Rust f64::asinh

Time bar (total: 5.5s)

analyze0.0ms (0%)

Algorithm
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)

sample643.0ms (11.6%)

Results
633.0ms8256×body256valid
Bogosity

preprocess162.0ms (2.9%)

Algorithm
egg-herbie
Rules
134×fma-def
24×unsub-neg
24×sub-neg
20×neg-mul-1
18×distribute-lft-in
Problems
118×(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
78×(sqrt.f64 (+.f64 (*.f64 x x) 1))
60×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
12972
23472
33772
44572
55272
66472
77772
89172
910372
1014672
1120472
1222372
1324372
1425172
1525572
Stop Event
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 64 to 34 computations (46.9% 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
57.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
57.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 20 to 14 computations (30% saved)

localize107.0ms (1.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
57.4%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
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)))

rewrite102.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1002×prod-diff
632×unpow-prod-down
481×log1p-expm1-u
481×expm1-log1p-u
438×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
111723
2154723
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(log.f64 (+.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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.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 x 3) (pow.f64 (hypot.f64 1 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))

simplify105.0ms (1.9%)

Algorithm
egg-herbie
Rules
1376×fma-def
1046×times-frac
610×log-prod
582×fma-neg
476×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02153060
15382944
216412647
358152521
Stop Event
node limit
Counts
61 → 114
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 (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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.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 x 3) (pow.f64 (hypot.f64 1 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))
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)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.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))))))
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(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))

eval48.0ms (0.9%)

Compiler

Compiled 2345 to 1647 computations (29.8% saved)

prune39.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New10212114
Fresh000
Picked101
Done000
Total10312115
Accuracy
99.7%
Counts
115 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.1%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (log1p.f64 x))) x)
46.7%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
31.1%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
10.5%
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
10.0%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
30.8%
(copysign.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))) x)
10.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
62.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
53.4%
(copysign.f64 (log1p.f64 x) x)
31.1%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
20.1%
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
46.1%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (log1p.f64 x))) x)
46.7%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
31.1%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
10.5%
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
10.0%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
30.8%
(copysign.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))) x)
10.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
62.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
53.4%
(copysign.f64 (log1p.f64 x) x)
31.1%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
20.1%
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
Compiler

Compiled 620 to 456 computations (26.5% saved)

localize232.0ms (4.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
77.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 107 to 59 computations (44.9% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 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)))

rewrite53.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
924×prod-diff
614×unpow-prod-down
456×log1p-expm1-u
456×expm1-log1p-u
425×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
19623
2123823
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(log.f64 (+.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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 (*.f64 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 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.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 x 3) (pow.f64 (hypot.f64 1 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))

simplify64.0ms (1.2%)

Algorithm
egg-herbie
Rules
1106×fma-def
818×associate-+l-
624×fma-neg
620×sub-neg
598×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01952648
14632574
213522373
347102367
Stop Event
node limit
Counts
61 → 106
Calls
Call 1
Inputs
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)))))
(+.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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 (*.f64 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 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.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 x 3) (pow.f64 (hypot.f64 1 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))
Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) 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 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.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 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (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 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.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 (/.f64 1/4 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (+.f64 (log.f64 x) (/.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 1/4 (pow.f64 x 2)) (+.f64 (/.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 (+.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) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 2)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 -5/96 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 -5/96 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2)))) (log.f64 1/2)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(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 3 (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 3 (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 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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 3) (pow.f64 (hypot.f64 1 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 1 (-.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 -1) (log.f64 (-.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 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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 3) (pow.f64 (hypot.f64 1 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 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log1p.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) 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 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (hypot.f64 1 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 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 x (hypot.f64 1 x)) (neg.f64 (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)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.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)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(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)))))
(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 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(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)))))
(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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.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 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 8)))
(*.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))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(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 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))

eval40.0ms (0.7%)

Compiler

Compiled 1876 to 1406 computations (25.1% saved)

prune80.0ms (1.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1015106
Fresh437
Picked145
Done000
Total10612118
Accuracy
100.0%
Counts
118 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
28.7%
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
46.3%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
47.5%
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
10.0%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
30.8%
(copysign.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))) x)
10.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
62.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
53.4%
(copysign.f64 (log1p.f64 x) x)
31.1%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
48.1%
(copysign.f64 x x)
27.7%
(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
28.7%
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
46.3%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
47.5%
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
10.0%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
30.8%
(copysign.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))) x)
10.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
62.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
53.4%
(copysign.f64 (log1p.f64 x) x)
31.1%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
48.1%
(copysign.f64 x x)
Compiler

