Details

Time bar (total: 7.4s)

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)

sample768.0ms (10.4%)

Results
757.0ms8256×body256valid
Bogosity

preprocess23.0ms (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)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
48.7%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 10 to 7 computations (30% saved)

localize135.0ms (1.8%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
48.7%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite83.0ms (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)

simplify109.0ms (1.5%)

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)))))
(fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (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))

eval103.0ms (1.4%)

Compiler

Compiled 2603 to 1683 computations (35.3% saved)

prune113.0ms (1.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New13118149
Fresh000
Picked101
Done000
Total13218150
Accurracy
100.0%
Counts
150 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.1%
(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))) x)
57.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
57.5%
(copysign.f64 (fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
28.9%
(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
29.3%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
29.3%
(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
68.6%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
62.2%
(copysign.f64 (log1p.f64 x) x)
26.7%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
21.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
29.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x x)) x)
10.0%
(copysign.f64 (log.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) x))) x)
18.3%
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
11.9%
(copysign.f64 (log.f64 (+.f64 1 x)) x)
7.9%
(copysign.f64 (log.f64 (neg.f64 x)) x)
2.6%
(copysign.f64 (log.f64 0) x)
Compiler

Compiled 438 to 308 computations (29.7% saved)

localize53.0ms (0.7%)

Compiler

Compiled 13 to 5 computations (61.5% saved)

localize20.0ms (0.3%)

Compiler

Compiled 10 to 8 computations (20% saved)

localize43.0ms (0.6%)

Compiler

Compiled 16 to 5 computations (68.8% saved)

localize169.0ms (2.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
81.1%
(+.f64 x (hypot.f64 1 x))
48.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1590×pow1
1466×add-exp-log
1466×log1p-expm1-u
1466×expm1-log1p-u
1432×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
115830
2199930
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.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 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (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 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 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 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.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 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.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 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.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 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.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)))))
(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 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))

simplify83.0ms (1.1%)

Algorithm
egg-herbie
Rules
1522×fma-def
1096×fma-neg
724×unswap-sqr
698×log-prod
450×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02142548
15482180
217102040
366102040
Stop Event
node limit
Counts
80 → 136
Calls
Call 1
Inputs
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 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 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (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 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 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 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.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 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.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 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.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 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.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)))))
(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 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
Outputs
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 (*.f64 x x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x)))
(-.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 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.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 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6)))) (/.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 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.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 1/4 (*.f64 x x)))))
(-.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 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))) (/.f64 5/96 (pow.f64 x 6))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 x (*.f64 x 1/2) 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (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 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (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 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 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 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(-.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 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -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 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 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 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (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 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.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))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.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 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 1 (+.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))
(*.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))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.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))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.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 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (+.f64 (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 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.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 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (+.f64 (pow.f64 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 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (fma.f64 x 2 (neg.f64 (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.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 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (neg.f64 (-.f64 (*.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 x (hypot.f64 1 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 x (hypot.f64 1 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 (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))
(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)))))
(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 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) 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 (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))
(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))

localize89.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
91.2%
(/.f64 (*.f64 x x) (+.f64 1 x))
Compiler

Compiled 44 to 22 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite91.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1616×pow1
1508×add-exp-log
1506×log1p-expm1-u
1506×expm1-log1p-u
1480×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115019
2209519
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (+.f64 1 x))
Outputs
(-.f64 (+.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1)))
(*.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (+.f64 x 1))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 x 1))))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 (*.f64 x x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))

simplify77.0ms (1%)

