Rust f64::asinh

Time bar (total: 5.8s)

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)

sample687.0ms (11.8%)

Results
675.0ms8256×body256valid
Bogosity

preprocess165.0ms (2.8%)

Algorithm
egg-herbie
Rules
40×fma-def
14×associate--r+
13×+-commutative
12×associate-+l-
11×*-commutative
Problems
124×(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
68×No Errors
64×(sqrt.f64 (+.f64 (*.f64 x x) 1))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01765
12956
23256
33456
43856
54256
65256
77256
88556
910556
1014156
1120156
1222456
1324556
1425356
1525756
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))
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))
Compiler

Compiled 64 to 34 computations (46.9% saved)

eval1.0ms (0%)

Compiler

Compiled 21 to 13 computations (38.1% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
30.8%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
55.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
30.8%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 46 to 32 computations (30.4% saved)

localize207.0ms (3.6%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
55.1%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
100.0%
(+.f64 (*.f64 x x) 1)
100.0%
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
76.7%
(sqrt.f64 (+.f64 (*.f64 x x) 1))
55.1%
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Compiler

Compiled 80 to 40 computations (50% saved)

series6.0ms (0.1%)

Counts
6 → 72
Calls

18 calls:

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

rewrite234.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
384×associate-*r/
309×*-commutative
308×unswap-sqr
305×associate-*l/
266×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016125
1244109
22253109
Stop Event
node limit
Counts
6 → 397
Calls
Call 1
Inputs
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(sqrt.f64 (+.f64 (*.f64 x x) 1))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(+.f64 (*.f64 x x) 1)
(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 (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 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (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 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1) (*.f64 (log.f64 (sqrt.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 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.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 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (cbrt.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))) (*.f64 (cbrt.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))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (*.f64 (sqrt.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)))))) (*.f64 (sqrt.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)))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/6))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.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 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(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)
(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)))))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)
(*.f64 1 (hypot.f64 1 x))
(*.f64 (hypot.f64 1 x) 1)
(*.f64 (hypot.f64 1 x) (pow.f64 1 1/2))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (hypot.f64 1 x))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (hypot.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (sqrt.f64 (cbrt.f64 (hypot.f64 1 x)))) (*.f64 (cbrt.f64 (hypot.f64 1 x)) (sqrt.f64 (cbrt.f64 (hypot.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/6) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3/2) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 x 2)))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 x 2)))))
(/.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 x 2)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 x 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 x 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 6))) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 x 2)))))
(pow.f64 (fma.f64 x x 1) 1/2)
(pow.f64 (hypot.f64 1 x) 1)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(fabs.f64 (hypot.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(hypot.f64 1 x)
(exp.f64 (log.f64 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(-.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 (exp.f64 (log1p.f64 x)) (-.f64 1 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 x))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)
(-.f64 (+.f64 (hypot.f64 1 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 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 (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 (/.f64 1 (-.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (pow.f64 x 2) 0) 1))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (+.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) 2))) (-.f64 (*.f64 (pow.f64 x 2) 0) (-.f64 1 (*.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) (pow.f64 x 2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/6) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/6))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 0)) 1) (-.f64 (hypot.f64 1 x) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (hypot.f64 1 x) 4)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 2) (fma.f64 x x 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (hypot.f64 1 x) 4) (+.f64 (pow.f64 x 2) (pow.f64 x 4)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) 1) (-.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(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 (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)))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.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 (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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)

simplify123.0ms (2.1%)

