Rust f64::atanh

Time bar (total: 8.2s)

analyze2.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 4 to 3 computations (25% saved)

sample814.0ms (9.9%)

Results
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Bogosity

preprocess443.0ms (5.4%)

Algorithm
egg-herbie
Rules
260×fma-define
48×sub-neg
44×fma-neg
30×*-commutative
28×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 2 x)
00-0-(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
00-0-1/2
00-0-(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
00-0-(-.f64 1 x)
00-0-2
00-0-1
00-0-(/.f64 (*.f64 2 x) (-.f64 1 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871
13571
24571
35871
47371
59271
614971
725671
831471
934971
1037571
1139371
1245671
1345871
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))
Compiler

Compiled 85 to 65 computations (23.5% saved)

eval0.0ms (0%)

Compiler

Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

localize343.0ms (4.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
100.0%
(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 37 to 28 computations (24.3% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
1.0ms
x
@-inf
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
1.0ms
x
@inf
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
1.0ms
x
@inf
(/.f64 (*.f64 2 x) (-.f64 1 x))
1.0ms
x
@-inf
(/.f64 (*.f64 2 x) (-.f64 1 x))

rewrite250.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1310×unpow-prod-down
1098×prod-diff
728×log-prod
668×log1p-expm1-u
668×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
113154
2176154
Stop Event
node limit
Counts
2 → 157
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) (-.f64 1 x))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
Outputs
(+.f64 0 (*.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 x (pow.f64 (/.f64 2 (-.f64 1 x)) 1))
(*.f64 x (pow.f64 (*.f64 2 (/.f64 1 (-.f64 1 x))) 1))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3))
(*.f64 (*.f64 2 x) (pow.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) 2))
(*.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))) 1))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 2 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(*.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))) 1))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (*.f64 x -2) (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 2 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (*.f64 2 x)) -1))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 x (-.f64 1 x)) (log.f64 (exp.f64 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 2 x)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 2 x)) -1))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (pow.f64 1 1/3) (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 x 1) 1) (pow.f64 (/.f64 2 (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 2 (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) 1) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3) (pow.f64 (*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) 1/3) (pow.f64 (sqrt.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) 2) 1/3) (pow.f64 (/.f64 x (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) (*.f64 2 x)) 1/3) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (*.f64 2 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)))) -1) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 1 x) -1) (pow.f64 (/.f64 (-.f64 1 x) 2) -1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 2 x))) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 2) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) 2) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 2 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (*.f64 2 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 2) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 2 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 2 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 2 x))) -1))
(pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)
(pow.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) 1) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (*.f64 x -2) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(cbrt.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) (*.f64 2 x))) -1))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) (*.f64 x (/.f64 2 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))) (log.f64 (-.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 1 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))

simplify130.0ms (1.6%)

