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) -1) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -5/12 (pow.f64 x 3)))) -1)
(+.f64 -1 (-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -5/12 (pow.f64 x 3))) x))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -5/12 (pow.f64 x 3) -1)) x)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (+.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)) (/.f64 2 (neg.f64 (*.f64 (log.f64 x) x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(+.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 -2 (log.f64 x)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (neg.f64 (log.f64 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))))
(+.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)) (-.f64 (+.f64 (/.f64 2 (neg.f64 (*.f64 (log.f64 x) x))) (/.f64 1/2 (neg.f64 (*.f64 (log.f64 x) (pow.f64 x 2))))) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (pow.f64 x 2)) (log.f64 x)) (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 x 2)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))))))
(+.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)) (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (/.f64 (/.f64 -1/2 (log.f64 x)) (pow.f64 x 2))) (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 x 2)) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x))) (/.f64 (-.f64 (/.f64 2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))) (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (+.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (neg.f64 (log.f64 x))))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 x))) (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 (neg.f64 (log.f64 x)) 2))))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))))))))
(+.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)) (+.f64 (+.f64 (/.f64 2 (neg.f64 (*.f64 (log.f64 x) x))) (/.f64 1/2 (neg.f64 (*.f64 (log.f64 x) (pow.f64 x 2))))) (-.f64 (/.f64 1/3 (neg.f64 (*.f64 (log.f64 x) (pow.f64 x 3)))) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (pow.f64 x 2)) (log.f64 x)) (+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 x 2)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (fma.f64 1/3 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 x 3)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (neg.f64 (*.f64 (log.f64 x) (pow.f64 x 3)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))))) (/.f64 (/.f64 (-.f64 (neg.f64 (/.f64 1/2 (log.f64 x))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (log.f64 x)))) (pow.f64 x 3)) (log.f64 x)))))))
(+.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)) (+.f64 (fma.f64 1/3 (/.f64 (/.f64 -1 (log.f64 x)) (pow.f64 x 3)) (/.f64 (/.f64 -1/2 (log.f64 x)) (pow.f64 x 2))) (-.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (+.f64 (+.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 3)) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x)) (*.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (pow.f64 x 2))))) (*.f64 (/.f64 1 (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 -2 (log.f64 x)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (pow.f64 x 2)) (/.f64 (-.f64 (/.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (+.f64 (/.f64 (/.f64 -2 (log.f64 x)) (log.f64 x)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))))) (pow.f64 x 3))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (neg.f64 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x))
(-.f64 (/.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x))))
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(log1p.f64 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 x)) 2))) (cbrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)

eval377.0ms (3.2%)

Compiler

Compiled 4183 to 3017 computations (27.9% saved)

prune16.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1234127
Fresh000
Picked011
Done000
Total1235128
Accuracy
100.0%
Counts
128 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.4%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
98.0%
(-.f64 -1 x)
96.8%
-1
Compiler

Compiled 35 to 28 computations (20% saved)

localize285.0ms (2.5%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 x)
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3))
99.0%
(cbrt.f64 (log1p.f64 x))
98.9%
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
100.0%
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
100.0%
(*.f64 -1/2 (pow.f64 x 2))
Compiler

Compiled 70 to 44 computations (37.1% saved)

series36.0ms (0.3%)

Counts
5 → 31
Calls

15 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
9.0ms
x
@inf
(cbrt.f64 (log1p.f64 x))
6.0ms
x
@-inf
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
2.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3))
2.0ms
x
@-inf
(cbrt.f64 (log1p.f64 x))

