Rust f64::asinh

Time bar (total: 7.8s)

analyze0.0ms (0%)

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

Compiled 4 to 3 computations (25% saved)

Operations
Operation ival-asinh
Operation const

sample814.0ms (10.5%)

Results
800.0ms8256×body256valid
Operations
Operation ival-asinh
Operation const
Bogosity

preprocess194.0ms (2.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
12972
23472
33772
44572
55272
66472
77772
89172
910372
1014672
1120472
1222372
1324372
1425172
1525572
Stop Event
saturated
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
(neg.f64 (asinh.f64 (neg.f64 x)))
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
(neg.f64 (asinh.f64 (neg.f64 x)))
Compiler

Compiled 64 to 34 computations (46.9% saved)

Operations
Operation ival-sqrt
Operation ival-mult
Operation ival-log
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

eval1.0ms (0%)

Compiler

Compiled 21 to 13 computations (38.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
56.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
56.4%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 20 to 14 computations (30% saved)

localize195.0ms (2.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
56.4%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

Operations
Operation ival-log
Operation ival-hypot
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite139.0ms (1.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
111742
2154742
Stop Event
node limit
Counts
2 → 120
Calls
Call 1
Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))

simplify87.0ms (1.1%)

Algorithm
egg-herbie
Rules
848×distribute-lft-in
804×distribute-rgt-in
682×associate-+r+
608×associate-+l+
574×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03727022
19456574
229305720
Stop Event
node limit
Counts
144 → 231
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (+.f64 (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (fabs.f64 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (fabs.f64 x) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (fabs.f64 x) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))))
x
(+.f64 x (fabs.f64 x))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))
Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval92.0ms (1.2%)

Compiler

Compiled 4336 to 3046 computations (29.8% saved)

prune66.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New21615231
Fresh000
Picked101
Done000
Total21715232
Accuracy
100.0%
Counts
232 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
31.3%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
48.3%
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))) x)
48.8%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))))) x)
50.3%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
31.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
63.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
55.0%
(copysign.f64 (log1p.f64 x) x)
27.3%
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
27.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
31.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
26.9%
(copysign.f64 (log.f64 (+.f64 x x)) x)
20.2%
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
11.9%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
9.5%
(copysign.f64 (log.f64 (neg.f64 x)) x)
49.0%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
31.3%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
48.3%
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))) x)
48.8%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))))) x)
50.3%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
31.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
63.2%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
55.0%
(copysign.f64 (log1p.f64 x) x)
27.3%
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
27.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
31.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
26.9%
(copysign.f64 (log.f64 (+.f64 x x)) x)
20.2%
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
11.9%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
9.5%
(copysign.f64 (log.f64 (neg.f64 x)) x)
Compiler

Compiled 784 to 560 computations (28.6% saved)

localize497.0ms (6.4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x (hypot.f64 1 x))
80.3%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
80.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
80.3%
(log.f64 (+.f64 1 (fabs.f64 x)))
Compiler

Compiled 100 to 53 computations (47% saved)

Operations
Operation ival-sub
Operation ival-log1p
Operation ival-log
Operation ival-hypot
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

series142.0ms (1.8%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
104.0ms
x
@0
(log.f64 (+.f64 1 (fabs.f64 x)))
18.0ms
x
@inf
(log.f64 (+.f64 1 (fabs.f64 x)))
17.0ms
x
@-inf
(log.f64 (+.f64 1 (fabs.f64 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))

rewrite151.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1678×prod-diff
1020×log1p-expm1-u
509×expm1-log1p-u
318×expm1-udef
316×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01577
122573
2328473
Stop Event
node limit
Counts
4 → 148
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)) (exp.f64 -1))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (exp.f64 1) (exp.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))))
(/.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)) (exp.f64 1))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

simplify254.0ms (3.3%)

Algorithm
egg-herbie
Rules
1148×unswap-sqr
994×associate-+r+
574×fma-neg
458×cancel-sign-sub-inv
390×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03267767
17857209
227827180
Stop Event
node limit
Counts
184 → 209
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)) (exp.f64 -1))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (exp.f64 1) (exp.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))))
(/.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)) (exp.f64 1))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 -1/4 (pow.f64 x 2)) (/.f64 -5/96 (pow.f64 x 6))))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (-.f64 (-.f64 -2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 -2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -2))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 1 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 0 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -2))) (-.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(*.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)) (exp.f64 -1))
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (exp.f64 1) (exp.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(+.f64 x (hypot.f64 1 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)) (exp.f64 1))
(+.f64 x (hypot.f64 1 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (*.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))

eval152.0ms (2%)

