Rust f64::asinh

Time bar (total: 8.3s)

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)

sample624.0ms (7.5%)

Results
614.0ms8256×body256valid
Bogosity

preprocess158.0ms (1.9%)

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

Useful iterations: 1 (0.0ms)

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

Compiled 64 to 34 computations (46.9% saved)

eval1.0ms (0%)

Compiler

Compiled 21 to 13 computations (38.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
52.7%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 20 to 14 computations (30% saved)

localize228.0ms (2.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
52.7%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite163.0ms (2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
111723
2154723
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))

simplify70.0ms (0.8%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
02153060
15382944
216412647
358152521
Stop Event
node limit
Counts
61 → 114
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (+.f64 (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))
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(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))

eval64.0ms (0.8%)

Compiler

Compiled 2345 to 1647 computations (29.8% saved)

prune67.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New10014114
Fresh000
Picked101
Done000
Total10114115
Accuracy
99.7%
Counts
115 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (log1p.f64 x))) x)
52.4%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
29.2%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
10.0%
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
9.1%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
29.1%
(copysign.f64 (*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
9.5%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
29.6%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
75.4%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
65.5%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
57.7%
(copysign.f64 (log1p.f64 x) x)
29.2%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
19.4%
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
29.1%
(copysign.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) x)
51.9%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (log1p.f64 x))) x)
52.4%
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
29.2%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
10.0%
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
9.1%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
29.1%
(copysign.f64 (*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
9.5%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
29.6%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
75.4%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
65.5%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
57.7%
(copysign.f64 (log1p.f64 x) x)
29.2%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
19.4%
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
29.1%
(copysign.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) x)
Compiler

Compiled 648 to 476 computations (26.5% saved)

localize977.0ms (11.8%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
53.1%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
53.1%
(log.f64 (+.f64 x (hypot.f64 1 x)))
77.4%
(-.f64 (hypot.f64 1 x) x)
53.1%
(log.f64 (-.f64 (hypot.f64 1 x) x))
100.0%
(log1p.f64 x)
100.0%
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
73.9%
(-.f64 (hypot.f64 1 x) 1)
Compiler

Compiled 133 to 86 computations (35.3% saved)

series7.0ms (0.1%)

Counts
7 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
1.0ms
x
@-inf
(log1p.f64 x)
1.0ms
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)))
0.0ms
x
@0
(log.f64 (-.f64 (hypot.f64 1 x) x))

rewrite119.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1003×log1p-expm1-u
812×expm1-log1p-u
452×expm1-udef
450×log1p-udef
156×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018153
1300135
24420135
Stop Event
node limit
Counts
7 → 245
Calls
Call 1
Inputs
(-.f64 (hypot.f64 1 x) 1)
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 x)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Outputs
(+.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 (pow.f64 x 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) 1) (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) 1) (hypot.f64 1 x)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) 1) (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 1 (*.f64 (hypot.f64 1 x) -1))))
(/.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (neg.f64 (+.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) 1) (hypot.f64 1 x))))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(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 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(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))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)

simplify215.0ms (2.6%)

Algorithm
egg-herbie
Rules
1016×fma-neg
724×fma-def
670×sub-neg
650×times-frac
576×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050213855
1127912813
2470512809
Stop Event
node limit
Counts
329 → 382
Calls
Call 1
Inputs
(*.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))))
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)))
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(-.f64 (log.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
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x
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x
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x
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(*.f64 -1 x)
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(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/6)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 (*.f64 (pow.f64 x 5) -3/40)) x)
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1
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(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
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(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(*.f64 (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 -2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (-.f64 (-.f64 -2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 -2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval203.0ms (2.4%)

