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)

sample976.0ms (14.1%)

Results
968.0ms8256×256valid
Bogosity

preprocess378.0ms (5.5%)

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
1280-0-(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
710-0-(sqrt.f64 (+.f64 (*.f64 x x) 1))
00-0-x
00-0-(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
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-(fabs.f64 x)
00-0-1
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
▶53.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 10 to 7 computations (30% saved)

localize147.0ms (2.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓53.5%
(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))

rewrite187.0ms (2.7%)

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))

simplify132.0ms (1.9%)

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))

eval134.0ms (1.9%)

Compiler

Compiled 4519 to 3179 computations (29.7% saved)

prune42.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New22513238
Fresh000
Picked101
Done000
Total22613239
Accuracy
100.0%
Counts
239 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
50.6%
(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)
9.6%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶31.0%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶65.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶56.9%
(copysign.f64 (log1p.f64 x) x)
28.6%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
▶27.3%
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
25.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
28.5%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶24.8%
(copysign.f64 (log.f64 (+.f64 x x)) x)
10.8%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
9.6%
(copysign.f64 (log.f64 (neg.f64 x)) x)
Compiler

Compiled 272 to 190 computations (30.1% saved)

localize153.0ms (2.2%)

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

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New000
Fresh088
Picked055
Done000
Total01313
Accuracy
100.0%
Counts
13 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.2%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
▶50.6%
(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)
▶9.6%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
✓31.0%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓65.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓56.9%
(copysign.f64 (log1p.f64 x) x)
▶28.6%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓27.3%
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
25.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
28.5%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓24.8%
(copysign.f64 (log.f64 (+.f64 x x)) x)
10.8%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
▶9.6%
(copysign.f64 (log.f64 (neg.f64 x)) x)
Compiler

Compiled 233 to 165 computations (29.2% saved)

localize556.0ms (8%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (pow.f64 x 2) (+.f64 1 x))
✓100.0%
(/.f64 3 (+.f64 1 x))
✓100.0%
(*.f64 -1/24 (pow.f64 x 4))
✓100.0%
(*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) (*.f64 -1/24 (pow.f64 x 4)))
✓100.0%
(/.f64 (pow.f64 x 2) (+.f64 1 x))
Compiler

Compiled 250 to 170 computations (32% saved)

series6.0ms (0.1%)

Counts
5 → 48
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (pow.f64 x 2) (+.f64 1 x))
1.0ms
x
@0
(*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) (*.f64 -1/24 (pow.f64 x 4)))
1.0ms
x
@0
(*.f64 -1/24 (pow.f64 x 4))
0.0ms
x
@inf
(*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) (*.f64 -1/24 (pow.f64 x 4)))
0.0ms
x
@-inf
(*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) (*.f64 -1/24 (pow.f64 x 4)))

