Rust f64::asinh

Time bar (total: 6.9s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 4 to 3 computations (25% saved)

sample744.0ms (10.8%)

Results
735.0ms8256×256valid
Bogosity

preprocess343.0ms (5%)

Algorithm
1×egg-herbie
Rules
134×fma-def
26×sub-neg
24×unsub-neg
20×neg-mul-1
18×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-0-(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
610-0-(sqrt.f64 (+.f64 (*.f64 x x) 1))
00-0-x
00-0-(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
00-0-(+.f64 (*.f64 x x) 1)
00-0-(*.f64 x x)
00-0-(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
00-0-1
00-0-(fabs.f64 x)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
13272
23772
34072
44872
55572
66772
78072
89472
910672
1014972
1120772
1222672
1324872
1425672
1526072
Stop Event
1×saturated
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
(neg.f64 (asinh.f64 (neg.f64 x)))
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
(neg.f64 (asinh.f64 (neg.f64 x)))
Compiler

Compiled 115 to 59 computations (48.7% saved)

eval1.0ms (0%)

Compiler

Compiled 21 to 13 computations (38.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 10 to 7 computations (30% saved)

localize133.0ms (1.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓52.4%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms
x
@inf
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms
x
@-inf
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
0.0ms
x
@0
(+.f64 (fabs.f64 x) (hypot.f64 1 x))

rewrite193.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
1002×prod-diff
634×unpow-prod-down
480×log1p-expm1-u
480×expm1-log1p-u
438×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
112042
2155042
Stop Event
1×node limit
Counts
2 → 120
Calls
Call 1
Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))

simplify94.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
714×distribute-lft-in
692×associate-+r+
684×distribute-rgt-in
622×associate-+l+
568×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03727022
19456574
228315720
Stop Event
1×node limit
Counts
144 → 238
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (+.f64 (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (fabs.f64 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (fabs.f64 x) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (fabs.f64 x) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))))
x
(+.f64 x (fabs.f64 x))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))
Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
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(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval90.0ms (1.3%)

Compiler

Compiled 4519 to 3179 computations (29.7% saved)

prune44.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New22612238
Fresh000
Picked101
Done000
Total22712239
Accuracy
100.0%
Counts
239 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
51.8%
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) (*.f64 -1/24 (pow.f64 x 4)))) x)
14.7%
(copysign.f64 (*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) x)
▶28.9%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶58.4%
(copysign.f64 (log1p.f64 x) x)
▶25.2%
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
25.6%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
29.9%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶25.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
11.2%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
▶9.1%
(copysign.f64 (log.f64 (neg.f64 x)) x)
27.9%
(copysign.f64 (expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
Compiler

Compiled 276 to 196 computations (29% saved)

localize145.0ms (2.1%)

Compiler

Compiled 99 to 47 computations (52.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune9.0ms (0.1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New000
Fresh077
Picked055
Done000
Total01212
Accuracy
100.0%
Counts
12 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.4%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
51.8%
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) (*.f64 -1/24 (pow.f64 x 4)))) x)
▶14.7%
(copysign.f64 (*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) x)
✓28.9%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓58.4%
(copysign.f64 (log1p.f64 x) x)
✓25.2%
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
▶25.6%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
▶29.9%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓25.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
▶11.2%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
✓9.1%
(copysign.f64 (log.f64 (neg.f64 x)) x)
27.9%
(copysign.f64 (expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
Compiler

Compiled 237 to 171 computations (27.8% saved)

localize717.0ms (10.4%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (hypot.f64 1 x))
✓100.0%
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
✓99.7%
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
✓63.1%
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
✓100.0%
(+.f64 x (hypot.f64 1 x))
✓78.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓78.2%
(log.f64 (+.f64 1 x))
✓89.4%
(/.f64 (pow.f64 x 2) (+.f64 1 x))
Compiler

Compiled 166 to 107 computations (35.5% saved)

series11.0ms (0.2%)