Algorithm
egg-herbie
Rules
396×associate-*r*
333×associate-*l*
304×fma-def
269×*-commutative
256×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07385628
119545628
Stop Event
node limit
Counts
469 → 305
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))))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.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 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 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)))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(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 (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 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (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 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1) (*.f64 (log.f64 (sqrt.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 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.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 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (cbrt.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))) (*.f64 (cbrt.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))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (cbrt.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))) (*.f64 (cbrt.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))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (*.f64 (sqrt.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)))))) (*.f64 (sqrt.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)))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/6))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.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 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(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)
(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)))))
(log1p.f64 (+.f64 x (-.f64 (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 (exp.f64 (log1p.f64 x)) (-.f64 1 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 x))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)
(-.f64 (+.f64 (hypot.f64 1 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 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 (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 (/.f64 1 (-.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (pow.f64 x 2) 0) 1))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (+.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) 2))) (-.f64 (*.f64 (pow.f64 x 2) 0) (-.f64 1 (*.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) (pow.f64 x 2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/6) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/6))
(*.f64 (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)))) 2)) (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)))) 2)))
(*.f64 (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)))) 2)) (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)))) 2)))
(*.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (pow.f64 (exp.f64 1) (/.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 1 (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 x (hypot.f64 1 x)) (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (-.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 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 0)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (hypot.f64 1 x) 4)) (*.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (*.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (*.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (*.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (hypot.f64 1 x) 4) (+.f64 (pow.f64 x 2) (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (/.f64 (-.f64 x (hypot.f64 1 x)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))) (/.f64 (-.f64 x (hypot.f64 1 x)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 0)) 1) (-.f64 (hypot.f64 1 x) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (hypot.f64 1 x) 4)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 2) (fma.f64 x x 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (hypot.f64 1 x) 4) (+.f64 (pow.f64 x 2) (pow.f64 x 4)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) 1) (-.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(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 (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)))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.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 (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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(log1p.f64 (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))))))
(log1p.f64 (fabs.f64 x))
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(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (/.f64 (-.f64 x (hypot.f64 1 x)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))) (/.f64 (-.f64 x (hypot.f64 1 x)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 0)) 1) (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (hypot.f64 1 x) 4)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 2) (fma.f64 x x 1)))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (hypot.f64 1 x) 4) (+.f64 (pow.f64 x 2) (pow.f64 x 4)))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(log1p.f64 (fabs.f64 x))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) 1) (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (fabs.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(log1p.f64 (fabs.f64 x))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(log1p.f64 (fabs.f64 x))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(log1p.f64 (fabs.f64 x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(log1p.f64 (fabs.f64 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(log1p.f64 (fabs.f64 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(log1p.f64 (fabs.f64 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(log1p.f64 (fabs.f64 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)))))
(log1p.f64 (fabs.f64 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)))))
(log1p.f64 (fabs.f64 x))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 2) 0) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(log1p.f64 (fabs.f64 x))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(log1p.f64 (fabs.f64 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log1p.f64 (fabs.f64 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (fabs.f64 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(log1p.f64 (fabs.f64 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (fabs.f64 x))
(fma.f64 1 x (hypot.f64 1 x))
(log1p.f64 (fabs.f64 x))
(fma.f64 1 (hypot.f64 1 x) x)
(log1p.f64 (fabs.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(log1p.f64 (fabs.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(log1p.f64 (fabs.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(log1p.f64 (fabs.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(log1p.f64 (fabs.f64 x))

eval234.0ms (4%)

Compiler

Compiled 6625 to 4789 computations (27.7% saved)

prune58.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New29510305
Fresh000
Picked112
Done000
Total29611307
Accuracy
99.4%
Counts
307 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.2%
(copysign.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) x)
6.7%
(copysign.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
8.7%
(copysign.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) x)
10.1%
(copysign.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) x)
72.3%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
64.1%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
29.5%
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))) x)
55.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
30.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x)
25.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
19.7%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
26.2%
(copysign.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) x)
6.7%
(copysign.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
8.7%
(copysign.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) x)
10.1%
(copysign.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) x)
72.3%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
64.1%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
29.5%
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))) x)
55.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
30.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x)
25.9%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
19.7%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
Compiler

Compiled 456 to 334 computations (26.8% saved)

localize415.0ms (7.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))))
90.3%
(-.f64 (hypot.f64 1 x) 1)
73.1%
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
73.1%
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
Compiler

Compiled 153 to 91 computations (40.5% saved)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
1.0ms
x
@0
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
1.0ms
x
@inf
(log.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))))
1.0ms
x
@0
(log.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))))
1.0ms
x
@inf
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))

rewrite140.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
690×associate-/r*
346×associate-/r/
336×associate-/l*
238×associate-+l+
168×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020110
1306102
2442796
Stop Event
node limit
Counts
4 → 172
Calls
Call 1
Inputs
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(-.f64 (hypot.f64 1 x) 1)
(log.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))))
Outputs
(-.f64 (hypot.f64 1 x) (+.f64 x 1))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(-.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 1 (+.f64 x -1)))
(-.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (+.f64 x 1)))
(-.f64 0 (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
(-.f64 (+.f64 x (+.f64 1 (hypot.f64 1 x))) 2)
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x))) (-.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) x))
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x))) (+.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) x))
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))) (-.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))) x))
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))) (+.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))) x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (-.f64 x (hypot.f64 1 x)))) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (+.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (hypot.f64 1 x) -1)))
(-.f64 (+.f64 x (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(-.f64 (+.f64 x (/.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2)))) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))))
(-.f64 (+.f64 (+.f64 (hypot.f64 1 x) -1) 0) x)
(-.f64 (+.f64 (+.f64 (hypot.f64 1 x) -1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(*.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 1)
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (+.f64 1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (-.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))) (-.f64 (pow.f64 x 2) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (+.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))))
(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(/.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) (/.f64 (+.f64 1 (-.f64 x (hypot.f64 1 x))) (+.f64 1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
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(*.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 1))
(log1p.f64 (+.f64 (+.f64 x x) (-.f64 (/.f64 1/2 x) 1)))