rewrite145.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1104×fma-def
900×log1p-expm1-u
899×expm1-log1p-u
448×expm1-udef
448×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020146
1284142
24074142
Stop Event
1×node limit
Counts
5 → 136
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) (+.f64 1 x))
(*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(/.f64 3 (+.f64 1 x))
(/.f64 (pow.f64 x 2) (+.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 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.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 (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.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)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.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 (sqrt.f64 (+.f64 x 1))) 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 x 6) (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 (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 3 (+.f64 x 1))) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(+.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 3 (pow.f64 (+.f64 x 1) -2))) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 3 (+.f64 x 1))))
(+.f64 (*.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -1/24 (pow.f64 x 4))) (*.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (*.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 -1/24 (pow.f64 x 4))) (*.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))))) 1)
(/.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 3 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) 3))) (pow.f64 (+.f64 x 1) 3))
(/.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3)))) (-.f64 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (/.f64 9 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4)))) (+.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -3 (pow.f64 (+.f64 x 1) -2))))
(/.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) 3)) (*.f64 -1/24 (pow.f64 x 4))) (pow.f64 (+.f64 x 1) 3))
(/.f64 (*.f64 (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3))) (*.f64 -1/24 (pow.f64 x 4))) (-.f64 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (/.f64 9 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (*.f64 (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -3 (pow.f64 (+.f64 x 1) -2))))
(pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) -1/24)) (pow.f64 x 2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) 3) (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) (pow.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 3 (+.f64 x 1)) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(fma.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 3 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 -1/24)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (+.f64 x 1)))) 1)
(*.f64 1 (/.f64 3 (+.f64 x 1)))
(*.f64 3 (/.f64 1 (+.f64 x 1)))
(*.f64 (/.f64 3 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) 2) (cbrt.f64 (/.f64 3 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) (sqrt.f64 (/.f64 3 (+.f64 x 1))))
(*.f64 -3 (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 x 1)) 3)
(*.f64 (/.f64 3 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.f64 (/.f64 3 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(pow.f64 (/.f64 3 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) 3)
(pow.f64 (/.f64 27 (pow.f64 (+.f64 x 1) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) 2)
(pow.f64 (*.f64 (+.f64 x 1) 1/3) -1)
(sqrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (/.f64 3 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (+.f64 x 1)))))
(cbrt.f64 (/.f64 27 (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 3 (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 3) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 3) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 3 (+.f64 x 1))))
(-.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 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.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 (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.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)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.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 (sqrt.f64 (+.f64 x 1))) 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 x 6) (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))))