Counts
8 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@0
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
1.0ms
x
@-inf
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
1.0ms
x
@inf
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
1.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))

rewrite147.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1694×prod-diff
1084×log1p-expm1-u
502×expm1-log1p-u
370×expm1-udef
368×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020171
1258171
23252171
Stop Event
1×node limit
Counts
8 → 234
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) (+.f64 1 x))
(log.f64 (+.f64 1 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(+.f64 x (hypot.f64 1 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)))) 1)
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x 1)))
(*.f64 1 (/.f64 (pow.f64 x 2) (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 x 2))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (pow.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 (pow.f64 x 2) 1) x))
(*.f64 (/.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 3) 1/3)
(pow.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) 2)
(pow.f64 (/.f64 (+.f64 x 1) (pow.f64 x 2)) -1)
(neg.f64 (/.f64 (pow.f64 x 2) (+.f64 (neg.f64 x) -1)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log.f64 (-.f64 1 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(*.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(*.f64 1/3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (*.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 2)) (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(*.f64 (*.f64 1/3 (sqrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (sqrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(+.f64 0 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 1)
(*.f64 1 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)
(*.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 2) (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (sqrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 3 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 2)
(sqrt.f64 (*.f64 9 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(+.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x))
(+.f64 (*.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) 3) (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))