Compiler

Compiled 4456 to 3535 computations (20.7% saved)

prune59.0ms (0.8%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2036209
Fresh2810
Picked325
Done000
Total20816224
Accuracy
100.0%
Counts
224 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
18.4%
(copysign.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3) x)
6.1%
(copysign.f64 (-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1) x)
27.3%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
27.0%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)
6.8%
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
48.3%
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))) x)
48.8%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))))) x)
50.3%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
31.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
55.0%
(copysign.f64 (log1p.f64 x) x)
27.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
31.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
26.9%
(copysign.f64 (log.f64 (+.f64 x x)) x)
9.5%
(copysign.f64 (log.f64 (neg.f64 x)) x)
27.4%
(copysign.f64 (exp.f64 (log.f64 (log1p.f64 x))) x)
49.0%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
18.4%
(copysign.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3) x)
6.1%
(copysign.f64 (-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1) x)
27.3%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
27.0%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)
6.8%
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
48.3%
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))) x)
48.8%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))))) x)
50.3%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
31.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
55.0%
(copysign.f64 (log1p.f64 x) x)
27.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
31.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
26.9%
(copysign.f64 (log.f64 (+.f64 x x)) x)
9.5%
(copysign.f64 (log.f64 (neg.f64 x)) x)
27.4%
(copysign.f64 (exp.f64 (log.f64 (log1p.f64 x))) x)
Compiler

Compiled 844 to 626 computations (25.8% saved)

localize517.0ms (6.7%)

Compiler

Compiled 164 to 108 computations (34.1% saved)

Operations
Operation ival-sub
Operation ival-pow
Operation ival-mult
Operation ival-log1p
Operation ival-log
Operation ival-hypot
Operation ival-fabs
Operation ival-div
Operation ival-copysign
Operation ival-add
Operation const

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune109.0ms (1.4%)

Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New000
Fresh099
Picked055
Done022
Total01616
Accuracy
100.0%
Counts
16 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
18.4%
(copysign.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3) x)
6.1%
(copysign.f64 (-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1) x)
27.3%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
27.0%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)
6.8%
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
48.3%
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))) x)
48.8%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))))) x)
50.3%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
31.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
55.0%
(copysign.f64 (log1p.f64 x) x)
27.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
31.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
26.9%
(copysign.f64 (log.f64 (+.f64 x x)) x)
9.5%
(copysign.f64 (log.f64 (neg.f64 x)) x)
27.4%
(copysign.f64 (exp.f64 (log.f64 (log1p.f64 x))) x)
49.0%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
18.4%
(copysign.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3) x)
6.1%
(copysign.f64 (-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1) x)
27.3%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
27.0%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)
6.8%
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
48.3%
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))) x)
48.8%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))))) x)
50.3%
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
31.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
55.0%
(copysign.f64 (log1p.f64 x) x)
27.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
31.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
26.9%
(copysign.f64 (log.f64 (+.f64 x x)) x)
9.5%
(copysign.f64 (log.f64 (neg.f64 x)) x)
27.4%
(copysign.f64 (exp.f64 (log.f64 (log1p.f64 x))) x)
Compiler

Compiled 736 to 546 computations (25.8% saved)

localize1.2s (15.4%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24)))
100.0%
(*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))
100.0%
(*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24)
100.0%
(+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))
76.0%
(log.f64 (-.f64 (hypot.f64 1 x) x))
99.9%
(*.f64 -1/6 (pow.f64 x 3))
76.0%
(-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1)
Compiler

Compiled 304 to 221 computations (27.3% saved)

Operations
Operation ival-sub
Operation ival-pow
Operation ival-neg
Operation ival-mult
Operation ival-log1p
Operation ival-log
Operation ival-hypot
Operation ival-fma
Operation ival-div
Operation ival-copysign
Operation ival-add
Operation const

series7.0ms (0.1%)

