Rust f32::asinh

Time bar (total: 7.0s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
100%99.6%0%0.4%0%0%0%1
Compiler

Compiled 4 to 3 computations (25% saved)

sample1.2s (16.6%)

Results
1.1s8256×body256valid
Bogosity

preprocess168.0ms (2.4%)

Algorithm
egg-herbie
Rules
67×fma-def
13×sub-neg
12×unsub-neg
10×neg-mul-1
distribute-lft-in
Problems
124×(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))
73×No Errors
59×(sqrt.f32 (+.f32 (*.f32 x x) 1))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
13272
23772
34072
44872
55572
66772
78072
89472
910672
1014972
1120772
1222672
1324872
1425672
1526072
Stop Event
saturated
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(asinh.f32 x)
(asinh.f32 (neg.f32 x))
(neg.f32 (asinh.f32 (neg.f32 x)))
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(asinh.f32 x)
(asinh.f32 (neg.f32 x))
(neg.f32 (asinh.f32 (neg.f32 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
62.5%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
62.5%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
Compiler

Compiled 20 to 14 computations (30% saved)

localize89.0ms (1.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(+.f32 (fabs.f32 x) (hypot.f32 1 x))
62.5%
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
1.0ms
x
@0
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
1.0ms
x
@inf
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
0.0ms
x
@inf
(+.f32 (fabs.f32 x) (hypot.f32 1 x))
0.0ms
x
@-inf
(+.f32 (fabs.f32 x) (hypot.f32 1 x))

rewrite184.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
501×prod-diff
480×log1p-expm1-u
480×expm1-log1p-u
402×pow1
317×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
112042
2155042
Stop Event
node limit
Counts
2 → 120
Calls
Call 1
Inputs
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
(+.f32 (fabs.f32 x) (hypot.f32 1 x))
Outputs
(+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (/.f32 1 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(+.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (log.f32 (/.f32 1 (-.f32 x (hypot.f32 1 x)))))
(-.f32 0 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))))
(-.f32 0 (log.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (+.f32 (fma.f32 x x 1) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x))))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))) (log.f32 (neg.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(-.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))) (log.f32 (neg.f32 (-.f32 x (hypot.f32 1 x)))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x 1) (pow.f32 x 2))) (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 1/3 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)))
(*.f32 (pow.f32 1 1/3) (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) 3) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(pow.f32 (E.f32) (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))))
(neg.f32 (log.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (pow.f32 x 2) (-.f32 x (hypot.f32 1 x))) (/.f32 (fma.f32 x x 1) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (+.f32 x (hypot.f32 1 x)) (log.f32 (E.f32)))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(*.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (E.f32) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (E.f32) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 1 1/3) (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) 3) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 1 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (fma.f32 x x 1) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (fma.f32 x x 1) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (pow.f32 (E.f32) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (E.f32))
(/.f32 (pow.f32 (E.f32) (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))) (pow.f32 (E.f32) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(/.f32 (pow.f32 (E.f32) (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))) (pow.f32 (E.f32) (log.f32 (-.f32 x (hypot.f32 1 x)))))
(/.f32 (exp.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (E.f32))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(pow.f32 (exp.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(pow.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) -1)
(pow.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) -1)
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(exp.f32 (*.f32 (log.f32 (E.f32)) (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 x 1 (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (hypot.f32 1 x) 1 x)
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) x)
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (fabs.f32 (cbrt.f32 x)) (hypot.f32 1 x))

simplify108.0ms (1.5%)

Algorithm
egg-herbie
Rules
357×distribute-lft-in
346×associate-+r+
342×distribute-rgt-in
311×associate-+l+
284×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03727022
19456574
228315720
Stop Event
node limit
Counts
144 → 238
Calls
Call 1
Inputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (+.f32 (*.f32 -1/24 (*.f32 (pow.f32 x 4) (+.f32 (*.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (*.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))))))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (+.f32 (*.f32 -1/24 (*.f32 (pow.f32 x 4) (+.f32 (*.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (*.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))))) (+.f32 (*.f32 1/720 (*.f32 (pow.f32 x 6) (+.f32 (*.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (+.f32 (*.f32 45 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (*.f32 45 (/.f32 1 (+.f32 1 (fabs.f32 x)))))))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/6 (/.f32 (+.f32 (*.f32 -3 (fabs.f32 x)) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (/.f32 (fabs.f32 x) x))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (*.f32 -1 (/.f32 (fabs.f32 x) x)) (*.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (*.f32 -1 (/.f32 (fabs.f32 x) x)) (+.f32 (*.f32 -1/6 (/.f32 (+.f32 (*.f32 -3 (fabs.f32 x)) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (*.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))))
(+.f32 1 (fabs.f32 x))
(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 1/2 (pow.f32 x 2))))
(+.f32 1 (+.f32 (fabs.f32 x) (+.f32 (*.f32 -1/8 (pow.f32 x 4)) (*.f32 1/2 (pow.f32 x 2)))))
(+.f32 1 (+.f32 (fabs.f32 x) (+.f32 (*.f32 -1/8 (pow.f32 x 4)) (+.f32 (*.f32 1/16 (pow.f32 x 6)) (*.f32 1/2 (pow.f32 x 2))))))
x
(+.f32 x (fabs.f32 x))
(+.f32 x (+.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 x (+.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x)))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(*.f32 -1 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(-.f32 (+.f32 (fabs.f32 x) (*.f32 -1 x)) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 -1 x) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (/.f32 1 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(+.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (log.f32 (/.f32 1 (-.f32 x (hypot.f32 1 x)))))
(-.f32 0 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))))
(-.f32 0 (log.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (+.f32 (fma.f32 x x 1) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x))))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))) (log.f32 (neg.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(-.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))) (log.f32 (neg.f32 (-.f32 x (hypot.f32 1 x)))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x 1) (pow.f32 x 2))) (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 1/3 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)))
(*.f32 (pow.f32 1 1/3) (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) 3) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(pow.f32 (E.f32) (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))))
(neg.f32 (log.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (pow.f32 x 2) (-.f32 x (hypot.f32 1 x))) (/.f32 (fma.f32 x x 1) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (+.f32 x (hypot.f32 1 x)) (log.f32 (E.f32)))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(*.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (E.f32) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (E.f32) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 1 1/3) (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) 3) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 1 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (fma.f32 x x 1) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (fma.f32 x x 1) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (pow.f32 (E.f32) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (E.f32))
(/.f32 (pow.f32 (E.f32) (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))) (pow.f32 (E.f32) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(/.f32 (pow.f32 (E.f32) (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))) (pow.f32 (E.f32) (log.f32 (-.f32 x (hypot.f32 1 x)))))
(/.f32 (exp.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (E.f32))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(pow.f32 (exp.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(pow.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) -1)
(pow.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) -1)
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(exp.f32 (*.f32 (log.f32 (E.f32)) (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 x 1 (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (hypot.f32 1 x) 1 x)
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) x)
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (fabs.f32 (cbrt.f32 x)) (hypot.f32 1 x))
Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))))
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x
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(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (fabs.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (*.f32 (log.f32 (E.f32)) (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 x 1 (hypot.f32 1 x))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (hypot.f32 1 x) 1 x)
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) x)
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (hypot.f32 1 x))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (fabs.f32 (cbrt.f32 x)) (hypot.f32 1 x))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))

eval93.0ms (1.3%)

