Rust f64::asinh

Details

Time bar (total: 5.1s)

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)

sample621.0ms (12.1%)

Results
611.0ms8256×body256valid
Bogosity

preprocess17.0ms (0.3%)

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)

simplify12.0ms (0.2%)

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)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
53.5%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
53.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 20 to 14 computations (30% saved)

localize116.0ms (2.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
53.5%
(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)))
0.0ms
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))

rewrite59.0ms (1.1%)

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)

simplify85.0ms (1.7%)

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))

eval51.0ms (1%)

Compiler

Compiled 2603 to 1683 computations (35.3% saved)

prune42.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New13712149
Fresh000
Picked011
Done000
Total13713150
Accurracy
100.0%
Counts
150 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
52.3%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
29.8%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
57.4%
(copysign.f64 (log1p.f64 x) x)
31.5%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
26.1%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
53.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
29.7%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.6%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x x)) x)
11.5%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
9.2%
(copysign.f64 (log.f64 (neg.f64 x)) x)
2.7%
(copysign.f64 (log.f64 0) x)
53.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
52.3%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
29.8%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
57.4%
(copysign.f64 (log1p.f64 x) x)
31.5%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
26.1%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
53.5%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
29.7%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.6%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x x)) x)
11.5%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
9.2%
(copysign.f64 (log.f64 (neg.f64 x)) x)
2.7%
(copysign.f64 (log.f64 0) x)
Compiler

Compiled 464 to 314 computations (32.3% saved)

localize338.0ms (6.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 x (hypot.f64 1 x))
78.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
100.0%
(log.f64 (/.f64 -1/2 x))
78.0%
(log.f64 (+.f64 1 x))
Compiler

Compiled 71 to 45 computations (36.6% saved)

series74.0ms (1.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
39.0ms
x
@-inf
(log.f64 (/.f64 -1/2 x))
26.0ms
x
@0
(log.f64 (/.f64 -1/2 x))
6.0ms
x
@inf
(log.f64 (/.f64 -1/2 x))
1.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))

rewrite90.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1156×prod-diff
1128×log-prod
718×pow-prod-down
616×fma-def
594×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
126746
2335046
Stop Event
node limit
Counts
4 → 193
Calls
Call 1
Inputs
(log.f64 (+.f64 1 x))
(log.f64 (/.f64 -1/2 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)
(+.f64 (log.f64 (/.f64 -1/2 x)) 0)
(+.f64 (log.f64 (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 -1/2 x))) (log.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2)))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2)))) (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 -1/2 x))) (log.f64 (sqrt.f64 (/.f64 -1/2 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(+.f64 (fma.f64 1 (log.f64 -1/2) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 1 (log.f64 -1/2) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 -1/2)) (cbrt.f64 (log.f64 -1/2))) (cbrt.f64 (log.f64 -1/2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 -1/2)) (cbrt.f64 (log.f64 -1/2))) (cbrt.f64 (log.f64 -1/2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 -1/2)) (sqrt.f64 (log.f64 -1/2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 -1/2)) (sqrt.f64 (log.f64 -1/2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 0 (log.f64 (*.f64 x -2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x -2) 1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x -2))))
(-.f64 (log.f64 (/.f64 -1/2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (/.f64 -1/2 (cbrt.f64 (*.f64 x x)))) (log.f64 (cbrt.f64 x)))
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 -1 (log.f64 (*.f64 x -2)))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1/2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 -1/2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 -1/2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1/2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 -1/2 x)))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)
(neg.f64 (log.f64 (*.f64 x -2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x -2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 -1/2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 (neg.f64 x))))
(fma.f64 1 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 (neg.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 -1/2)) (cbrt.f64 (log.f64 -1/2))) (cbrt.f64 (log.f64 -1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 (neg.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 -1/2)) (sqrt.f64 (log.f64 -1/2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (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)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (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))) (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 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (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)))))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(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))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(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 x 1 (hypot.f64 1 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) (cbrt.f64 (*.f64 x x)) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (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))

simplify103.0ms (2%)