Algorithm
egg-herbie
Rules
1672×fma-def
708×associate-/l*
664×associate-*r/
650×div-sub
544×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01191411
13271205
211141033
345591027
Stop Event
node limit
Counts
47 → 76
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1)))
(*.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (+.f64 x 1))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 x 1))))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 (*.f64 x x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 -1 (pow.f64 x 3) (*.f64 x x))
(-.f64 (*.f64 x x) (pow.f64 x 3))
(*.f64 x (-.f64 x (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (*.f64 x x)))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))
(*.f64 (*.f64 x x) (fma.f64 x x (-.f64 1 x)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 5)) (pow.f64 x 3))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(+.f64 x (+.f64 -1 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 x (+.f64 1 (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (+.f64 x (/.f64 1 x)) (/.f64 -1 (*.f64 x x))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(+.f64 x (+.f64 -1 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 x (+.f64 1 (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (+.f64 x (/.f64 1 x)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1))) 1)
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) x)))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1)))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1)))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) 2))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x x))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) x)
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1) x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x 1)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (-.f64 (*.f64 x x) x))) (+.f64 (pow.f64 x 3) 1))
(*.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 3) 1)) x) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 x (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 x (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) x)) (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (-.f64 1 x))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) 3)
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(pow.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) -1)
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 3))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1) 3)))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))
(exp.f64 (-.f64 (log.f64 (*.f64 x x)) (log1p.f64 x)))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 x)))
(/.f64 x (/.f64 (exp.f64 (log1p.f64 x)) x))
(*.f64 x (/.f64 x (exp.f64 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 1))
(+.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) 0)
(/.f64 x (/.f64 (+.f64 x 1) x))
(*.f64 x (/.f64 x (+.f64 x 1)))

eval113.0ms (1.5%)

Compiler

Compiled 3488 to 2293 computations (34.3% saved)

prune40.0ms (0.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New2093212
Fresh6713
Picked101
Done224
Total21812230
Accurracy
100.0%
Counts
230 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.9%
(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
57.2%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)
58.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
29.3%
(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
62.2%
(copysign.f64 (log1p.f64 x) x)
26.7%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
21.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
29.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x x)) x)
7.9%
(copysign.f64 (log.f64 (neg.f64 x)) x)
58.4%
(copysign.f64 x x)
Compiler

Compiled 216 to 150 computations (30.6% saved)

localize20.0ms (0.3%)

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize13.0ms (0.2%)

Compiler

Compiled 6 to 3 computations (50% saved)

localize29.0ms (0.4%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

localize47.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 x (+.f64 x (/.f64 1/2 x)))
100.0%
(+.f64 x (/.f64 1/2 x))
Compiler

Compiled 37 to 23 computations (37.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 x (/.f64 1/2 x))
0.0ms
x
@inf
(+.f64 x (/.f64 1/2 x))
0.0ms
x
@-inf
(+.f64 x (/.f64 1/2 x))
0.0ms
x
@inf
(+.f64 x (+.f64 x (/.f64 1/2 x)))
0.0ms
x
@0
(+.f64 x (+.f64 x (/.f64 1/2 x)))