simplify338.0ms (5.8%)

Algorithm
egg-herbie
Rules
386×associate-+r-
344×associate-*r*
322×fma-def
297×+-commutative
272×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057610455
116179751
274539748
Stop Event
node limit
Counts
220 → 381
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.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)))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 -5/128 (pow.f64 x 8)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
x
(-.f64 x 1)
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) 1)
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 (*.f64 x (fabs.f64 x))) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 (*.f64 x (fabs.f64 x))) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 4 (*.f64 -4 (pow.f64 (fabs.f64 x) 2))))))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 (*.f64 x (fabs.f64 x))) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -16 (pow.f64 (fabs.f64 x) 3)) (*.f64 24 (fabs.f64 x))))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 4 (*.f64 -4 (pow.f64 (fabs.f64 x) 2)))))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (log.f64 -1) (+.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 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (fabs.f64 x) 3)) (*.f64 3 (fabs.f64 x))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)))))))
(*.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 (hypot.f64 1 x) (+.f64 x 1))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(-.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 1 (+.f64 x -1)))
(-.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (+.f64 x 1)))
(-.f64 0 (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
(-.f64 (+.f64 x (+.f64 1 (hypot.f64 1 x))) 2)
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x))) (-.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) x))
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x))) (+.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) x))
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))) (-.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))) x))
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))) (+.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))) x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (-.f64 x (hypot.f64 1 x)))) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (+.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (hypot.f64 1 x) -1)))
(-.f64 (+.f64 x (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(-.f64 (+.f64 x (/.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2)))) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))))
(-.f64 (+.f64 (+.f64 (hypot.f64 1 x) -1) 0) x)
(-.f64 (+.f64 (+.f64 (hypot.f64 1 x) -1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(*.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 1)
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (+.f64 1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (-.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))) (-.f64 (pow.f64 x 2) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (+.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))))
(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(/.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) (/.f64 (+.f64 1 (-.f64 x (hypot.f64 1 x))) (+.f64 1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))
(/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))) (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (pow.f64 x 2)) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(/.f64 (-.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) 1) (+.f64 x (+.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1) (+.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) (+.f64 1 (*.f64 (+.f64 x (hypot.f64 1 x)) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (neg.f64 (+.f64 1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (/.f64 (+.f64 1 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)))) (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (cbrt.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))) (/.f64 (+.f64 1 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) 1) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (sqrt.f64 (+.f64 1 (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1 (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) 1) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 x 1))))))
(pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 3))
(expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.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 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(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)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(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))
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (+.f64 (pow.f64 x 2) 0) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 1 (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (+.f64 (pow.f64 x 2) 0))
(*.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 2) 0) (+.f64 (pow.f64 x 2) 0)) (+.f64 (hypot.f64 1 x) -1))
(*.f64 (/.f64 (+.f64 (pow.f64 x 2) 0) (-.f64 0 (pow.f64 x 2))) (-.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 2) 0) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (+.f64 (pow.f64 x 2) 2) (hypot.f64 1 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (hypot.f64 1 x) 2)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))))) (-.f64 (+.f64 (pow.f64 x 2) 0) (hypot.f64 1 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 2) 3) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (hypot.f64 1 x) 2)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x)))) (*.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x)))))
(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) -1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 2) 2) (*.f64 (hypot.f64 1 x) -1)) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(/.f64 (+.f64 (pow.f64 x 2) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (+.f64 (pow.f64 x 2) 2) (*.f64 (hypot.f64 1 x) -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 2) 0)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 0)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 (+.f64 (pow.f64 x 2) 0))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (-.f64 (+.f64 (pow.f64 x 2) 2) (*.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (-.f64 (+.f64 (pow.f64 x 2) 2) (*.f64 (hypot.f64 1 x) -1)) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 2) 0)) (cbrt.f64 (+.f64 (pow.f64 x 2) 0))) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 2) 0))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 2) 0) 1) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 2) 0) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 2) 0) (*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2)))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 (pow.f64 x 2) 2))))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(expm1.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (hypot.f64 1 x) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) -1)
