Rust f64::asinh

Details

Time bar (total: 11.5s)

analyze0.0ms (0%)

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

Compiled 4 to 3 computations (25% saved)

sample1.2s (10.5%)

Results
1.2s8256×body256valid
Bogosity

preprocess25.0ms (0.2%)

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)

simplify68.0ms (0.6%)

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)

eval3.0ms (0%)

Compiler

Compiled 33 to 20 computations (39.4% saved)

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
54.6%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
54.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 20 to 14 computations (30% saved)

localize214.0ms (1.9%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
54.6%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series7.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms
x
@inf
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms
x
@-inf
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
0.0ms
x
@inf
(+.f64 (fabs.f64 x) (hypot.f64 1 x))

rewrite146.0ms (1.3%)

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)

simplify160.0ms (1.4%)

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

Useful iterations: 3 (0.0ms)

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

eval182.0ms (1.6%)

Compiler

Compiled 2603 to 1683 computations (35.3% saved)

prune117.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New13613149
Fresh000
Picked101
Done000
Total13713150
Accurracy
100.0%
Counts
150 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
32.7%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
14.7%
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
32.6%
(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
10.6%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
57.2%
(copysign.f64 (log1p.f64 x) x)
28.6%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
23.9%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
32.6%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
28.8%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
28.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
8.3%
(copysign.f64 (log.f64 (neg.f64 x)) x)
2.7%
(copysign.f64 (log.f64 0) x)
50.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
32.7%
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
14.7%
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
32.6%
(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
10.6%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
57.2%
(copysign.f64 (log1p.f64 x) x)
28.6%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
23.9%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
32.6%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
28.8%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
28.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
8.3%
(copysign.f64 (log.f64 (neg.f64 x)) x)
2.7%
(copysign.f64 (log.f64 0) x)
Compiler

Compiled 560 to 388 computations (30.7% saved)

localize340.0ms (3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
80.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 98 to 54 computations (44.9% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))
2.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))

rewrite145.0ms (1.3%)

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
0817
115817
2199917
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.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))

simplify90.0ms (0.8%)

Algorithm
egg-herbie
Rules
1204×distribute-lft-in
1042×distribute-rgt-in
716×fma-def
574×associate-+l-
514×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0115954
1280898
2841878
33674878
Stop Event
node limit
Counts
32 → 69
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)))))
(+.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))
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 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 (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 1/4 (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (log.f64 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 2) (+.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 5/96 (pow.f64 x 6))) (/.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 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))) (log.f64 (/.f64 -1 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 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 (/.f64 -1 x))))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 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 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (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))
(log1p.f64 (+.f64 x (-.f64 (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))))

eval92.0ms (0.8%)

Compiler

Compiled 1157 to 824 computations (28.8% saved)

prune65.0ms (0.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New66369
Fresh268
Picked235
Done000
Total701282
Accurracy
100.0%
Counts
82 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
51.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
10.6%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
77.6%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
57.2%
(copysign.f64 (log1p.f64 x) x)
28.6%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
23.9%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
32.6%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
28.8%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
28.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
8.3%
(copysign.f64 (log.f64 (neg.f64 x)) x)
51.8%
(copysign.f64 x x)
14.7%
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
51.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
10.6%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
77.6%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
57.2%
(copysign.f64 (log1p.f64 x) x)
28.6%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
23.9%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
32.6%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
28.8%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
28.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
8.3%
(copysign.f64 (log.f64 (neg.f64 x)) x)
51.8%
(copysign.f64 x x)
Compiler

Compiled 418 to 284 computations (32.1% saved)

localize700.0ms (6.1%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
74.6%
(-.f64 (hypot.f64 1 x) x)
74.2%
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
100.0%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
99.9%
(*.f64 -1/6 (pow.f64 x 3))
100.0%
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
100.0%
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
86.1%
(-.f64 (hypot.f64 1 x) 1)
Compiler

Compiled 117 to 74 computations (36.8% saved)

series11.0ms (0.1%)