Counts
7 → 72
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (-.f64 (hypot.f64 1 x) x))
0.0ms
x
@inf
(-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1)
0.0ms
x
@0
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24)))
0.0ms
x
@inf
(*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24)
0.0ms
x
@0
(-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1)

rewrite91.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
390×associate-*r*
258×log1p-expm1-u
258×expm1-log1p-u
248×add-cube-cbrt
247×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035341
1555305
Stop Event
node limit
Counts
7 → 225
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))
(*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24)
(*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24)))
Outputs
(+.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))
(+.f64 1 (*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 1))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(+.f64 (+.f64 1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))
(+.f64 (+.f64 1 x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) (*.f64 x 1))
(+.f64 (*.f64 x 1) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 4) -1/6)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 4) -1/6))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 4) -1/6))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 4) -1/6)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/36))) (neg.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1)) (neg.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))) (-.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 x 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))) (log.f64 (+.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 3 (+.f64 1 x)) 2) (-.f64 (/.f64 3 (+.f64 1 x)) (*.f64 3 (pow.f64 (+.f64 1 x) -2)))) (/.f64 (/.f64 9 (pow.f64 (+.f64 1 x) 4)) (-.f64 (/.f64 3 (+.f64 1 x)) (*.f64 3 (pow.f64 (+.f64 1 x) -2)))))
(*.f64 1 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))))
(*.f64 3 (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (+.f64 1 x) -2)))
(*.f64 3 (+.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x)))) 2) (cbrt.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x)))) (sqrt.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x)))))
(*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) 3)) (/.f64 1 (pow.f64 (+.f64 1 x) 3)))
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(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3) (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (-.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) 2) 1/576) (pow.f64 x 8))) (/.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (-.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))) (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3) (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) 3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4)))) (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) 2) 1/576) (pow.f64 x 8)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3) (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (-.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) 2) 1/576) (pow.f64 x 8))) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3) (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (-.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) 2) 1/576) (pow.f64 x 8)))) (neg.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) 3) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) 2) 1/576) (pow.f64 x 8)) (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) 2) 1/576) (pow.f64 x 8)) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2)) (-.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))
(pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(fma.f64 1 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4)))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24))) (*.f64 (pow.f64 x 2) (sqrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (sqrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 (pow.f64 x 4) (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x)))) -1/24 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))

simplify183.0ms (2.4%)