Compiled 432 to 314 computations (27.3% saved)

localize521.0ms (9.4%)

Compiler

Compiled 199 to 140 computations (29.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune10.0ms (0.2%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New000
Fresh033
Picked055
Done044
Total01212
Accuracy
100.0%
Counts
12 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
28.7%
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
46.3%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
47.5%
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
10.0%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
30.8%
(copysign.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))) x)
10.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
62.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
53.4%
(copysign.f64 (log1p.f64 x) x)
31.1%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
48.1%
(copysign.f64 x x)
27.7%
(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
28.7%
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
46.3%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
47.5%
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
10.0%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
30.8%
(copysign.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))) x)
10.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
62.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
53.4%
(copysign.f64 (log1p.f64 x) x)
31.1%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
48.1%
(copysign.f64 x x)
Compiler

Compiled 244 to 176 computations (27.9% saved)

localize529.0ms (9.5%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
99.9%
(*.f64 3/40 (pow.f64 x 5))
99.8%
(*.f64 -1/6 (pow.f64 x 3))
67.2%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
100.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
99.8%
(*.f64 -1/6 (pow.f64 x 3))
74.9%
(-.f64 (hypot.f64 1 x) x)
57.4%
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 121 to 88 computations (27.3% saved)

series7.0ms (0.1%)

Counts
8 → 36
Calls

24 calls:

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

rewrite124.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
970×log1p-expm1-u
970×expm1-log1p-u
476×expm1-udef
476×log1p-udef
194×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021190
1281186
24103186
Stop Event
node limit
Counts
8 → 215
Calls
Call 1
Inputs
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(*.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 3/40 (pow.f64 x 5))))
Outputs
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 2)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 1/36) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36))) (neg.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 x 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5)))))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600)) (/.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (*.f64 (pow.f64 x 10) 9/1600) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 10) 9/1600))) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (/.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (/.f64 1 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))))
(/.f64 1 (/.f64 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (pow.f64 x 2) (*.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))) (neg.f64 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (*.f64 (pow.f64 x 10) 9/1600)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (pow.f64 x 2)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))
(pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 3)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2))
(log.f64 (exp.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)

simplify126.0ms (2.3%)

Algorithm
egg-herbie
Rules
1562×fma-neg
710×log-prod
708×fma-def
614×div-sub
444×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052110437
1125510018
2478310016
Stop Event
node limit
Counts
251 → 333
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))))
(+.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)))))
(+.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))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.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))))
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
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(log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (/.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (/.f64 1 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))))
(/.f64 1 (/.f64 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (pow.f64 x 2) (*.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2))) (neg.f64 (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (*.f64 (pow.f64 x 10) 9/1600)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (pow.f64 x 2)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))
(pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 3)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2))
(log.f64 (exp.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1 x (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 -3/40 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))) x)
(-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3)))))
(-.f64 (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7)))) x)
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.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 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(-.f64 (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 2) (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 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.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 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 -1 x))) (/.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 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 x (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/8)) x))
(+.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/8)) (-.f64 1 x))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 5/128 (pow.f64 x 7)))) (/.f64 -1/8 (pow.f64 x 3)))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.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 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) (/.f64 1/16 (pow.f64 x 5)))
(-.f64 (fma.f64 x -2 (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 3/40 (pow.f64 x 5))
(*.f64 (pow.f64 x 5) 3/40)
(*.f64 3/40 (pow.f64 x 5))
(*.f64 (pow.f64 x 5) 3/40)
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(*.f64 3/40 (pow.f64 x 5))
(*.f64 (pow.f64 x 5) 3/40)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 (pow.f64 x 5) 3/40)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
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(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))) 1))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(log1p.f64 (expm1.f64 (+.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 (pow.f64 x 5) 3/40)))
(fma.f64 1 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 (pow.f64 x 5) 3/40)))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.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 (pow.f64 x 5) 3/40)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40))) x)
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)) 2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.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 (pow.f64 x 5) 3/40)))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))

eval409.0ms (7.4%)

Compiler

Compiled 6997 to 5325 computations (23.9% saved)

prune139.0ms (2.5%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New3424346
Fresh000
Picked033
Done369
Total34513358
Accuracy
100.0%
Counts
358 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
46.3%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
47.5%
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
10.0%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
31.8%
(copysign.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) x)
27.7%
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
10.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
31.8%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
28.5%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
28.4%
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
53.4%
(copysign.f64 (log1p.f64 x) x)
31.1%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
48.1%
(copysign.f64 x x)
Compiler