rewrite77.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1126×unpow-prod-down
906×fma-def
770×log-prod
650×prod-exp
582×pow-prod-down
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0732
116932
2257728
Stop Event
node limit
Counts
2 → 147
Calls
Call 1
Inputs
(+.f64 x (/.f64 1/2 x))
(+.f64 x (+.f64 x (/.f64 1/2 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1/2 x))) (/.f64 (*.f64 1/4 (pow.f64 x -2)) (-.f64 x (/.f64 1/2 x))))
(*.f64 (+.f64 x (/.f64 1/2 x)) 1)
(*.f64 1 (+.f64 x (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))))
(*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))) 1))
(*.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (-.f64 x (/.f64 1/2 x))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (pow.f64 (/.f64 1 (-.f64 x (/.f64 1/2 x))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x (/.f64 1/2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (/.f64 1/2 x)) (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)) (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 1/4 (pow.f64 x -2) (-.f64 (*.f64 x x) (/.f64 x (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3))) (neg.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))) (neg.f64 (-.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x -2)) (*.f64 x x)) (-.f64 (/.f64 1/2 x) x))
(pow.f64 (+.f64 x (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)) (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 1/2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (+.f64 x (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (/.f64 1/2 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1/2 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 1/2 x))))
(fma.f64 x 1 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) x)
(fma.f64 (/.f64 1/2 x) 1 x)
(fma.f64 1 x (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) x)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/2 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) x)
(fma.f64 -1/2 (/.f64 1 (neg.f64 x)) x)
(fma.f64 (/.f64 1 x) 1/2 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (fma.f64 x 2 (/.f64 1/2 x)) 1)
(*.f64 1 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x))) 1))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (pow.f64 (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))) 1))
(*.f64 2 (cosh.f64 (log.f64 (+.f64 x x))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 1/8 (pow.f64 x -3))) (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) -1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 1/4 (pow.f64 x -2))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (/.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(fma.f64 x 1 (+.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (+.f64 x x))
(fma.f64 (/.f64 1/2 x) 1 (+.f64 x x))
(fma.f64 (+.f64 x (/.f64 1/2 x)) 1 x)
(fma.f64 1 x (+.f64 x (/.f64 1/2 x)))
(fma.f64 1 (/.f64 1/2 x) (+.f64 x x))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)
(fma.f64 1 (+.f64 x x) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x (/.f64 1/2 x)))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (+.f64 x x))
(fma.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))) x)
(fma.f64 (/.f64 1 x) 1/2 (+.f64 x x))
(fma.f64 (+.f64 x x) 1 (/.f64 1/2 x))
(fma.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (-.f64 x (/.f64 1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 2 x (/.f64 1/2 x))

simplify83.0ms (1.1%)