Algorithm
egg-herbie
Rules
1292×fma-neg
838×log-prod
768×associate-*l*
762×associate-*r*
750×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04966925
112916737
248486665
Stop Event
node limit
Counts
181 → 261
Calls
Call 1
Inputs
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2 x)))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 x 2))))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(+.f64 0 (*.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 x (pow.f64 (/.f64 2 (-.f64 1 x)) 1))
(*.f64 x (pow.f64 (*.f64 2 (/.f64 1 (-.f64 1 x))) 1))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3))
(*.f64 (*.f64 2 x) (pow.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) 2))
(*.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))) 1))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 2 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(*.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))) 1))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (*.f64 x -2) (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 2 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (*.f64 2 x)) -1))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 x (-.f64 1 x)) (log.f64 (exp.f64 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 2 x)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 2 x)) -1))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (pow.f64 1 1/3) (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 x 1) 1) (pow.f64 (/.f64 2 (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 2 (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) 1) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3) (pow.f64 (*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) 1/3) (pow.f64 (sqrt.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) 2) 1/3) (pow.f64 (/.f64 x (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) (*.f64 2 x)) 1/3) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (*.f64 2 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)))) -1) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 1 x) -1) (pow.f64 (/.f64 (-.f64 1 x) 2) -1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 2 x))) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 2) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) 2) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 2 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (*.f64 2 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 2) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 2 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 2 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 2 x))) -1))
(pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)
(pow.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) 1) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (*.f64 x -2) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(cbrt.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) (*.f64 2 x))) -1))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) (*.f64 x (/.f64 2 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))) (log.f64 (-.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 1 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
Outputs
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2 x)))
(*.f64 x (fma.f64 2 x 2))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (fma.f64 x (fma.f64 2 x 2) 2))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 x 2)) (+.f64 2 (/.f64 2 x)))
(+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) (pow.f64 x 2)) (+.f64 -2 (/.f64 -2 x)))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))) x) -2)
(fma.f64 -1 (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) 2)) x) -2)
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) 2/5)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/5 2/3) 2))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 (pow.f64 x 2) 2/7)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/7 2/5) 2/3) 2))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (log.f64 -1)))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x)))
(-.f64 (log.f64 -1) (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x))
(+.f64 0 (*.f64 x (/.f64 2 (-.f64 1 x))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 -2 (+.f64 -1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 -2 (+.f64 -1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(*.f64 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(*.f64 x (pow.f64 (/.f64 2 (-.f64 1 x)) 1))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(*.f64 x (pow.f64 (*.f64 2 (/.f64 1 (-.f64 1 x))) 1))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(*.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3))
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(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x)))) 2)))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) 2) (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x)))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))) 2) (pow.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x)))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x)))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))) 7) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2) (sqrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x)))))) (cbrt.f64 (*.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x)))) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 -1 x))))

eval124.0ms (1.5%)

Compiler

Compiled 5281 to 4426 computations (16.2% saved)

prune46.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2547261
Fresh000
Picked011
Done000
Total2548262
Accuracy
100.0%
Counts
262 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) (log1p.f64 (-.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 2) (/.f64 (*.f64 2 x) (-.f64 1 x))))))
99.3%
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3))))
99.7%
(*.f64 1/2 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)))
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (*.f64 2 x) (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))))
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
98.3%
(*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 2 x)))))
97.3%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 205 to 171 computations (16.6% saved)

localize421.0ms (5.1%)

Compiler

Compiled 169 to 132 computations (21.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New000
Fresh022
Picked055
Done011
Total088
Accuracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) (log1p.f64 (-.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 2) (/.f64 (*.f64 2 x) (-.f64 1 x))))))
99.3%
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3))))
99.7%
(*.f64 1/2 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)))
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (*.f64 2 x) (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))))
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
98.3%
(*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 2 x)))))
97.3%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 108 to 90 computations (16.7% saved)

localize2.1s (25%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
100.0%
(/.f64 (*.f64 2 x) (-.f64 1 x))
100.0%
(/.f64 x (-.f64 1 x))
99.9%
(pow.f64 (/.f64 x (-.f64 1 x)) 3)
100.0%
(log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1))
100.0%
(/.f64 (-.f64 1 x) (*.f64 2 x))
99.7%
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
Compiler

Compiled 205 to 159 computations (22.4% saved)

series15.0ms (0.2%)

Counts
6 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (-.f64 1 x) (*.f64 2 x))
1.0ms
x
@inf
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
1.0ms
x
@0
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
1.0ms
x
@inf
(/.f64 (-.f64 1 x) (*.f64 2 x))
1.0ms
x
@0
(log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1))

rewrite161.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1242×log-prod
932×prod-diff
748×log1p-expm1-u
748×expm1-log1p-u
356×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019166
1233154
23138154
Stop Event
node limit
Counts
6 → 277
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(/.f64 (-.f64 1 x) (*.f64 2 x))
(log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1))
(pow.f64 (/.f64 x (-.f64 1 x)) 3)
(/.f64 x (-.f64 1 x))
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
Outputs
(+.f64 0 (*.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))
(-.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) 1)
(*.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (*.f64 x 2) (/.f64 1 (-.f64 1 x)))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (/.f64 (cbrt.f64 (*.f64 x 2)) (-.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1/2 x) -1))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))) -1) (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 x 2) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) 1) (/.f64 (cbrt.f64 (*.f64 x 2)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (cbrt.f64 (*.f64 x 2)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) (/.f64 (sqrt.f64 (*.f64 x 2)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) (*.f64 x -2))
(*.f64 (/.f64 (*.f64 x 2) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (*.f64 x 2) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1/2 (/.f64 x 2))) x)
(/.f64 1 (*.f64 (-.f64 1 x) (/.f64 1/2 x)))
(/.f64 1 (/.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x)) 1))
(/.f64 (*.f64 x 2) (-.f64 1 x))
(/.f64 -1 (neg.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))))
(/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1/2 x))
(/.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))))
(/.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 x 2) 1) (-.f64 1 x))
(/.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))) 2)) (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1))
(fma.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x)))) (sqrt.f64 (*.f64 x (/.f64 1/2 x))) (*.f64 x (/.f64 1/2 x))))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) 2)) (/.f64 (sqrt.f64 x) x) (*.f64 x (/.f64 1/2 x))))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) 2) (*.f64 x (/.f64 1/2 x))))
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simplify194.0ms (2.4%)