Compiler

Compiled 6816 to 5140 computations (24.6% saved)

prune106.0ms (1.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New37210382
Fresh729
Picked325
Done000
Total38214396
Accuracy
100.0%
Counts
396 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.2%
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
52.0%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
53.1%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
29.1%
(copysign.f64 (*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
25.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
11.9%
(copysign.f64 (neg.f64 (log.f64 (-.f64 1 x))) x)
25.9%
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
4.1%
(copysign.f64 (neg.f64 (log.f64 1)) x)
65.6%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1)))) x)
75.4%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
33.3%
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
57.7%
(copysign.f64 (log1p.f64 x) x)
29.2%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
11.5%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
26.2%
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
52.0%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
53.1%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
29.1%
(copysign.f64 (*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
25.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
11.9%
(copysign.f64 (neg.f64 (log.f64 (-.f64 1 x))) x)
25.9%
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
4.1%
(copysign.f64 (neg.f64 (log.f64 1)) x)
65.6%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1)))) x)
75.4%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
33.3%
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
57.7%
(copysign.f64 (log1p.f64 x) x)
29.2%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
11.5%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
Compiler

Compiled 500 to 366 computations (26.8% saved)

localize621.0ms (7.5%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (pow.f64 x 3) -1/6)
53.1%
(log.f64 (-.f64 1 x))
100.0%
(-.f64 (hypot.f64 1 x) -1)
100.0%
(log1p.f64 (+.f64 x (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1))))
100.0%
(/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1))
Compiler

Compiled 137 to 94 computations (31.4% saved)

series4.0ms (0%)

Counts
5 → 60
Calls

15 calls:

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

rewrite99.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1022×fma-def
833×log1p-expm1-u
832×expm1-log1p-u
462×fma-neg
426×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021121
127489
2366889
Stop Event
node limit
Counts
5 → 127
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1))
(log1p.f64 (+.f64 x (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1))))
(-.f64 (hypot.f64 1 x) -1)
(log.f64 (-.f64 1 x))
(*.f64 (pow.f64 x 3) -1/6)
Outputs
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) 1)
(*.f64 x (*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 (neg.f64 (hypot.f64 1 x)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (pow.f64 x 2))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (pow.f64 x 2)) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1)) (+.f64 (fma.f64 x x 1) (fma.f64 (hypot.f64 1 x) -1 1)))
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (+.f64 (hypot.f64 1 x) -1))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) -1)) -1)
(neg.f64 (/.f64 (pow.f64 x 2) (+.f64 (neg.f64 (hypot.f64 1 x)) -1)))
(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)))
(expm1.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1))
(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 (hypot.f64 1 x) 1 -1)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) -1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))) 1)
(*.f64 1 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(*.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2)) (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) (sqrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2))
(log.f64 (+.f64 (+.f64 x 1) (+.f64 (hypot.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) 1))
(+.f64 1 (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) 1)
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 1 (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1) (/.f64 1 (+.f64 (fma.f64 x x 1) (fma.f64 (hypot.f64 1 x) -1 1))))
(/.f64 (pow.f64 x 2) (+.f64 (hypot.f64 1 x) -1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (fma.f64 (hypot.f64 1 x) -1 1)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1)))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 x) -1) (pow.f64 x 2)))
(/.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1) (+.f64 (fma.f64 x x 1) (fma.f64 (hypot.f64 1 x) -1 1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1) (+.f64 (fma.f64 x x 1) (-.f64 1 (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1)) (neg.f64 (+.f64 (fma.f64 x x 1) (fma.f64 (hypot.f64 1 x) -1 1))))
(pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x))))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))
(fma.f64 1 (hypot.f64 1 x) 1)
(fma.f64 (hypot.f64 1 x) 1 1)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) 1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)
(+.f64 0 (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (log.f64 (cbrt.f64 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x)))) 1)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 x))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 3))) (log1p.f64 (fma.f64 x x x)))
(*.f64 1 (log1p.f64 (neg.f64 x)))
(*.f64 (log1p.f64 (neg.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(pow.f64 (log1p.f64 (neg.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (neg.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) 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 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (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)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) -1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))

simplify84.0ms (1%)