Algorithm
egg-herbie
Rules
1634×fma-def
1118×distribute-rgt-in
1116×distribute-lft-in
1060×unswap-sqr
476×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03304311
18003979
223993809
Stop Event
node limit
Counts
171 → 185
Calls
Call 1
Inputs
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1/2 x))) (/.f64 (*.f64 1/4 (pow.f64 x -2)) (-.f64 x (/.f64 1/2 x))))
(*.f64 (+.f64 x (/.f64 1/2 x)) 1)
(*.f64 1 (+.f64 x (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))))
(*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))) 1))
(*.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (-.f64 x (/.f64 1/2 x))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (pow.f64 (/.f64 1 (-.f64 x (/.f64 1/2 x))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x (/.f64 1/2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (/.f64 1/2 x)) (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)) (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 1/4 (pow.f64 x -2) (-.f64 (*.f64 x x) (/.f64 x (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3))) (neg.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))) (neg.f64 (-.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x -2)) (*.f64 x x)) (-.f64 (/.f64 1/2 x) x))
(pow.f64 (+.f64 x (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)) (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 1/2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (+.f64 x (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (/.f64 1/2 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1/2 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 1/2 x))))
(fma.f64 x 1 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) x)
(fma.f64 (/.f64 1/2 x) 1 x)
(fma.f64 1 x (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) x)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/2 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) x)
(fma.f64 -1/2 (/.f64 1 (neg.f64 x)) x)
(fma.f64 (/.f64 1 x) 1/2 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (fma.f64 x 2 (/.f64 1/2 x)) 1)
(*.f64 1 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x))) 1))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (pow.f64 (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))) 1))
(*.f64 2 (cosh.f64 (log.f64 (+.f64 x x))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 1/8 (pow.f64 x -3))) (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) -1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 1/4 (pow.f64 x -2))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (/.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(fma.f64 x 1 (+.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (+.f64 x x))
(fma.f64 (/.f64 1/2 x) 1 (+.f64 x x))
(fma.f64 (+.f64 x (/.f64 1/2 x)) 1 x)
(fma.f64 1 x (+.f64 x (/.f64 1/2 x)))
(fma.f64 1 (/.f64 1/2 x) (+.f64 x x))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)
(fma.f64 1 (+.f64 x x) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x (/.f64 1/2 x)))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (+.f64 x x))
(fma.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))) x)
(fma.f64 (/.f64 1 x) 1/2 (+.f64 x x))
(fma.f64 (+.f64 x x) 1 (/.f64 1/2 x))
(fma.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (-.f64 x (/.f64 1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 2 x (/.f64 1/2 x))
Outputs
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x)))) 1)
(+.f64 x (/.f64 1/2 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1/2 x))) (/.f64 (*.f64 1/4 (pow.f64 x -2)) (-.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x -2) -1/4)) (+.f64 x (/.f64 -1/2 x)))
(*.f64 (+.f64 x (/.f64 1/2 x)) 1)
(+.f64 x (/.f64 1/2 x))
(*.f64 1 (+.f64 x (/.f64 1/2 x)))
(+.f64 x (/.f64 1/2 x))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))
(+.f64 x (/.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) 1) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1/2)))
(*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))) 1))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) 1) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1/2)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (-.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x -2) -1/4)) (+.f64 x (/.f64 -1/2 x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (pow.f64 (/.f64 1 (-.f64 x (/.f64 1/2 x))) 1))
(/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x -2) -1/4)) (+.f64 x (/.f64 -1/2 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 x (/.f64 1/2 x)))
(+.f64 x (/.f64 1/2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3))
(+.f64 x (/.f64 1/2 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (/.f64 1/2 x)) (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x (/.f64 1/2 x)) (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)) (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) 1) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1/2)))
(/.f64 1 (/.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x -2) -1/4)) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) 1) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1/2)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 1/4 (pow.f64 x -2) (-.f64 (*.f64 x x) (/.f64 x (+.f64 x x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 1/4 (pow.f64 x -2) (fma.f64 x x -1/2)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x -2) -1/4)) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3))) (neg.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) 1) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))) (neg.f64 (-.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x -2) -1/4)) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x -2)) (*.f64 x x)) (-.f64 (/.f64 1/2 x) x))
(/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x -2) -1/4)) (+.f64 x (/.f64 -1/2 x)))
(pow.f64 (+.f64 x (/.f64 1/2 x)) 1)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 3)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 1/2)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 1/3)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 2)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)) (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3))) -1)
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) 1) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x)))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1/2)))
(pow.f64 (/.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))) -1)
(/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x -2) -1/4)) (+.f64 x (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))
(+.f64 x (/.f64 1/2 x))
(log.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))
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(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3))
(fma.f64 x 2 (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 1))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 1) 1))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2))
(fma.f64 x 2 (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 x 1 (+.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (/.f64 1/2 x) 1 (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (+.f64 x (/.f64 1/2 x)) 1 x)
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 x (+.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (+.f64 x x) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) x)
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (+.f64 x x))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) x) x)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (+.f64 x x))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) x) x)
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))) x)
(+.f64 x (/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))))
(+.f64 x (/.f64 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (*.f64 1/4 (pow.f64 x -2)) -1/2))))
(fma.f64 (/.f64 1 x) 1/2 (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (+.f64 x x) 1 (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (-.f64 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (-.f64 x (/.f64 1/2 x))) x)
(fma.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (pow.f64 x -2))) (/.f64 1 (-.f64 x (/.f64 1/2 x))) x)
(+.f64 x (/.f64 (fma.f64 x x (*.f64 (pow.f64 x -2) -1/4)) (+.f64 x (/.f64 -1/2 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))

localize87.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
99.9%
(*.f64 3/40 (pow.f64 x 5))
99.8%
(*.f64 -1/6 (pow.f64 x 3))
73.2%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
Compiler

Compiled 58 to 44 computations (24.1% saved)

series3.0ms (0%)