simplify128.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1514×fma-def
1446×distribute-lft-in
1428×distribute-rgt-in
978×times-frac
408×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03186587
17596381
230116251
Stop Event
1×node limit
Counts
184 → 203
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))))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 3/8 (pow.f64 x 5)))
(+.f64 (*.f64 -1/2 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 3/8 (pow.f64 x 5))))
(+.f64 (*.f64 -1/2 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) (*.f64 5/8 (pow.f64 x 7)))))
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x)) 1/4)
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/8 x) (*.f64 3/8 (/.f64 1 x)))) 1/4)
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x)) 1/4)
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/8 x) (*.f64 3/8 (/.f64 1 x)))) 1/4)
3
(+.f64 3 (*.f64 -3 x))
(+.f64 3 (+.f64 (*.f64 -3 x) (*.f64 3 (pow.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 -3 (pow.f64 x 3)) (*.f64 3 (pow.f64 x 2)))))
(/.f64 3 x)
(-.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 (pow.f64 x 4)))))
(/.f64 3 x)
(-.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 (pow.f64 x 4)))))
(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))))
(-.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 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.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 (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.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)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.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 (sqrt.f64 (+.f64 x 1))) 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 x 6) (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 (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 3 (+.f64 x 1))) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(+.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 3 (pow.f64 (+.f64 x 1) -2))) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 3 (+.f64 x 1))))
(+.f64 (*.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -1/24 (pow.f64 x 4))) (*.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (*.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 -1/24 (pow.f64 x 4))) (*.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))))) 1)
(/.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 3 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) 3))) (pow.f64 (+.f64 x 1) 3))
(/.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3)))) (-.f64 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (/.f64 9 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4)))) (+.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -3 (pow.f64 (+.f64 x 1) -2))))
(/.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) 3)) (*.f64 -1/24 (pow.f64 x 4))) (pow.f64 (+.f64 x 1) 3))
(/.f64 (*.f64 (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3))) (*.f64 -1/24 (pow.f64 x 4))) (-.f64 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (/.f64 9 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (*.f64 (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -3 (pow.f64 (+.f64 x 1) -2))))
(pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) -1/24)) (pow.f64 x 2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) 3) (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) (pow.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 3 (+.f64 x 1)) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(fma.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 3 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 -1/24)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (+.f64 x 1)))) 1)
(*.f64 1 (/.f64 3 (+.f64 x 1)))
(*.f64 3 (/.f64 1 (+.f64 x 1)))
(*.f64 (/.f64 3 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) 2) (cbrt.f64 (/.f64 3 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) (sqrt.f64 (/.f64 3 (+.f64 x 1))))
(*.f64 -3 (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 x 1)) 3)
(*.f64 (/.f64 3 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.f64 (/.f64 3 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(pow.f64 (/.f64 3 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) 3)
(pow.f64 (/.f64 27 (pow.f64 (+.f64 x 1) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) 2)
(pow.f64 (*.f64 (+.f64 x 1) 1/3) -1)
(sqrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (/.f64 3 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (+.f64 x 1)))))
(cbrt.f64 (/.f64 27 (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 3 (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 3) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 3) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 3 (+.f64 x 1))))
(-.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 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.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 (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.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)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.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 (sqrt.f64 (+.f64 x 1))) 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 x 6) (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))))
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 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))
(*.f64 (pow.f64 x 2) (fma.f64 x (+.f64 x -1) 1))
(+.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))
(-.f64 (*.f64 (pow.f64 x 2) (fma.f64 x (+.f64 x -1) 1)) (pow.f64 x 5))