Algorithm
egg-herbie
Rules
970×fma-neg
884×log-prod
550×sub-neg
532×fma-def
500×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05525405
112995173
242884875
Stop Event
node limit
Counts
241 → 318
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
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))))
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)
(+.f64 (log.f64 (/.f64 -1/2 x)) 0)
(+.f64 (log.f64 (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 -1/2 x))) (log.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2)))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2)))) (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 -1/2 x))) (log.f64 (sqrt.f64 (/.f64 -1/2 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(+.f64 (fma.f64 1 (log.f64 -1/2) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 1 (log.f64 -1/2) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 -1/2)) (cbrt.f64 (log.f64 -1/2))) (cbrt.f64 (log.f64 -1/2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 -1/2)) (cbrt.f64 (log.f64 -1/2))) (cbrt.f64 (log.f64 -1/2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 -1/2)) (sqrt.f64 (log.f64 -1/2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 -1/2)) (sqrt.f64 (log.f64 -1/2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 0 (log.f64 (*.f64 x -2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x -2) 1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x -2))))
(-.f64 (log.f64 (/.f64 -1/2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (/.f64 -1/2 (cbrt.f64 (*.f64 x x)))) (log.f64 (cbrt.f64 x)))
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 -1 (log.f64 (*.f64 x -2)))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1/2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 -1/2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 -1/2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1/2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 -1/2 x)))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)
(neg.f64 (log.f64 (*.f64 x -2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x -2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 -1/2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 (neg.f64 x))))
(fma.f64 1 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 (neg.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 -1/2)) (cbrt.f64 (log.f64 -1/2))) (cbrt.f64 (log.f64 -1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 (neg.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 -1/2)) (sqrt.f64 (log.f64 -1/2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (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)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (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))) (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 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (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)))))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(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))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(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 x 1 (hypot.f64 1 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) (cbrt.f64 (*.f64 x x)) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (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))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
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(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -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 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (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 x (hypot.f64 1 x))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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)))
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))

eval95.0ms (1.9%)

Compiler

Compiled 4633 to 3129 computations (32.5% saved)

prune63.0ms (1.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New3144318
Fresh347
Picked235
Done101
Total32011331
Accurracy
100.0%
Counts
331 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.8%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
25.6%
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x)
53.0%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
31.6%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
57.4%
(copysign.f64 (log1p.f64 x) x)
26.1%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
29.7%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.6%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x x)) x)
9.2%
(copysign.f64 (log.f64 (neg.f64 x)) x)
53.6%
(copysign.f64 x x)
29.8%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
25.6%
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x)
53.0%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
31.6%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
57.4%
(copysign.f64 (log1p.f64 x) x)
26.1%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
29.7%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.6%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x x)) x)
9.2%
(copysign.f64 (log.f64 (neg.f64 x)) x)
53.6%
(copysign.f64 x x)
Compiler

Compiled 338 to 228 computations (32.5% saved)

localize460.0ms (9%)

Local Accuracy

Found 7 expressions with local accuracy:

NewAccuracyProgram
78.0%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
78.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
76.9%
(+.f64 x (hypot.f64 1 x))
100.0%
(log.f64 (/.f64 -1/2 x))
99.9%
(/.f64 1/4 (*.f64 x x))
100.0%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
99.9%
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 130 to 81 computations (37.7% saved)

series3.0ms (0.1%)

Counts
4 → 27
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@0
(/.f64 1/4 (*.f64 x x))
0.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms
x
@inf
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 -1/6 (pow.f64 x 3))

rewrite128.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1614×fma-def
1564×log-prod
688×fma-neg
644×expm1-udef
638×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01870
140958
2548358
Stop Event
node limit
Counts
4 → 160
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(/.f64 1/4 (*.f64 x x))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Outputs
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 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 (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 (pow.f64 x 3) 3) -1/216) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (*.f64 1/36 (pow.f64 x 6)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/36 (pow.f64 x 6)))))
(*.f64 (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/36 (pow.f64 x 6))) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/36 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x x (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 -1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/36 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/36 (pow.f64 x 6))) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (*.f64 (*.f64 x x) -1/6) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)
(fma.f64 (*.f64 x x) (*.f64 x -1/6) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) x)
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(+.f64 0 (/.f64 (/.f64 1/4 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/4 x) x))) 1)
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 1/4 x) x) 1)
(*.f64 1 (/.f64 (/.f64 1/4 x) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/4 x) x)) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 1/4 x) x)))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(*.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) 1/4)
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(pow.f64 (/.f64 (/.f64 1/4 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1/4 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1/4 x) x) 3) 1/3)
(pow.f64 (/.f64 1/2 x) 2)
(pow.f64 (/.f64 x (/.f64 1/4 x)) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/4 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1/4 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1/4 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 1/4 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 1/4 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1/4 x) x)))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(hypot.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 0)
(fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) (-.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 0)

simplify91.0ms (1.8%)