Counts
4 → 9
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
0.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@0
(*.f64 3/40 (pow.f64 x 5))
0.0ms
x
@inf
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@0
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))

rewrite122.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1212×log-prod
1200×fma-def
604×pow-exp
590×pow-prod-up
544×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01370
130070
2380070
Stop Event
node limit
Counts
4 → 190
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 2) (*.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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))
(fma.f64 x 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 x (*.f64 (*.f64 x x) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 5) 3/40 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 x x) (*.f64 x -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 1 x)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) x)
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) x)
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 9) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) -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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) -1/216)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 27/64000 (pow.f64 x 15)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(sqrt.f64 (*.f64 9/1600 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 27/64000 (pow.f64 x 15)))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 27/64000 (pow.f64 x 15))) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)
(-.f64 (/.f64 (*.f64 9/1600 (pow.f64 x 10)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(*.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 3/40 (pow.f64 x 6)))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 9/1600 (pow.f64 x 10))) (-.f64 x (*.f64 3/40 (pow.f64 x 5))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 x 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)

simplify129.0ms (1.8%)

Algorithm
egg-herbie
Rules
1344×times-frac
1056×unswap-sqr
620×fma-neg
502×log-prod
354×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04216167
19856021
230445881
Stop Event
node limit
Counts
199 → 219
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 2) (*.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)
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(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (-.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/36)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) 1/6)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (*.f64 x (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x (+.f64 (fma.f64 (pow.f64 x 5) -3/40 x) (*.f64 (pow.f64 x 3) 1/6)) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 2) (*.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (*.f64 x x)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) -1)
(/.f64 (*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(pow.f64 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) -1)
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 (fma.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))
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(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1) 1))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5)))) 3))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (*.f64 (log.f64 (*.f64 27/64000 (pow.f64 x 15))) 1/3))
(cbrt.f64 (*.f64 27/64000 (pow.f64 x 15)))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 3) 1/3))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2))) 2))
(*.f64 3/40 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(-.f64 (/.f64 (*.f64 9/1600 (pow.f64 x 10)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 -3/40 (pow.f64 x 6)))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(*.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 1 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 -3/40 (pow.f64 x 6)))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 -3/40 (pow.f64 x 6)))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 3/40 (pow.f64 x 6)))))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 -3/40 (pow.f64 x 6)))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 (neg.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 -3/40 (pow.f64 x 6)))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 (neg.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 9/1600 (pow.f64 x 10))) (-.f64 x (*.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) -1)
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 -3/40 (pow.f64 x 6)))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(pow.f64 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) -1)
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)) (+.f64 1 (expm1.f64 x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(fma.f64 3/40 (pow.f64 x 5) x)
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1) 1))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 3))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1/3))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 3/40 (pow.f64 x 5) x)
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 x 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 5))) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)
(fma.f64 3/40 (pow.f64 x 5) x)

eval216.0ms (2.9%)

Compiler

Compiled 8096 to 5793 computations (28.4% saved)

prune62.0ms (0.8%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New4040404
Fresh055
Picked011
Done066
Total40412416
Accurracy
100.0%
Counts
416 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.9%
(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
57.2%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)
58.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
29.3%
(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
62.2%
(copysign.f64 (log1p.f64 x) x)
26.7%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
21.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
29.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x x)) x)
7.9%
(copysign.f64 (log.f64 (neg.f64 x)) x)
58.4%
(copysign.f64 x x)
Compiler

Compiled 173 to 121 computations (30.1% saved)

localize83.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize19.0ms (0.3%)

Compiler

Compiled 13 to 5 computations (61.5% saved)

localize177.0ms (2.4%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
78.4%
(-.f64 (hypot.f64 1 x) x)
48.8%
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 37 to 26 computations (29.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
0.0ms
x
@inf
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
0.0ms
x
@-inf
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
0.0ms
x
@inf
(-.f64 (hypot.f64 1 x) x)
0.0ms
x
@-inf
(-.f64 (hypot.f64 1 x) x)

rewrite73.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1874×pow1
1730×add-exp-log
1730×log1p-expm1-u
1730×expm1-log1p-u
1688×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0953
118753
2239553
Stop Event
node limit
Counts
3 → 91
Calls
Call 1
Inputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
Outputs
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))

simplify73.0ms (1%)