Compiled 377 to 262 computations (30.5% saved)

regimes132.0ms (2.4%)

Counts
23 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (log1p.f64 x))) x)
(copysign.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))) x)
Outputs
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

2 calls:

113.0ms
x
12.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
AccuracySegmentsBranch
99.8%3x
99.8%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 266 to 181 computations (32% saved)

regimes31.0ms (0.6%)

Counts
16 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
Outputs
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 126 to 83 computations (34.1% saved)

regimes47.0ms (0.9%)

Counts
13 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
Compiler

Compiled 93 to 60 computations (35.5% saved)

regimes93.0ms (1.7%)

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

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 76 to 49 computations (35.5% saved)

regimes20.0ms (0.4%)

Counts
7 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes15.0ms (0.3%)

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

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 37 to 24 computations (35.1% saved)

regimes12.0ms (0.2%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
80.6%2x
Compiler

Compiled 30 to 19 computations (36.7% saved)

regimes7.0ms (0.1%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
55.5%2x
Compiler

Compiled 16 to 9 computations (43.8% saved)

regimes24.0ms (0.4%)

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:

24.0ms
x
Results
AccuracySegmentsBranch
55.0%2x
Compiler

Compiled 10 to 5 computations (50% saved)

regimes3.0ms (0.1%)

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:

3.0ms
x
Results
AccuracySegmentsBranch
48.1%1x
Compiler

Compiled 6 to 3 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.934268212511977e-5
0.11416923895414104
0.0ms
-9.800402199859281
0.0
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch98.0ms (1.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
74.0ms
9.934268228861722e-5
0.11441742599818004
24.0ms
-9020.499750439489
-5.183156198342234e-19
Results
36.0ms304×body256valid
Compiler

Compiled 427 to 319 computations (25.3% saved)

bsearch45.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
9.934268228861722e-5
0.11441742599818004
29.0ms
-9020.499750439489
-5.183156198342234e-19
Results
41.0ms304×body256valid
Compiler

Compiled 449 to 330 computations (26.5% saved)

bsearch45.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.11441742599818004
8930263.387301289
26.0ms
-9020.499750439489
-5.183156198342234e-19
Results
40.0ms320×body256valid
Compiler

Compiled 461 to 345 computations (25.2% saved)

bsearch66.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
0.11441742599818004
8930263.387301289
46.0ms
-9020.499750439489
-5.183156198342234e-19
Results
62.0ms320×body256valid
Compiler

Compiled 417 to 312 computations (25.2% saved)

bsearch47.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
0.11441742599818004
8930263.387301289
25.0ms
-9020.499750439489
-5.183156198342234e-19
Results
43.0ms320×body256valid
Compiler

Compiled 297 to 212 computations (28.6% saved)

bsearch27.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-9020.499750439489
-5.183156198342234e-19
Results
25.0ms176×body256valid
Compiler

Compiled 182 to 133 computations (26.9% saved)

bsearch19.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.11441742599818004
8930263.387301289
Results
17.0ms144×body256valid
Compiler

Compiled 134 to 93 computations (30.6% saved)

bsearch19.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.11441742599818004
8930263.387301289
Results
17.0ms144×body256valid
Compiler

Compiled 116 to 75 computations (35.3% saved)

simplify19.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
093978
1114978
2125978
3132978
4135978
5136978
Stop Event
fuel
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 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 7378697629483821/73786976294838206464) (copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -3152519739159347/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 5854679515581645/9007199254740992) (copysign.f64 x x) (copysign.f64 (+.f64 1 (log.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 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 7378697629483821/73786976294838206464) (copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -3152519739159347/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 5854679515581645/9007199254740992) (copysign.f64 x x) (copysign.f64 (+.f64 1 (log.f64 x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 275 to 191 computations (30.5% saved)

soundness1.0s (18.7%)

Rules
1562×fma-neg
1562×fma-neg
1376×fma-def
1376×fma-def
1376×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
12972
23472
33772
44572
55272
66472
77772
89172
910372
1014672
1120472
1222372
1324372
1425172
1525572
01127
111723
2154723
02153060
15382944
216412647
358152521
02153060
15382944
216412647
358152521
02153060
15382944
216412647
358152521
01127
111723
2154723
02153060
15382944
216412647
358152521
052110437
1125510018
2478310016
052110437
1125510018
2478310016
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 864 to 590 computations (31.7% saved)

end0.0ms (0%)

preprocess188.0ms (3.4%)

Compiler

Compiled 600 to 398 computations (33.7% saved)

Profiling

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