(+.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(+.f64 0 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 2)) (log.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 2))) (log.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2))) (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 1/2 x) 3)))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (/.f64 1/2 x) (+.f64 (+.f64 x x) (/.f64 1/2 x))))))
(+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (exp.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))) 1)
(-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 1/2 x) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (/.f64 1/2 x) (+.f64 (+.f64 x x) (/.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2))) (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 1/2 x) 3)))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (/.f64 1/2 x) (+.f64 (+.f64 x x) (/.f64 1/2 x))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))) 1)
(-.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) 0) (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(-.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 2))) (log.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(-.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(*.f64 1 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(*.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 1))
(log1p.f64 (+.f64 (+.f64 x x) (-.f64 (/.f64 1/2 x) 1)))
Outputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 -1/8 (pow.f64 x 4)))
(+.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)))))
(+.f64 x (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6))) (fma.f64 1/2 (pow.f64 x 2) x))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 -1) (/.f64 1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) 1) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (*.f64 (pow.f64 x 5) 3/40))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 3/40))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (fma.f64 (pow.f64 x 5) 3/40 (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 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))))
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x
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(-.f64 (hypot.f64 1 x) (+.f64 x 1))
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(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(-.f64 (hypot.f64 1 x) (+.f64 x 1))
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(-.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 1 (+.f64 x -1)))
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(-.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (+.f64 x 1)))
(-.f64 (hypot.f64 1 x) (+.f64 x 1))
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(-.f64 0 (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(-.f64 (hypot.f64 1 x) (+.f64 x 1))
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(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
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(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2))))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 2))) (log.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2))))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2))) (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 1/2 x) 3)))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (/.f64 1/2 x) (+.f64 (+.f64 x x) (/.f64 1/2 x))))))
(+.f64 (-.f64 (*.f64 2 (log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))) (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x 2))))))
(+.f64 (-.f64 (*.f64 2 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))) (log.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x)) (*.f64 (pow.f64 x 2) 4))))
(+.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (exp.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))) 1)
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 1/2 x) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (/.f64 1/2 x) (+.f64 (+.f64 x x) (/.f64 1/2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x 2))))))
(-.f64 (log.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x)) (*.f64 (pow.f64 x 2) 4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))) 1)
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(-.f64 (+.f64 0 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2))) (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 1/2 x) 3)))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (/.f64 1/2 x) (+.f64 (+.f64 x x) (/.f64 1/2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x 2))))))
(-.f64 (log.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x)) (*.f64 (pow.f64 x 2) 4))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))) 1)
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(-.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) 0) (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(-.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 2))) (log.f64 (cbrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(-.f64 (*.f64 2 (log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2))))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2))))))
(-.f64 (*.f64 2 (log.f64 (fma.f64 x 2 (/.f64 1/2 x)))) (*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (-.f64 (log.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)) 2)) (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(-.f64 (*.f64 2 (log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2))))))
(*.f64 2 (-.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))))
(*.f64 1 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 2))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 2)
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 3)
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 3) 1/3)
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2))) 2))
(fabs.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) 3))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x)))) 1))
(log.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(log1p.f64 (+.f64 (+.f64 x x) (-.f64 (/.f64 1/2 x) 1)))
(log1p.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)))
(log1p.f64 (+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x)))

