Rust f64::asinh

Time bar (total: 3.5s)

analyze0.0ms (0%)

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

Compiled 4 to 3 computations (25% saved)

sample770.0ms (21.9%)

Results
758.0ms8256×body256valid
Bogosity

preprocess13.0ms (0.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(asinh.f64 x)
Outputs
(asinh.f64 x)
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify14.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
hypot-1-def
fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
11827
21927
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 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)

eval1.0ms (0%)

Compiler

Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
55.8%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
55.8%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 20 to 14 computations (30% saved)

localize115.0ms (3.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
55.8%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1644×pow1
1516×add-exp-log
1516×log1p-expm1-u
1516×expm1-log1p-u
1480×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
117930
2231430
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
Outputs
(+.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 (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 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.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)))))
(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)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

simplify86.0ms (2.4%)

Algorithm
egg-herbie
Rules
1802×fma-def
1310×fma-neg
744×unswap-sqr
508×distribute-lft-in
496×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02232866
15932444
218822068
377702064
Stop Event
node limit
Counts
80 → 149
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.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 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (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 (*.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 (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 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (*.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 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 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 (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 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.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)))))
(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)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
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(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval53.0ms (1.5%)

Compiler

Compiled 2603 to 1683 computations (35.3% saved)

prune33.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New13811149
Fresh000
Picked101
Done000
Total13911150
Accurracy
99.7%
Counts
150 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
48.2%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
8.8%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
63.3%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
53.9%
(copysign.f64 (log1p.f64 x) x)
30.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
27.4%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.3%
(copysign.f64 (log.f64 (+.f64 x x)) x)
10.8%
(copysign.f64 (log.f64 (neg.f64 x)) x)
2.7%
(copysign.f64 (log.f64 0) x)
49.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
48.2%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
8.8%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
63.3%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
53.9%
(copysign.f64 (log1p.f64 x) x)
30.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
27.4%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.3%
(copysign.f64 (log.f64 (+.f64 x x)) x)
10.8%
(copysign.f64 (log.f64 (neg.f64 x)) x)
2.7%
(copysign.f64 (log.f64 0) x)
Compiler

Compiled 372 to 244 computations (34.4% saved)

localize104.0ms (3%)

Compiler

Compiled 82 to 45 computations (45.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune13.0ms (0.4%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New000
Fresh066
Picked055
Done000
Total01111
Accurracy
99.7%
Counts
11 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
48.2%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
8.8%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
63.3%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
53.9%
(copysign.f64 (log1p.f64 x) x)
30.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
27.4%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.3%
(copysign.f64 (log.f64 (+.f64 x x)) x)
10.8%
(copysign.f64 (log.f64 (neg.f64 x)) x)
2.7%
(copysign.f64 (log.f64 0) x)
49.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
48.2%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
8.8%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
63.3%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
53.9%
(copysign.f64 (log1p.f64 x) x)
30.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
27.4%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.3%
(copysign.f64 (log.f64 (+.f64 x x)) x)
10.8%
(copysign.f64 (log.f64 (neg.f64 x)) x)
2.7%
(copysign.f64 (log.f64 0) x)
Compiler

Compiled 302 to 196 computations (35.1% saved)

localize157.0ms (4.5%)

Local Accuracy

Found 5 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))
90.6%
(/.f64 (*.f64 x x) (+.f64 1 x))
100.0%
(+.f64 x (hypot.f64 1 x))
82.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
99.6%
(log.f64 (+.f64 x x))
Compiler

Compiled 103 to 48 computations (53.4% saved)

series53.0ms (1.5%)

Counts
5 → 60
Calls

15 calls:

TimeVariablePointExpression
22.0ms
x
@0
(log.f64 (+.f64 x x))
16.0ms
x
@-inf
(log.f64 (+.f64 x x))
9.0ms
x
@inf
(log.f64 (+.f64 x x))
3.0ms
x
@-inf
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))
1.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))

rewrite91.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1554×log-prod
1048×fma-def
608×fma-neg
600×expm1-udef
598×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01791
135491
2482991
Stop Event
node limit
Counts
5 → 183
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(/.f64 (*.f64 x x) (+.f64 1 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))
Outputs
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (+.f64 x x))))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 4) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (/.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2)) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2)) (log.f64 (+.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2)) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.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 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.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)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(+.f64 0 (*.f64 (/.f64 x (+.f64 x 1)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))
(*.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) x))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1)))
(*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) x)
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) (+.f64 (neg.f64 x) -1)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(+.f64 (log1p.f64 x) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2))
(+.f64 0 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (log1p.f64 x))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) 1) (log1p.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) 1)
(*.f64 1 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))
(*.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 2) (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (log1p.f64 x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (neg.f64 (pow.f64 (log1p.f64 x) 2))) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (log1p.f64 x)))
(pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))
(log.f64 (*.f64 (+.f64 x 1) (exp.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))

simplify110.0ms (3.1%)