Algorithm
egg-herbie
Rules
944×log-prod
742×associate-*r*
710×associate-*l*
704×fma-define
568×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083512110
1227610328
2759610328
Stop Event
node limit
Counts
349 → 467
Calls
Call 1
Inputs
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2 x)))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(/.f64 1/2 x)
(/.f64 (+.f64 1/2 (*.f64 -1/2 x)) x)
(/.f64 (+.f64 1/2 (*.f64 -1/2 x)) x)
(/.f64 (+.f64 1/2 (*.f64 -1/2 x)) x)
-1/2
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 x 2))))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 3 x)))
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 3 (*.f64 6 x)))))
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 3 (*.f64 x (+.f64 6 (*.f64 10 x)))))))
-1
(*.f64 -1 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 6 (/.f64 1 x))) x)) 1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 10 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 3 (/.f64 1 x))))
-1
(*.f64 -1 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 6 (/.f64 1 x))) x)) 1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 6 (/.f64 1 x)) (/.f64 10 (pow.f64 x 2)))) x)) 1)
x
(*.f64 x (+.f64 1 x))
(*.f64 x (+.f64 1 (*.f64 x (+.f64 1 x))))
(*.f64 x (+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1 x))))))
-1
(*.f64 -1 (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x 2))) (+.f64 1 (/.f64 1 x)))
-1
(*.f64 -1 (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) x)) 1)
(*.f64 8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (+.f64 8 (*.f64 24 x)))
(*.f64 (pow.f64 x 3) (+.f64 8 (*.f64 x (+.f64 24 (*.f64 48 x)))))
(*.f64 (pow.f64 x 3) (+.f64 8 (*.f64 x (+.f64 24 (*.f64 x (+.f64 48 (*.f64 80 x)))))))
-8
(*.f64 -1 (+.f64 8 (*.f64 24 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 24 (*.f64 48 (/.f64 1 x))) x)) 8)
(-.f64 (*.f64 -1 (/.f64 (+.f64 48 (*.f64 80 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 8 (*.f64 24 (/.f64 1 x))))
-8
(*.f64 -1 (+.f64 8 (*.f64 24 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 24 (*.f64 48 (/.f64 1 x))) x)) 8)
(-.f64 (*.f64 -1 (/.f64 (+.f64 24 (+.f64 (*.f64 48 (/.f64 1 x)) (/.f64 80 (pow.f64 x 2)))) x)) 8)
(+.f64 0 (*.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))
(-.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) 1)
(*.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (*.f64 x 2) (/.f64 1 (-.f64 1 x)))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (/.f64 (cbrt.f64 (*.f64 x 2)) (-.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 2))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1/2 x) -1))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))) -1) (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 x 2) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) 1) (/.f64 (cbrt.f64 (*.f64 x 2)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (cbrt.f64 (*.f64 x 2)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) (/.f64 (sqrt.f64 (*.f64 x 2)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) (*.f64 x -2))
(*.f64 (/.f64 (*.f64 x 2) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (*.f64 x 2) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1/2 (/.f64 x 2))) x)
(/.f64 1 (*.f64 (-.f64 1 x) (/.f64 1/2 x)))
(/.f64 1 (/.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x)) 1))
(/.f64 (*.f64 x 2) (-.f64 1 x))
(/.f64 -1 (neg.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))))
(/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1/2 x))
(/.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))))
(/.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 x 2) 1) (-.f64 1 x))
(/.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))) 2)) (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1))
(fma.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1)) -1)
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x)))) (sqrt.f64 (*.f64 x (/.f64 1/2 x))) (*.f64 x (/.f64 1/2 x))))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) 2)) (/.f64 (sqrt.f64 x) x) (*.f64 x (/.f64 1/2 x))))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) 2) (*.f64 x (/.f64 1/2 x))))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 2)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 2))) (*.f64 x (/.f64 1/2 x))))
(+.f64 0 (*.f64 (-.f64 1 x) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 x) (neg.f64 (*.f64 x (/.f64 1/2 x))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (*.f64 x (/.f64 1/2 x)) 1))) (fma.f64 (neg.f64 (*.f64 x (/.f64 1/2 x))) 1 (*.f64 (*.f64 x (/.f64 1/2 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 1/2 x) x))) (fma.f64 (neg.f64 (/.f64 1/2 x)) x (*.f64 (/.f64 1/2 x) x)))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (*.