Counts
8 → 75
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))
1.0ms
x
@0
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
1.0ms
x
@inf
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
1.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
1.0ms
x
@-inf
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

rewrite338.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1668×fma-def
1628×log-prod
666×fma-neg
652×expm1-udef
648×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017136
1385136
25141136
Stop Event
node limit
Counts
8 → 361
Calls
Call 1
Inputs
(-.f64 (hypot.f64 1 x) 1)
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(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 (hypot.f64 1 x) -1)
(+.f64 0 (+.f64 (hypot.f64 1 x) -1))
(+.f64 -1 (hypot.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1))) (cbrt.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (fma.f64 x x 1) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (+.f64 1 (hypot.f64 1 x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (*.f64 x x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (fma.f64 x x 1) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (fma.f64 x x 1) (-.f64 1 (*.f64 (hypot.f64 1 x) -1))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (neg.f64 (+.f64 (fma.f64 x x 1) (+.f64 1 (hypot.f64 1 x)))))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(expm1.f64 (log.f64 (hypot.f64 1 x)))
(expm1.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (hypot.f64 1 x) -1)
(fma.f64 (hypot.f64 1 x) 1 -1)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) -1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 x)) 1) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (*.f64 (sqrt.f64 (hypot.f64 1 x)) 1) -1)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))) 1)
(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(*.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 -1 x)))
(*.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1) (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (fma.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (-.f64 x (hypot.f64 1 x)) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (neg.f64 (fma.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (neg.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1) (fma.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x)) (+.f64 1 (*.f64 (+.f64 x (hypot.f64 1 x)) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))
(/.f64 (fma.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x)) -1) (+.f64 (+.f64 x (hypot.f64 1 x)) 1))
(pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x)) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 (hypot.f64 1 x) -1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))))
(expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))))
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 1 (hypot.f64 1 x) (+.f64 -1 x))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 (-.f64 1 x)))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(fma.f64 1 (+.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 -1 x))) -1)
(fma.f64 1 (+.f64 x (hypot.f64 1 x)) -1)
(fma.f64 x 1 (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (hypot.f64 1 x) 1 (+.f64 -1 x))
(fma.f64 (hypot.f64 1 x) 1 (neg.f64 (-.f64 1 x)))
(fma.f64 (+.f64 (hypot.f64 1 x) -1) 1 x)
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(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
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(/.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)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (fma.f64 x x 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 (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (*.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 (fma.f64 x x 1) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.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)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (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)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 1 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(fma.f64 1 (neg.f64 x) (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 (neg.f64 x))
(fma.f64 (hypot.f64 1 x) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 x)) 1) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 x)) 1) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (*.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (*.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (hypot.f64 1 x))
(fma.f64 -1 x (hypot.f64 1 x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 0 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.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))) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(*.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) (*.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 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.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))))
(log.f64 (+.f64 1 (expm1.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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))

simplify329.0ms (2.9%)

Algorithm
egg-herbie
Rules
1390×fma-neg
938×log-prod
812×fma-def
430×+-commutative
428×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081911984
1198211412
2640711274
Stop Event
node limit
Counts
436 → 600
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
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)))))
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
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)
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(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 0 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.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))) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(*.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) (*.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 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.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))))
(log.f64 (+.f64 1 (expm1.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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(+.f64 x (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 1 (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 -1 (/.f64 -1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 -1) (/.f64 1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) -1)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) -1) (/.f64 1/16 (pow.f64 x 5)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 x 3) -1/6 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))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 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)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (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 (/.f64 1/4 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 (log.f64 x) (+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6)))) (-.f64 (log.f64 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 (/.f64 1/4 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 (/.f64 1/4 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 (/.f64 1/4 x) x) (/.f64 5/96 (pow.f64 x 6))))))
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 x 3) -1/6 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))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 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)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (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 (/.f64 1/4 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 (log.f64 x) (+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6)))) (-.f64 (log.f64 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 (/.f64 1/4 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 (/.f64 1/4 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 (/.f64 1/4 x) x) (/.f64 5/96 (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1 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 (*.f64 1/2 (*.f64 x x)) (-.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 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (neg.f64 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 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 (*.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 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 5/128 (pow.f64 x 7)))
(*.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))))
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(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x 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))))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x 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))))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x 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))))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x x) (/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x x) (/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x x) (/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 x (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 x x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 x (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 x x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 x (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 x x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 0 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) 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 (hypot.f64 1 x) x))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.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 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.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 (hypot.f64 1 x) x))
(*.f64 (/.f64 1 (-.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 (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 (fma.f64 x x 1) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (*.f64 x x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(/.f64 1 (-.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 (hypot.f64 1 x) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.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 1 (-.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))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))