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 1 x) (+.f64 1 (/.f64 1 (pow.f64 x 2)))))
(+.f64 x (+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -1 (pow.f64 x 2)))))
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 1 x) (+.f64 1 (/.f64 1 (pow.f64 x 2)))))
(+.f64 x (+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -1 (pow.f64 x 2)))))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -1/4)
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 3/8 (pow.f64 x 5)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 5) 3/8))
(fma.f64 (pow.f64 x 4) -1/4 (*.f64 (pow.f64 x 5) 3/8))
(+.f64 (*.f64 -1/2 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 3/8 (pow.f64 x 5))))
(fma.f64 -1/2 (pow.f64 x 6) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 5) 3/8)))
(fma.f64 -1/2 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) -1/4 (*.f64 (pow.f64 x 5) 3/8)))
(fma.f64 (pow.f64 x 4) -1/4 (fma.f64 (pow.f64 x 5) 3/8 (*.f64 -1/2 (pow.f64 x 6))))
(+.f64 (*.f64 -1/2 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) (*.f64 5/8 (pow.f64 x 7)))))
(fma.f64 -1/2 (pow.f64 x 6) (fma.f64 -1/4 (pow.f64 x 4) (fma.f64 3/8 (pow.f64 x 5) (*.f64 5/8 (pow.f64 x 7)))))
(fma.f64 -1/2 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 (pow.f64 x 5) 3/8 (*.f64 5/8 (pow.f64 x 7)))))
(fma.f64 -1/2 (pow.f64 x 6) (fma.f64 (pow.f64 x 5) 3/8 (fma.f64 (pow.f64 x 4) -1/4 (*.f64 5/8 (pow.f64 x 7)))))
(*.f64 -1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/8)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x))
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 x 1/8))
(fma.f64 (pow.f64 x 3) -1/8 (*.f64 x 1/8))
(fma.f64 x 1/8 (*.f64 (pow.f64 x 3) -1/8))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x)) 1/4)
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (*.f64 x 1/8)) -1/4)
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x 1/8 -1/4))
(fma.f64 x 1/8 (fma.f64 (pow.f64 x 3) -1/8 -1/4))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/8 x) (*.f64 3/8 (/.f64 1 x)))) 1/4)
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/8 x (/.f64 3/8 x))) -1/4)
(+.f64 -1/4 (fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x 1/8 (/.f64 3/8 x))))
(+.f64 (fma.f64 x 1/8 (/.f64 3/8 x)) (fma.f64 (pow.f64 x 3) -1/8 -1/4))
(*.f64 -1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/8)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x))
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 x 1/8))
(fma.f64 (pow.f64 x 3) -1/8 (*.f64 x 1/8))
(fma.f64 x 1/8 (*.f64 (pow.f64 x 3) -1/8))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x)) 1/4)
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (*.f64 x 1/8)) -1/4)
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x 1/8 -1/4))
(fma.f64 x 1/8 (fma.f64 (pow.f64 x 3) -1/8 -1/4))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/8 x) (*.f64 3/8 (/.f64 1 x)))) 1/4)
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/8 x (/.f64 3/8 x))) -1/4)
(+.f64 -1/4 (fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x 1/8 (/.f64 3/8 x))))
(+.f64 (fma.f64 x 1/8 (/.f64 3/8 x)) (fma.f64 (pow.f64 x 3) -1/8 -1/4))
3
(+.f64 3 (*.f64 -3 x))
(+.f64 3 (*.f64 x -3))
(fma.f64 x -3 3)
(+.f64 3 (+.f64 (*.f64 -3 x) (*.f64 3 (pow.f64 x 2))))
(+.f64 3 (fma.f64 -3 x (*.f64 (pow.f64 x 2) 3)))
(+.f64 3 (fma.f64 x -3 (*.f64 (pow.f64 x 2) 3)))
(fma.f64 x -3 (fma.f64 (pow.f64 x 2) 3 3))
(+.f64 3 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 -3 (pow.f64 x 3)) (*.f64 3 (pow.f64 x 2)))))
(+.f64 3 (fma.f64 -3 x (fma.f64 -3 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 3))))
(+.f64 3 (fma.f64 x -3 (fma.f64 (pow.f64 x 2) 3 (*.f64 (pow.f64 x 3) -3))))
(fma.f64 -3 (+.f64 x (pow.f64 x 3)) (fma.f64 (pow.f64 x 2) 3 3))
(/.f64 3 x)
(-.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 2)))
(+.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (+.f64 (/.f64 3 (pow.f64 x 2)) (/.f64 3 (pow.f64 x 4)))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 -3 (pow.f64 x 2)) (/.f64 -3 (pow.f64 x 4)))))
(/.f64 3 x)
(-.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 2)))
(+.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (+.f64 (/.f64 3 (pow.f64 x 2)) (/.f64 3 (pow.f64 x 4)))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 -3 (pow.f64 x 2)) (/.f64 -3 (pow.f64 x 4)))))
(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 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))
(*.f64 (pow.f64 x 2) (fma.f64 x (+.f64 x -1) 1))
(+.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))
(-.f64 (*.f64 (pow.f64 x 2) (fma.f64 x (+.f64 x -1) 1)) (pow.f64 x 5))
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 1 x) (+.f64 1 (/.f64 1 (pow.f64 x 2)))))
(+.f64 x (+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -1 (pow.f64 x 2)))))
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 1 x) (+.f64 1 (/.f64 1 (pow.f64 x 2)))))
(+.f64 x (+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -1 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)))) 1)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x 1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 1 (/.f64 (pow.f64 x 2) (+.f64 x 1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 1)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1))))
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(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) 3) (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3)))
(*.f64 (*.f64 (pow.f64 x 4) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) (pow.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) 3)))