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (*.f64 x 2))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (cbrt.f64 x) (*.f64 x 2)) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x 2)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 x 2))) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x 2)) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 x x) 1/2))) (fma.f64 (neg.f64 (/.f64 x x)) 1/2 (*.f64 (/.f64 x x) 1/2)))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) (*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) (cbrt.f64 (*.f64 x (/.f64 1/2 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x)))) (*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) (cbrt.f64 (*.f64 x (/.f64 1/2 x)))) (*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) (*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) (cbrt.f64 (*.f64 x (/.f64 1/2 x)))))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 x 2) (/.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 x 2)) (/.f64 1 x) (*.f64 (/.f64 x 2) (/.f64 1 x))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (*.f64 x 2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (*.f64 x 2)))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 x (cbrt.f64 (*.f64 x 2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (*.f64 x 2)))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (*.f64 x 2)))) (/.f64 1 (sqrt.f64 (*.f64 x 2))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (*.f64 x 2))))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) x)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (*.f64 (/.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 2))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 x 2)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 x 2))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 x 2))))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x 2)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 x 2))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x 2)) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 1 (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x 2)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/2 x)) (neg.f64 (*.f64 (*.f64 x (/.f64 1/2 x)) 1))) (fma.f64 (neg.f64 (*.f64 x (/.f64 1/2 x))) 1 (*.f64 (*.f64 x (/.f64 1/2 x)) 1)))
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(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1)
(*.f64 1 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(log.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1))
(+.f64 0 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(*.f64 x (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 (/.f64 x (-.f64 1 x)) (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (/.f64 x (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3))
(*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (-.f64 1 x) 3)))
(*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3/2) (pow.f64 (/.f64 x (-.f64 1 x)) 3/2))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) 3) (/.f64 x (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 3))
(*.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1) (/.f64 x (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) x) (/.f64 1 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (sqrt.f64 (/.f64 x (-.f64 1 x)))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(/.f64 1 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))
(/.f64 1 (pow.f64 (/.f64 (-.f64 1 x) x) 3))
(/.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (/.f64 (-.f64 1 x) x))
(/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3))
(/.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (neg.f64 (-.f64 1 x)) 3))
(/.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 (-.f64 1 x) 3)))
(/.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1) (/.f64 (-.f64 1 x) x))
(/.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) x) (-.f64 1 x))
(/.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (neg.f64 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 x (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (-.f64 1 x))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (neg.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 x (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (-.f64 1 x)))) 1))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(+.f64 0 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3))) (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8))) 1)
(/.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (-.f64 1 x) 3))
(/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (-.f64 1 x) 3))
(pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8) 1)
(pow.f64 (*.f64 (/.f64 x (-.f64 1 x)) (cbrt.f64 8)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3/2) (sqrt.f64 8)) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 6) 64))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8)))
(exp.f64 (fma.f64 3 (log.f64 (/.f64 x (-.f64 1 x))) (log.f64 8)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 (/.f64 x (-.f64 1 x))) (log.f64 8)) 1))
Outputs
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2 x)))
(*.f64 x (fma.f64 2 x 2))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (fma.f64 x (fma.f64 2 x 2) 2))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 x 2)) (+.f64 2 (/.f64 2 x)))
(+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) (pow.f64 x 2)) (+.f64 -2 (/.f64 -2 x)))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -2)