Algorithm
egg-herbie
Rules
842×associate-+r+
748×times-frac
566×log-prod
506×fma-def
450×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05356673
112656255
240745995
Stop Event
node limit
Counts
243 → 349
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -3/10 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) x)))
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/2)
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 x)) (+.f64 (*.f64 1/2 x) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/2)
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 x)) (+.f64 (*.f64 1/2 x) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 x) (log.f64 -1))) 1/2)
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 x) (log.f64 -1)))) 1/2)
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 x) (log.f64 -1)))) (+.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (+.f64 x x))))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 4) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (/.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2)) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2)) (log.f64 (+.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2)) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.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 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.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)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(+.f64 0 (*.f64 (/.f64 x (+.f64 x 1)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))
(*.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) x))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1)))
(*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) x)
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) (+.f64 (neg.f64 x) -1)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(+.f64 (log1p.f64 x) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2))
(+.f64 0 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (log1p.f64 x))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) 1) (log1p.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) 1)
(*.f64 1 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))
(*.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 2) (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (log1p.f64 x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (neg.f64 (pow.f64 (log1p.f64 x) 2))) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (log1p.f64 x)))
(pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))
(log.f64 (*.f64 (+.f64 x 1) (exp.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x 1)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1))))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 x (/.f64 (+.f64 1 (pow.f64 x 3)) x)) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) x)) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 (/.f64 1 x) x)) x)
(pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1)
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)) 3)
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 3) 1/3)
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(pow.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) -1)
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(neg.f64 (/.f64 (*.f64 x x) (+.f64 (neg.f64 x) -1)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (neg.f64 x)))
(/.f64 x (/.f64 (-.f64 -1 x) (neg.f64 x)))
(*.f64 x (/.f64 (neg.f64 x) (-.f64 -1 x)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(fabs.f64 (/.f64 (*.f64 x x) (+.f64 x 1)))
(log.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 3))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1) 3)))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(+.f64 (log1p.f64 x) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(+.f64 0 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (log1p.f64 x))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) 1) (log1p.f64 x))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))) (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) 1)
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(*.f64 1 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(*.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 1)
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 2))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 2) (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1))) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (*.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1))) (*.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1) 3)) 1/8 (pow.f64 (log1p.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (*.f64 -1/2 (*.f64 x (/.f64 x (+.f64 x 1)))))) (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1) 3)) 1/8 (pow.f64 (log1p.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (/.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 x 1)))) (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (neg.f64 (pow.f64 (log1p.f64 x) 2))) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2) (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1))) (*.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1))) (neg.f64 (pow.f64 (log1p.f64 x) 2))) (-.f64 (*.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1))) (log1p.f64 x)))
(/.f64 (-.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 x (*.f64 (/.f64 x (+.f64 x 1)) 1/2)) (log1p.f64 x)))
(/.f64 (-.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))) (pow.f64 (log1p.f64 x) 2)) (-.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 x 1)) (log1p.f64 x)))
(pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 1)
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 3)
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 3) 1/3)
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 2)
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 2))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(log.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(log.f64 (*.f64 (+.f64 x 1) (exp.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 3))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(exp.f64 (log.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 1))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))
(fma.f64 1/2 (*.f64 x (/.f64 x (+.f64 x 1))) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))

eval189.0ms (5.4%)

Compiler

Compiled 5827 to 3770 computations (35.3% saved)

prune57.0ms (1.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New3454349
Fresh101
Picked235
Done235
Total35010360
Accurracy
100.0%
Counts
360 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
24.6%
(copysign.f64 (+.f64 (log.f64 x) (log.f64 2)) x)
8.8%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
11.6%
(copysign.f64 (*.f64 x 1/2) x)
53.9%
(copysign.f64 (log1p.f64 x) x)
30.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.3%
(copysign.f64 (log.f64 (+.f64 x x)) x)
10.8%
(copysign.f64 (log.f64 (neg.f64 x)) x)
49.6%
(copysign.f64 x x)
48.9%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
24.6%
(copysign.f64 (+.f64 (log.f64 x) (log.f64 2)) x)
8.8%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
11.6%
(copysign.f64 (*.f64 x 1/2) x)
53.9%
(copysign.f64 (log1p.f64 x) x)
30.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.3%
(copysign.f64 (log.f64 (+.f64 x x)) x)
10.8%
(copysign.f64 (log.f64 (neg.f64 x)) x)
49.6%
(copysign.f64 x x)
Compiler