Algorithm
egg-herbie
Rules
1222×unswap-sqr
932×fma-neg
492×log-prod
404×sub-neg
404×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04125145
19734891
232244731
Stop Event
node limit
Counts
187 → 234
Calls
Call 1
Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 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)))))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 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 (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 (pow.f64 x 3) 3) -1/216) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (*.f64 1/36 (pow.f64 x 6)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/36 (pow.f64 x 6)))))
(*.f64 (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/36 (pow.f64 x 6))) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/36 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x x (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 -1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/36 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/36 (pow.f64 x 6)) (*.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/36 (pow.f64 x 6))) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (*.f64 (*.f64 x x) -1/6) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)
(fma.f64 (*.f64 x x) (*.f64 x -1/6) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) x)
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(+.f64 0 (/.f64 (/.f64 1/4 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/4 x) x))) 1)
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 1/4 x) x) 1)
(*.f64 1 (/.f64 (/.f64 1/4 x) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/4 x) x)) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 1/4 x) x)))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(*.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) 1/4)
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(pow.f64 (/.f64 (/.f64 1/4 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1/4 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1/4 x) x) 3) 1/3)
(pow.f64 (/.f64 1/2 x) 2)
(pow.f64 (/.f64 x (/.f64 1/4 x)) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/4 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1/4 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1/4 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 1/4 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 1/4 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1/4 x) x)))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(hypot.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 0)
(fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) (-.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 0)
Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
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)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (*.f64 1/4 (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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (*.f64 1/4 (pow.f64 x -2))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 x -2) (/.f64 -3/32 (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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x -2)))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (fma.f64 1/4 (pow.f64 x -2) (/.f64 -3/32 (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 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 (pow.f64 x -2) -1/4)))
(-.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 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (*.f64 (pow.f64 x -2) -1/4))))
(-.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)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x -2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) -1/4) (/.f64 -5/96 (pow.f64 x 6))))))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))) (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 (pow.f64 x 3) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
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(log.f64 (+.f64 x (hypot.f64 1 x)))

eval217.0ms (4.2%)

Compiler

Compiled 9042 to 6582 computations (27.2% saved)

prune86.0ms (1.7%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New4742476
Fresh033
Picked055
Done033
Total47413487
Accurracy
100.0%
Counts
487 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.5%
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
29.8%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
25.5%
(copysign.f64 (-.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x)))) (/.f64 1/4 (*.f64 x x))) x)
25.6%
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x)
53.0%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
31.6%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
57.4%
(copysign.f64 (log1p.f64 x) x)
26.1%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
29.7%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.6%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x x)) x)
9.2%
(copysign.f64 (log.f64 (neg.f64 x)) x)
53.6%
(copysign.f64 x x)
6.5%
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
29.8%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
25.5%
(copysign.f64 (-.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x)))) (/.f64 1/4 (*.f64 x x))) x)
25.6%
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x)
53.0%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
31.6%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
57.4%
(copysign.f64 (log1p.f64 x) x)
26.1%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
29.7%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.6%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x x)) x)
9.2%
(copysign.f64 (log.f64 (neg.f64 x)) x)
53.6%
(copysign.f64 x x)
Compiler

Compiled 370 to 260 computations (29.7% saved)

localize300.0ms (5.8%)

Compiler

Compiled 199 to 132 computations (33.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune10.0ms (0.2%)

Pruning

13 alts after pruning (0 fresh and 13 done)

PrunedKeptTotal
New000
Fresh000
Picked055
Done088
Total01313
Accurracy
100.0%
Counts
13 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.5%
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
29.8%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
25.5%
(copysign.f64 (-.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x)))) (/.f64 1/4 (*.f64 x x))) x)
25.6%
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x)
53.0%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
31.6%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
57.4%
(copysign.f64 (log1p.f64 x) x)
26.1%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
29.7%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.6%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x x)) x)
9.2%
(copysign.f64 (log.f64 (neg.f64 x)) x)
53.6%
(copysign.f64 x x)
Compiler

Compiled 309 to 202 computations (34.6% saved)

regimes82.0ms (1.6%)

Counts
20 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(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)
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
(copysign.f64 (-.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x)))) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 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 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
Calls

2 calls:

41.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
35.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 198 to 124 computations (37.4% saved)

regimes68.0ms (1.3%)

Counts
15 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(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)
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
(copysign.f64 (-.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x)))) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

37.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 124 to 81 computations (34.7% saved)

regimes23.0ms (0.4%)

Counts
13 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(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)
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
(copysign.f64 (-.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x)))) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Outputs
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
Compiler

Compiled 105 to 68 computations (35.2% saved)

regimes68.0ms (1.3%)