simplify166.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
904×log-prod
864×exp-prod
728×cube-prod
684×fma-def
664×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057211935
1142010375
2555210375
Stop Event
1×node limit
Counts
330 → 415
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 2) (pow.f64 x 4))))
x
(-.f64 x 1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
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x
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1
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x
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1
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(/.f64 -1/8 (pow.f64 x 3))
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1
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(/.f64 -1/2 x)
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(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(+.f64 0 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 1)
(*.f64 1 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)
(*.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 2) (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (sqrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 3 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 2)
(sqrt.f64 (*.f64 9 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(+.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x))
(+.f64 (*.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) 3) (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 -1 (pow.f64 x 3) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 (fma.f64 -1 (pow.f64 x 3) (pow.f64 x 2)) (pow.f64 x 4))
(*.f64 (pow.f64 x 2) (fma.f64 x x (-.f64 1 x)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 2) (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 5) (+.f64 (pow.f64 x 2) (pow.f64 x 4))))
(-.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 5)) (pow.f64 x 3))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(+.f64 x (-.f64 (/.f64 1 x) 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(+.f64 x (-.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) 1))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(+.f64 x (-.f64 (/.f64 1 x) 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(+.f64 x (-.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) 1))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 x) (*.f64 (pow.f64 x 3) 1/3))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 x) (fma.f64 (pow.f64 x 4) -1/4 (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (/.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 x (fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 3/40))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (fma.f64 (pow.f64 x 5) 3/40 (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 x) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 2) 1/2)) (+.f64 x 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 3 x))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x 3))
(fma.f64 x 3 (*.f64 (pow.f64 x 3) -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 9/40 (pow.f64 x 5)) (*.f64 3 x)))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 9/40 (pow.f64 x 5) (*.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 x 3 (*.f64 (pow.f64 x 5) 9/40)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -15/112 (pow.f64 x 7)) (+.f64 (*.f64 9/40 (pow.f64 x 5)) (*.f64 3 x))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -15/112 (pow.f64 x 7) (fma.f64 9/40 (pow.f64 x 5) (*.f64 x 3))))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 7) -15/112 (fma.f64 x 3 (*.f64 (pow.f64 x 5) 9/40))))
(+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 8) (*.f64 (neg.f64 (log.f64 x)) -3))
(fma.f64 (neg.f64 (log.f64 x)) -3 (log.f64 8))
(+.f64 (log.f64 8) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 8) (fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 3/4 (pow.f64 x 2))))
(+.f64 (log.f64 8) (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 3/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 8) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
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(+.f64 (log.f64 8) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 3/4 (pow.f64 x 2))) (/.f64 -9/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 8) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 8) (-.f64 (fma.f64 -3 (neg.f64 (log.f64 x)) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (/.f64 5/32 (pow.f64 x 6)))) (/.f64 9/32 (pow.f64 x 4))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 3/4 (pow.f64 x 2))) (/.f64 5/32 (pow.f64 x 6))) (+.f64 (log.f64 8) (/.f64 -9/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x))))
(fma.f64 3 (log.f64 (/.f64 -1 x)) (log.f64 1/8))
(-.f64 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x)))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/8) (-.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (/.f64 3/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/8) (fma.f64 3 (log.f64 (/.f64 -1 x)) (/.f64 -3/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/8) (+.f64 (*.f64 9/32 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (log.f64 (/.f64 -1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 1/8) (/.f64 9/32 (pow.f64 x 4))) (*.f64 3 (log.f64 (/.f64 -1 x)))) (/.f64 3/4 (pow.f64 x 2)))
(+.f64 (+.f64 (/.f64 9/32 (pow.f64 x 4)) (log.f64 1/8)) (fma.f64 3 (log.f64 (/.f64 -1 x)) (/.f64 -3/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/8) (+.f64 (*.f64 9/32 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (log.f64 (/.f64 -1 x))))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (+.f64 (log.f64 1/8) (/.f64 9/32 (pow.f64 x 4))) (*.f64 3 (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (/.f64 5/32 (pow.f64 x 6))))
(+.f64 (log.f64 1/8) (-.f64 (+.f64 (/.f64 9/32 (pow.f64 x 4)) (fma.f64 3 (log.f64 (/.f64 -1 x)) (/.f64 -3/4 (pow.f64 x 2)))) (/.f64 5/32 (pow.f64 x 6))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 x (fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 3/40))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (fma.f64 (pow.f64 x 5) 3/40 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 1/3 (+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x)))))
(*.f64 1/3 (+.f64 (log.f64 8) (*.f64 (neg.f64 (log.f64 x)) -3)))
(fma.f64 1/3 (log.f64 8) (log.f64 x))
(+.f64 (*.f64 1/3 (+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 1/3 (+.f64 (log.f64 8) (*.f64 (neg.f64 (log.f64 x)) -3)) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (fma.f64 1/3 (log.f64 8) (log.f64 x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 1/3 (+.f64 (log.f64 8) (*.f64 (neg.f64 (log.f64 x)) -3)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (fma.f64 1/3 (log.f64 8) (log.f64 x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x))))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (fma.f64 1/3 (+.f64 (log.f64 8) (*.f64 (neg.f64 (log.f64 x)) -3)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (fma.f64 1/3 (log.f64 8) (log.f64 x)) (/.f64 -3/32 (pow.f64 x 4)))))
(*.f64 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x)))))
(fma.f64 1/3 (log.f64 1/8) (*.f64 1 (log.f64 (/.f64 -1 x))))
(-.f64 (*.f64 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x)))) (neg.f64 (/.f64 1/4 (pow.f64 x 2))))
(fma.f64 1/3 (fma.f64 3 (log.f64 (/.f64 -1 x)) (log.f64 1/8)) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (fma.f64 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x)))) (neg.f64 (/.f64 1/4 (pow.f64 x 2)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (fma.f64 1/3 (fma.f64 3 (log.f64 (/.f64 -1 x)) (log.f64 1/8)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (*.f64 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(-.f64 (fma.f64 1/3 (fma.f64 3 (log.f64 (/.f64 -1 x)) (log.f64 1/8)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (*.f64 x 3))
(fma.f64 x 3 1)
(+.f64 1 (+.f64 (*.f64 3 x) (*.f64 9/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 3 x (*.f64 (pow.f64 x 2) 9/2)))
(+.f64 (fma.f64 x 3 1) (*.f64 (pow.f64 x 2) 9/2))
(+.f64 1 (+.f64 (*.f64 3 x) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 3 x (fma.f64 4 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 9/2))))
(+.f64 (fma.f64 x 3 1) (fma.f64 (pow.f64 x 2) 9/2 (*.f64 (pow.f64 x 3) 4)))
(*.f64 8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 8)
(+.f64 (*.f64 6 x) (*.f64 8 (pow.f64 x 3)))
(fma.f64 6 x (*.f64 (pow.f64 x 3) 8))
(fma.f64 x 6 (*.f64 (pow.f64 x 3) 8))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 6 x) (*.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 6 x (*.f64 (pow.f64 x 3) 8)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x 6 (*.f64 (pow.f64 x 3) 8)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 6 x) (*.f64 8 (pow.f64 x 3)))) (*.f64 3/32 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 6 x (*.f64 (pow.f64 x 3) 8))) (/.f64 3/32 (pow.f64 x 5)))
(+.f64 (fma.f64 x 6 (*.f64 (pow.f64 x 3) 8)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -3/32 (pow.f64 x 5))))
(/.f64 -1/8 (pow.f64 x 3))
(-.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3/32 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 3/32 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 9/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 3/32 (pow.f64 x 5)) (/.f64 9/128 (pow.f64 x 7))) (/.f64 1/8 (pow.f64 x 3)))
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(/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) 3) (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 -1 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (/.f64 (-.f64 x (hypot.f64 1 x)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (/.f64 (-.f64 x (hypot.f64 1 x)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 3))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) (pow.f64 x 2)) (*.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (+.f64 (pow.f64 x 2) 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(fabs.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))

eval361.0ms (5.2%)