Algorithm
egg-herbie
Rules
592×associate-+l+
558×fma-neg
538×distribute-rgt-in
516×distribute-lft-in
488×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02973815
18183357
228693199
Stop Event
node limit
Counts
127 → 209
Calls
Call 1
Inputs
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 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
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 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
Outputs
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 (*.f64 x x))))
(-.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 (*.f64 x x))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.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 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.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 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.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 (+.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 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/2) x))
(+.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (-.f64 (*.f64 (pow.f64 x 4) -1/8) x)))
(+.f64 1 (-.f64 (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/8)) x))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 -5/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 1/8 (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 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (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 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 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 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/2 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 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(/.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(-.f64 (hypot.f64 1 x) x)
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 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 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(-.f64 (hypot.f64 1 x) x)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(-.f64 (hypot.f64 1 x) x)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x))) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 0)
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))

localize339.0ms (4.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.0%
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
98.8%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
81.1%
(+.f64 x (hypot.f64 1 x))
48.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 46 to 33 computations (28.3% saved)

series13.0ms (0.2%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
5.0ms
x
@inf
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
1.0ms
x
@inf
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@0
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
1.0ms
x
@-inf
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

rewrite207.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1912×pow1
1782×add-exp-log
1780×log1p-expm1-u
1780×expm1-log1p-u
204×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
122438
2249338
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (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 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 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 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 (cbrt.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 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))

simplify104.0ms (1.4%)

Algorithm
egg-herbie
Rules
1804×times-frac
694×distribute-lft-in
688×distribute-rgt-in
566×unswap-sqr
558×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02965928
19225174
232224922
Stop Event
node limit
Counts
62 → 116
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/72 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) (*.f64 (pow.f64 (*.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (*.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 4))))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 5/96 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (pow.f64 x 6)))) (+.f64 (*.f64 -1/18 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (pow.f64 x 6) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (*.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 6)))) (+.f64 (*.f64 1/72 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (*.f64 -1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3) (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (-.f64 5/96 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)))))))) (pow.f64 x 6))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (*.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 4))) (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))))))))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (*.f64 1/72 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 4))))) (*.f64 (/.f64 (+.f64 (*.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))) (pow.f64 x 4)) (pow.f64 (*.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3)))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (+.f64 (*.f64 -1/18 (*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 6))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (*.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (*.f64 -1/6 (/.f64 (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6)))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1/12 (*.f64 (/.f64 (+.f64 (*.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))) (pow.f64 x 6)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3))) (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 -1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3) (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 (*.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (*.f64 -1/6 (/.f64 (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))))) (pow.f64 x 6)) (pow.f64 (*.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3)) (+.f64 (*.f64 1/72 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 4))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (+.f64 (*.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))) (pow.f64 x 4)) (pow.f64 (*.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3)))))))))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (-.f64 5/96 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (pow.f64 x 6)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3))))
(pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3)
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 (*.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (*.f64 -1/6 (/.f64 (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (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 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 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 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 (cbrt.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 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
Outputs
(*.f64 (pow.f64 1 1/3) (+.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 (pow.f64 1 1/3) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 (/.f64 1 (*.f64 x x)) 1/4))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 x))
(+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/72 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) (*.f64 (pow.f64 (*.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (*.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 4))))))))
(+.f64 (+.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 -1/3 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (pow.f64 x 4)))) (+.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1/4) (fma.f64 1/72 (/.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 (/.f64 (fma.f64 -2/3 (*.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (cbrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) (*.f64 1/144 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 4))))) (pow.f64 x 4)) (cbrt.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/3 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 -2/3 (*.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (log.f64 x)))) (cbrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) (*.f64 1/144 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 4))))) (pow.f64 x 4)) (cbrt.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1/72 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4)))))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/3 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 -2/3 (*.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (log.f64 x)))) (cbrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) (*.f64 1/144 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 4))))) (pow.f64 x 4)) (cbrt.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 1/72 (pow.f64 x 4)) (+.f64 (log.f64 2) (log.f64 x)))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 5/96 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (pow.f64 x 6)))) (+.f64 (*.f64 -1/18 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (pow.f64 x 6) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (*.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 6)))) (+.f64 (*.f64 1/72 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (*.f64 -1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3) (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (-.f64 5/96 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)))))))) (pow.f64 x 6))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (*.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (*.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 4))) (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))))))))))))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 5/96 (fma.f64 -1/6 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2)))) (pow.f64 x 6))) (+.f64 (+.f64 (*.f64 -1/18 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (*.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 6)))) (*.f64 -1/3 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (pow.f64 x 4)))) (fma.f64 1/12 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2))) (fma.f64 -2/3 (*.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (cbrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) (*.f64 1/144 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 4)))))) (pow.f64 x 6)) (fma.f64 1/72 (/.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (+.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (fma.f64 -1/18 (*.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 4)))) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) (-.f64 5/96 (fma.f64 -1/6 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2)))))) (pow.f64 x 6)) (fma.f64 1/12 (/.f64 1 (*.f64 x x)) (fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (fma.f64 -2/3 (*.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (cbrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) (*.f64 1/144 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 4))))) (pow.f64 x 4)) (*.f64 (/.f64 1 (*.f64 x x)) 1/6)))))))))
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(+.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (fma.f64 1/3 (*.f64 (/.f64 (-.f64 (-.f64 (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 5/96) (*.f64 -1/6 (/.f64 (-.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (fma.f64 1/3 (*.f64 (/.f64 (-.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (*.f64 (*.f64 -1/12 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (/.f64 1 (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (+.f64 (/.f64 (-.f64 (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (fma.f64 -1/6 (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 5/96)) (pow.f64 x 6)) (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)))) (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (*.f64 x x)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 (/.f64 (+.f64 (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (-.f64 -5/96 (/.f64 (+.f64 -1/64 (/.f64 1/288 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)) (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4))))) (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (*.f64 x x)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (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 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (-.f64 (*.f64 x x) 1) (*.f64 x x))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -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 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (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 (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 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 (cbrt.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 (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 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 4))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.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 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.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 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.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 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (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 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.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 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