Compiler

Compiled 4519 to 3179 computations (29.7% saved)

prune87.0ms (1.2%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New21028238
Fresh000
Picked101
Done000
Total21128239
Accuracy
99.6%
Counts
239 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
39.7%
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
13.6%
(copysign.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 x x)) x)
48.2%
(copysign.f32 (+.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) (fma.f32 -1/24 (*.f32 (pow.f32 x 4) (+.f32 (/.f32 3 (+.f32 1 x)) (/.f32 3 (pow.f32 (+.f32 1 x) 2)))) (*.f32 (+.f32 (/.f32 30 (pow.f32 (+.f32 1 x) 3)) (+.f32 (/.f32 45 (pow.f32 (+.f32 1 x) 2)) (/.f32 45 (+.f32 1 x)))) (*.f32 1/720 (pow.f32 x 6))))) x)
48.6%
(copysign.f32 (+.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) (*.f32 (+.f32 (/.f32 3 (+.f32 1 x)) (/.f32 3 (pow.f32 (+.f32 1 x) 2))) (*.f32 -1/24 (pow.f32 x 4)))) x)
50.5%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))) (*.f32 -1/24 (*.f32 (pow.f32 x 4) (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))))) x)
14.0%
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
39.0%
(copysign.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32))) x)
38.7%
(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
25.4%
(copysign.f32 (*.f32 1/3 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))) x)
23.3%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))) x)
14.6%
(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
42.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
39.8%
(copysign.f32 (log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)) x)
67.1%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
55.0%
(copysign.f32 (log1p.f32 x) x)
41.3%
(copysign.f32 (log.f32 (/.f32 -1 (-.f32 x (hypot.f32 1 x)))) x)
39.2%
(copysign.f32 (log.f32 (-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)) x)
29.5%
(copysign.f32 (log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x))) x)
25.4%
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
39.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
25.1%
(copysign.f32 (log.f32 (+.f32 x x)) x)
21.0%
(copysign.f32 (log.f32 (+.f32 1 (fma.f32 1/2 (pow.f32 x 2) x))) x)
32.6%
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
20.7%
(copysign.f32 (log.f32 (+.f32 1 x)) x)
14.6%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.1%
(copysign.f32 (log.f32 x) x)
34.8%
(copysign.f32 (expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
49.6%
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
39.7%
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
13.6%
(copysign.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 x x)) x)
48.2%
(copysign.f32 (+.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) (fma.f32 -1/24 (*.f32 (pow.f32 x 4) (+.f32 (/.f32 3 (+.f32 1 x)) (/.f32 3 (pow.f32 (+.f32 1 x) 2)))) (*.f32 (+.f32 (/.f32 30 (pow.f32 (+.f32 1 x) 3)) (+.f32 (/.f32 45 (pow.f32 (+.f32 1 x) 2)) (/.f32 45 (+.f32 1 x)))) (*.f32 1/720 (pow.f32 x 6))))) x)
48.6%
(copysign.f32 (+.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) (*.f32 (+.f32 (/.f32 3 (+.f32 1 x)) (/.f32 3 (pow.f32 (+.f32 1 x) 2))) (*.f32 -1/24 (pow.f32 x 4)))) x)
50.5%
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))) (*.f32 -1/24 (*.f32 (pow.f32 x 4) (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))))) x)
14.0%
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
39.0%
(copysign.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32))) x)
38.7%
(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
25.4%
(copysign.f32 (*.f32 1/3 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))) x)
23.3%
(copysign.f32 (neg.f32 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))) x)
14.6%
(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
42.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
39.8%
(copysign.f32 (log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)) x)
67.1%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
55.0%
(copysign.f32 (log1p.f32 x) x)
41.3%
(copysign.f32 (log.f32 (/.f32 -1 (-.f32 x (hypot.f32 1 x)))) x)
39.2%
(copysign.f32 (log.f32 (-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)) x)
29.5%
(copysign.f32 (log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x))) x)
25.4%
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
39.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
25.1%
(copysign.f32 (log.f32 (+.f32 x x)) x)
21.0%
(copysign.f32 (log.f32 (+.f32 1 (fma.f32 1/2 (pow.f32 x 2) x))) x)
32.6%
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
20.7%
(copysign.f32 (log.f32 (+.f32 1 x)) x)
14.6%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.1%
(copysign.f32 (log.f32 x) x)
34.8%
(copysign.f32 (expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
Compiler

Compiled 1584 to 1164 computations (26.5% saved)

localize296.0ms (4.2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.9%
(+.f32 x (hypot.f32 1 x))
99.7%
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
99.2%
(cbrt.f32 (+.f32 x (hypot.f32 1 x)))
82.1%
(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
82.5%
(log.f32 (-.f32 (hypot.f32 1 x) x))
80.7%
(-.f32 (hypot.f32 1 x) x)
99.9%
(+.f32 (log.f32 x) (/.f32 x x))
100.0%
(log1p.f32 (fabs.f32 x))
Compiler

Compiled 116 to 62 computations (46.6% saved)

series106.0ms (1.5%)

Counts
8 → 72
Calls

24 calls:

TimeVariablePointExpression
26.0ms
x
@-inf
(+.f32 (log.f32 x) (/.f32 x x))
25.0ms
x
@0
(log1p.f32 (fabs.f32 x))
19.0ms
x
@inf
(log1p.f32 (fabs.f32 x))
12.0ms
x
@-inf
(log1p.f32 (fabs.f32 x))
10.0ms
x
@0
(+.f32 (log.f32 x) (/.f32 x x))

rewrite155.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1203×log1p-expm1-u
911×prod-diff
211×log1p-udef
210×expm1-udef
125×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020170
1304156
23547156
Stop Event
node limit
Counts
8 → 234
Calls
Call 1
Inputs
(log1p.f32 (fabs.f32 x))
(+.f32 (log.f32 x) (/.f32 x x))
(-.f32 (hypot.f32 1 x) x)
(log.f32 (-.f32 (hypot.f32 1 x) x))
(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 x (hypot.f32 1 x))
Outputs
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 x))) 1)
(*.f32 (log1p.f32 x) 1)
(*.f32 1 (log1p.f32 x))
(*.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(log.f32 (+.f32 x 1))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) 1))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 x) 1))) 1)
(-.f32 (/.f32 (pow.f32 (log.f32 x) 2) (+.f32 (log.f32 x) -1)) (/.f32 1 (+.f32 (log.f32 x) -1)))
(*.f32 (+.f32 (log.f32 x) 1) 1)
(*.f32 1 (+.f32 (log.f32 x) 1))
(*.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) (pow.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) 2) (cbrt.f32 (+.f32 (log.f32 x) 1)))
(*.f32 (sqrt.f32 (+.f32 (log.f32 x) 1)) (sqrt.f32 (+.f32 (log.f32 x) 1)))
(*.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x)))))
(*.f32 (+.f32 (pow.f32 (log.f32 x) 2) -1) (/.f32 1 (+.f32 (log.f32 x) -1)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))) (+.f32 1 (pow.f32 (log.f32 x) 3))))
(/.f32 1 (/.f32 (+.f32 (log.f32 x) -1) (+.f32 (pow.f32 (log.f32 x) 2) -1)))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 1 (-.f32 (pow.f32 (log.f32 x) 2) (log.f32 x))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 2) -1) (+.f32 (log.f32 x) -1))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 2) -1)) (neg.f32 (+.f32 (log.f32 x) -1)))
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(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (/.f32 (pow.f32 x 2) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (pow.f32 x 2)) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) 1) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/6)) (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/6))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (pow.f32 x 2)) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 3) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (hypot.f32 1 x)))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))

simplify136.0ms (1.9%)