(*.f64 (*.f64 (pow.f64 x 4) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 (*.f64 (pow.f64 x 4) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(exp.f64 (log.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 (*.f64 (pow.f64 x 4) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(*.f64 (*.f64 (pow.f64 x 4) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 (*.f64 (pow.f64 x 4) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(fma.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 (*.f64 (pow.f64 x 4) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(fma.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 (*.f64 (pow.f64 x 4) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(fma.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 3 (+.f64 x 1)) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(*.f64 (*.f64 (pow.f64 x 4) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(fma.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 3 (+.f64 x 1))))
(*.f64 (*.f64 (pow.f64 x 4) -1/24) (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/8) (/.f64 -1/8 (+.f64 x 1))))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(*.f64 (pow.f64 x 4) -1/24)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(*.f64 (pow.f64 x 4) -1/24)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(*.f64 (pow.f64 x 4) -1/24)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(*.f64 (pow.f64 x 4) -1/24)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/24)) 2)
(*.f64 (pow.f64 x 4) -1/24)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))
(*.f64 (pow.f64 x 4) -1/24)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 4) -1/24)
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(*.f64 (pow.f64 x 4) -1/24)
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -1/24)
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 -1/24)))
(*.f64 (pow.f64 x 4) -1/24)
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -1/24)) 1))
(*.f64 (pow.f64 x 4) -1/24)
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -1/24)
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (+.f64 x 1)))) 1)
(/.f64 3 (+.f64 x 1))
(*.f64 1 (/.f64 3 (+.f64 x 1)))
(/.f64 3 (+.f64 x 1))
(*.f64 3 (/.f64 1 (+.f64 x 1)))
(/.f64 3 (+.f64 x 1))
(*.f64 (/.f64 3 (+.f64 x 1)) 1)
(/.f64 3 (+.f64 x 1))
(*.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) 2))
(/.f64 3 (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) 2) (cbrt.f64 (/.f64 3 (+.f64 x 1))))
(/.f64 3 (+.f64 x 1))
(*.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) (sqrt.f64 (/.f64 3 (+.f64 x 1))))
(/.f64 3 (+.f64 x 1))
(*.f64 -3 (/.f64 1 (+.f64 (neg.f64 x) -1)))
(/.f64 -3 (+.f64 -1 (neg.f64 x)))
(/.f64 -3 (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 x 1)) 3)
(/.f64 3 (+.f64 x 1))
(*.f64 (/.f64 3 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.f64 (fma.f64 x (+.f64 x -1) 1) (/.f64 3 (+.f64 (pow.f64 x 3) 1)))
(/.f64 3 (/.f64 (+.f64 (pow.f64 x 3) 1) (fma.f64 x (+.f64 x -1) 1)))
(*.f64 (/.f64 3 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 3 (-.f64 1 (pow.f64 x 2))))
(/.f64 (*.f64 3 (-.f64 1 x)) (-.f64 1 (pow.f64 x 2)))
(pow.f64 (/.f64 3 (+.f64 x 1)) 1)
(/.f64 3 (+.f64 x 1))
(pow.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) 3)
(/.f64 3 (+.f64 x 1))
(pow.f64 (/.f64 27 (pow.f64 (+.f64 x 1) 3)) 1/3)
(cbrt.f64 (/.f64 27 (pow.f64 (+.f64 x 1) 3)))
(pow.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) 2)
(/.f64 3 (+.f64 x 1))
(pow.f64 (*.f64 (+.f64 x 1) 1/3) -1)
(/.f64 3 (+.f64 x 1))
(sqrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (/.f64 3 (+.f64 x 1))))
(/.f64 3 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (+.f64 x 1)))))
(/.f64 3 (+.f64 x 1))
(cbrt.f64 (/.f64 27 (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 3 (+.f64 x 1))))
(/.f64 3 (+.f64 x 1))
(exp.f64 (-.f64 (log.f64 3) (log1p.f64 x)))
(/.f64 3 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 3) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log.f64 3) (log1p.f64 x)))
(/.f64 3 (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 3 (+.f64 x 1))))
(/.f64 3 (+.f64 x 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)))) 1)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x 1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 1 (/.f64 (pow.f64 x 2) (+.f64 x 1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 1)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.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 x 2) (+.f64 x 1))
(*.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 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(/.f64 (neg.f64 (pow.f64 x 2)) (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.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 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) 1)) (fma.f64 x (+.f64 x -1) 1))
(/.f64 (pow.f64 x 2) (/.f64 (+.f64 (pow.f64 x 3) 1) (fma.f64 x (+.f64 x -1) 1)))
(*.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)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) 3)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 3) 1/3)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(pow.f64 (/.f64 (+.f64 x 1) (pow.f64 x 2)) -1)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(neg.f64 (/.f64 (pow.f64 x 2) (+.f64 (neg.f64 x) -1)))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(/.f64 (neg.f64 (pow.f64 x 2)) (-.f64 -1 x))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(fabs.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 3))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1) 3)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(/.f64 (pow.f64 x 2) (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(/.f64 (pow.f64 x 2) (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))