Algorithm
egg-herbie
Rules
1354×unswap-sqr
824×distribute-rgt-in
814×distribute-lft-in
462×log-prod
388×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03805473
19205200
231915082
Stop Event
node limit
Counts
187 → 289
Calls
Call 1
Inputs
(*.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))))
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)))))
2
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.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 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 x (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(*.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))
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) 1)
(*.f64 x (*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 (neg.f64 (hypot.f64 1 x)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (pow.f64 x 2))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (pow.f64 x 2)) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1)) (+.f64 (fma.f64 x x 1) (fma.f64 (hypot.f64 1 x) -1 1)))
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (+.f64 (hypot.f64 1 x) -1))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) -1)) -1)
(neg.f64 (/.f64 (pow.f64 x 2) (+.f64 (neg.f64 (hypot.f64 1 x)) -1)))
(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)))
(expm1.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1))
(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 (hypot.f64 1 x) 1 -1)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) -1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))) 1)
(*.f64 1 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(*.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2)) (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) (sqrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2))
(log.f64 (+.f64 (+.f64 x 1) (+.f64 (hypot.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) 1))
(+.f64 1 (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) 1)
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 1 (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1) (/.f64 1 (+.f64 (fma.f64 x x 1) (fma.f64 (hypot.f64 1 x) -1 1))))
(/.f64 (pow.f64 x 2) (+.f64 (hypot.f64 1 x) -1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (fma.f64 (hypot.f64 1 x) -1 1)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1)))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 x) -1) (pow.f64 x 2)))
(/.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1) (+.f64 (fma.f64 x x 1) (fma.f64 (hypot.f64 1 x) -1 1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1) (+.f64 (fma.f64 x x 1) (-.f64 1 (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1)) (neg.f64 (+.f64 (fma.f64 x x 1) (fma.f64 (hypot.f64 1 x) -1 1))))
(pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x))))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))
(fma.f64 1 (hypot.f64 1 x) 1)
(fma.f64 (hypot.f64 1 x) 1 1)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) 1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)
(+.f64 0 (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (log.f64 (cbrt.f64 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x)))) 1)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 x))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 3))) (log1p.f64 (fma.f64 x x x)))
(*.f64 1 (log1p.f64 (neg.f64 x)))
(*.f64 (log1p.f64 (neg.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(pow.f64 (log1p.f64 (neg.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (neg.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) 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 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (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)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) -1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 6))))
(+.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)))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -5/128 (pow.f64 x 8) (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -5/128 (pow.f64 x 8) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 6)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) 1)
(+.f64 x (-.f64 (/.f64 1/2 x) 1))
(+.f64 x (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (+.f64 x (+.f64 -1 (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 (-.f64 x (/.f64 -1/2 x)) (+.f64 -1 (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x -1) (/.f64 1/2 x))
(+.f64 (fma.f64 x -1 -1) (/.f64 -1/2 x))
(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (+.f64 -1 (/.f64 -1/2 x)))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.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) (log.f64 x)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.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 2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 2))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (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 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 -5/96 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2))))))
2
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) 2)
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fma.f64 1/2 (pow.f64 x 2) 2))
(+.f64 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 2 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6))) (fma.f64 1/2 (pow.f64 x 2) 2))
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(+.f64 (+.f64 x 1) (/.f64 1/2 x))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(+.f64 1 (-.f64 x (/.f64 -1/2 x)))
(-.f64 (+.f64 1 (+.f64 x (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 x 1) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 1 (+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 1 (+.f64 (-.f64 x (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (-.f64 1 x) (/.f64 1/2 x))
(+.f64 (-.f64 1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 1 (+.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 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (+.f64 1 (/.f64 -1/2 x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 (neg.f64 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))
(-.f64 (fma.f64 (pow.f64 x 2) -1/2 (*.f64 (pow.f64 x 3) -1/3)) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 4) -1/4))))
(-.f64 (fma.f64 (pow.f64 x 2) -1/2 (fma.f64 (pow.f64 x 4) -1/4 (*.f64 (pow.f64 x 3) -1/3))) x)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1))
(+.f64 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1)) (/.f64 1 x))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (log.f64 x) (/.f64 -1 x)) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/3 (pow.f64 x 3))))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (pow.f64 x 2)))) (/.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1/2 (pow.f64 x 2))) (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1/2 (pow.f64 x 2))) (log.f64 (/.f64 -1 x))) (/.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(+.f64 -1 (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) 1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (pow.f64 x 2)) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 (neg.f64 (hypot.f64 1 x)) -1)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x 2)) 1) (+.f64 -1 (neg.f64 (hypot.f64 1 x))))
(/.f64 (neg.f64 (pow.f64 x 2)) (-.f64 -1 (hypot.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))
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(*.f64 (pow.f64 x 3) -1/6)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 (pow.f64 x 3) -1/6)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3))
(*.f64 (pow.f64 x 3) -1/6)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (pow.f64 x 3) -1/6)
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (pow.f64 x 3) -1/6)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) -1/6)) 1))
(*.f64 (pow.f64 x 3) -1/6)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (pow.f64 x 3) -1/6)