Algorithm
egg-herbie
Rules
489×fma-neg
452×log-prod
325×fma-def
294×cube-prod
279×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06089422
114158487
252188373
Stop Event
node limit
Counts
306 → 401
Calls
Call 1
Inputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
1
(+.f32 1 (*.f32 -1 x))
(+.f32 1 (+.f32 (*.f32 -1 x) (*.f32 1/2 (pow.f32 x 2))))
(+.f32 1 (+.f32 (*.f32 -1 x) (+.f32 (*.f32 -1/8 (pow.f32 x 4)) (*.f32 1/2 (pow.f32 x 2)))))
(/.f32 1/2 x)
(-.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/2 (/.f32 1 x))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/2 (/.f32 1 x))) (+.f32 (*.f32 5/128 (/.f32 1 (pow.f32 x 7))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(*.f32 -2 x)
(-.f32 (*.f32 -2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (*.f32 -2 x) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (*.f32 -2 x) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/2 (/.f32 1 x))))
(*.f32 -1 x)
(+.f32 (*.f32 -1 x) (*.f32 1/6 (pow.f32 x 3)))
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 -3/40 (pow.f32 x 5)) (*.f32 1/6 (pow.f32 x 3))))
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 -3/40 (pow.f32 x 5)) (+.f32 (*.f32 5/112 (pow.f32 x 7)) (*.f32 1/6 (pow.f32 x 3)))))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(-.f32 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 1 x)) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 1 x)) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(*.f32 1/3 x)
(+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))
(+.f32 (*.f32 -1/18 (pow.f32 x 3)) (+.f32 (*.f32 1/40 (pow.f32 x 5)) (*.f32 1/3 x)))
(+.f32 (*.f32 -1/18 (pow.f32 x 3)) (+.f32 (*.f32 -5/336 (pow.f32 x 7)) (+.f32 (*.f32 1/40 (pow.f32 x 5)) (*.f32 1/3 x))))
1
(+.f32 1 (*.f32 1/3 x))
(+.f32 1 (+.f32 (*.f32 1/18 (pow.f32 x 2)) (*.f32 1/3 x)))
(+.f32 1 (+.f32 (*.f32 -4/81 (pow.f32 x 3)) (+.f32 (*.f32 1/18 (pow.f32 x 2)) (*.f32 1/3 x))))
x
(+.f32 x (*.f32 -1/6 (pow.f32 x 3)))
(+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5))))
(+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5)))))
1
(+.f32 1 x)
(+.f32 1 (+.f32 x (*.f32 1/2 (pow.f32 x 2))))
(+.f32 1 (+.f32 x (+.f32 (*.f32 -1/8 (pow.f32 x 4)) (*.f32 1/2 (pow.f32 x 2)))))
(*.f32 2 x)
(+.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 2 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 2 x))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(/.f32 -1/2 x)
(-.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (*.f32 5/128 (/.f32 1 (pow.f32 x 7))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 x))) 1)
(*.f32 (log1p.f32 x) 1)
(*.f32 1 (log1p.f32 x))
(*.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(log.f32 (+.f32 x 1))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) 1))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 x) 1))) 1)
(-.f32 (/.f32 (pow.f32 (log.f32 x) 2) (+.f32 (log.f32 x) -1)) (/.f32 1 (+.f32 (log.f32 x) -1)))
(*.f32 (+.f32 (log.f32 x) 1) 1)
(*.f32 1 (+.f32 (log.f32 x) 1))
(*.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) (pow.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) 2) (cbrt.f32 (+.f32 (log.f32 x) 1)))
(*.f32 (sqrt.f32 (+.f32 (log.f32 x) 1)) (sqrt.f32 (+.f32 (log.f32 x) 1)))
(*.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x)))))
(*.f32 (+.f32 (pow.f32 (log.f32 x) 2) -1) (/.f32 1 (+.f32 (log.f32 x) -1)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))) (+.f32 1 (pow.f32 (log.f32 x) 3))))
(/.f32 1 (/.f32 (+.f32 (log.f32 x) -1) (+.f32 (pow.f32 (log.f32 x) 2) -1)))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 1 (-.f32 (pow.f32 (log.f32 x) 2) (log.f32 x))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 2) -1) (+.f32 (log.f32 x) -1))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 2) -1)) (neg.f32 (+.f32 (log.f32 x) -1)))
(/.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (-.f32 1 (log.f32 x)))
(pow.f32 (+.f32 (log.f32 x) 1) 1)
(pow.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) 3)
(pow.f32 (pow.f32 (+.f32 (log.f32 x) 1) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (log.f32 x) 1)) 2)
(sqrt.f32 (pow.f32 (+.f32 (log.f32 x) 1) 2))
(log.f32 (*.f32 x (E.f32)))
(log.f32 (+.f32 1 (-.f32 (*.f32 x (E.f32)) 1)))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 x) 1) 3))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 x) 1)))
(exp.f32 (log1p.f32 (log.f32 x)))
(exp.f32 (*.f32 (log1p.f32 (log.f32 x)) 1))
(log1p.f32 (-.f32 (*.f32 x (E.f32)) 1))
(fma.f32 1 (log.f32 x) 1)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) 1)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) 1)
(+.f32 (hypot.f32 1 x) (neg.f32 x))
(+.f32 (hypot.f32 1 x) (*.f32 (neg.f32 x) 1))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 x) 1 x))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) x))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 -1 x x))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) x))
(+.f32 (neg.f32 x) (hypot.f32 1 x))
(+.f32 (fma.f32 1 (hypot.f32 1 x) (neg.f32 (*.f32 (fabs.f32 (cbrt.f32 x)) (fabs.f32 (pow.f32 (cbrt.f32 x) 2))))) (fma.f32 (neg.f32 (fabs.f32 (cbrt.f32 x))) (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (*.f32 (fabs.f32 (cbrt.f32 x)) (fabs.f32 (pow.f32 (cbrt.f32 x) 2)))))
(+.f32 (fma.f32 (hypot.f32 1 x) 1 (neg.f32 x)) (fma.f32 (neg.f32 x) 1 x))
(+.f32 (fma.f32 (hypot.f32 1 x) 1 (neg.f32 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(+.f32 (fma.f32 (hypot.f32 1 x) 1 (neg.f32 x)) (fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) x))
(+.f32 (fma.f32 (hypot.f32 1 x) 1 (neg.f32 x)) (fma.f32 -1 x x))
(+.f32 (fma.f32 (hypot.f32 1 x) 1 (neg.f32 x)) (fma.f32 (neg.f32 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) x))
(+.f32 (fma.f32 (hypot.f32 1 x) 1 (neg.f32 (*.f32 (fabs.f32 (cbrt.f32 x)) (fabs.f32 (pow.f32 (cbrt.f32 x) 2))))) (fma.f32 (neg.f32 (fabs.f32 (cbrt.f32 x))) (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (*.f32 (fabs.f32 (cbrt.f32 x)) (fabs.f32 (pow.f32 (cbrt.f32 x) 2)))))
(+.f32 (fma.f32 (cbrt.f32 (hypot.f32 1 x)) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (neg.f32 x)) (fma.f32 (neg.f32 x) 1 x))
(+.f32 (fma.f32 (cbrt.f32 (hypot.f32 1 x)) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (neg.f32 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(+.f32 (fma.f32 (cbrt.f32 (hypot.f32 1 x)) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (neg.f32 x)) (fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) x))
(+.f32 (fma.f32 (cbrt.f32 (hypot.f32 1 x)) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (neg.f32 x)) (fma.f32 -1 x x))
(+.f32 (fma.f32 (cbrt.f32 (hypot.f32 1 x)) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (neg.f32 x)) (fma.f32 (neg.f32 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) x))
(+.f32 (fma.f32 (cbrt.f32 (hypot.f32 1 x)) (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (neg.f32 (*.f32 (fabs.f32 (cbrt.f32 x)) (fabs.f32 (pow.f32 (cbrt.f32 x) 2))))) (fma.f32 (neg.f32 (fabs.f32 (cbrt.f32 x))) (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (*.f32 (fabs.f32 (cbrt.f32 x)) (fabs.f32 (pow.f32 (cbrt.f32 x) 2)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) (neg.f32 (*.f32 (fabs.f32 (cbrt.f32 x)) (fabs.f32 (pow.f32 (cbrt.f32 x) 2))))) (fma.f32 (neg.f32 (fabs.f32 (cbrt.f32 x))) (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (*.f32 (fabs.f32 (cbrt.f32 x)) (fabs.f32 (pow.f32 (cbrt.f32 x) 2)))))
(+.f32 (fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) (neg.f32 (*.f32 (fabs.f32 (cbrt.f32 x)) (fabs.f32 (pow.f32 (cbrt.f32 x) 2))))) (fma.f32 (neg.f32 (fabs.f32 (cbrt.f32 x))) (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (*.f32 (fabs.f32 (cbrt.f32 x)) (fabs.f32 (pow.f32 (cbrt.f32 x) 2)))))
(*.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 (-.f32 (hypot.f32 1 x) x) 1)
(*.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (sqrt.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 (+.f32 1 (pow.f32 x 2)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))
(*.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (/.f32 1 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)) (-.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)))
(*.f32 (/.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(*.f32 (/.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (/.f32 (+.f32 (+.f32 1 (pow.f32 x 2)) (*.f32 x (+.f32 x (hypot.f32 1 x)))) (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (+.f32 x (hypot.f32 1 x)) (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2))))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (+.f32 1 (pow.f32 x 2)) (*.f32 x (+.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (+.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) (neg.f32 x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (+.f32 (+.f32 1 (pow.f32 x 2)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))
(/.f32 (neg.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2))) (neg.f32 (+.f32 x (hypot.f32 1 x))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 (neg.f32 x) 3)) (+.f32 (+.f32 1 (pow.f32 x 2)) (-.f32 (pow.f32 x 2) (*.f32 (hypot.f32 1 x) (neg.f32 x)))))
(/.f32 (/.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) 1) (+.f32 x (hypot.f32 1 x)))
(/.f32 (/.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(/.f32 (/.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (-.f32 (hypot.f32 1 x) x) 1)
(pow.f32 (E.f32) (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 3)
(pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 2))
(log.f32 (exp.f32 (-.f32 (hypot.f32 1 x) x)))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (hypot.f32 1 x) x))))
(cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3))
(expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x)))
(exp.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(log1p.f32 (expm1.f32 (-.f32 (hypot.f32 1 x) x)))
(fma.f32 1 (hypot.f32 1 x) (neg.f32 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) (neg.f32 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) (neg.f32 x))
(+.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2)) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))) (log.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
(-.f32 (log.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (+.f32 (+.f32 1 (pow.f32 x 2)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))
(-.f32 (log.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2))) (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(*.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 1)
(pow.f32 (cbrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3)
(pow.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)
(sqrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(cbrt.f32 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(exp.f32 (log.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(exp.f32 (*.f32 (log.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1))
(log1p.f32 (-.f32 (-.f32 (hypot.f32 1 x) x) 1))
(+.f32 0 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (log.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/6)) (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/6)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))) 1)
(*.f32 1 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(pow.f32 (pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(sqrt.f32 (pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(cbrt.f32 (pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(exp.f32 (log.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(log1p.f32 (-.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(*.f32 1 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/6) (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/6))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1/3) (pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 1/3))
(/.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (cbrt.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (cbrt.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))) (cbrt.f32 (-.f32 x (hypot.f32 1 x))))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (E.f32) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/6) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (exp.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1/3))
(log1p.f32 (expm1.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (/.f32 (pow.f32 x 2) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (pow.f32 x 2)) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) 1) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/6)) (pow.f32 (+.f32 x (hypot.f32 1 x)) 1/6))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (pow.f32 x 2)) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (+.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 3) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (hypot.f32 1 x)))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
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1
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1
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x
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1
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(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 3) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 x (hypot.f32 1 x))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 x (hypot.f32 1 x))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(+.f32 x (hypot.f32 1 x))

eval370.0ms (5.3%)