Compiler

Compiled 8704 to 6539 computations (24.9% saved)

prune80.0ms (1.2%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New4884492
Fresh112
Picked325
Done145
Total49311504
Accuracy
100.0%
Counts
504 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.0%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
▶53.1%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
▶53.5%
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
✓28.9%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓58.4%
(copysign.f64 (log1p.f64 x) x)
▶25.2%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓25.6%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
✓29.9%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓25.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
✓9.1%
(copysign.f64 (log.f64 (neg.f64 x)) x)
▶27.9%
(copysign.f64 (expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
Compiler

Compiled 152 to 107 computations (29.6% saved)

localize748.0ms (10.9%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
74.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓100.0%
(*.f64 3/40 (pow.f64 x 5))
✓100.0%
(*.f64 -1/6 (pow.f64 x 3))
✓100.0%
(*.f64 (pow.f64 x 3) -1/6)
✓99.9%
(*.f64 1/3 (*.f64 x 3))
Compiler

Compiled 163 to 118 computations (27.6% saved)

series4.0ms (0.1%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 -1/6 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 (pow.f64 x 3) -1/6)
1.0ms
x
@0
(*.f64 3/40 (pow.f64 x 5))
0.0ms
x
@inf
(*.f64 (pow.f64 x 3) -1/6)
0.0ms
x
@-inf
(*.f64 3/40 (pow.f64 x 5))

rewrite84.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
730×log-prod
546×log1p-expm1-u
546×expm1-log1p-u
544×exp-prod
492×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01764
118452
2186152
Stop Event
1×node limit
Counts
4 → 88
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
Outputs
(+.f64 0 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (*.f64 1/3 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 1 x) 1)
(pow.f64 x 1)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (pow.f64 x 2) 1/2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (cbrt.f64 (pow.f64 x 2)) 3/2)
(pow.f64 (pow.f64 x 9) 1/9)
(pow.f64 (pow.f64 x 3/2) 2/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 x 2))) 3/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(log1p.f64 (expm1.f64 x))
(+.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -1/6)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -1/6)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(-.f64 (+.f64 1 (*.f64 3/40 (pow.f64 x 5))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)
(pow.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5)))) 2)) (cbrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))) (sqrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5)))))
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(cbrt.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 3/40 (pow.f64 x 5)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40))) 2))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))

simplify82.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
820×fma-def
816×log-prod
810×unswap-sqr
598×sqr-pow
590×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01891953
14281850
212221850
350991850
Stop Event
1×node limit
Counts
112 → 78
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 0 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (*.f64 1/3 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 1 x) 1)
(pow.f64 x 1)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (pow.f64 x 2) 1/2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (cbrt.f64 (pow.f64 x 2)) 3/2)
(pow.f64 (pow.f64 x 9) 1/9)
(pow.f64 (pow.f64 x 3/2) 2/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 x 2))) 3/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(log1p.f64 (expm1.f64 x))
(+.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -1/6)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -1/6)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(-.f64 (+.f64 1 (*.f64 3/40 (pow.f64 x 5))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)
(pow.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5)))) 2)) (cbrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))) (sqrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5)))))
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(cbrt.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 3/40 (pow.f64 x 5)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40))) 2))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 0 x)
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (*.f64 1/3 x))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 x)))) (*.f64 x 1/3))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 x))) (*.f64 x 1/3))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 1 x) 1)
x
(pow.f64 x 1)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (pow.f64 x 2) 1/2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (cbrt.f64 (pow.f64 x 2)) 3/2)
x
(pow.f64 (pow.f64 x 9) 1/9)
(*.f64 (pow.f64 (pow.f64 x 9) 1/18) (pow.f64 (pow.f64 x 9) 1/18))
(pow.f64 (pow.f64 x 3/2) 2/3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 x 2))) 3/2))
x
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
x
(log1p.f64 (expm1.f64 x))
x
(+.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -1/6)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9)) 1/3))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -1/6)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9)) 1/3))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (+.f64 1 (*.f64 3/40 (pow.f64 x 5))) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 1/3)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (E.f64) (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5)))) 2)) (cbrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))) (sqrt.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40))))
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(*.f64 3/40 (pow.f64 x 5))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(cbrt.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))
(*.f64 3/40 (pow.f64 x 5))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5)))) 3))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 3/40 (pow.f64 x 5)))) 1/3))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40))) 2))
(*.f64 3/40 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))

eval83.0ms (1.2%)