eval121.0ms (1.5%)

Compiler

Compiled 4813 to 3582 computations (25.6% saved)

prune64.0ms (0.8%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New2872289
Fresh077
Picked145
Done022
Total28815303
Accuracy
100.0%
Counts
303 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.2%
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
52.0%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
53.1%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
29.1%
(copysign.f64 (*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
58.1%
(copysign.f64 (neg.f64 (log1p.f64 (neg.f64 x))) x)
25.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
11.9%
(copysign.f64 (neg.f64 (log.f64 (-.f64 1 x))) x)
25.9%
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
4.1%
(copysign.f64 (neg.f64 (log.f64 1)) x)
75.4%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
76.1%
(copysign.f64 (log1p.f64 (+.f64 x (*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x)))))) x)
33.3%
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
57.7%
(copysign.f64 (log1p.f64 x) x)
29.2%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
11.5%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
26.2%
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
52.0%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
53.1%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
29.1%
(copysign.f64 (*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
58.1%
(copysign.f64 (neg.f64 (log1p.f64 (neg.f64 x))) x)
25.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
11.9%
(copysign.f64 (neg.f64 (log.f64 (-.f64 1 x))) x)
25.9%
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
4.1%
(copysign.f64 (neg.f64 (log.f64 1)) x)
75.4%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
76.1%
(copysign.f64 (log1p.f64 (+.f64 x (*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x)))))) x)
33.3%
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
57.7%
(copysign.f64 (log1p.f64 x) x)
29.2%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
11.5%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
Compiler

Compiled 474 to 346 computations (27% saved)

localize556.0ms (6.7%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
99.8%
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
71.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
71.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
71.2%
(log.f64 (+.f64 1 x))
100.0%
(+.f64 1 (hypot.f64 1 x))
100.0%
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))
100.0%
(log1p.f64 (+.f64 x (*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))))
100.0%
(/.f64 x (+.f64 1 (hypot.f64 1 x)))
Compiler

Compiled 184 to 129 computations (29.9% saved)

series31.0ms (0.4%)

Counts
7 → 84
Calls

21 calls:

TimeVariablePointExpression
28.0ms
x
@inf
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
1.0ms
x
@inf
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
0.0ms
x
@-inf
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
0.0ms
x
@0
(/.f64 x (+.f64 1 (hypot.f64 1 x)))
0.0ms
x
@0
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))