Compiler

Compiled 6634 to 4863 computations (26.7% saved)

prune91.0ms (1.3%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New39011401
Fresh17623
Picked235
Done000
Total40920429
Accuracy
100.0%
Counts
429 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5))))) x)
49.8%
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5)))) x)
52.0%
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
14.0%
(copysign.f32 (+.f32 1 (log.f32 x)) x)
51.5%
(copysign.f32 (*.f32 3 (+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))) x)
39.5%
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
38.7%
(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
25.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
42.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
29.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
29.1%
(copysign.f32 (neg.f32 (log.f32 (*.f32 x -2))) x)
42.5%
(copysign.f32 (neg.f32 (log.f32 (expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x))))) x)
55.0%
(copysign.f32 (log1p.f32 x) x)
29.5%
(copysign.f32 (log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x))) x)
25.4%
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
39.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
25.1%
(copysign.f32 (log.f32 (+.f32 x x)) x)
14.6%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.1%
(copysign.f32 (log.f32 x) x)
53.0%
(copysign.f32 x x)
49.1%
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5))))) x)
49.8%
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5)))) x)
52.0%
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
14.0%
(copysign.f32 (+.f32 1 (log.f32 x)) x)
51.5%
(copysign.f32 (*.f32 3 (+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))) x)
39.5%
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
38.7%
(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
25.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
42.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
29.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
29.1%
(copysign.f32 (neg.f32 (log.f32 (*.f32 x -2))) x)
42.5%
(copysign.f32 (neg.f32 (log.f32 (expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x))))) x)
55.0%
(copysign.f32 (log1p.f32 x) x)
29.5%
(copysign.f32 (log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x))) x)
25.4%
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
39.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
25.1%
(copysign.f32 (log.f32 (+.f32 x x)) x)
14.6%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.1%
(copysign.f32 (log.f32 x) x)
53.0%
(copysign.f32 x x)
Compiler

Compiled 754 to 538 computations (28.6% saved)

localize389.0ms (5.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(+.f32 x (hypot.f32 1 x))
99.8%
(*.f32 3 (*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x)))))
99.7%
(*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))
81.7%
(log.f32 (+.f32 x (hypot.f32 1 x)))
100.0%
(log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x)))
Compiler

Compiled 115 to 71 computations (38.3% saved)

series49.0ms (0.7%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
25.0ms
x
@0
(log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x)))
11.0ms
x
@-inf
(log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x)))
6.0ms
x
@inf
(log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x)))
4.0ms
x
@inf
(log.f32 (+.f32 x (hypot.f32 1 x)))
0.0ms
x
@0
(log.f32 (+.f32 x (hypot.f32 1 x)))

rewrite109.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
938×log1p-expm1-u
938×expm1-log1p-u
814×prod-diff
151×expm1-udef
151×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01995
125287
2304587
Stop Event
node limit
Counts
4 → 86
Calls
Call 1
Inputs
(log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 3 (*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x)))))
Outputs
(+.f32 0 (log.f32 (/.f32 -1/2 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 -1/2 x)) 2)) (log.f32 (cbrt.f32 (/.f32 -1/2 x))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 -1/2 x))) (log.f32 (sqrt.f32 (/.f32 -1/2 x))))
(-.f32 0 (log.f32 (*.f32 x -2)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 -1/2 x)))) 1)
(-.f32 (log.f32 -1/2) (log.f32 x))
(-.f32 (log.f32 1/2) (log.f32 (neg.f32 x)))
(-.f32 (log.f32 (neg.f32 (/.f32 1/4 (pow.f32 x 2)))) (log.f32 (neg.f32 (/.f32 -1/2 x))))
(-.f32 (log.f32 (/.f32 -1/8 (pow.f32 x 3))) (log.f32 (/.f32 1/4 (pow.f32 x 2))))
(*.f32 (log.f32 (/.f32 -1/2 x)) 1)
(*.f32 1 (log.f32 (/.f32 -1/2 x)))
(*.f32 (cbrt.f32 (log.f32 (/.f32 -1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 -1/2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 -1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 -1/2 x))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1/2 x))) (sqrt.f32 (log.f32 (/.f32 -1/2 x))))
(pow.f32 (log.f32 (/.f32 -1/2 x)) 1)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 -1/2 x))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 -1/2 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 -1/2 x))) 2)
(neg.f32 (log.f32 (*.f32 x -2)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 -1/2 x)) 2))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 -1/2 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 -1/2 x))))
(exp.f32 (log.f32 (log.f32 (/.f32 -1/2 x))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 -1/2 x))) 1))
(log1p.f32 (-.f32 (/.f32 -1/2 x) 1))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 1/3 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 2) (*.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) (*.f32 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(*.f32 (*.f32 3 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/3)
(*.f32 (*.f32 3 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (*.f32 3 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))) 1)
(pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(pow.f32 (pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(sqrt.f32 (pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 1 (-.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1)))
(cbrt.f32 (pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(exp.f32 (log.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(log1p.f32 (-.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))

simplify115.0ms (1.6%)