rewrite135.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
834×log-prod
748×log1p-expm1-u
748×expm1-log1p-u
704×fma-define
342×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02088
125578
2307478
Stop Event
node limit
Counts
5 → 329
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(cbrt.f64 (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3))
Outputs
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(-.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 0 (fma.f64 -1/2 (pow.f64 x 2) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (fma.f64 -1/2 (pow.f64 x 2) x)) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 -1/2 (pow.f64 x 2) x)))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) 0) x)
(*.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(*.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 2) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 3) -1/2)))))
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 1)
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (log.f64 (exp.f64 1)))
(*.f64 (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 -1/2))) (-.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 -1/2))))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 3) -1/2))) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/8 (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 2)))
(/.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 2) (fma.f64 -1/2 (pow.f64 x 2) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/8 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 3) -1/2))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 x x (*.f64 (pow.f64 x 3) -1/2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 3) -1/2)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 2)) (fma.f64 -1/2 (pow.f64 x 2) x))
(/.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/8)) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 3) -1/2))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 x 2)) (fma.f64 -1/2 (pow.f64 x 2) x))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)
(pow.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 1)
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 3) -1/2))) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/8 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 2)) -1)
(neg.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 2)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/2) (pow.f64 x 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 2)) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2)))) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/2) (pow.f64 x 2))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(exp.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 2))
(fma.f64 -1/2 (pow.f64 x 2) x)
(fma.f64 (pow.f64 x 2) -1/2 x)
(fma.f64 (*.f64 -1/2 (pow.f64 x 2)) 1 x)
(fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (neg.f64 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 -1 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 -1 x (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(fma.f64 -1 x (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))))
(fma.f64 x -1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 x -1 (neg.f64 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 x -1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x -1 (*.f64 -1 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 x -1 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(fma.f64 x -1 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))))
(fma.f64 x 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 x 1 (neg.f64 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 x 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x 1 (*.f64 -1 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 x 1 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(fma.f64 x 1 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 1 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1 x (neg.f64 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 1 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1 x (*.f64 -1 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 1 x (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(fma.f64 1 x (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 (pow.f64 x 2) -1/2 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 (neg.f64 (*.f64 -1/2 (pow.f64 x 2))) 1 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (neg.f64 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 -1 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (neg.f64 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 -1 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) x)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (fma.f64 (pow.f64 x 2) -1/2 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (fma.f64 (neg.f64 (*.f64 -1/2 (pow.f64 x 2))) 1 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (fma.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) (*.f64 -1/2 (pow.f64 x 2))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 x)))) (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 x)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (cbrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (log1p.f64 x))) 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (log1p.f64 x))) 1/3)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 1/3)))
(pow.f64 (log1p.f64 x) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (log1p.f64 x))) 2))
(+.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) -1)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 2))

simplify489.0ms (4.2%)

Algorithm
egg-herbie
Rules
960×fma-define
848×associate-*r*
760×associate-*l*
644×times-frac
632×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089921761
1241619880
Stop Event
node limit
Counts
360 → 493
Calls
Call 1
Inputs
(*.f64 -1 x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (*.f64 (/.f64 1 x) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (*.f64 (/.f64 1 x) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 x 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (*.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (*.f64 (/.f64 1 x) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (*.f64 (/.f64 1 x) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 x))) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))) (pow.f64 x 2))))))))
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(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
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(*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) -1)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 2))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 x))))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (*.f64 (/.f64 1 x) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (*.f64 (/.f64 1 x) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 4) 1/18)) (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) 1))
(+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 4) 1/18)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) x)) (log.f64 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 x 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (*.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (*.f64 (/.f64 1 x) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (*.f64 (/.f64 1 x) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 x))) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))) (pow.f64 x 2))))))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (pow.f64 x 2))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 4) 1/18)) (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) 1) (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (*.f64 (cbrt.f64 -1) (/.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (pow.f64 x 2))))))))
(+.f64 (fma.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18) (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/2) (pow.f64 x 2)) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18) (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18) (/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 x 2)))) (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 4) 1/18)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) x)) (*.f64 (cbrt.f64 -1) (*.f64 (/.f64 (fma.f64 1/9 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 4)) 1/18)) (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18) (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/2) (cbrt.f64 -1)) (*.f64 (cbrt.f64 (/.f64 1 (neg.f64 (log.f64 x)))) -2/3))) (pow.f64 x 2)) (cbrt.f64 (neg.f64 (log.f64 x)))))))) (log.f64 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 x 2)))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 5)) 1/9) (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (*.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (*.f64 (/.f64 1 x) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/9) (*.f64 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 x))) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (*.f64 (/.f64 1 x) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 x))) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))) (pow.f64 x 2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 x))) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 x)) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)))))) (pow.f64 x 3))))))))))))
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-1
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1
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1
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(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log.f64 (exp.f64 1)))
1
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
1
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
1
(*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
1
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
1
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
1
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
1
(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) -1)
1
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
1
(neg.f64 (/.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
1
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
1
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
1
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
1
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1))
1
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) -1))
1
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 3))
1
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 1/3))
1
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 2))
1

eval446.0ms (3.8%)