localize334.0ms (4.5%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
81.1%
(+.f64 x (hypot.f64 1 x))
48.7%
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
Compiler

Compiled 57 to 40 computations (29.8% saved)

series3.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite61.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1740×pow1
1606×add-exp-log
1606×log1p-expm1-u
1606×expm1-log1p-u
1568×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
117838
2222138
Stop Event
node limit
Counts
2 → 48
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))

simplify61.0ms (0.8%)

Algorithm
egg-herbie
Rules
892×log-prod
860×fma-def
806×associate-+l+
792×associate-+r+
688×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01371556
12841428
28271292
342061252
Stop Event
node limit
Counts
56 → 79
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 3/80 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 -1/12 (pow.f64 x 3) (fma.f64 3/80 (pow.f64 x 5) (*.f64 1/2 x))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) -1/16 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) -1/16 1)))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3/2)
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))

eval679.0ms (9.2%)

Compiler

Compiled 20134 to 15299 computations (24% saved)

prune138.0ms (1.9%)

Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New7955800
Fresh000
Picked101
Done2911
Total79814812
Accurracy
100.0%
Counts
812 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(copysign.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
57.2%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)
58.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
29.3%
(copysign.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
26.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
79.6%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
62.2%
(copysign.f64 (log1p.f64 x) x)
21.8%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
21.7%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
29.3%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
24.5%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
24.4%
(copysign.f64 (log.f64 (+.f64 x x)) x)
7.9%
(copysign.f64 (log.f64 (neg.f64 x)) x)
58.4%
(copysign.f64 x x)
Compiler

Compiled 143 to 101 computations (29.4% saved)

regimes47.0ms (0.6%)

Counts
28 → 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)
(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 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
(copysign.f64 (log.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) 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 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.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 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))) x)
(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
(copysign.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
(copysign.f64 (fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
Calls