eval870.0ms (7.6%)

Compiler

Compiled 10251 to 7367 computations (28.1% saved)

prune201.0ms (1.7%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New5955600
Fresh134
Picked235
Done033
Total59814612
Accurracy
100.0%
Counts
612 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
10.6%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
28.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
32.7%
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) x)
65.7%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
57.2%
(copysign.f64 (log1p.f64 x) x)
24.0%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
23.9%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
32.6%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
28.8%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
28.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
8.3%
(copysign.f64 (log.f64 (neg.f64 x)) x)
51.8%
(copysign.f64 x x)
51.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
10.6%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
28.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
32.7%
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) x)
65.7%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
57.2%
(copysign.f64 (log1p.f64 x) x)
24.0%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
23.9%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
32.6%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
28.8%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
28.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
8.3%
(copysign.f64 (log.f64 (neg.f64 x)) x)
51.8%
(copysign.f64 x x)
Compiler

Compiled 412 to 286 computations (30.6% saved)

localize780.0ms (6.8%)

Local Accuracy

Found 7 expressions with local accuracy:

NewAccuracyProgram
78.4%
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
59.0%
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
99.9%
(/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
78.4%
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
90.2%
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
78.6%
(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
78.4%
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
Compiler

Compiled 178 to 117 computations (34.3% saved)

series100.0ms (0.9%)

Counts
7 → 84
Calls

21 calls:

TimeVariablePointExpression
43.0ms
x
@0
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
33.0ms
x
@-inf
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
19.0ms
x
@inf
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
1.0ms
x
@inf
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
1.0ms
x
@-inf
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))

rewrite168.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
578×add-sqr-sqrt
564×pow1
556×*-un-lft-identity
546×log1p-expm1-u
546×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025199
1573135
Stop Event
node limit
Counts
7 → 224
Calls
Call 1
Inputs
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))) 1)
(*.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 1))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(-.f64 (+.f64 (hypot.f64 1 x) -1) (neg.f64 x))
(-.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))) (/.f64 (pow.f64 (-.f64 1 x) 3) (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(-.f64 (/.f64 (+.f64 (*.f64 x x) 1) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 (hypot.f64 1 x) -1))) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 x (+.f64 (hypot.f64 1 x) -1))))
(*.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
(*.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (neg.f64 (-.f64 x (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 (*.f64 x x) 1) (-.f64 (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 x))) (*.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) 1) (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 x)))) (-.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))
(pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(fma.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (hypot.f64 1 x))) x)
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 (-.f64 1 x)))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))) 1)
(*.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 1))

simplify247.0ms (2.1%)