(fma.f64 -1 (/.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))) x) -2)
(/.f64 1/2 x)
(/.f64 (+.f64 1/2 (*.f64 -1/2 x)) x)
(/.f64 (+.f64 (*.f64 x -1/2) 1/2) x)
(/.f64 (fma.f64 x -1/2 1/2) x)
(/.f64 (+.f64 1/2 (*.f64 -1/2 x)) x)
(/.f64 (+.f64 (*.f64 x -1/2) 1/2) x)
(/.f64 (fma.f64 x -1/2 1/2) x)
(/.f64 (+.f64 1/2 (*.f64 -1/2 x)) x)
(/.f64 (+.f64 (*.f64 x -1/2) 1/2) x)
(/.f64 (fma.f64 x -1/2 1/2) x)
-1/2
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(+.f64 (/.f64 1/2 x) -1/2)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(+.f64 (/.f64 1/2 x) -1/2)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(+.f64 (/.f64 1/2 x) -1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(+.f64 (/.f64 1/2 x) -1/2)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(+.f64 (/.f64 1/2 x) -1/2)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/2)
(+.f64 (/.f64 1/2 x) -1/2)
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3)))
(*.f64 x (fma.f64 (pow.f64 x 2) 2/3 2))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) 2/5)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/5 2/3) 2))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 (pow.f64 x 2) 2/7)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/7 2/5) 2/3) 2))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (log.f64 -1)))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x)))
(-.f64 (log.f64 -1) (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x))
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 3 x)))
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x 3)))
(*.f64 (pow.f64 x 3) (fma.f64 x 3 1))
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 3 (*.f64 6 x)))))
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 3 (*.f64 x 6)))))
(*.f64 (pow.f64 x 3) (fma.f64 x (fma.f64 x 6 3) 1))
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 3 (*.f64 x (+.f64 6 (*.f64 10 x)))))))
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 3 (*.f64 x (+.f64 6 (*.f64 x 10)))))))
(*.f64 (pow.f64 x 3) (fma.f64 x (fma.f64 x (fma.f64 x 10 6) 3) 1))
-1
(*.f64 -1 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 6 (/.f64 1 x))) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 3 (/.f64 6 x)) x) -1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 10 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 3 (/.f64 1 x))))
(-.f64 (neg.f64 (/.f64 (+.f64 6 (/.f64 10 x)) (pow.f64 x 2))) (+.f64 1 (/.f64 3 x)))
(fma.f64 -1 (/.f64 (+.f64 6 (/.f64 10 x)) (pow.f64 x 2)) (+.f64 -1 (/.f64 -3 x)))
-1
(*.f64 -1 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 6 (/.f64 1 x))) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 3 (/.f64 6 x)) x) -1)
(-.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 6 (/.f64 1 x)) (/.f64 10 (pow.f64 x 2)))) x)) 1)
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x
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(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (fma.f64 x (+.f64 x 1) 1) (/.f64 x (-.f64 1 (pow.f64 x 3))))
(*.f64 x (/.f64 (fma.f64 x (+.f64 x 1) 1) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 x (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))
(/.f64 (+.f64 x (pow.f64 x 2)) (-.f64 1 (pow.f64 x 2)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(/.f64 x (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(fabs.f64 (/.f64 x (-.f64 1 x)))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(/.f64 x (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(/.f64 x (-.f64 1 x))
(+.f64 0 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8))
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3))) (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8))) 1)
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)))
(/.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (-.f64 1 x) 3))
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)
(/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (-.f64 1 x) 3))
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8) 1)
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)
(pow.f64 (*.f64 (/.f64 x (-.f64 1 x)) (cbrt.f64 8)) 3)
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8) 3) 1/3)
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3/2) (sqrt.f64 8)) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 6) 64))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 (/.f64 x (-.f64 1 x)) 3)))
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8))))
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8) 3))
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8)))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 8)))
(*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 3)
(exp.f64 (fma.f64 3 (log.f64 (/.f64 x (-.f64 1 x))) (log.f64 8)))
(*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (exp.f64 (log.f64 8)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 (/.f64 x (-.f64 1 x))) (log.f64 8)) 1))
(exp.f64 (fma.f64 3 (log.f64 (/.f64 x (-.f64 1 x))) (log.f64 8)))
(*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (exp.f64 (log.f64 8)))