Algorithm
egg-herbie
Rules
846×fma-def
442×log-prod
410×unswap-sqr
292×distribute-lft-in
290×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02504481
15894096
219394024
373994024
Stop Event
node limit
Counts
134 → 156
Calls
Call 1
Inputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
x
(+.f32 x (*.f32 -1/6 (pow.f32 x 3)))
(+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5))))
(+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(-.f32 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(*.f32 1/3 x)
(+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))
(+.f32 (*.f32 -1/18 (pow.f32 x 3)) (+.f32 (*.f32 1/40 (pow.f32 x 5)) (*.f32 1/3 x)))
(+.f32 (*.f32 -1/18 (pow.f32 x 3)) (+.f32 (*.f32 -5/336 (pow.f32 x 7)) (+.f32 (*.f32 1/40 (pow.f32 x 5)) (*.f32 1/3 x))))
(*.f32 1/3 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))))
(+.f32 (*.f32 1/3 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))) (*.f32 1/12 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (*.f32 1/12 (/.f32 1 (pow.f32 x 2))) (*.f32 1/3 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (*.f32 5/288 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 1/12 (/.f32 1 (pow.f32 x 2))) (*.f32 1/3 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(*.f32 1/3 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))))
(-.f32 (*.f32 1/3 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))) (*.f32 1/12 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/3 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))))) (*.f32 1/12 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/3 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))))) (+.f32 (*.f32 5/288 (/.f32 1 (pow.f32 x 6))) (*.f32 1/12 (/.f32 1 (pow.f32 x 2)))))
x
(+.f32 x (*.f32 -1/6 (pow.f32 x 3)))
(+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5))))
(+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(-.f32 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 0 (log.f32 (/.f32 -1/2 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 -1/2 x)) 2)) (log.f32 (cbrt.f32 (/.f32 -1/2 x))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 -1/2 x))) (log.f32 (sqrt.f32 (/.f32 -1/2 x))))
(-.f32 0 (log.f32 (*.f32 x -2)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 -1/2 x)))) 1)
(-.f32 (log.f32 -1/2) (log.f32 x))
(-.f32 (log.f32 1/2) (log.f32 (neg.f32 x)))
(-.f32 (log.f32 (neg.f32 (/.f32 1/4 (pow.f32 x 2)))) (log.f32 (neg.f32 (/.f32 -1/2 x))))
(-.f32 (log.f32 (/.f32 -1/8 (pow.f32 x 3))) (log.f32 (/.f32 1/4 (pow.f32 x 2))))
(*.f32 (log.f32 (/.f32 -1/2 x)) 1)
(*.f32 1 (log.f32 (/.f32 -1/2 x)))
(*.f32 (cbrt.f32 (log.f32 (/.f32 -1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 -1/2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 -1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 -1/2 x))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1/2 x))) (sqrt.f32 (log.f32 (/.f32 -1/2 x))))
(pow.f32 (log.f32 (/.f32 -1/2 x)) 1)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 -1/2 x))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 -1/2 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 -1/2 x))) 2)
(neg.f32 (log.f32 (*.f32 x -2)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 -1/2 x)) 2))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 -1/2 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 -1/2 x))))
(exp.f32 (log.f32 (log.f32 (/.f32 -1/2 x))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 -1/2 x))) 1))
(log1p.f32 (-.f32 (/.f32 -1/2 x) 1))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 1/3 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 2) (*.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) (*.f32 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(*.f32 (*.f32 3 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1/3)
(*.f32 (*.f32 3 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (*.f32 3 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))) 1)
(pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(pow.f32 (pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(sqrt.f32 (pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 1 (-.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1)))
(cbrt.f32 (pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(exp.f32 (log.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(log1p.f32 (-.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
Outputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 -1/2 x))
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 -1/2 x))
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 -1/2 x))
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 -1/2 x))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 -1/2 x))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 -1/2 x))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 -1/2 x))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 -1/2 x))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
x
(+.f32 x (*.f32 -1/6 (pow.f32 x 3)))
(fma.f32 -1/6 (pow.f32 x 3) x)
(+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5))))
(+.f32 x (fma.f32 -1/6 (pow.f32 x 3) (*.f32 3/40 (pow.f32 x 5))))
(+.f32 (fma.f32 -1/6 (pow.f32 x 3) x) (*.f32 3/40 (pow.f32 x 5)))
(fma.f32 -1/6 (pow.f32 x 3) (fma.f32 3/40 (pow.f32 x 5) x))
(+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5)))))
(+.f32 x (fma.f32 -1/6 (pow.f32 x 3) (fma.f32 -5/112 (pow.f32 x 7) (*.f32 3/40 (pow.f32 x 5)))))
(+.f32 (fma.f32 -1/6 (pow.f32 x 3) x) (fma.f32 3/40 (pow.f32 x 5) (*.f32 -5/112 (pow.f32 x 7))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 (log.f32 x) (log.f32 2))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 2) (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1/4 (pow.f32 x 2))))
(+.f32 (log.f32 x) (+.f32 (log.f32 2) (/.f32 1/4 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(+.f32 (log.f32 2) (-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1/4 (pow.f32 x 2))) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (log.f32 2) (+.f32 (+.f32 (log.f32 x) (/.f32 1/4 (pow.f32 x 2))) (/.f32 -3/32 (pow.f32 x 4))))
(+.f32 (log.f32 2) (+.f32 (/.f32 1/4 (pow.f32 x 2)) (+.f32 (log.f32 x) (/.f32 -3/32 (pow.f32 x 4)))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (log.f32 2) (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 5/96 (pow.f32 x 6))))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (+.f32 (/.f32 5/96 (pow.f32 x 6)) (+.f32 (log.f32 x) (/.f32 1/4 (pow.f32 x 2)))) (-.f32 (log.f32 2) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (log.f32 x) (+.f32 (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 5/96 (pow.f32 x 6))) (+.f32 (log.f32 2) (/.f32 -3/32 (pow.f32 x 4)))))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(-.f32 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 1/2) (-.f32 (log.f32 (/.f32 -1 x)) (/.f32 1/4 (pow.f32 x 2))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (/.f32 -1/4 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 1/2) (-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4))) (/.f32 1/4 (pow.f32 x 2))))
(+.f32 (log.f32 1/2) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (-.f32 (log.f32 (/.f32 -1 x)) (/.f32 1/4 (pow.f32 x 2)))))
(+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (-.f32 (/.f32 3/32 (pow.f32 x 4)) (/.f32 1/4 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 1/2) (-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 5/96 (pow.f32 x 6)))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 1/2))) (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 5/96 (pow.f32 x 6))))
(+.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (/.f32 3/32 (pow.f32 x 4)))) (-.f32 (/.f32 -5/96 (pow.f32 x 6)) (/.f32 1/4 (pow.f32 x 2))))
(*.f32 1/3 x)
(*.f32 x 1/3)
(+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))
(fma.f32 -1/18 (pow.f32 x 3) (*.f32 x 1/3))
(fma.f32 (pow.f32 x 3) -1/18 (*.f32 x 1/3))
(+.f32 (*.f32 -1/18 (pow.f32 x 3)) (+.f32 (*.f32 1/40 (pow.f32 x 5)) (*.f32 1/3 x)))
(fma.f32 -1/18 (pow.f32 x 3) (fma.f32 1/40 (pow.f32 x 5) (*.f32 x 1/3)))
(fma.f32 (pow.f32 x 3) -1/18 (fma.f32 x 1/3 (*.f32 (pow.f32 x 5) 1/40)))
(fma.f32 x 1/3 (fma.f32 (pow.f32 x 3) -1/18 (*.f32 (pow.f32 x 5) 1/40)))
(+.f32 (*.f32 -1/18 (pow.f32 x 3)) (+.f32 (*.f32 -5/336 (pow.f32 x 7)) (+.f32 (*.f32 1/40 (pow.f32 x 5)) (*.f32 1/3 x))))
(fma.f32 -1/18 (pow.f32 x 3) (fma.f32 -5/336 (pow.f32 x 7) (fma.f32 1/40 (pow.f32 x 5) (*.f32 x 1/3))))
(fma.f32 (pow.f32 x 3) -1/18 (fma.f32 (pow.f32 x 7) -5/336 (fma.f32 x 1/3 (*.f32 (pow.f32 x 5) 1/40))))
(fma.f32 (pow.f32 x 3) -1/18 (fma.f32 x 1/3 (fma.f32 (pow.f32 x 5) 1/40 (*.f32 (pow.f32 x 7) -5/336))))
(*.f32 1/3 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))))
(*.f32 (+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) 1/3)
(*.f32 (+.f32 (log.f32 x) (log.f32 2)) 1/3)
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(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 1 (-.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1)))
(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (*.f32 (log.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (-.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 1))
(log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 -1) (log.f32 (-.f32 x (hypot.f32 1 x))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))