Compiler

Compiled 17627 to 13397 computations (24% saved)

prune82.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New5751576
Fresh000
Picked134
Done011
Total5765581
Accuracy
100.0%
Counts
581 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.4%
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
98.0%
(-.f64 -1 x)
96.8%
-1
Compiler

Compiled 33 to 26 computations (21.2% saved)

localize103.0ms (0.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
100.0%
(*.f64 -1/2 (pow.f64 x 2))
Compiler

Compiled 30 to 23 computations (23.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite79.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1274×prod-diff
902×unpow-prod-down
578×fma-define
471×log1p-expm1-u
471×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
110325
2135625
Stop Event
node limit
Counts
1 → 110
Calls
Call 1
Inputs
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
Outputs
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (neg.f64 x) 1))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (+.f64 (neg.f64 x) x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 -1 x x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) x))
(+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 0 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))))
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1)
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)))
(*.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2) 3) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 3))
(*.f64 (pow.f64 1 1/3) (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))) (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (fma.f64 -1/2 (pow.f64 x 2) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3)))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2))) (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (neg.f64 x) 2)) (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))
(pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))) (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3)))) -1)
(pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 1) 1))
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(fma.f64 -1/2 (pow.f64 x 2) (*.f64 (neg.f64 x) 1))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 x 2) -1/2 (neg.f64 x))
(fma.f64 (pow.f64 x 2) -1/2 (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 -1/2 (pow.f64 x 2)) 1 (neg.f64 x))
(fma.f64 (*.f64 -1/2 (pow.f64 x 2)) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1 (+.f64 (neg.f64 x) x))
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 1 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 -1/2 x) x (neg.f64 x))
(fma.f64 (*.f64 -1/2 x) x (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 x) 1))

simplify174.0ms (1.5%)

Algorithm
egg-herbie
Rules
1666×fma-define
580×unswap-sqr
544×log-prod
444×exp-prod
442×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02354318
15444144
215473734
361703734
Stop Event
node limit
Counts
122 → 135
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (neg.f64 x) 1))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (+.f64 (neg.f64 x) x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 -1 x x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) x))
(+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 0 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))))
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1)
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)))
(*.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2) 3) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 3))
(*.f64 (pow.f64 1 1/3) (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))) (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (fma.f64 -1/2 (pow.f64 x 2) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3)))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2))) (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (neg.f64 x) 2)) (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))
(pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))) (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3)))) -1)
(pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 1) 1))
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(fma.f64 -1/2 (pow.f64 x 2) (*.f64 (neg.f64 x) 1))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 x 2) -1/2 (neg.f64 x))
(fma.f64 (pow.f64 x 2) -1/2 (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 -1/2 (pow.f64 x 2)) 1 (neg.f64 x))
(fma.f64 (*.f64 -1/2 (pow.f64 x 2)) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1 (+.f64 (neg.f64 x) x))
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 1 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 -1/2 x) x (neg.f64 x))
(fma.f64 (*.f64 -1/2 x) x (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 x) 1))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (+.f64 (neg.f64 x) x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 -1 x x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 0 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (fma.f64 x -1/2 -1))))) 3)
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 1)
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (log.f64 (exp.f64 1)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (neg.f64 (pow.f64 x 2))) (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2) 3) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 3))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (pow.f64 1 1/3) (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 3)) 1/3))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x) (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 8)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))) (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3)))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (neg.f64 (pow.f64 x 2))) (fma.f64 -1/2 (pow.f64 x 2) x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (neg.f64 (pow.f64 x 2))) (fma.f64 -1/2 (pow.f64 x 2) x))
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(-.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) x)
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))) (+.f64 (neg.f64 x) x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))) (fma.f64 (neg.f64 x) 1 x))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 (neg.f64 (pow.f64 x 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))) (+.f64 (neg.f64 x) x))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (neg.f64 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 x 3)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/2 (pow.f64 x 3) (pow.f64 x 2))))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)) (fma.f64 (neg.f64 x) 1 x))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (neg.f64 (pow.f64 x 2))) (fma.f64 -1/2 (pow.f64 x 2) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (neg.f64 (pow.f64 x 2))) (fma.f64 -1/2 (pow.f64 x 2) x))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 (neg.f64 x) x))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) x)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (neg.f64 (pow.f64 x 2))) (fma.f64 -1/2 (pow.f64 x 2) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 -1/2 x) x (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 -1/2 x) x (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))

eval60.0ms (0.5%)