rewrite117.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1033×log1p-expm1-u
741×expm1-log1p-u
504×expm1-udef
502×log1p-udef
200×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022182
1340175
24380175
Stop Event
node limit
Counts
7 → 177
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (hypot.f64 1 x)))
(log1p.f64 (+.f64 x (*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(+.f64 1 (hypot.f64 1 x))
(log.f64 (+.f64 1 x))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (hypot.f64 1 x) 2))) (-.f64 1 (hypot.f64 1 x)))
(pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) -1)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (hypot.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))) 1)
(*.f64 1 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(*.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 2) (cbrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) (sqrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))))
(pow.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 2))
(log.f64 (+.f64 1 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))))) 1)
(/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(/.f64 x (*.f64 (/.f64 1 x) (+.f64 1 (hypot.f64 1 x))))
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) (/.f64 1 x)))
(/.f64 1 (/.f64 1 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 x 2)))
(/.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) (/.f64 1 x))
(/.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))) 1)
(/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 1 x) (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(/.f64 (neg.f64 x) (*.f64 -1 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) -1))
(/.f64 (neg.f64 x) (*.f64 (+.f64 -1 (neg.f64 (hypot.f64 1 x))) (/.f64 1 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))) -1)
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 -1 (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 -1 (neg.f64 (hypot.f64 1 x))) -1))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (neg.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (+.f64 1 (hypot.f64 1 x)) -1))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 -1 (neg.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 -1 (neg.f64 (hypot.f64 1 x))) 1))
(/.f64 (neg.f64 (pow.f64 x 2)) (+.f64 -1 (neg.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x (+.f64 1 (hypot.f64 1 x)))) -1)
(/.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) (neg.f64 x)) -1)
(/.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))))
(exp.f64 (-.f64 (log.f64 (pow.f64 x 2)) (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 x 2)) (log1p.f64 (hypot.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 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 1 (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 2)) (/.f64 1 (-.f64 1 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x))) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (hypot.f64 1 x)) (-.f64 1 (pow.f64 (hypot.f64 1 x) 2))))
(/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) 1))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (-.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 2)) (-.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 2))) (neg.f64 (-.f64 1 (hypot.f64 1 x))))
(pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x))))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))
(fma.f64 1 (hypot.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1))

simplify122.0ms (1.5%)