eval230.0ms (3.3%)

Compiler

Compiled 8577 to 6437 computations (25% saved)

prune49.0ms (0.7%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New2682270
Fresh033
Picked235
Done055
Total27013283
Accuracy
100.0%
Counts
283 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.3%
(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1))) (log1p.f64 x)) x)
▶50.5%
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) -1/4)) x)
✓9.6%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
✓31.0%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓65.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓56.9%
(copysign.f64 (log1p.f64 x) x)
✓28.6%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓27.3%
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
▶25.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
▶28.5%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓24.8%
(copysign.f64 (log.f64 (+.f64 x x)) x)
▶10.8%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
✓9.6%
(copysign.f64 (log.f64 (neg.f64 x)) x)
Compiler

Compiled 187 to 128 computations (31.6% saved)

localize589.0ms (8.5%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) -1/4))
✓100.0%
(*.f64 (pow.f64 x 4) -1/4)
88.7%
(/.f64 (pow.f64 x 2) (+.f64 1 x))
✓100.0%
(+.f64 x (hypot.f64 1 x))
✓76.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓76.5%
(log.f64 (+.f64 1 x))
Compiler

Compiled 203 to 128 computations (36.9% saved)

series6.0ms (0.1%)

Counts
5 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms
x
@0
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) -1/4))
0.0ms
x
@inf
(*.f64 (pow.f64 x 4) -1/4)

rewrite149.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1392×fma-def
929×log1p-expm1-u
928×expm1-log1p-u
474×expm1-udef
474×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024127
1291123
23956123
Stop Event
1×node limit
Counts
5 → 150
Calls
Call 1
Inputs
(log.f64 (+.f64 1 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 x 4) -1/4)
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) -1/4))
Outputs
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 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))) (log1p.f64 (neg.f64 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 (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 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 (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)))))
(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 (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 (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 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))
(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)) 3) 1/3)
(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 (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 x 1 (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.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 x) (pow.f64 (cbrt.f64 x) 2) (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 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/4))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/4) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/4)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/64) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/16))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/4))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/4)))
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 -1/4)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -1/4)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 1/16) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4)))))
(*.f64 1 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))
(*.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 x 4) -1/4) (-.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (pow.f64 x 8) 1/16)) (/.f64 1 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x 4) -1/4) (-.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2)) (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (pow.f64 x 8) 1/16))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3)) (fma.f64 (*.f64 (pow.f64 x 4) -1/4) (-.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3)) (fma.f64 (pow.f64 x 8) 1/16 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (pow.f64 x 8) 1/16)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x 4) -1/4) (-.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (pow.f64 x 8) 1/16))) (neg.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/16) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2)) (-.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))
(pow.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(fma.f64 1 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) -1/4))
(fma.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (*.f64 (pow.f64 x 4) -1/4) 1 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 2) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (/.f64 (pow.f64 x 2) (+.f64 1 x)) 1/2 (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 1 (*.f64 (pow.f64 x 4) -1/4))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 (pow.f64 x 4)) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2) (*.f64 (pow.f64 x 4) -1/4))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (*.f64 (pow.f64 x 4) -1/4))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/4)) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/16)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/16)) (cbrt.f64 (*.f64 (pow.f64 x 4) -1/4)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (sqrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (*.f64 (pow.f64 x 4) -1/4))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/4)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1/4)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (cbrt.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x))))) (cbrt.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 1 (+.f64 1 x)) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (*.f64 1/2 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 x) 2)))) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 1 x))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 x))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (pow.f64 x 2) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (*.f64 -1/4 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))