Compiled 142 to 94 computations (33.8% saved)

localize98.0ms (2.8%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 61 to 39 computations (36.1% saved)

series52.0ms (1.5%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
24.0ms
x
@-inf
(+.f64 (log.f64 x) (log.f64 2))
17.0ms
x
@0
(+.f64 (log.f64 x) (log.f64 2))
9.0ms
x
@inf
(+.f64 (log.f64 x) (log.f64 2))
0.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 -1/6 (pow.f64 x 3))

rewrite72.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
992×log-prod
910×prod-diff
594×pow-prod-down
514×pow-prod-up
482×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
125124
2289924
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(+.f64 (log.f64 x) (log.f64 2))
(*.f64 -1/6 (pow.f64 x 3))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 x 2))) (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 x 2))))
(*.f64 (log.f64 (*.f64 x 2)) 1)
(*.f64 1 (log.f64 (*.f64 x 2)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) 2) (cbrt.f64 (log.f64 (*.f64 x 2))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 x 2))) (sqrt.f64 (log.f64 (*.f64 x 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (log.f64 (/.f64 x 2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 x 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (log.f64 (/.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(pow.f64 (log.f64 (*.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (*.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x 2))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 x 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2))) -1)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x 2)) 2))
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x 2))))
(exp.f64 (log.f64 (log.f64 (*.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 x 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 x 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (*.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 x 2)))) 2))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9) 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 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (fma.f64 (log.f64 x) 3 (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) 3 (log.f64 -1/6)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 x) 3 (log.f64 -1/6)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))

simplify63.0ms (1.8%)

Algorithm
egg-herbie
Rules
1130×associate-*r*
660×div-sub
526×fma-neg
468×log-prod
464×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01851437
14191363
210471363
345471363
Stop Event
node limit
Counts
81 → 78
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 x 2))) (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 x 2))))
(*.f64 (log.f64 (*.f64 x 2)) 1)
(*.f64 1 (log.f64 (*.f64 x 2)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) 2) (cbrt.f64 (log.f64 (*.f64 x 2))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 x 2))) (sqrt.f64 (log.f64 (*.f64 x 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (log.f64 (/.f64 x 2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 x 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (log.f64 (/.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(pow.f64 (log.f64 (*.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (*.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x 2))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 x 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2))) -1)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x 2)) 2))
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x 2))))
(exp.f64 (log.f64 (log.f64 (*.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 x 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 x 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (*.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 x 2)))) 2))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9) 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 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (fma.f64 (log.f64 x) 3 (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) 3 (log.f64 -1/6)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 x) 3 (log.f64 -1/6)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 2 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x 2)))) 1)
(log.f64 (*.f64 2 x))
(-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 x 2))) (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 x 2))))
(log.f64 (*.f64 2 x))
(*.f64 (log.f64 (*.f64 x 2)) 1)
(log.f64 (*.f64 2 x))
(*.f64 1 (log.f64 (*.f64 x 2)))
(log.f64 (*.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) 2))
(log.f64 (*.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) 2) (cbrt.f64 (log.f64 (*.f64 x 2))))
(log.f64 (*.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (*.f64 x 2))) (sqrt.f64 (log.f64 (*.f64 x 2))))
(log.f64 (*.f64 2 x))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (log.f64 (/.f64 x 2))))
(log.f64 (*.f64 2 x))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 1 (/.f64 (log.f64 (/.f64 x 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2))))
(log.f64 (*.f64 2 x))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 2)))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(log.f64 (*.f64 2 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (log.f64 (/.f64 x 2))))
(log.f64 (*.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(log.f64 (*.f64 2 x))
(pow.f64 (log.f64 (*.f64 x 2)) 1)
(log.f64 (*.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) 3)
(log.f64 (*.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (*.f64 x 2)) 2) 1/2)
(log.f64 (*.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (*.f64 x 2)) 3) 1/3)
(log.f64 (*.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x 2))) 2)
(log.f64 (*.f64 2 x))
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) -1)
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(pow.f64 (/.f64 (log.f64 (/.f64 x 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2))) -1)
(log.f64 (*.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x 2)) 2))
(log.f64 (*.f64 2 x))
(log.f64 (*.f64 x 2))
(log.f64 (*.f64 2 x))
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log.f64 (*.f64 2 x))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (*.f64 2 x))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (*.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x 2)) 3))
(log.f64 (*.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x 2))))
(log.f64 (*.f64 2 x))
(exp.f64 (log.f64 (log.f64 (*.f64 x 2))))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 x 2))) 1))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 x 2))) 1) 1))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 x 2)))) 3))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (*.f64 x 2)))) 1/3))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 x 2)))) 2))
(log.f64 (*.f64 2 x))
(log1p.f64 (fma.f64 x 2 -1))
(log.f64 (*.f64 2 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(log.f64 (*.f64 2 x))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(log.f64 (*.f64 2 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(log.f64 (*.f64 2 x))
(fma.f64 1 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(log.f64 (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(log.f64 (*.f64 2 x))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(log.f64 (*.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(log.f64 (*.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (fma.f64 (log.f64 x) 3 (log.f64 -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) 3 (log.f64 -1/6)) 1))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 x) 3 (log.f64 -1/6)) 1) 1))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 9)) 1/3))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))

eval27.0ms (0.8%)