Algorithm
egg-herbie
Rules
574×cube-prod
488×sub-neg
466×log-prod
456×fma-def
416×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05478510
113978201
250658191
Stop Event
node limit
Counts
261 → 402
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/16 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -5/128 (pow.f64 x 7)) (+.f64 (*.f64 1/16 (pow.f64 x 5)) (*.f64 1/2 x))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 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))))
2
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.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 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 x (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 x)))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(*.f64 3 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 3 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 9/40 (pow.f64 x 5)) (*.f64 3 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -15/112 (pow.f64 x 7)) (+.f64 (*.f64 9/40 (pow.f64 x 5)) (*.f64 3 x))))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
(*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(-.f64 (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 9/32 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 9/32 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (hypot.f64 1 x) 2))) (-.f64 1 (hypot.f64 1 x)))
(pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) -1)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (hypot.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))) 1)
(*.f64 1 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(*.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 2) (cbrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) (sqrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))))
(pow.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 2))
(log.f64 (+.f64 1 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))))) 1)
(/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(/.f64 x (*.f64 (/.f64 1 x) (+.f64 1 (hypot.f64 1 x))))
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) (/.f64 1 x)))
(/.f64 1 (/.f64 1 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 x 2)))
(/.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) (/.f64 1 x))
(/.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))) 1)
(/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 1 x) (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(/.f64 (neg.f64 x) (*.f64 -1 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) -1))
(/.f64 (neg.f64 x) (*.f64 (+.f64 -1 (neg.f64 (hypot.f64 1 x))) (/.f64 1 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))) -1)
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 -1 (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 -1 (neg.f64 (hypot.f64 1 x))) -1))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (neg.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (+.f64 1 (hypot.f64 1 x)) -1))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 -1 (neg.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 -1 (neg.f64 (hypot.f64 1 x))) 1))
(/.f64 (neg.f64 (pow.f64 x 2)) (+.f64 -1 (neg.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x (+.f64 1 (hypot.f64 1 x)))) -1)
(/.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) (neg.f64 x)) -1)
(/.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))))
(exp.f64 (-.f64 (log.f64 (pow.f64 x 2)) (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 x 2)) (log1p.f64 (hypot.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 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 1 (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 2)) (/.f64 1 (-.f64 1 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x))) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (hypot.f64 1 x)) (-.f64 1 (pow.f64 (hypot.f64 1 x) 2))))
(/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) 1))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (-.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 2)) (-.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 2))) (neg.f64 (-.f64 1 (hypot.f64 1 x))))
(pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x))))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))
(fma.f64 1 (hypot.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 3)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/16 (pow.f64 x 5)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/16 (pow.f64 x 5) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 5))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -5/128 (pow.f64 x 7)) (+.f64 (*.f64 1/16 (pow.f64 x 5)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -5/128 (pow.f64 x 7) (fma.f64 1/16 (pow.f64 x 5) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -5/128 (pow.f64 x 7) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 5)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1 x)) (/.f64 1/8 (pow.f64 x 4))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 -1 (+.f64 (/.f64 -1/2 (pow.f64 x 2)) (/.f64 -1 x)))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 -1 (+.f64 (/.f64 -1/2 (pow.f64 x 2)) (/.f64 -1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 4)) (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.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 x (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.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 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (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 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (/.f64 -1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 6))))
(+.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)))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -5/128 (pow.f64 x 8) (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -5/128 (pow.f64 x 8) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 6)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) 1)
(+.f64 x (-.f64 (/.f64 1/2 x) 1))
(+.f64 x (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
(-.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (/.f64 1/8 (pow.f64 x 3)))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x -1) (/.f64 1/2 x))
(+.f64 (fma.f64 x -1 -1) (/.f64 -1/2 x))
(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (+.f64 -1 (/.f64 -1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))
2
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) 2)
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fma.f64 1/2 (pow.f64 x 2) 2))
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(+.f64 2 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 6)))))
x
(+.f64 1 x)
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(+.f64 1 (+.f64 x (/.f64 1/2 x)))
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(-.f64 (+.f64 1 (+.f64 x (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
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(+.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 1 (/.f64 1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
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(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1 (-.f64 (fma.f64 -1 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (+.f64 1 (/.f64 -1/2 x)))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))
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(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/3))))
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(+.f64 (fma.f64 (pow.f64 x 2) -1/2 x) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 4) -1/4)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
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(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (pow.f64 x 2))))
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(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
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(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
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(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2)))
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(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (pow.f64 x 2)))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (*.f64 (pow.f64 x 5) 3/40))
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(+.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 x (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40)))
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(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
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(-.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 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (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 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (/.f64 -1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 3 x))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x 3))
(fma.f64 x 3 (*.f64 (pow.f64 x 3) -1/2))
(fma.f64 (pow.f64 x 3) -1/2 (*.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 9/40 (pow.f64 x 5)) (*.f64 3 x)))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 9/40 (pow.f64 x 5) (*.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 x 3 (*.f64 (pow.f64 x 5) 9/40)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -15/112 (pow.f64 x 7)) (+.f64 (*.f64 9/40 (pow.f64 x 5)) (*.f64 3 x))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -15/112 (pow.f64 x 7) (fma.f64 9/40 (pow.f64 x 5) (*.f64 x 3))))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 7) -15/112 (fma.f64 x 3 (*.f64 (pow.f64 x 5) 9/40))))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(*.f64 3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 3/4 (pow.f64 x 2)))
(fma.f64 3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 3/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 3/4 (pow.f64 x 2))) (/.f64 9/32 (pow.f64 x 4)))
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(-.f64 (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
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(*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(-.f64 (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 3/4 (pow.f64 x 2))))
(fma.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -3/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 9/32 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
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(-.f64 (+.f64 (*.f64 9/32 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))))) 1)
(/.f64 x (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 x (+.f64 1 (hypot.f64 1 x)))
(*.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(/.f64 x (+.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) 1)
(/.f64 x (+.f64 1 (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(/.f64 x (+.f64 1 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2))
(/.f64 x (+.f64 1 (hypot.f64 1 x)))
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(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (-.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (-.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 2)) (hypot.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 2)) (-.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 2)) (hypot.f64 1 x))))
(/.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 -1 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 -1 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 2))) (neg.f64 (-.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 2)) (+.f64 -1 (hypot.f64 1 x)))
(pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(+.f64 1 (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)
(+.f64 1 (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)
(+.f64 1 (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)
(+.f64 1 (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))
(+.f64 1 (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))
(+.f64 1 (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))
(+.f64 1 (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))
(+.f64 1 (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x))))
(+.f64 1 (hypot.f64 1 x))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))
(+.f64 1 (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) 1)
(+.f64 1 (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) 1)
(+.f64 1 (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)
(+.f64 1 (hypot.f64 1 x))
(+.f64 0 (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(log1p.f64 x)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(log1p.f64 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 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9))
(fabs.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)))
(log1p.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) -1))
(log.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 0))
(log1p.f64 (+.f64 -1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1))
(log1p.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) -1))
(log.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 0))
(log1p.f64 (+.f64 -1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))