Counts
12 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(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)
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
(copysign.f64 (-.f64 (*.f64 1/3 (*.f64 3 (log.f64 (/.f64 -1/2 x)))) (/.f64 1/4 (*.f64 x x))) x)
Outputs
(copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x 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:

66.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 97 to 63 computations (35.1% saved)

regimes20.0ms (0.4%)

Counts
9 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(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)
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
99.0%3x
Compiler

Compiled 56 to 34 computations (39.3% saved)

regimes29.0ms (0.6%)

Counts
8 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 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:

27.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 46 to 28 computations (39.1% saved)

regimes14.0ms (0.3%)

Counts
7 → 3
Calls
Call 1
Inputs
(copysign.f64 x 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 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 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:

12.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 37 to 22 computations (40.5% saved)

regimes46.0ms (0.9%)

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

1 calls:

45.0ms
x
Results
AccuracySegmentsBranch
81.9%3x
Compiler

Compiled 31 to 18 computations (41.9% saved)

regimes10.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
(copysign.f64 x 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 1 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
65.4%2x
Compiler

Compiled 25 to 15 computations (40% saved)

regimes7.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f64 x 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:

6.0ms
x
Results
AccuracySegmentsBranch
59.4%2x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total -32.6b remaining (-109.6%)

Threshold costs -32.6b (-109.6%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
53.6%1x
Compiler

Compiled 10 to 6 computations (40% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.268228840969142e-7
0.16981069578115554
0.0ms
-0.3564573377561794
-1.138036218291878e-6
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch82.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
4.268228841117002e-7
0.17062797416258244
63.0ms
-0.3640541277573658
-1.1380362183892996e-6
Results
78.0ms288×body256valid
Compiler

Compiled 404 to 291 computations (28% saved)

bsearch34.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
4.268228841117002e-7
0.17062797416258244
15.0ms
-47.235997332657135
-0.3640541277573658
Results
31.0ms256×body256valid
Compiler

Compiled 381 to 273 computations (28.3% saved)

bsearch63.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
0.17062797416258244
6.313135432929535
18.0ms
-47.235997332657135
-0.3640541277573658
Results
59.0ms224×body256valid
Compiler

Compiled 353 to 250 computations (29.2% saved)

bsearch34.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
0.17062797416258244
6.313135432929535
14.0ms
-47.235997332657135
-0.3640541277573658
Results
30.0ms224×body256valid
Compiler

Compiled 311 to 222 computations (28.6% saved)

bsearch31.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.17062797416258244
6.313135432929535
16.0ms
-47.235997332657135
-0.3640541277573658
Results
28.0ms224×body256valid
Compiler

Compiled 283 to 201 computations (29% saved)

bsearch32.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.17062797416258244
6.313135432929535
17.0ms
-47.235997332657135
-0.3640541277573658
Results
27.0ms224×body256valid
Compiler

Compiled 199 to 131 computations (34.2% saved)

bsearch28.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.17062797416258244
6.313135432929535
15.0ms
-47.235997332657135
-0.3640541277573658
Results
26.0ms224×body256valid
Compiler

Compiled 192 to 124 computations (35.4% saved)

bsearch16.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
-47.235997332657135
-0.3640541277573658
Results
15.0ms112×body256valid
Compiler

Compiled 108 to 75 computations (30.6% saved)

bsearch14.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.17062797416258244
6.313135432929535
Results
13.0ms112×body256valid
Compiler

Compiled 94 to 61 computations (35.1% saved)

simplify22.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
091829
1110829
2123829
3134829
4137829
5138829
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) -3602879701896397/18014398509481984) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -1890791267555229/2305843009213693952) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x 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 -5/4) (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 -5/4) (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 -5/4) (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 6980579422424269/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -3602879701896397/18014398509481984) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -3602879701896397/18014398509481984) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -3602879701896397/18014398509481984) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) x)))
(if (<=.f64 x -1890791267555229/2305843009213693952) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1890791267555229/2305843009213693952) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x 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 -1) (copysign.f64 (-.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 1/4 (*.f64 x 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 -5/4) (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 -5/4) (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 -5/4) (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 -5/4) (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 -5/4) (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 6980579422424269/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 315 to 209 computations (33.7% saved)

soundness1.2s (22.7%)

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
0938
117930
2231430
02232866
15932444
218822068
377702064
01346
126746
2335046
05525405
112995173
242884875
0938
117930
2231430
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
05525405
112995173
242884875
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 1532 to 1066 computations (30.4% saved)

end174.0ms (3.4%)

Compiler

Compiled 678 to 410 computations (39.5% saved)

Profiling

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