Compiler

Compiled 997 to 750 computations (24.8% saved)

prune16.0ms (0.4%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New78078
Fresh000
Picked044
Done066
Total781088
Accurracy
100.0%
Counts
88 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
24.6%
(copysign.f64 (+.f64 (log.f64 x) (log.f64 2)) x)
8.8%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
11.6%
(copysign.f64 (*.f64 x 1/2) x)
53.9%
(copysign.f64 (log1p.f64 x) x)
30.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.3%
(copysign.f64 (log.f64 (+.f64 x x)) x)
10.8%
(copysign.f64 (log.f64 (neg.f64 x)) x)
49.6%
(copysign.f64 x x)
Compiler

Compiled 199 to 119 computations (40.2% saved)

regimes52.0ms (1.5%)

Counts
17 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 x 1/2) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (+.f64 (log.f64 x) (log.f64 2)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 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 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (+.f64 (log.f64 x) (log.f64 2)) x)
Calls

2 calls:

34.0ms
x
10.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
AccuracySegmentsBranch
99.8%3x
99.8%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 143 to 82 computations (42.7% saved)

regimes21.0ms (0.6%)

Counts
11 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 x 1/2) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes18.0ms (0.5%)

Counts
9 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 x 1/2) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 51 to 31 computations (39.2% saved)

regimes17.0ms (0.5%)

Counts
8 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 x 1/2) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes15.0ms (0.4%)

Counts
6 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 x 1/2) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
79.5%3x
Compiler

Compiled 30 to 17 computations (43.3% saved)

regimes10.0ms (0.3%)

Counts
5 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 x 1/2) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
63.3%2x
Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes9.0ms (0.2%)

Counts
4 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 x 1/2) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
55.6%2x
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -30.0b remaining (-93%)

Threshold costs -30b (-93%)

Counts
3 → 1
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (*.f64 x 1/2) x)
(copysign.f64 (log.f64 0) x)
Outputs
(copysign.f64 x x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
49.6%1x
Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
11.453376668147657
0.0ms
-25.782195477806805
-5.959643261973277e-6
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch46.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
3.022478864675345e-18
47109.477825335794
22.0ms
-78710964057.4826
-5.959643262059647e-6
Results
41.0ms336×body256valid
Compiler

Compiled 460 to 328 computations (28.7% saved)

bsearch44.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
3.022478864675345e-18
47109.477825335794
22.0ms
-78710964057.4826
-5.959643262059647e-6
Results
40.0ms336×body256valid
Compiler

Compiled 416 to 295 computations (29.1% saved)

bsearch45.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
3.022478864675345e-18
47109.477825335794
22.0ms
-78710964057.4826
-5.959643262059647e-6
Results
40.0ms336×body256valid
Compiler

Compiled 290 to 190 computations (34.5% saved)

bsearch48.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
3.022478864675345e-18
47109.477825335794
24.0ms
-78710964057.4826
-5.959643262059647e-6
Results
41.0ms336×body256valid
Compiler

Compiled 280 to 180 computations (35.7% saved)

bsearch21.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-78710964057.4826
-5.959643262059647e-6
Results
19.0ms160×body256valid
Compiler

Compiled 147 to 102 computations (30.6% saved)

bsearch11.0ms (0.3%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
11.0ms
-1.8260244313554116e-10
-4.624224705271069e-17
Results
10.0ms64×body256valid
Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify15.0ms (0.4%)

Algorithm
egg-herbie
Rules
14×+-commutative
*-commutative
sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071504
182504
284504
385504
Stop Event
done
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 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 0) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (+.f64 (log.f64 x) (log.f64 2)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x -2028240960365167/10141204801825835211973625643008) (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 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 0) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (+.f64 (log.f64 x) (log.f64 2)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 0) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (+.f64 (log.f64 x) (log.f64 2)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x -2028240960365167/10141204801825835211973625643008) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 194 to 126 computations (35.1% saved)

soundness768.0ms (21.8%)

Rules
1802×fma-def
1802×fma-def
1802×fma-def
1802×fma-def
1802×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
11827
21927
02232866
15932444
218822068
377702064
0938
117930
2231430
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
01791
135491
2482991
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 696 to 484 computations (30.5% saved)

end123.0ms (3.5%)

Compiler

Compiled 442 to 254 computations (42.5% saved)

Profiling

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