Algorithm
egg-herbie
Rules
1048×fma-neg
824×cancel-sign-sub-inv
574×sub-neg
502×fma-def
482×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04849778
112499314
243579092
Stop Event
node limit
Counts
308 → 335
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)))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 8 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (*.f64 128 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5)))))
(/.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 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.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 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))) 1)
(*.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 1))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(-.f64 (+.f64 (hypot.f64 1 x) -1) (neg.f64 x))
(-.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))) (/.f64 (pow.f64 (-.f64 1 x) 3) (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(-.f64 (/.f64 (+.f64 (*.f64 x x) 1) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 (hypot.f64 1 x) -1))) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 x (+.f64 (hypot.f64 1 x) -1))))
(*.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
(*.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (-.f64 x (+.f64 (hypot.f64 1 x) -1))))
(*.f64 (-.f64 (+.f64 (*.f64 x x) 1) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (-.f64 (+.f64 (*.f64 x x) 1) (pow.f64 (-.f64 1 x) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (+.f64 (hypot.f64 1 x) -1)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (-.f64 x (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 (*.f64 x x) 1) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
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(*.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 1))
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 (/.f64 1/4 (*.f64 x x)) (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 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (+.f64 (log.f64 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 (+.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 (+.f64 (+.f64 (log.f64 2) (/.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 (/.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 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)) (log.f64 1/2)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 -1 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8))
(fma.f64 (pow.f64 x 4) -1/8 (*.f64 x (*.f64 x 1/2)))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)))
(fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 x (*.f64 x 1/2))))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 6) 1/16 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 6) 1/16 (fma.f64 1/2 (*.f64 x x) (fma.f64 -5/128 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -1/8))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(+.f64 x (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (+.f64 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 -1 (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 -1 (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -2 x) (*.f64 8 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 (pow.f64 x 3) 8))
(fma.f64 (pow.f64 x 3) 8 (*.f64 x -2))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -32)))
(fma.f64 x -2 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x 5) -32)))
(+.f64 (*.f64 128 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -32))))
(fma.f64 (pow.f64 x 7) 128 (fma.f64 x -2 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x 5) -32))))
(/.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 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/32 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/128 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(/.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 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/32 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/128 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 1/32 (pow.f64 x 5))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 -1 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (-.f64 x (+.f64 -1 (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (+.f64 x (-.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (+.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2) (*.f64 x (-.f64 x (+.f64 -1 (hypot.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x (+.f64 x (-.f64 1 (hypot.f64 1 x))) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (-.f64 x (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (-.f64 x (+.f64 -1 (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (+.f64 x (-.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 (+.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (+.f64 (*.f64 x x) 1) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (neg.f64 (-.f64 x (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (-.f64 x (+.f64 -1 (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (+.f64 x (-.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 (*.f64 x x) 1) (-.f64 (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 x))) (*.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) 1) (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 x)))) (-.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (-.f64 x (+.f64 -1 (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (+.f64 x (-.f64 1 (hypot.f64 1 x))))
(pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 1)
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3)
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 3) 1/3)
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 2))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 3))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (hypot.f64 1 x))) x)
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 (-.f64 1 x)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 (-.f64 1 x)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 (-.f64 1 x)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))) 1)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0)) 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 (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0)) 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 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 3)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3) 1/3)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 1))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval252.0ms (2.2%)

Compiler

Compiled 5809 to 4270 computations (26.5% saved)

prune148.0ms (1.3%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New3350335
Fresh033
Picked055
Done066
Total33514349
Accurracy
100.0%
Counts
349 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
10.6%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
28.7%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
32.7%
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) x)
65.7%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
3.1%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
57.2%
(copysign.f64 (log1p.f64 x) x)
24.0%
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
23.9%
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
32.6%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
28.8%
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
28.6%
(copysign.f64 (log.f64 (+.f64 x x)) x)
8.3%
(copysign.f64 (log.f64 (neg.f64 x)) x)
51.8%
(copysign.f64 x x)
Compiler

Compiled 348 to 230 computations (33.9% saved)

regimes106.0ms (0.9%)

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

2 calls:

57.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
38.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
99.6%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 239 to 155 computations (35.1% saved)

regimes46.0ms (0.4%)

Counts
14 → 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 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.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 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

40.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 103 to 67 computations (35% saved)

regimes50.0ms (0.4%)

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 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.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 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

44.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 84 to 54 computations (35.7% saved)

regimes37.0ms (0.3%)

Counts
11 → 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 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.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)
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:

33.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 76 to 49 computations (35.5% saved)

regimes35.0ms (0.3%)

Counts
10 → 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 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.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:

31.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 64 to 40 computations (37.5% saved)

regimes33.0ms (0.3%)

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

29.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 54 to 34 computations (37% saved)

regimes35.0ms (0.3%)

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

25.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes23.0ms (0.2%)