simplify131.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
602×associate-+l-
522×cancel-sign-sub-inv
502×associate-+r-
460×log-prod
454×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04619059
111018844
235238588
Stop Event
1×node limit
Counts
210 → 316
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.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 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (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 (+.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 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (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 (+.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)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (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 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 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 (*.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 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 -1/4 (pow.f64 x 4))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -3/10 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -3/10 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 6)))))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/2 x))) 1/2)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 1/2 x) (*.f64 3/2 (/.f64 1 x))))) 1/2)
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/2 x))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/2 x)))) 1/2)
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 1/2 x) (*.f64 3/2 (/.f64 1 x)))))) 1/2)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 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))) (log1p.f64 (neg.f64 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 (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 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 (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)))))
(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 (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 (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 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))
(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)) 3) 1/3)
(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 (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 x 1 (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.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 x) (pow.f64 (cbrt.f64 x) 2) (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 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/4))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/4) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/4)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/64) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/16))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/4))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/4)))
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 -1/4)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -1/4)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 1/16) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4)))))
(*.f64 1 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))
(*.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 x 4) -1/4) (-.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (pow.f64 x 8) 1/16)) (/.f64 1 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x 4) -1/4) (-.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2)) (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (pow.f64 x 8) 1/16))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3)) (fma.f64 (*.f64 (pow.f64 x 4) -1/4) (-.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3)) (fma.f64 (pow.f64 x 8) 1/16 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (pow.f64 x 8) 1/16)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x 4) -1/4) (-.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (pow.f64 x 8) 1/16))) (neg.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/16) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2)) (-.f64 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))
(pow.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(fma.f64 1 (*.f64 (pow.f64 x 4) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) -1/4))
(fma.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (*.f64 (pow.f64 x 4) -1/4) 1 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 2) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (/.f64 (pow.f64 x 2) (+.f64 1 x)) 1/2 (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 1 (*.f64 (pow.f64 x 4) -1/4))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 (pow.f64 x 4)) -1/4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2) (*.f64 (pow.f64 x 4) -1/4))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (*.f64 (pow.f64 x 4) -1/4))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/4)) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/16)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/16)) (cbrt.f64 (*.f64 (pow.f64 x 4) -1/4)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (sqrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (*.f64 (pow.f64 x 4) -1/4))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/4)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1/4)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (cbrt.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x))))) (cbrt.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 1 (+.f64 1 x)) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (*.f64 1/2 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 x) 2)))) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 1 x))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 x))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (pow.f64 x 2) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (*.f64 -1/4 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
Outputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 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 1/3 (pow.f64 x 3))))
(+.f64 x (*.f64 (pow.f64 x 2) (+.f64 -1/2 (*.f64 x 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 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4))))
(*.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 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3))) (/.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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (log.f64 -1) (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))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (-.f64 (log.f64 -1) (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 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 3/40 (pow.f64 x 5))))
(+.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 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (fma.f64 3/40 (pow.f64 x 5) (*.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 (+.f64 (log.f64 x) (log.f64 2)) (-.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 (log.f64 x) (-.f64 (+.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 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (pow.f64 x 2))))
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x
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(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (fma.f64 -1/4 (pow.f64 x 4) (log1p.f64 x)))
(fma.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 1 (+.f64 1 x)) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (fma.f64 -1/4 (pow.f64 x 4) (log1p.f64 x)))
(fma.f64 (*.f64 1/2 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 x) 2)))) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 1 x))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (*.f64 1/2 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) (+.f64 (log1p.f64 x) (*.f64 -1/4 (pow.f64 x 4))))
(fma.f64 (*.f64 1/2 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) (fma.f64 -1/4 (pow.f64 x 4) (log1p.f64 x)))
(fma.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 x))) (+.f64 (log1p.f64 x) (*.f64 (pow.f64 x 4) -1/4)))
(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (fma.f64 -1/4 (pow.f64 x 4) (log1p.f64 x)))
(fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (pow.f64 x 2) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (fma.f64 -1/4 (pow.f64 x 4) (log1p.f64 x)))
(fma.f64 (*.f64 -1/4 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 -1/4 (cbrt.f64 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))

eval302.0ms (4.4%)

Compiler

Compiled 7681 to 5550 computations (27.7% saved)

prune65.0ms (0.9%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New3803383
Fresh000
Picked325
Done358
Total38610396
Accuracy
100.0%
Counts
396 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
✓31.0%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓56.9%
(copysign.f64 (log1p.f64 x) x)
27.3%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓28.6%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓25.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
✓28.5%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓24.8%
(copysign.f64 (log.f64 (+.f64 x x)) x)
✓9.6%
(copysign.f64 (log.f64 (neg.f64 x)) x)
52.6%
(copysign.f64 x x)
Compiler

Compiled 274 to 174 computations (36.5% saved)

regimes78.0ms (1.1%)