Compiler

Compiled 2714 to 1975 computations (27.2% saved)

prune35.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1542156
Fresh000
Picked101
Done044
Total1556161
Accuracy
100.0%
Counts
161 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.4%
(-.f64 (fma.f64 (*.f64 -1/2 x) x (neg.f64 x)) 1)
98.4%
(-.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
98.0%
(-.f64 -1 x)
96.8%
-1
Compiler

Compiled 42 to 32 computations (23.8% saved)

localize100.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (fma.f64 x -1/2 -1))
Compiler

Compiled 48 to 31 computations (35.4% saved)

series7.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(*.f64 x (fma.f64 x -1/2 -1))
1.0ms
x
@0
(*.f64 x (fma.f64 x -1/2 -1))
1.0ms
x
@-inf
(*.f64 x (fma.f64 x -1/2 -1))

rewrite65.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
522×unpow-prod-down
324×log-prod
320×cbrt-prod
284×sqrt-prod
283×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
16921
276921
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(*.f64 x (fma.f64 x -1/2 -1))
Outputs
(+.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) -1)
(+.f64 0 (*.f64 x (fma.f64 x -1/2 -1)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x -1))
(+.f64 (*.f64 x -1) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 (*.f64 x -1/2) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 x -1/2 -1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 (*.f64 x -1) 1))
(+.f64 (*.f64 (*.f64 (*.f64 x -1/2) x) 1) (*.f64 (neg.f64 x) 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (*.f64 x -1) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (-.f64 (*.f64 (*.f64 x -1) (*.f64 x -1)) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x -1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x -1/2) x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x -1/2) x) (*.f64 (*.f64 x -1/2) x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 1))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 x -1) (*.f64 x -1))) (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x -1)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x -1/2) x) (*.f64 (*.f64 x -1/2) x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1)))) 1) (+.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 1))
(pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2))
(fabs.f64 (*.f64 x (fma.f64 x -1/2 -1)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 2))
(fma.f64 x (*.f64 x -1/2) (*.f64 x -1))
(fma.f64 (*.f64 x -1/2) x (neg.f64 x))

simplify46.0ms (0.4%)