Algorithm
egg-herbie
Rules
1444×fma-neg
980×fma-def
860×log-prod
736×associate-*l*
694×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072217883
1189016918
2705316916
Stop Event
node limit
Counts
297 → 438
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
6
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (+.f64 (*.f64 -9 x) (*.f64 12 (pow.f64 x 2))))
(+.f64 6 (+.f64 (*.f64 -15 (pow.f64 x 3)) (+.f64 (*.f64 -9 x) (*.f64 12 (pow.f64 x 2)))))
(/.f64 3 x)
(-.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (/.f64 1 x))) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (/.f64 1 x))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 9 (/.f64 1 (pow.f64 x 5)))))
(/.f64 3 x)
(-.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (/.f64 1 x))) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (/.f64 1 x))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 9 (/.f64 1 (pow.f64 x 5)))))
-1/4
(-.f64 (*.f64 3/8 x) 1/4)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 x)) 1/4)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 3/8 x) (*.f64 5/8 (pow.f64 x 3)))) 1/4)
(/.f64 -1/8 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 x))))
(/.f64 -1/8 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 x))))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 3/8 (pow.f64 x 5)))
(+.f64 (*.f64 -1/2 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 3/8 (pow.f64 x 5))))
(+.f64 (*.f64 -1/2 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) (*.f64 5/8 (pow.f64 x 7)))))
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x)) 1/4)
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/8 x) (*.f64 3/8 (/.f64 1 x)))) 1/4)
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x)) 1/4)
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/8 x) (*.f64 3/8 (/.f64 1 x)))) 1/4)
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 5/8 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 5/8 x))) 3/4)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 5/8 x) (*.f64 15/8 (/.f64 1 x))))) 3/4)
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 5/8 x))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 5/8 x)))) 3/4)
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(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(fma.f64 1 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4)))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24))) (*.f64 (pow.f64 x 2) (sqrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (sqrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (*.f64 (pow.f64 x 4) (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x)))) -1/24 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1 x (*.f64 (pow.f64 x 3) 1/6))
(fma.f64 (pow.f64 x 3) 1/6 (neg.f64 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/6)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 (*.f64 -3/40 (pow.f64 x 5))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))))
(-.f64 (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 1/6 (*.f64 5/112 (pow.f64 x 7)))) x)
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (-.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4))))
6
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 x -9))
(fma.f64 x -9 6)
(+.f64 6 (+.f64 (*.f64 -9 x) (*.f64 12 (pow.f64 x 2))))
(+.f64 6 (fma.f64 -9 x (*.f64 (pow.f64 x 2) 12)))
(+.f64 (fma.f64 x -9 6) (*.f64 (pow.f64 x 2) 12))
(+.f64 6 (+.f64 (*.f64 -15 (pow.f64 x 3)) (+.f64 (*.f64 -9 x) (*.f64 12 (pow.f64 x 2)))))
(+.f64 6 (fma.f64 -15 (pow.f64 x 3) (fma.f64 -9 x (*.f64 (pow.f64 x 2) 12))))
(+.f64 6 (fma.f64 (pow.f64 x 3) -15 (fma.f64 x -9 (*.f64 (pow.f64 x 2) 12))))
(/.f64 3 x)
(-.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (/.f64 1 x))) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 6 (pow.f64 x 4)) (-.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 6 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (/.f64 1 x))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 9 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 6 (pow.f64 x 4)) (-.f64 (/.f64 3 x) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 9 (pow.f64 x 5)))))
(+.f64 (/.f64 3 x) (-.f64 (/.f64 6 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 9 (pow.f64 x 5)))))
(/.f64 3 x)
(-.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (/.f64 1 x))) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 6 (pow.f64 x 4)) (-.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 6 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (/.f64 1 x))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 9 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 6 (pow.f64 x 4)) (-.f64 (/.f64 3 x) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 9 (pow.f64 x 5)))))
(+.f64 (/.f64 3 x) (-.f64 (/.f64 6 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 9 (pow.f64 x 5)))))
-1/4
(-.f64 (*.f64 3/8 x) 1/4)
(fma.f64 3/8 x -1/4)
(fma.f64 x 3/8 -1/4)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 x)) 1/4)
(+.f64 (*.f64 (pow.f64 x 2) -1/2) (fma.f64 3/8 x -1/4))
(fma.f64 (pow.f64 x 2) -1/2 (fma.f64 x 3/8 -1/4))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 3/8 x) (*.f64 5/8 (pow.f64 x 3)))) 1/4)
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 3/8 x (*.f64 (pow.f64 x 3) 5/8))) -1/4)
(+.f64 -1/4 (fma.f64 (pow.f64 x 2) -1/2 (fma.f64 (pow.f64 x 3) 5/8 (*.f64 x 3/8))))
(+.f64 (fma.f64 (pow.f64 x 3) 5/8 (*.f64 x 3/8)) (fma.f64 (pow.f64 x 2) -1/2 -1/4))
(/.f64 -1/8 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/8 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/8 x) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 -1/8 x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 3/8 (pow.f64 x 5))) (+.f64 (/.f64 1/8 x) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (+.f64 (/.f64 1/8 x) (/.f64 1/4 (pow.f64 x 4)))))
(/.f64 -1/8 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/8 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/8 x) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 -1/8 x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 3/8 (pow.f64 x 5))) (+.f64 (/.f64 1/8 x) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (+.f64 (/.f64 1/8 x) (/.f64 1/4 (pow.f64 x 4)))))
(*.f64 -1/4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -1/4)
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 3/8 (pow.f64 x 5)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 5) 3/8))
(fma.f64 (pow.f64 x 5) 3/8 (*.f64 (pow.f64 x 4) -1/4))
(+.f64 (*.f64 -1/2 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 3/8 (pow.f64 x 5))))
(fma.f64 -1/2 (pow.f64 x 6) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 5) 3/8)))
(fma.f64 (pow.f64 x 6) -1/2 (fma.f64 (pow.f64 x 5) 3/8 (*.f64 (pow.f64 x 4) -1/4)))
(+.f64 (*.f64 -1/2 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 3/8 (pow.f64 x 5)) (*.f64 5/8 (pow.f64 x 7)))))
(fma.f64 -1/2 (pow.f64 x 6) (fma.f64 -1/4 (pow.f64 x 4) (fma.f64 3/8 (pow.f64 x 5) (*.f64 (pow.f64 x 7) 5/8))))
(fma.f64 (pow.f64 x 6) -1/2 (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 (pow.f64 x 7) 5/8 (*.f64 (pow.f64 x 5) 3/8))))
(*.f64 -1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/8)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x))
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 x 1/8))
(fma.f64 x 1/8 (*.f64 (pow.f64 x 3) -1/8))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x)) 1/4)
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (*.f64 x 1/8)) -1/4)
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x 1/8 -1/4))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/8 x) (*.f64 3/8 (/.f64 1 x)))) 1/4)
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/8 x (/.f64 3/8 x))) -1/4)
(fma.f64 (pow.f64 x 3) -1/8 (+.f64 (/.f64 3/8 x) (fma.f64 x 1/8 -1/4)))
(*.f64 -1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/8)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/8 x))
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(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2) (pow.f64 x 8)) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)) 2)) (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (neg.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) 3) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) 2) 1/576) (pow.f64 x 8)) (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2) (*.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)) 3) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)) 3)) (fma.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) 2) 1/576) (pow.f64 x 8) (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)) 2) (*.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 3) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)) 3)) (fma.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2) (pow.f64 x 8) (*.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) 2) 1/576) (pow.f64 x 8)) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) 2)) (-.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)) 2) (*.f64 (pow.f64 (fma.f64 3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1))) 2) (*.f64 1/576 (pow.f64 x 8)))) (neg.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2) (pow.f64 x 8)) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)) 2)) (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (neg.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2) (pow.f64 x 8)) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)) 2)) (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (neg.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))))
(pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 1)
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 3)
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 3) 1/3)
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 2)
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x))) 2))
(fabs.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x))))
(log.f64 (exp.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))))))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 3))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(exp.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))) 1))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 1 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4)))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24))) (*.f64 (pow.f64 x 2) (sqrt.f64 (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) -1/24))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (sqrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))) (*.f64 (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x))) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (*.f64 (pow.f64 x 4) (fma.f64 3 (pow.f64 (+.f64 1 x) -2) (/.f64 3 (+.f64 1 x)))) -1/24 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)))
(fma.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 x 1)) (log1p.f64 x)))