eval94.0ms (1.3%)

Compiler

Compiled 4256 to 3377 computations (20.7% saved)

prune63.0ms (0.9%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New2263229
Fresh01212
Picked235
Done033
Total22821249
Accuracy
100.0%
Counts
249 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5))))) x)
49.8%
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5)))) x)
52.0%
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
14.0%
(copysign.f32 (+.f32 1 (log.f32 x)) x)
51.5%
(copysign.f32 (*.f32 3 (+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))) x)
29.3%
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (/.f32 -1/2 x)))) x)
39.5%
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
38.7%
(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
25.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
42.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
29.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
42.5%
(copysign.f32 (neg.f32 (log.f32 (expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x))))) x)
10.1%
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
55.0%
(copysign.f32 (log1p.f32 x) x)
29.5%
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
25.4%
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
39.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
25.1%
(copysign.f32 (log.f32 (+.f32 x x)) x)
14.6%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.1%
(copysign.f32 (log.f32 x) x)
53.0%
(copysign.f32 x x)
49.1%
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5))))) x)
49.8%
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5)))) x)
52.0%
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
14.0%
(copysign.f32 (+.f32 1 (log.f32 x)) x)
51.5%
(copysign.f32 (*.f32 3 (+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))) x)
29.3%
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (/.f32 -1/2 x)))) x)
39.5%
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
38.7%
(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
25.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
42.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
29.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
42.5%
(copysign.f32 (neg.f32 (log.f32 (expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x))))) x)
10.1%
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
55.0%
(copysign.f32 (log1p.f32 x) x)
29.5%
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
25.4%
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
39.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
25.1%
(copysign.f32 (log.f32 (+.f32 x x)) x)
14.6%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.1%
(copysign.f32 (log.f32 x) x)
53.0%
(copysign.f32 x x)
Compiler

Compiled 742 to 540 computations (27.2% saved)

localize317.0ms (4.5%)

Compiler

Compiled 135 to 84 computations (37.8% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune24.0ms (0.3%)

Pruning

21 alts after pruning (10 fresh and 11 done)

PrunedKeptTotal
New000
Fresh01010
Picked055
Done066
Total02121
Accuracy
100.0%
Counts
21 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5))))) x)
49.8%
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5)))) x)
52.0%
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
14.0%
(copysign.f32 (+.f32 1 (log.f32 x)) x)
51.5%
(copysign.f32 (*.f32 3 (+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))) x)
29.3%
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (/.f32 -1/2 x)))) x)
39.5%
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
38.7%
(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
25.8%
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
42.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
29.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
42.5%
(copysign.f32 (neg.f32 (log.f32 (expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x))))) x)
10.1%
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
55.0%
(copysign.f32 (log1p.f32 x) x)
29.5%
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
25.4%
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
39.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
25.1%
(copysign.f32 (log.f32 (+.f32 x x)) x)
14.6%
(copysign.f32 (log.f32 (neg.f32 x)) x)
13.1%
(copysign.f32 (log.f32 x) x)
53.0%
(copysign.f32 x x)
Compiler

Compiled 739 to 519 computations (29.8% saved)

regimes209.0ms (3%)

Counts
44 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (neg.f32 (log.f32 (*.f32 x -2))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x))) x)
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 x x)) x)
(copysign.f32 (*.f32 3 (+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log.f32 (/.f32 -1 (-.f32 x (hypot.f32 1 x)))) x)
(copysign.f32 (log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)) x)
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(copysign.f32 (log.f32 (+.f32 1 (fma.f32 1/2 (pow.f32 x 2) x))) x)
(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (*.f32 1/3 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))) x)
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5))))) x)
(copysign.f32 (expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (neg.f32 (log.f32 (expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x))))) x)
(copysign.f32 (+.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) (*.f32 (+.f32 (/.f32 3 (+.f32 1 x)) (/.f32 3 (pow.f32 (+.f32 1 x) 2))) (*.f32 -1/24 (pow.f32 x 4)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))) x)
(copysign.f32 (+.f32 (log1p.f32 (fabs.f32 x)) (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))) (*.f32 -1/24 (*.f32 (pow.f32 x 4) (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))))) x)
(copysign.f32 (+.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) (fma.f32 -1/24 (*.f32 (pow.f32 x 4) (+.f32 (/.f32 3 (+.f32 1 x)) (/.f32 3 (pow.f32 (+.f32 1 x) 2)))) (*.f32 (+.f32 (/.f32 30 (pow.f32 (+.f32 1 x) 3)) (+.f32 (/.f32 45 (pow.f32 (+.f32 1 x) 2)) (/.f32 45 (+.f32 1 x)))) (*.f32 1/720 (pow.f32 x 6))))) x)
Outputs
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
Calls

2 calls:

140.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
57.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
98.9%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
Compiler

Compiled 544 to 377 computations (30.7% saved)

regimes91.0ms (1.3%)

Counts
37 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (neg.f32 (log.f32 (*.f32 x -2))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x))) x)
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 x x)) x)
(copysign.f32 (*.f32 3 (+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log.f32 (/.f32 -1 (-.f32 x (hypot.f32 1 x)))) x)
(copysign.f32 (log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)) x)
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(copysign.f32 (log.f32 (+.f32 1 (fma.f32 1/2 (pow.f32 x 2) x))) x)
(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (*.f32 1/3 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))) x)
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
Outputs
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
Calls