Counts
20 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 (neg.f64 (log.f64 (/.f64 -1 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 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) 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 (fma.f64 1/2 (*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1))) (log1p.f64 x)) 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 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) -1/4)) 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 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

2 calls:

65.0ms
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
13 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 (neg.f64 (log.f64 (/.f64 -1 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 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 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
99.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.3%)

Counts
12 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 (neg.f64 (log.f64 (/.f64 -1 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 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) 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:

20.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.3%)

Counts
11 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 (neg.f64 (log.f64 (/.f64 -1 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 (log1p.f64 (fabs.f64 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:

20.0ms
x
Results
AccuracySegmentsBranch
99.7%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 (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 (neg.f64 (log.f64 (/.f64 -1 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
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 (neg.f64 (log.f64 (/.f64 -1 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:

13.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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:

12.0ms
x
Results
AccuracySegmentsBranch
81.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes80.0ms (1.2%)

Counts
4 → 2
Calls
Call 1
Inputs
(copysign.f64 x 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:

79.0ms
x
Results
AccuracySegmentsBranch
65.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
58.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
52.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.2448064800387902e-10
6.773433739498747
0.0ms
-5.48682907664909
-1.0411212263427747e-5
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch101.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.2448071516788204e-10
437.1538754056574
78.0ms
-120.74305175095283
-1.0411212263670439e-5
Results
97.0ms304×256valid
Compiler

Compiled 407 to 288 computations (29.2% saved)

bsearch94.0ms (1.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
1.2448071516788204e-10
437.1538754056574
69.0ms
-120.74305175095283
-1.0411212263670439e-5
Results
90.0ms304×256valid
Compiler

Compiled 427 to 298 computations (30.2% saved)

bsearch49.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
1.2448071516788204e-10
437.1538754056574
24.0ms
-120.74305175095283
-1.0411212263670439e-5
Results
44.0ms304×256valid
Compiler

Compiled 418 to 298 computations (28.7% saved)

bsearch48.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1.2448071516788204e-10
437.1538754056574
22.0ms
-120.74305175095283
-1.0411212263670439e-5
Results
44.0ms304×256valid
Compiler

Compiled 378 to 268 computations (29.1% saved)

bsearch50.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
1.2448071516788204e-10
437.1538754056574
23.0ms
-120.74305175095283
-1.0411212263670439e-5
Results
47.0ms304×256valid
Compiler

Compiled 264 to 173 computations (34.5% saved)

bsearch47.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
1.2448071516788204e-10
437.1538754056574
22.0ms
-120.74305175095283
-1.0411212263670439e-5
Results
44.0ms304×256valid
Compiler

Compiled 255 to 164 computations (35.7% saved)

bsearch76.0ms (1.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
76.0ms
-120.74305175095283
-1.0411212263670439e-5
Results
74.0ms144×256valid
Compiler

Compiled 134 to 93 computations (30.6% saved)

bsearch37.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
1.2448071516788204e-10
437.1538754056574
Results
35.0ms160×256valid
Compiler

Compiled 127 to 82 computations (35.4% saved)

simplify17.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
084969
1101969
2107969
3109969
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) -5) (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) 7737125245533627/38685626227668133590597632) (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 (fabs.f64 x) x)) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (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 (fabs.f64 x) 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 (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) -5) (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) 7737125245533627/38685626227668133590597632) (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 (fabs.f64 x) x)) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (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 (fabs.f64 x) 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 (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)
Compiler

Compiled 266 to 173 computations (35% saved)

soundness1.4s (21%)

Rules
1002×prod-diff
1002×prod-diff
714×distribute-lft-in
714×distribute-lft-in
714×distribute-lft-in
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
04619059
111018844
235238588
03727022
19456574
228315720
03727022
19456574
228315720
03727022
19456574
228315720
03727022
19456574
228315720
03727022
19456574
228315720
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 725 to 466 computations (35.7% saved)

end0.0ms (0%)

preprocess149.0ms (2.2%)

Compiler

Compiled 582 to 330 computations (43.3% saved)

Profiling

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