eval770.0ms (9.4%)

Compiler

Compiled 28238 to 22959 computations (18.7% saved)

prune260.0ms (3.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New8301831
Fresh000
Picked112
Done246
Total8336839
Accuracy
100.0%
Counts
839 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) (log1p.f64 (-.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 2) (/.f64 (*.f64 2 x) (-.f64 1 x))))))
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (*.f64 2 x) (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))))
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
99.7%
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
97.3%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 83 to 70 computations (15.7% saved)

localize458.0ms (5.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
99.7%
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))
Compiler

Compiled 39 to 33 computations (15.4% saved)

series155.0ms (1.9%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
151.0ms
x
@inf
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))
1.0ms
x
@0
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
1.0ms
x
@inf
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
1.0ms
x
@0
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))
1.0ms
x
@-inf
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))

rewrite86.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1058×unpow-prod-down
605×log1p-expm1-u
605×expm1-log1p-u
574×log-prod
364×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
113748
2169448
Stop Event
node limit
Counts
2 → 89
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
Outputs
(+.f64 0 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 1)
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 1)
(*.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (+.f64 1/2 (neg.f64 (/.f64 1/2 x)))))
(*.f64 -1 (pow.f64 (/.f64 1 (+.f64 1/2 (neg.f64 (/.f64 1/2 x)))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) 1) -1))
(*.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2) (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2))
(*.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) 1) -1))
(*.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x -3) -1/8)) (-.f64 (fma.f64 1/4 (pow.f64 x -2) 1/4) (/.f64 -1/4 x)))
(*.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x -3) -1/8)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 x -2) 1/4) (/.f64 -1/4 x))) -1))
(*.f64 (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1/2 x) 1/2))
(*.f64 (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) -1/4)) (pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) 1/2)) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(*.f64 (pow.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x -3) -1/8)) 1) (-.f64 (fma.f64 1/4 (pow.f64 x -2) 1/4) (/.f64 -1/4 x)))
(*.f64 (pow.f64 (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) -1/4)) 1) (+.f64 (/.f64 1/2 x) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2)))
(pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))) 3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -2)
(pow.f64 (neg.f64 (+.f64 1/2 (neg.f64 (/.f64 1/2 x)))) -1)
(neg.f64 (/.f64 -1 (+.f64 (/.f64 1/2 x) -1/2)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (/.f64 1/2 x) -1/2))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2))) 1) 1))
(fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2)) -1)
(+.f64 0 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2))) (log.f64 (hypot.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(*.f64 1 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 1)
(*.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2) 3) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 2))
(log.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 1) 1))

simplify169.0ms (2.1%)