eval178.0ms (3.1%)

Compiler

Compiled 8393 to 6241 computations (25.6% saved)

prune126.0ms (2.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New37110381
Fresh415
Picked505
Done101
Total38111392
Accuracy
100.0%
Counts
392 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
10.1%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
32.7%
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1))) x)
24.3%
(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
31.9%
(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
55.1%
(copysign.f64 (log1p.f64 x) x)
2.7%
(copysign.f64 (log1p.f64 -1) x)
30.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x)
28.0%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
50.4%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
10.1%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
32.7%
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1))) x)
24.3%
(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
31.9%
(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
55.1%
(copysign.f64 (log1p.f64 x) x)
2.7%
(copysign.f64 (log1p.f64 -1) x)
30.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x)
28.0%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Compiler

Compiled 384 to 276 computations (28.1% saved)

localize232.0ms (4%)

Compiler

Compiled 110 to 76 computations (30.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune14.0ms (0.2%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New000
Fresh066
Picked055
Done000
Total01111
Accuracy
100.0%
Counts
11 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
10.1%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
32.7%
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1))) x)
24.3%
(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
31.9%
(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
55.1%
(copysign.f64 (log1p.f64 x) x)
2.7%
(copysign.f64 (log1p.f64 -1) x)
30.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x)
28.0%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
50.4%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
10.1%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
32.7%
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1))) x)
24.3%
(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
31.9%
(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
55.1%
(copysign.f64 (log1p.f64 x) x)
2.7%
(copysign.f64 (log1p.f64 -1) x)
30.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x)
28.0%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Compiler

Compiled 304 to 218 computations (28.3% saved)

localize341.0ms (5.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
79.1%
(log.f64 (+.f64 x (hypot.f64 1 x)))
100.0%
(*.f64 (pow.f64 x 3) -1/6)
Compiler

Compiled 122 to 81 computations (33.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite84.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
539×*-un-lft-identity
311×frac-times
290×*-commutative
252×unswap-sqr
189×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01439
114739
2168039
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 3) -1/6)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1))))
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) 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 (pow.f64 x 3) -1/6))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -1/6)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1) (*.f64 (log.f64 (sqrt.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 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 2 (log.f64 (sqrt.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 (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 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (cbrt.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))) (*.f64 (cbrt.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))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (*.f64 (sqrt.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)))))) (*.f64 (sqrt.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)))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/6))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.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 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))) (+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 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 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (*.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.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 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) 3)) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 (*.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))) (*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 3)) (+.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 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 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(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)
(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)))))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))

simplify49.0ms (0.8%)

Algorithm
egg-herbie
Rules
129×fma-def
111×+-commutative
103×associate-*r*
95×associate-*l*
66×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02584257
17134257
230744257
Stop Event
unsound
Counts
90 → 93
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1))))
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) 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 (pow.f64 x 3) -1/6))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -1/6)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1) (*.f64 (log.f64 (sqrt.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 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 2 (log.f64 (sqrt.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 (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 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (cbrt.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))) (*.f64 (cbrt.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))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (*.f64 (sqrt.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)))))) (*.f64 (sqrt.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)))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/6))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.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 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))) (+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 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 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (*.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.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 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) 3)) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 (*.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))) (*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 3)) (+.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 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 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(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)
(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)))))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
Outputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
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 (fma.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 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 (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) (+.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 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (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 2) (fma.f64 -1 (neg.f64 (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 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 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 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) -1)
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))) (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))))))
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (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 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.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)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (+.f64 0 (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 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 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 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (log.f64 (-.f64 x (hypot.f64 1 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 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (cbrt.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))) (*.f64 (cbrt.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))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (sqrt.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)))))) (*.f64 (sqrt.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)))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/6))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.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 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))) (+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 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 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (*.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (fma.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.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))))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) 3)) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 (*.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))) (*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) 3)) (fma.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (*.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 3)) (+.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 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 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 3)) (fma.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 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 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))))
(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 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(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)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))

eval52.0ms (0.9%)

Compiler

Compiled 2314 to 1759 computations (24% saved)

prune22.0ms (0.4%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New92193
Fresh011
Picked055
Done145
Total9311104
Accuracy
100.0%
Counts
104 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
10.1%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
32.7%
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1))) x)
24.3%
(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
31.9%
(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
55.1%
(copysign.f64 (log1p.f64 x) x)
30.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x)
28.0%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
51.2%
(copysign.f64 x x)
Compiler

Compiled 295 to 198 computations (32.9% saved)

regimes41.0ms (0.7%)

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

2 calls:

24.0ms
x
11.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
AccuracySegmentsBranch
99.4%2x
99.4%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 215 to 141 computations (34.4% saved)

regimes24.0ms (0.4%)

Counts
17 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 -1) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
(copysign.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 126 to 82 computations (34.9% saved)

regimes31.0ms (0.5%)

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

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
Compiler

Compiled 116 to 75 computations (35.3% saved)

regimes24.0ms (0.4%)

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

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
79.9%2x
Compiler

Compiled 107 to 70 computations (34.6% saved)

regimes22.0ms (0.4%)

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

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
79.9%2x
Compiler

Compiled 99 to 65 computations (34.3% saved)

regimes24.0ms (0.4%)

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

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
80.5%3x
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes21.0ms (0.4%)

