qlog (example 3.10)

Time bar (total: 9.4s)

analyze415.0ms (4.4%)

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)

sample5.8s (61.3%)

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

preprocess1.0s (10.6%)

Algorithm
egg-herbie
Rules
1428×fma-neg
1286×div-sub
970×distribute-rgt-in
940×unsub-neg
926×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(log.f64 (+.f64 1 x))
2560-0-(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
152104
2103104
3160104
4210104
5248104
6315104
7408104
8568104
91141104
102497104
114787104
126215104
136606104
146635104
156648104
166655104
177560104
187969104
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))
3.8%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize613.0ms (6.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
7.9%
(log.f64 (+.f64 1 x))
7.9%
(log.f64 (-.f64 1 x))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series44.0ms (0.5%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
29.0ms
x
@0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.0ms
x
@-inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms
x
@inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
2.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
2.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite324.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
992×unpow-prod-down
972×fma-define
680×prod-diff
511×log1p-expm1-u
511×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01674
122658
2259258
Stop Event
node limit
Counts
4 → 494
Calls
Call 1
Inputs
(log.f64 (-.f64 1 x))
(log.f64 (+.f64 1 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Outputs
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (+.f64 1 x) 1))))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (hypot.f64 1 x) 2))) (log1p.f64 x))
(-.f64 (log1p.f64 x) 0)
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (+.f64 1 x) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 (*.f64 2 (log1p.f64 x)) (log1p.f64 x))
(-.f64 (*.f64 3 (log1p.f64 x)) (log.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 0 (*.f64 (+.f64 1 x) 0)))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 1 x) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (log1p.f64 x) (log.f64 (exp.f64 1)))
(*.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 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (sqrt.f64 (log1p.f64 x))) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(/.f64 (pow.f64 (log1p.f64 x) 2) (log1p.f64 x))
(/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 0 (*.f64 (log1p.f64 x) 0))))
(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)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 1 x) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(fma.f64 1 (log1p.f64 x) 0)
(fma.f64 (log1p.f64 x) 1 0)
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) 0)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) 0)
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (+.f64 1 x) 1))))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (hypot.f64 1 x) 2))) (log1p.f64 x))
(-.f64 (log1p.f64 x) 0)
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (+.f64 1 x) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 (*.f64 2 (log1p.f64 x)) (log1p.f64 x))
(-.f64 (*.f64 3 (log1p.f64 x)) (log.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 0 (*.f64 (+.f64 1 x) 0)))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 1 x) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (log1p.f64 x) (log.f64 (exp.f64 1)))
(*.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 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (sqrt.f64 (log1p.f64 x))) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(/.f64 (pow.f64 (log1p.f64 x) 2) (log1p.f64 x))
(/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 0 (*.f64 (log1p.f64 x) 0))))
(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)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 1 x) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(fma.f64 1 (log1p.f64 x) 0)
(fma.f64 (log1p.f64 x) 1 0)
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) 0)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) 0)
(+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 2)) (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 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) -1) (/.f64 1 (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) -1) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) -1) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) -1) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) -1))
(*.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) 1/3) (cbrt.f64 (/.f64 1 (log1p.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) 1/3) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) 1/3) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) 1/3) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1/3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) 1/3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1/3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) 3) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) 3) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) 3) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) 3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 3))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1/2)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1/3)
(pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) 1/3)
(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 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(fabs.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(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 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(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))) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(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))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 3))
(fma.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(fma.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(fma.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1 0)
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)) 0)
(fma.f64 (log1p.f64 x) (*.f64 (/.f64 1 (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) 0)
(fma.f64 (log1p.f64 x) (*.f64 (/.f64 1 (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(fma.f64 (log1p.f64 x) (*.f64 (/.f64 1 (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (/.f64 1 (log1p.f64 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))) 0)
(fma.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (/.f64 1 (log1p.f64 x)) 2) 0)
(fma.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (/.f64 1 (log1p.f64 x)) 2) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(fma.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (/.f64 1 (log1p.f64 x)) 2) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (/.f64 1 (log1p.f64 x))) 0)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))) 0)
(fma.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))) 0)
(fma.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x) 0)
(fma.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))) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
(fma.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))) 0)
(fma.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) (/.f64 1 (log1p.f64 x)) 0)
(fma.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) (/.f64 1 (log1p.f64 x)) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(fma.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) (/.f64 1 (log1p.f64 x)) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))

simplify178.0ms (1.9%)