2 calls:

29.0ms
x
9.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
AccuracySegmentsBranch
99.1%2x
99.1%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 328 to 215 computations (34.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.5444911763370397e-7
-1.1430407724905953e-9
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes28.0ms (0.4%)

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

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 107 to 68 computations (36.4% saved)

bsearch38.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.7069198946189792e-5
0.02585932168278018
19.0ms
-154058.51308760935
-0.0002221194704015382
Results
34.0ms272×body256valid
Compiler

Compiled 410 to 303 computations (26.1% saved)

regimes47.0ms (0.6%)

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 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.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:

45.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
Compiler

Compiled 80 to 50 computations (37.5% saved)

bsearch36.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.02585932168278018
225.53248131118738
19.0ms
-154058.51308760935
-0.0002221194704015382
Results
32.0ms272×body256valid
Compiler

Compiled 426 to 311 computations (27% saved)

regimes17.0ms (0.2%)

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:

15.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch66.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.02585932168278018
225.53248131118738
50.0ms
-154058.51308760935
-0.0002221194704015382
Results
62.0ms272×body256valid
Compiler

Compiled 372 to 266 computations (28.5% saved)

regimes16.0ms (0.2%)

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:

14.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 46 to 28 computations (39.1% saved)

bsearch38.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.02585932168278018
225.53248131118738
22.0ms
-154058.51308760935
-0.0002221194704015382
Results
34.0ms272×body256valid
Compiler

Compiled 340 to 242 computations (28.8% saved)

regimes20.0ms (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:

13.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 37 to 22 computations (40.5% saved)

bsearch36.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.02585932168278018
225.53248131118738
20.0ms
-154058.51308760935
-0.0002221194704015382
Results
33.0ms272×body256valid
Compiler

Compiled 238 to 157 computations (34% saved)

regimes23.0ms (0.3%)

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:

21.0ms
x
Results
AccuracySegmentsBranch
85.3%3x
Compiler

Compiled 31 to 18 computations (41.9% saved)

bsearch36.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.02585932168278018
225.53248131118738
18.0ms
-154058.51308760935
-0.0002221194704015382
Results
33.0ms272×body256valid
Compiler

Compiled 229 to 148 computations (35.4% saved)

regimes9.0ms (0.1%)

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:

8.0ms
x
Results
AccuracySegmentsBranch
68.6%2x
Compiler

Compiled 25 to 15 computations (40% saved)

bsearch19.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
-154058.51308760935
-0.0002221194704015382
Results
18.0ms144×body256valid
Compiler

Compiled 134 to 93 computations (30.6% saved)

regimes9.0ms (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:

8.0ms
x
Results
AccuracySegmentsBranch
64.3%2x
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.02585932168278018
225.53248131118738
Results
14.0ms128×body256valid
Compiler

Compiled 105 to 68 computations (35.2% saved)

regimes4.0ms (0%)

Accuracy

Total -35.7b remaining (-133.9%)

Threshold costs -35.7b (-133.9%)

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
58.4%1x
Compiler

Compiled 10 to 6 computations (40% saved)

simplify21.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
086662
1105662
2116662
3126662
4142662
5167662
6171662
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4835703278458517/2417851639229258349412352) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x 5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (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 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x 1) (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) 4835703278458517/2417851639229258349412352) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 4835703278458517/2417851639229258349412352) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.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 4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x 5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (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 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x 1) (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 255 to 171 computations (32.9% saved)

soundness1.2s (15.8%)

Rules
1912×pow1
1804×times-frac
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
02232866
15932444
218822068
377702064
0938
117930
2231430
02232866
15932444
218822068
377702064
0938
117930
2231430
01138
122438
2249338
02965928
19225174
232224922
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02973815
18183357
228693199
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 1667 to 1090 computations (34.6% saved)

end230.0ms (3.1%)

Compiler

Compiled 560 to 340 computations (39.3% saved)

Profiling

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