eval317.0ms (4.1%)

Compiler

Compiled 14189 to 10909 computations (23.1% saved)

prune78.0ms (1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New4362438
Fresh224
Picked325
Done257
Total44311454
Accuracy
100.0%
Counts
454 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
27.0%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)
6.8%
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
49.7%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
31.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
55.0%
(copysign.f64 (log1p.f64 x) x)
27.0%
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
31.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
26.9%
(copysign.f64 (log.f64 (+.f64 x x)) x)
9.5%
(copysign.f64 (log.f64 (neg.f64 x)) x)
50.3%
(copysign.f64 x x)
Compiler

Compiled 373 to 250 computations (33% saved)

regimes58.0ms (0.7%)

Counts
25 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (exp.f64 (log.f64 (log1p.f64 x))) x)
(copysign.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
(copysign.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))) -1/24))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

2 calls:

36.0ms
x
14.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 290 to 191 computations (34.1% saved)

regimes29.0ms (0.4%)

Counts
15 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

25.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 122 to 80 computations (34.4% saved)

regimes27.0ms (0.3%)

Counts
14 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)
Calls

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 114 to 75 computations (34.2% saved)

regimes25.0ms (0.3%)

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

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 86 to 55 computations (36% saved)

regimes18.0ms (0.2%)

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

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
81.7%3x
Compiler

Compiled 53 to 31 computations (41.5% saved)

regimes17.0ms (0.2%)

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

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
81.6%3x
Compiler

Compiled 43 to 26 computations (39.5% saved)

regimes16.0ms (0.2%)

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

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
81.4%3x
Compiler

Compiled 34 to 20 computations (41.2% saved)

regimes12.0ms (0.2%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
63.2%2x
Compiler

Compiled 28 to 17 computations (39.3% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
57.0%2x
Compiler

Compiled 17 to 10 computations (41.2% saved)

regimes30.0ms (0.4%)

Accuracy

Total -27.8b remaining (-87.5%)

Threshold costs -27.8b (-87.5%)

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

1 calls:

29.0ms
x
Results
AccuracySegmentsBranch
50.3%1x
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.789297568258834e-6
3.276386609372649
0.0ms
-7.417237372600483
-7.26944113780987e-5
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch50.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.789297568300977e-6
13.221076434636277
25.0ms
-832.2141762507744
-7.269441144209595e-5
Results
45.0ms288×body256valid
Compiler

Compiled 413 to 291 computations (29.5% saved)

Operations
Operation ival-sqrt
Operation ival-mult
Operation ival-log
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

bsearch50.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
1.789297568300977e-6
13.221076434636277
26.0ms
-832.2141762507744
-7.269441144209595e-5
Results
45.0ms288×body256valid
Compiler

Compiled 485 to 363 computations (25.2% saved)

Operations
Operation ival-sqrt
Operation ival-mult
Operation ival-log
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

bsearch101.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.789297568300977e-6
13.221076434636277
76.0ms
-832.2141762507744
-7.269441144209595e-5
Results
96.0ms288×body256valid
Compiler

Compiled 431 to 300 computations (30.4% saved)

Operations
Operation ival-sqrt
Operation ival-mult
Operation ival-log
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

bsearch51.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.789297568300977e-6
13.221076434636277
26.0ms
-832.2141762507744
-7.269441144209595e-5
Results
47.0ms288×body256valid
Compiler

Compiled 386 to 273 computations (29.3% saved)

Operations
Operation ival-sqrt
Operation ival-mult
Operation ival-log
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

bsearch55.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
1.789297568300977e-6
13.221076434636277
27.0ms
-832.2141762507744
-7.269441144209595e-5
Results
51.0ms288×body256valid
Compiler

Compiled 350 to 246 computations (29.7% saved)

Operations
Operation ival-sqrt
Operation ival-mult
Operation ival-log
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

bsearch50.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
1.789297568300977e-6
13.221076434636277
25.0ms
-832.2141762507744
-7.269441144209595e-5
Results
47.0ms288×body256valid
Compiler

Compiled 242 to 156 computations (35.5% saved)

Operations
Operation ival-sqrt
Operation ival-mult
Operation ival-log
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

bsearch31.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
-832.2141762507744
-7.269441144209595e-5
Results
29.0ms144×body256valid
Compiler

Compiled 134 to 93 computations (30.6% saved)

Operations
Operation ival-sqrt
Operation ival-mult
Operation ival-log
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

bsearch23.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
1.789297568300977e-6
13.221076434636277
Results
21.0ms144×body256valid
Compiler

Compiled 116 to 75 computations (35.3% saved)

Operations
Operation ival-sqrt
Operation ival-mult
Operation ival-log
Operation ival-fabs
Operation ival-copysign
Operation ival-add
Operation const

simplify23.0ms (0.3%)

Algorithm
egg-herbie
Rules
30×+-commutative
20×unsub-neg
16×neg-mul-1
12×sub-neg
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941056
11161056
21251056
31321056
41431056
51621056
61651056
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -5) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/2361183241434822606848) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x) (if (<=.f64 x 4842270319348757/4611686018427387904) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -7/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -7/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 6980579422424269/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -5) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/2361183241434822606848) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -5) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/2361183241434822606848) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x) (if (<=.f64 x 4842270319348757/4611686018427387904) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x) (if (<=.f64 x 4842270319348757/4611686018427387904) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))) 1) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))) 1) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))) -1) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (-.f64 x x) (/.f64 -1/2 x))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -7/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -7/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -7/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -7/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 6980579422424269/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 290 to 192 computations (33.8% saved)

soundness1.6s (20.2%)

Rules
1002×prod-diff
1002×prod-diff
1002×prod-diff
848×distribute-lft-in
848×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
12972
23472
33772
44572
55272
66472
77772
89172
910372
1014672
1120472
1222372
1324372
1425172
1525572
01150
111742
2154742
03727022
19456574
229305720
01150
111742
2154742
035341
1555305
01150
111742
2154742
03727022
19456574
229305720
03727022
19456574
229305720
03727022
19456574
229305720
03727022
19456574
229305720
03727022
19456574
229305720
03727022
19456574
229305720
Stop Event
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 1032 to 679 computations (34.2% saved)

end0.0ms (0%)

preprocess187.0ms (2.4%)

Compiler

Compiled 630 to 370 computations (41.3% saved)

Profiling

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