Compiler

Compiled 2217 to 1681 computations (24.2% saved)

prune43.0ms (0.6%)

Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New1411142
Fresh000
Picked055
Done066
Total14112153
Accuracy
100.0%
Counts
153 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.0%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
✓53.1%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
✓53.5%
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
✓28.9%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓58.4%
(copysign.f64 (log1p.f64 x) x)
✓25.2%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓25.6%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
✓29.9%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓25.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
✓9.1%
(copysign.f64 (log.f64 (neg.f64 x)) x)
✓27.9%
(copysign.f64 (expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
53.7%
(copysign.f64 x x)
Compiler

Compiled 292 to 195 computations (33.2% saved)

regimes41.0ms (0.6%)

Counts
19 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) (*.f64 -1/24 (pow.f64 x 4)))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

2 calls:

28.0ms
x
12.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.3%)

Counts
12 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.3%)

Counts
11 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.2%)

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

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.3%)

Counts
6 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
82.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
66.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
60.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.2b remaining (-0.6%)

Threshold costs -0.2b (-0.6%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
53.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00025056801654174335
2.393405147639733
0.0ms
-2.166709574436301
-7.013500891137444e-12
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch44.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.000250568019163726
5.429700571154969
24.0ms
-4.307479495490059
-7.013576387738709e-12
Results
40.0ms288×256valid
Compiler

Compiled 405 to 292 computations (27.9% saved)

bsearch300.0ms (4.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
272.0ms
0.000250568019163726
5.429700571154969
28.0ms
-4.307479495490059
-7.013576387738709e-12
Results
296.0ms288×256valid
Compiler

Compiled 375 to 272 computations (27.5% saved)

bsearch47.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.000250568019163726
5.429700571154969
28.0ms
-4.307479495490059
-7.013576387738709e-12
Results
42.0ms288×256valid
Compiler

Compiled 391 to 280 computations (28.4% saved)

bsearch45.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.000250568019163726
5.429700571154969
27.0ms
-4.307479495490059
-7.013576387738709e-12
Results
41.0ms288×256valid
Compiler

Compiled 359 to 256 computations (28.7% saved)

bsearch41.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.000250568019163726
5.429700571154969
23.0ms
-4.307479495490059
-7.013576387738709e-12
Results
37.0ms288×256valid
Compiler

Compiled 251 to 166 computations (33.9% saved)

bsearch43.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.000250568019163726
5.429700571154969
23.0ms
-4.307479495490059
-7.013576387738709e-12
Results
40.0ms288×256valid
Compiler

Compiled 241 to 156 computations (35.3% saved)

bsearch26.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
-4.307479495490059
-7.013576387738709e-12
Results
24.0ms160×256valid
Compiler

Compiled 147 to 102 computations (30.6% saved)

bsearch18.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.000250568019163726
5.429700571154969
Results
16.0ms128×256valid
Compiler

Compiled 105 to 68 computations (35.2% saved)

simplify18.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
20×+-commutative
8×*-commutative
6×sub-neg
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091980
1111980
2116980
3118980
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 1152921504606847/2305843009213693952) (copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4104400556400375/4611686018427387904) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 1152921504606847/2305843009213693952) (copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4104400556400375/4611686018427387904) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4104400556400375/4611686018427387904) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 271 to 179 computations (33.9% saved)

soundness1.5s (22%)

Rules
1002×prod-diff
1002×prod-diff
1002×prod-diff
904×log-prod
904×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
13272
23772
34072
44872
55572
66772
78072
89472
910672
1014972
1120772
1222672
1324872
1425672
1526072
01150
112042
2155042
03727022
19456574
228315720
01150
112042
2155042
03727022
19456574
228315720
01150
112042
2155042
057211935
1142010375
2555210375
03727022
19456574
228315720
03727022
19456574
228315720
03727022
19456574
228315720
057211935
1142010375
2555210375
03727022
19456574
228315720
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 822 to 532 computations (35.3% saved)

end0.0ms (0%)

preprocess291.0ms (4.2%)

Compiler

Compiled 592 to 354 computations (40.2% saved)

Profiling

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