Counts
9 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 -1) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
(copysign.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 x x)
(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
80.5%3x
Compiler

Compiled 59 to 41 computations (30.5% saved)

regimes17.0ms (0.3%)

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

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
80.3%3x
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes9.0ms (0.2%)

Counts
4 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 -1) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
72.8%2x
Compiler

Compiled 20 to 12 computations (40% saved)

regimes7.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 -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
57.2%2x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes5.0ms (0.1%)

Accuracy

Total -31.0b remaining (-99.2%)

Threshold costs -31b (-99.2%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
51.2%1x
Compiler

Compiled 10 to 6 computations (40% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.22521051078942
-5.315581307038785e-10
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-8651866845043792000.0
-14350.596942340526
Results
19.0ms160×body256valid
Compiler

Compiled 247 to 182 computations (26.3% saved)

bsearch42.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
2.706424168962213e-8
232787428.3701581
22.0ms
-252.6637148231761
-5.315582164908132e-10
Results
38.0ms320×body256valid
Compiler

Compiled 447 to 332 computations (25.7% saved)

bsearch15.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
8.487464902717313e-10
2.706424168962213e-8
Results
13.0ms112×body256valid
Compiler

Compiled 136 to 96 computations (29.4% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
2.706424168962213e-8
232787428.3701581
Results
19.0ms160×body256valid
Compiler

Compiled 187 to 142 computations (24.1% saved)

bsearch42.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2.706424168962213e-8
232787428.3701581
21.0ms
-252.6637148231761
-5.315582164908132e-10
Results
38.0ms320×body256valid
Compiler

Compiled 427 to 322 computations (24.6% saved)

bsearch42.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2.706424168962213e-8
232787428.3701581
21.0ms
-252.6637148231761
-5.315582164908132e-10
Results
38.0ms320×body256valid
Compiler

Compiled 307 to 222 computations (27.7% saved)

bsearch41.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
2.706424168962213e-8
232787428.3701581
21.0ms
-252.6637148231761
-5.315582164908132e-10
Results
37.0ms320×body256valid
Compiler

Compiled 287 to 202 computations (29.6% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
2.706424168962213e-8
232787428.3701581
Results
18.0ms160×body256valid
Compiler

Compiled 147 to 102 computations (30.6% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
2.706424168962213e-8
232787428.3701581
Results
19.0ms160×body256valid
Compiler

Compiled 127 to 82 computations (35.4% saved)

simplify19.0ms (0.3%)

Algorithm
egg-herbie
Rules
13×+-commutative
sub-neg
*-commutative
neg-sub0
unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086862
1109854
2122854
3136854
4138854
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 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -14500) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)))
(if (<=.f64 x 4835703278458517/302231454903657293676544) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x))
(if (<=.f64 x 1) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x))
(if (<=.f64 x -2206763817411543/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (*.f64 x 2)) x)))
(if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (*.f64 x 2)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -5) (copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -5) (copysign.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -14500) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -14500) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -14500) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -14500) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 x 2) 1)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 x 2) 1)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log1p.f64 (+.f64 -1 (*.f64 x 2))) x)))
(if (<=.f64 x 4835703278458517/302231454903657293676544) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x))
(if (<=.f64 x 1) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x))
(if (<=.f64 x 1) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 x 2) 1)) x))
(if (<=.f64 x 1) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log1p.f64 (+.f64 -1 (*.f64 x 2))) x))
(if (<=.f64 x -2206763817411543/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)))
(if (<=.f64 x -2206763817411543/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 x 2) 1)) x)))
(if (<=.f64 x -2206763817411543/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log1p.f64 (+.f64 -1 (*.f64 x 2))) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 x 2) 1)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (+.f64 -1 (*.f64 x 2))) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (*.f64 x 2)) x)))
(if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (*.f64 x 2)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 242 to 167 computations (31% saved)

soundness1.4s (23.8%)

Rules
690×associate-/r*
690×associate-/r*
396×associate-*r*
386×associate-+r-
386×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016125
1244109
22253109
057610455
116179751
274539748
020110
1306102
2442796
057610455
116179751
274539748
057610455
116179751
274539748
057610455
116179751
274539748
07385628
119545628
020110
1306102
2442796
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 638 to 459 computations (28.1% saved)

end0.0ms (0%)

preprocess197.0ms (3.4%)

Compiler

Compiled 532 to 332 computations (37.6% saved)

Profiling

Loading profile data...