2 calls:

53.0ms
x
30.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
Results
AccuracySegmentsBranch
98.9%3x
98.9%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
Compiler

Compiled 346 to 229 computations (33.8% saved)

regimes47.0ms (0.7%)

Counts
29 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (neg.f32 (log.f32 (*.f32 x -2))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x))) x)
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 x x)) x)
(copysign.f32 (*.f32 3 (+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log.f32 (/.f32 -1 (-.f32 x (hypot.f32 1 x)))) x)
(copysign.f32 (log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)) x)
(copysign.f32 (log.f32 (-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)) x)
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
Outputs
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
Calls

1 calls:

42.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 239 to 156 computations (34.7% saved)

regimes41.0ms (0.6%)

Counts
23 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (neg.f32 (log.f32 (*.f32 x -2))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x))) x)
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 x x)) x)
(copysign.f32 (*.f32 3 (+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
Outputs
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
Calls

1 calls:

37.0ms
x
Results
AccuracySegmentsBranch
97.8%3x
Compiler

Compiled 174 to 109 computations (37.4% saved)

regimes42.0ms (0.6%)

Counts
22 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (neg.f32 (log.f32 (*.f32 x -2))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x))) x)
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 x x)) x)
(copysign.f32 (*.f32 3 (+.f32 (*.f32 -1/18 (pow.f32 x 3)) (*.f32 1/3 x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
Outputs
(copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
Calls

1 calls:

37.0ms
x
Results
AccuracySegmentsBranch
97.7%3x
Compiler

Compiled 166 to 104 computations (37.3% saved)

regimes29.0ms (0.4%)

Counts
17 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (neg.f32 (log.f32 (*.f32 x -2))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 1/2 x))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 x x) (/.f32 -1/2 x))) x)
(copysign.f32 (*.f32 3 (*.f32 1/3 (log.f32 (/.f32 -1/2 x)))) x)
Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
Calls

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
97.6%3x
Compiler

Compiled 119 to 73 computations (38.7% saved)

regimes25.0ms (0.4%)

Counts
13 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (neg.f32 (log.f32 (*.f32 x -2))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 x x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)
Calls

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
96.8%3x
Compiler

Compiled 80 to 48 computations (40% saved)

regimes21.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (neg.f32 (log.f32 (*.f32 x -2))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
96.1%3x
Compiler

Compiled 57 to 34 computations (40.4% saved)

regimes15.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
81.4%3x
Compiler

Compiled 31 to 17 computations (45.2% saved)

regimes10.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log1p.f32 x) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
67.0%2x
Compiler

Compiled 25 to 14 computations (44% saved)

regimes7.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
Outputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
60.9%2x
Compiler

Compiled 14 to 7 computations (50% saved)

regimes6.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
Outputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
60.9%2x
Compiler

Compiled 10 to 5 computations (50% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(copysign.f32 x x)
Outputs
(copysign.f32 x x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
53.0%1x
Compiler

Compiled 6 to 3 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.42601728439331055
1.2917970418930054
0.0ms
-0.8690655827522278
-0.013889913447201252
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.42601728439331055
1.2917970418930054
0.0ms
-0.8690655827522278
-0.013889913447201252
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.021453574299812317
0.06838840991258621
0.0ms
-0.9826691150665283
-0.013890334405004978
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.021453574299812317
0.06838840991258621
0.0ms
-0.9826691150665283
-0.013890334405004978
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.43902117013931274
1.6822720766067505
0.0ms
-0.9826691150665283
-0.013890334405004978
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.43902117013931274
1.6822720766067505
0.0ms
-1.871401309967041
-1.1291546821594238
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.43902117013931274
1.6822720766067505
0.0ms
-1.871401309967041
-1.1291546821594238
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.43902117013931274
1.6822720766067505
0.0ms
-1.871401309967041
-1.1291546821594238
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.43902117013931274
1.6822720766067505
0.0ms
-5.2791337966918945
-2.002885103225708
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
-1.1291546821594238
-0.9826691150665283
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.43902117013931274
1.6822720766067505
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.6822720766067505
9.224926948547363
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify29.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01051382
11351382
21491382
31571382
41601382
51611382
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 1/2) (copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5))))) x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 1/2) (copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5)))) x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 x -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 x 5368709/134217728) (copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 5368709/134217728) (copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 1/2) (copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 x -3/2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 x -3/2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 x -3/2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 2) (copysign.f32 x x) (copysign.f32 (log.f32 x) x))
(copysign.f32 x x)
Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 1/2) (copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) (*.f32 3/40 (pow.f32 x 5))))) x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 1/2) (copysign.f32 (+.f32 x (+.f32 (*.f32 -1/6 (pow.f32 x 3)) (*.f32 3/40 (pow.f32 x 5)))) x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 x -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 x 5368709/134217728) (copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 x 5368709/134217728) (copysign.f32 (+.f32 x (*.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 5368709/134217728) (copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 5368709/134217728) (copysign.f32 (+.f32 x (*.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 1/2) (copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 x -1/2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 1/2) (copysign.f32 (+.f32 x (*.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 x -3/2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (copysign.f32 (+.f32 x (*.f32 (pow.f32 x 3) -1/6)) x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 x -3/2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (copysign.f32 (+.f32 x (*.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 x -3/2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (neg.f32 (log.f32 (/.f32 1/2 x))) x)))
(if (<=.f32 x -3/2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 2) (copysign.f32 x x) (copysign.f32 (log.f32 x) x))
(copysign.f32 x x)
Compiler

Compiled 383 to 260 computations (32.1% saved)

soundness1.9s (27.2%)

Rules
846×fma-def
501×prod-diff
501×prod-diff
501×prod-diff
489×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
13272
23772
34072
44872
55572
66772
78072
89472
910672
1014972
1120772
1222672
1324872
1425672
1526072
01150
112042
2155042
03727022
19456574
228315720
01150
112042
2155042
03727022
19456574
228315720
03727022
19456574
228315720
03727022
19456574
228315720
03727022
19456574
228315720
03727022
19456574
228315720
02504481
15894096
219394024
373994024
06089422
114158487
252188373
06089422
114158487
252188373
01150
112042
2155042
03727022
19456574
228315720
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 962 to 632 computations (34.3% saved)

end1.0ms (0%)

preprocess299.0ms (4.3%)

Compiler

Compiled 810 to 510 computations (37% saved)

Profiling

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