Counts
5 → 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 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
83.4%3x
Compiler

Compiled 25 to 14 computations (44% saved)

regimes57.0ms (0.5%)

Counts
4 → 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)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

55.0ms
x
Results
AccuracySegmentsBranch
64.4%2x
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes12.0ms (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:

11.0ms
x
Results
AccuracySegmentsBranch
58.9%2x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes11.0ms (0.1%)

Accuracy

Total -31.5b remaining (-102%)

Threshold costs -31.5b (-102%)

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:

10.0ms
x
Results
AccuracySegmentsBranch
51.8%1x
Compiler

Compiled 10 to 6 computations (40% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.8478223065030677
-3.052211816157385e-10
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch70.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
4.158251496662879e-12
0.07181254917932563
35.0ms
-23.434755981806425
-3.052211781824126e-10
Results
62.0ms320×body256valid
Compiler

Compiled 327 to 222 computations (32.1% saved)

bsearch69.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
4.158251496662879e-12
0.07181254917932563
36.0ms
-23.434755981806425
-3.052211781824126e-10
Results
60.0ms320×body256valid
Compiler

Compiled 357 to 252 computations (29.4% saved)

bsearch71.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
0.7888964426812277
358.2439761632146
46.0ms
-23.434755981806425
-3.052211781824126e-10
Results
63.0ms288×body256valid
Compiler

Compiled 451 to 330 computations (26.8% saved)

bsearch65.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
0.7888964426812277
358.2439761632146
36.0ms
-23.434755981806425
-3.052211781824126e-10
Results
55.0ms288×body256valid
Compiler

Compiled 391 to 280 computations (28.4% saved)

bsearch59.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
0.7888964426812277
358.2439761632146
33.0ms
-23.434755981806425
-3.052211781824126e-10
Results
50.0ms288×body256valid
Compiler

Compiled 359 to 256 computations (28.7% saved)

bsearch66.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
0.7888964426812277
358.2439761632146
41.0ms
-23.434755981806425
-3.052211781824126e-10
Results
59.0ms288×body256valid
Compiler

Compiled 251 to 166 computations (33.9% saved)

bsearch127.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
49.0ms
0.7888964426812277
358.2439761632146
78.0ms
-23.434755981806425
-3.052211781824126e-10
Results
120.0ms288×body256valid
Compiler

Compiled 241 to 156 computations (35.3% saved)

bsearch33.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
-23.434755981806425
-3.052211781824126e-10
Results
29.0ms160×body256valid
Compiler

Compiled 147 to 102 computations (30.6% saved)

bsearch119.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
119.0ms
0.7888964426812277
358.2439761632146
Results
116.0ms128×body256valid
Compiler

Compiled 105 to 68 computations (35.2% saved)

simplify41.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
095717
1115717
2128717
3139717
4142717
5143717
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) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -2420212822470693/295147905179352825856) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 2420212822470693/295147905179352825856) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -3602879701896397/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 2420212822470693/295147905179352825856) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (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 -5764607523034235/4503599627370496) (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 -5764607523034235/4503599627370496) (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 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.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) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -2420212822470693/295147905179352825856) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 2420212822470693/295147905179352825856) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -3602879701896397/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 2420212822470693/295147905179352825856) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (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 -1080863910568919/1125899906842624) (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 -5764607523034235/4503599627370496) (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 -5764607523034235/4503599627370496) (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 -5764607523034235/4503599627370496) (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 -5764607523034235/4503599627370496) (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 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 277 to 184 computations (33.6% saved)

soundness3.0s (26.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
11827
21927
0938
117930
2231430
02232866
15932444
218822068
377702064
017136
1385136
25141136
081911984
1198211412
2640711274
0938
117930
2231430
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
02232866
15932444
218822068
377702064
081911984
1198211412
2640711274
0817
115817
2199917
0115954
1280898
2841878
33674878
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 1656 to 1090 computations (34.2% saved)

end322.0ms (2.8%)

Compiler

Compiled 602 to 360 computations (40.2% saved)

Profiling

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