Algorithm
egg-herbie
Rules
1230×fma-define
948×associate-*r*
784×add0
732×times-frac
672×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067216700
1239415532
Stop Event
node limit
Counts
542 → 412
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 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 (*.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))))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
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(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (/.f64 1 (neg.f64 (log1p.f64 x))) 1/2))
(*.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 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (pow.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))) -1))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))) -1))
(*.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)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.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 (neg.f64 (log1p.f64 x))) (pow.f64 (/.f64 1 (neg.f64 (log1p.f64 x))) -1))
(*.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 1 1/2) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) 1/2) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/2) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) 1/2) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) 1/2) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/2) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) 1/2) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) 2) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 2) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) 2) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) 2) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 2) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) 2) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 2) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 2))
(*.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) 1) (/.f64 1 (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) 1) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) -1) (/.f64 1 (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) -1) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) -1) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) -1) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) -1))
(*.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) 1/3) (cbrt.f64 (/.f64 1 (log1p.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) 1/3) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) 1/3) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) 1/3) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1/3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) 1/3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 1/3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1/3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) 3) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) 3) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) 3) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) 3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 3))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1/2)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1/3)
(pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) 1/3)
(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 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(fabs.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(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 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(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))) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(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))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 3))
(fma.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(fma.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(fma.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1 0)
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)) 0)
(fma.f64 (log1p.f64 x) (*.f64 (/.f64 1 (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) 0)
(fma.f64 (log1p.f64 x) (*.f64 (/.f64 1 (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(fma.f64 (log1p.f64 x) (*.f64 (/.f64 1 (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (/.f64 1 (log1p.f64 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))) 0)
(fma.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (/.f64 1 (log1p.f64 x)) 2) 0)
(fma.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (/.f64 1 (log1p.f64 x)) 2) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(fma.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (/.f64 1 (log1p.f64 x)) 2) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (/.f64 1 (log1p.f64 x))) 0)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))) 0)
(fma.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))) 0)
(fma.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x) 0)
(fma.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))) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
(fma.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))) 0)
(fma.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) (/.f64 1 (log1p.f64 x)) 0)
(fma.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) (/.f64 1 (log1p.f64 x)) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
(fma.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) (/.f64 1 (log1p.f64 x)) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
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(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) 3) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) 3) (/.f64 (log1p.f64 x) (pow.f64 (sqrt.f64 (log1p.f64 x)) 3)))
(*.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (sqrt.f64 (log1p.f64 x)) 3)) (*.f64 1 (/.f64 1 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 3)) (/.f64 (pow.f64 (log1p.f64 x) 3) (log1p.f64 x)))
(*.f64 (pow.f64 (log1p.f64 x) 2) (/.f64 1 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) 3) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 3))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (log1p.f64 x)) 3)) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) 3) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 3))
1
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (/.f64 (log1p.f64 x) (log1p.f64 x)))
1
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) 3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 3))
1
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) 3) (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) 3) (pow.f64 (log1p.f64 x) 2)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1/2)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1/3)
1
(pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) 1/3)
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 (/.f64 (log1p.f64 x) (log1p.f64 x)))
1
(fabs.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))
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 (/.f64 (log1p.f64 x) (log1p.f64 x)))
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))) 1/2))
1
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
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))) 1/3))
1
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3))
1
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 1/2))
1
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 2))
1
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 1))
1
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) -1))
1
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 1/3))
1
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) 3))
1
(fma.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
1
(fma.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
1
(fma.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1 0)
1
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
1
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
1
(fma.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(fma.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)) 0)
1
(fma.f64 (log1p.f64 x) (*.f64 (/.f64 1 (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) 0)
1
(fma.f64 (log1p.f64 x) (*.f64 (/.f64 1 (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
1
(fma.f64 (log1p.f64 x) (*.f64 (/.f64 1 (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(fma.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (/.f64 1 (log1p.f64 x))) 0)
(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (/.f64 1 (log1p.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
1
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))) 0)
1
(fma.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (/.f64 1 (log1p.f64 x)) 2) 0)
1
(fma.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (/.f64 1 (log1p.f64 x)) 2) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
1
(fma.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (/.f64 1 (log1p.f64 x)) 2) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (/.f64 1 (log1p.f64 x))) 0)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (/.f64 1 (log1p.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
1
(fma.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))) 0)
1
(fma.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))) 0)
1
(fma.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x) 0)
1
(fma.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))) 0)
(*.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))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 0)
(/.f64 (*.f64 1 (/.f64 (log1p.f64 x) (cbrt.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))
(fma.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) 0)
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
1
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (log1p.f64 x)) 0)
1
(fma.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) 0)
1
(fma.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))) 0)
(*.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))))
(fma.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) (/.f64 1 (log1p.f64 x)) 0)
1
(fma.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) (/.f64 1 (log1p.f64 x)) (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 0))
1
(fma.f64 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) (log1p.f64 x)) (/.f64 1 (log1p.f64 x)) (*.f64 0 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1

eval183.0ms (1.9%)

Compiler

Compiled 7967 to 4968 computations (37.6% saved)

prune87.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4093412
Fresh000
Picked022
Done000
Total4095414
Accuracy
100.0%
Counts
414 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.8%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.9%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
99.4%
(-.f64 -1 x)
98.3%
-1
Compiler

Compiled 35 to 28 computations (20% saved)

localize59.0ms (0.6%)

Compiler

Compiled 44 to 34 computations (22.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done022
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.8%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.9%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
99.4%
(-.f64 -1 x)
98.3%
-1
Compiler

Compiled 66 to 52 computations (21.2% saved)

regimes7.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.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)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

4.0ms
x
2.0ms
(/.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)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

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

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
28×+-commutative
26×unsub-neg
26×cancel-sign-sub-inv
14×add0
12×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02071
14467
26267
37367
47767
59167
610867
711467
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(+.f64 -1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(-.f64 -1 x)
-1
Compiler

Compiled 23 to 18 computations (21.7% saved)

soundness657.0ms (7%)

Rules
1428×fma-neg
1286×div-sub
1230×fma-define
970×distribute-rgt-in
948×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019124
152104
2103104
3160104
4210104
5248104
6315104
7408104
8568104
91141104
102497104
114787104
126215104
136606104
146635104
156648104
166655104
177560104
187969104
067216700
1239415532
Stop Event
node limit
node limit
Compiler

Compiled 67 to 49 computations (26.9% saved)

end0.0ms (0%)

preprocess44.0ms (0.5%)

Compiler

Compiled 74 to 56 computations (24.3% saved)

Profiling

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