eval337.0ms (4.1%)

Compiler

Compiled 7392 to 5444 computations (26.4% saved)

prune129.0ms (1.6%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New4073410
Fresh044
Picked235
Done246
Total41114425
Accuracy
100.0%
Counts
425 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.2%
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
52.0%
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
53.1%
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
53.4%
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
29.1%
(copysign.f64 (*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
58.1%
(copysign.f64 (neg.f64 (log1p.f64 (neg.f64 x))) x)
25.0%
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
25.9%
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
76.1%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) x)
75.4%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
33.3%
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
57.7%
(copysign.f64 (log1p.f64 x) x)
29.2%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
53.6%
(copysign.f64 x x)
Compiler

Compiled 432 to 297 computations (31.3% saved)

regimes86.0ms (1%)

Counts
31 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 1)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
(copysign.f64 (neg.f64 (log1p.f64 (neg.f64 x))) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
(copysign.f64 (*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) x)
(copysign.f64 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.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 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1)))) x)
(copysign.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (log1p.f64 x))) x)
Outputs
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) x)
Calls

2 calls:

67.0ms
x
11.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
AccuracySegmentsBranch
99.9%2x
99.9%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 316 to 214 computations (32.3% saved)

regimes27.0ms (0.3%)

Counts
22 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 1)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
(copysign.f64 (neg.f64 (log1p.f64 (neg.f64 x))) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
(copysign.f64 (*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
Outputs
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 167 to 112 computations (32.9% saved)

regimes31.0ms (0.4%)

Counts
18 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 1)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
(copysign.f64 (neg.f64 (log1p.f64 (neg.f64 x))) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
Outputs
(copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
Calls

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
Compiler

Compiled 121 to 80 computations (33.9% saved)

regimes36.0ms (0.4%)

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

1 calls:

29.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
Compiler

Compiled 112 to 73 computations (34.8% saved)

regimes30.0ms (0.4%)

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

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 103 to 67 computations (35% saved)

regimes24.0ms (0.3%)

Counts
12 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 1)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
(copysign.f64 (neg.f64 (log1p.f64 (neg.f64 x))) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 x x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 74 to 49 computations (33.8% saved)

regimes29.0ms (0.3%)

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

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 67 to 44 computations (34.3% saved)

regimes13.0ms (0.2%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
81.7%2x
Compiler

Compiled 46 to 29 computations (37% saved)

regimes10.0ms (0.1%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
75.9%2x
Compiler

Compiled 34 to 21 computations (38.2% saved)

regimes13.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 1)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
Outputs
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
59.8%2x
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes11.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 1)) x)
Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
59.8%2x
Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes4.0ms (0%)

Accuracy

Total -0.2b remaining (-0.6%)

Threshold costs -0.2b (-0.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 1/3 (*.f64 x 3)) x)
Outputs
(copysign.f64 x x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
53.6%1x
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-25.801998061380765
-0.1946847174836013
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch26.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-80285179828.38603
-0.1959168781210712
Results
21.0ms160×body256valid
Compiler