Algorithm
egg-herbie
Rules
1892×times-frac
1392×fma-define
836×distribute-lft-in
778×distribute-rgt-in
620×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01251486
14211416
214901358
Stop Event
node limit
Counts
49 → 48
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) -1)
(+.f64 0 (*.f64 x (fma.f64 x -1/2 -1)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x -1))
(+.f64 (*.f64 x -1) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 (*.f64 x -1/2) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 x -1/2 -1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 (*.f64 x -1) 1))
(+.f64 (*.f64 (*.f64 (*.f64 x -1/2) x) 1) (*.f64 (neg.f64 x) 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (*.f64 x -1) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (-.f64 (*.f64 (*.f64 x -1) (*.f64 x -1)) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x -1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x -1/2) x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x -1/2) x) (*.f64 (*.f64 x -1/2) x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 1))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 x -1) (*.f64 x -1))) (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x -1)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x -1/2) x) (*.f64 (*.f64 x -1/2) x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1)))) 1) (+.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 1))
(pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2))
(fabs.f64 (*.f64 x (fma.f64 x -1/2 -1)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 2))
(fma.f64 x (*.f64 x -1/2) (*.f64 x -1))
(fma.f64 (*.f64 x -1/2) x (neg.f64 x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) -1)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 0 (*.f64 x (fma.f64 x -1/2 -1)))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x -1))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 x -1) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (neg.f64 x) (*.f64 (*.f64 x -1/2) x))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 x -1/2 -1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 (*.f64 x -1) 1))
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 (*.f64 (*.f64 x -1/2) x) 1) (*.f64 (neg.f64 x) 1))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 1)
(*.f64 x (fma.f64 x -1/2 -1))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (*.f64 x -1) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (-.f64 (*.f64 (*.f64 x -1) (*.f64 x -1)) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x -1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))))))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 (pow.f64 x 2) 3)) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) 1)) (*.f64 -1/2 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 -1) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (fma.f64 x -1/2 1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x -1/2) x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x -1/2) x) (*.f64 (*.f64 x -1/2) x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))))))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 (pow.f64 x 2) 3)) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) 1)) (*.f64 -1/2 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 -1) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (fma.f64 x -1/2 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 3) -1) (fma.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 1 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) 3)) (fma.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) (fma.f64 x (fma.f64 x -1/2 -1) 1) (+.f64 2 (*.f64 x (fma.f64 x -1/2 -1)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) (fma.f64 x (fma.f64 x -1/2 -1) 2))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 x -1) (*.f64 x -1))) (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x -1)))
(*.f64 x (fma.f64 x -1/2 -1))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x -1/2) x) (*.f64 (*.f64 x -1/2) x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)))
(*.f64 x (fma.f64 x -1/2 -1))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1)))) 1) (+.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 -1))) 1))
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 3)
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) 1/2)
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3) 1/3)
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2)
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (E.f64) (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2))
(*.f64 x (fma.f64 x -1/2 -1))
(fabs.f64 (*.f64 x (fma.f64 x -1/2 -1)))
(*.f64 x (fma.f64 x -1/2 -1))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))
(*.f64 x (fma.f64 x -1/2 -1))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3))
(*.f64 x (fma.f64 x -1/2 -1))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(*.f64 x (fma.f64 x -1/2 -1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(*.f64 x (fma.f64 x -1/2 -1))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(*.f64 x (fma.f64 x -1/2 -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 3))
(*.f64 x (fma.f64 x -1/2 -1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 1/3))
(*.f64 x (fma.f64 x -1/2 -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 2))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 x (*.f64 x -1/2) (*.f64 x -1))
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 (*.f64 x -1/2) x (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))

eval19.0ms (0.2%)

Compiler

Compiled 850 to 651 computations (23.4% saved)

prune260.0ms (2.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New47148
Fresh000
Picked112
Done044
Total48654
Accuracy
100.0%
Counts
54 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.4%
(-.f64 (fma.f64 (*.f64 -1/2 x) x (neg.f64 x)) 1)
98.4%
(-.f64 (+.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)) 1)
98.0%
(-.f64 -1 x)
96.8%
-1
Compiler

Compiled 120 to 85 computations (29.2% saved)

regimes13.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)) 1)
(-.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(-.f64 (fma.f64 (*.f64 -1/2 x) x (neg.f64 x)) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

6.0ms
x
3.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)) 1)
(-.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(-.f64 (fma.f64 (*.f64 -1/2 x) x (neg.f64 x)) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
Outputs
(-.f64 (fma.f64 (*.f64 -1/2 x) x (neg.f64 x)) 1)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)) 1)
(-.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
Outputs
(-.f64 (+.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)) 1)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
96.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022104
137104
244104
352104
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (fma.f64 (*.f64 -1/2 x) x (neg.f64 x)) 1)
(-.f64 (+.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)) 1)
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (fma.f64 (*.f64 -1/2 x) x (neg.f64 x)) 1)
(-.f64 (fma.f64 (*.f64 x -1/2) x (neg.f64 x)) 1)
(+.f64 (fma.f64 (*.f64 x -1/2) x (neg.f64 x)) -1)
(-.f64 (+.f64 (*.f64 (*.f64 x -1/2) x) (neg.f64 x)) 1)
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(-.f64 -1 x)
-1
Compiler

Compiled 33 to 24 computations (27.3% saved)

soundness1.5s (13.2%)

Rules
1738×fma-define
1666×fma-define
1274×prod-diff
1104×unsub-neg
936×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019124
140104
261104
3102104
4151104
5208104
6260104
7349104
8535104
91134104
102740104
115104104
126414104
137104104
147296104
157366104
167378104
02454022
17053600
223763354
02088
125578
2307478
02354318
15444144
215473734
361703734
01021
16921
276921
01025
110325
2135625
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 272 to 205 computations (24.6% saved)

end0.0ms (0%)

preprocess149.0ms (1.3%)

Compiler

Compiled 92 to 64 computations (30.4% saved)

Profiling

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