Algorithm
egg-herbie
Rules
1492×fma-define
820×unswap-sqr
566×log-prod
534×*-commutative
496×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02993647
17723471
221193429
377023429
Stop Event
node limit
Counts
113 → 171
Calls
Call 1
Inputs
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2 x)))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 x 2))))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(+.f64 0 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 1)
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 1)
(*.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (+.f64 1/2 (neg.f64 (/.f64 1/2 x)))))
(*.f64 -1 (pow.f64 (/.f64 1 (+.f64 1/2 (neg.f64 (/.f64 1/2 x)))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) 1) -1))
(*.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2) (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2))
(*.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) 1) -1))
(*.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x -3) -1/8)) (-.f64 (fma.f64 1/4 (pow.f64 x -2) 1/4) (/.f64 -1/4 x)))
(*.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x -3) -1/8)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 x -2) 1/4) (/.f64 -1/4 x))) -1))
(*.f64 (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1/2 x) 1/2))
(*.f64 (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) -1/4)) (pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) 1/2)) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(*.f64 (pow.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x -3) -1/8)) 1) (-.f64 (fma.f64 1/4 (pow.f64 x -2) 1/4) (/.f64 -1/4 x)))
(*.f64 (pow.f64 (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) -1/4)) 1) (+.f64 (/.f64 1/2 x) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2)))
(pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))) 3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) -2)
(pow.f64 (neg.f64 (+.f64 1/2 (neg.f64 (/.f64 1/2 x)))) -1)
(neg.f64 (/.f64 -1 (+.f64 (/.f64 1/2 x) -1/2)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (/.f64 1/2 x) -1/2))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2))) 1) 1))
(fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2)) -1)
(+.f64 0 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2))) (log.f64 (hypot.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(*.f64 1 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 1)
(*.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2) 3) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 2))
(log.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 1) 1))
Outputs
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2 x)))
(*.f64 x (fma.f64 2 x 2))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (fma.f64 x (fma.f64 2 x 2) 2))
(*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (+.f64 2 (*.f64 2 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2))
(*.f64 x (*.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 2 x 2)))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 x 2)) (+.f64 2 (/.f64 2 x)))
(+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) (pow.f64 x 2)) (+.f64 -2 (/.f64 -2 x)))
(*.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (/.f64 -1 (pow.f64 x 2))))
-2
(*.f64 -1 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -2)
(fma.f64 -1 (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) 2)) x) -2)
(+.f64 -2 (/.f64 (+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 2))) x))
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3)))
(*.f64 x (fma.f64 (pow.f64 x 2) 2/3 2))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) 2/5)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/5 2/3) 2))
(*.f64 x (fma.f64 (pow.f64 x 2) 2/3 (fma.f64 2/5 (pow.f64 x 4) 2)))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 2/7 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 2/5 (*.f64 (pow.f64 x 2) 2/7)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/7 2/5) 2/3) 2))
(*.f64 x (fma.f64 (pow.f64 x 2) 2/3 (fma.f64 (fma.f64 (pow.f64 x 2) 2/7 2/5) (pow.f64 x 4) 2)))
(log.f64 -1)
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(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 -1 (+.f64 (/.f64 1/2 x) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 1)
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (/.f64 -1 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 1 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 1)
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) (log.f64 (exp.f64 1)))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2) 3) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 3))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))))))
(pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 1)
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 3)
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 2) 1/2)
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3) 1/3)
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2)
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 2))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 1))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 3))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 1/3))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 1) 1))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log1p.f64 (/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x))))

eval69.0ms (0.8%)

Compiler

Compiled 2940 to 2625 computations (10.7% saved)

prune27.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1701171
Fresh000
Picked011
Done145
Total1716177
Accuracy
100.0%
Counts
177 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 1/2 (-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (*.f64 2 x) (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))))
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
99.7%
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
97.3%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 217 to 185 computations (14.7% saved)

regimes30.0ms (0.4%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3))))
(*.f64 1/2 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (*.f64 2 x) (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))))
(*.f64 1/2 (-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))))
(*.f64 1/2 (-.f64 (log1p.f64 (*.f64 8 (pow.f64 (/.f64 x (-.f64 1 x)) 3))) (log1p.f64 (-.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 2) (/.f64 (*.f64 2 x) (-.f64 1 x))))))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (*.f64 2 x) (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))))
Calls

4 calls:

11.0ms
x
7.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
6.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
6.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
100.0%1(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
100.0%1(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes22.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) 2/3))))
(*.f64 1/2 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Calls

4 calls:

6.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
6.0ms
x
5.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
5.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
100.0%1(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
100.0%1(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes4.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 2 x)))))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 2 x)))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
97.3%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
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 -2))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
036189
157189
264189
368189
470189
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (*.f64 2 x) (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (*.f64 2 x) (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 62 to 53 computations (14.5% saved)

soundness996.0ms (12.1%)

Rules
1310×unpow-prod-down
1310×unpow-prod-down
1292×fma-neg
1242×log-prod
1098×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
113154
2176154
04966925
112916737
248486665
01254
113154
2176154
019166
1233154
23138154
083512110
1227610328
2759610328
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 645 to 522 computations (19.1% saved)

end0.0ms (0%)

preprocess129.0ms (1.6%)

Compiler

Compiled 136 to 114 computations (16.2% saved)

Profiling

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