Compiled 247 to 192 computations (22.3% saved)

bsearch48.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
1.941012654952689e-7
2423658884.1596923
24.0ms
-80285179828.38603
-0.1959168781210712
Results
43.0ms320×body256valid
Compiler

Compiled 437 to 332 computations (24% saved)

bsearch45.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
1.941012654952689e-7
2423658884.1596923
21.0ms
-0.1959168781210712
-0.0004635052401524619
Results
41.0ms288×body256valid
Compiler

Compiled 393 to 290 computations (26.2% saved)

bsearch51.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.941012654952689e-7
2423658884.1596923
26.0ms
-80285179828.38603
-0.1959168781210712
Results
44.0ms320×body256valid
Compiler

Compiled 417 to 312 computations (25.2% saved)

bsearch49.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.941012654952689e-7
2423658884.1596923
27.0ms
-80285179828.38603
-0.1959168781210712
Results
45.0ms320×body256valid
Compiler

Compiled 297 to 212 computations (28.6% saved)

bsearch88.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.941012654952689e-7
2423658884.1596923
62.0ms
-80285179828.38603
-0.1959168781210712
Results
84.0ms320×body256valid
Compiler

Compiled 287 to 192 computations (33.1% saved)

bsearch23.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
1.941012654952689e-7
2423658884.1596923
Results
21.0ms160×body256valid
Compiler

Compiled 177 to 122 computations (31.1% saved)

bsearch26.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
1.941012654952689e-7
2423658884.1596923
Results
24.0ms160×body256valid
Compiler

Compiled 147 to 92 computations (37.4% saved)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
1.941012654952689e-7
2423658884.1596923
Results
23.0ms160×body256valid
Compiler

Compiled 147 to 102 computations (30.6% saved)

bsearch23.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
1.941012654952689e-7
2423658884.1596923
Results
22.0ms160×body256valid
Compiler

Compiled 127 to 82 computations (35.4% saved)

simplify17.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
093978
1118978
2132978
3142978
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) -20) (copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) x))
(if (<=.f64 x -10500) (copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -5/4) (copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5072854620270127/4611686018427387904) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 x x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 (+.f64 x x)) x)))
(if (<=.f64 x 1/2) (copysign.f64 (neg.f64 (log1p.f64 (neg.f64 x))) x) (copysign.f64 (log1p.f64 (+.f64 x x)) x))
(if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 (+.f64 x x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 1 x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) x))
(if (<=.f64 x -10500) (copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -10500) (copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) x))
(if (<=.f64 x -5/4) (copysign.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5072854620270127/4611686018427387904) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 x x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 (+.f64 x x)) x)))
(if (<=.f64 x 1/2) (copysign.f64 (neg.f64 (log1p.f64 (neg.f64 x))) x) (copysign.f64 (log1p.f64 (+.f64 x x)) x))
(if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 (+.f64 x x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 1 x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x 1)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 275 to 189 computations (31.3% saved)

soundness2.1s (24.8%)

Rules
1376×fma-def
1376×fma-def
1376×fma-def
1354×unswap-sqr
1046×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
12972
23472
33772
44572
55272
66472
77772
89172
910372
1014672
1120472
1222372
1324372
1425172
1525572
01127
111723
2154723
02153060
15382944
216412647
358152521
018153
1300135
24420135
021121
127489
2366889
022182
1340175
24380175
02153060
15382944
216412647
358152521
018153
1300135
24420135
01127
111723
2154723
02153060
15382944
216412647
358152521
050213855
1127912813
2470512809
021121
127489
2366889
03805473
19205200
231915082
050213855
1127912813
2470512809
050213855
1127912813
2470512809
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 1229 to 844 computations (31.3% saved)

end0.0ms (0%)

preprocess213.0ms (2.6%)

Compiler

Compiled 596 to 378 computations (36.6% saved)

Profiling

Loading profile data...