Rust f64::asinh

Time bar (total: 5.7s)

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)

sample613.0ms (10.7%)

Results
602.0ms8256×body256valid
Bogosity

preprocess15.0ms (0.3%)

Algorithm
egg-herbie
Rules
sub-neg
fma-def
+-commutative
*-commutative
associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
11114
21314
31514
42014
52414
62914
Stop Event
saturated
Calls
Call 1
Inputs
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
Outputs
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
57.6%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
57.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 20 to 14 computations (30% saved)

localize105.0ms (1.8%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
57.6%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.9%)

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
0921
117917
2231417
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.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))

simplify58.0ms (1%)

Algorithm
egg-herbie
Rules
1222×times-frac
934×fma-def
836×associate-*r*
742×associate-*l*
510×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321292
13291196
210161062
34831992
Stop Event
node limit
Counts
32 → 83
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 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))
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 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (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 1/720 (*.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))))))
(fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (*.f64 (+.f64 (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (*.f64 (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+.f64 (log.f64 x) (/.f64 x x))
(+.f64 1 (log.f64 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)))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x)))
(+.f64 (/.f64 (fabs.f64 x) x) (fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 x) (fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 x x)))
(+.f64 (log.f64 x) (fma.f64 1/2 (+.f64 (/.f64 1 (*.f64 x x)) -1) 1))
(+.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))))
(fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (+.f64 (/.f64 (fabs.f64 x) x) (fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (log.f64 x))))
(+.f64 (/.f64 x x) (fma.f64 1/6 (/.f64 (fma.f64 x -3 (*.f64 2 (pow.f64 x 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (log.f64 x))))
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x -3)) (pow.f64 x 3)) (fma.f64 1/2 (+.f64 (/.f64 1 (*.f64 x x)) -1) (log.f64 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 x) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (/.f64 (fabs.f64 x) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 x x))
(-.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x))))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (/.f64 (fabs.f64 x) x))))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 (fabs.f64 x) x))
(-.f64 (*.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 x x) (log.f64 (/.f64 -1 x))))
(-.f64 (fma.f64 1/2 (+.f64 (/.f64 1 (*.f64 x x)) -1) -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.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))))))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (/.f64 (fabs.f64 x) x) (*.f64 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) -1/6))))
(fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (-.f64 (*.f64 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) -1/6) (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 -1 x))))
(fma.f64 1/2 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/3) (*.f64 x 1/2)) (pow.f64 x 3)) (+.f64 (/.f64 x x) (log.f64 (/.f64 -1 x)))))
(-.f64 (fma.f64 (/.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x -3)) (pow.f64 x 3)) -1/6 (fma.f64 1/2 (+.f64 (/.f64 1 (*.f64 x x)) -1) -1)) (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 (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 (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 (+.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 x (+.f64 -1 (hypot.f64 1 x))))

eval33.0ms (0.6%)

Compiler

Compiled 1735 to 1120 computations (35.4% saved)

prune31.0ms (0.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New721183
Fresh000
Picked011
Done000
Total721284
Accurracy
100.0%
Counts
84 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x)))) x)
46.8%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x))) x)
47.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
9.1%
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
11.4%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
8.7%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
77.3%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
62.3%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
54.9%
(copysign.f64 (log1p.f64 x) x)
57.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
35.4%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
20.4%
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
46.4%
(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x)))) x)
46.8%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x))) x)
47.5%
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
9.1%
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
11.4%
(copysign.f64 (+.f64 1 (log.f64 x)) x)
8.7%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
77.3%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
62.3%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
54.9%
(copysign.f64 (log1p.f64 x) x)
57.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
35.4%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
20.4%
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
Compiler

Compiled 696 to 510 computations (26.7% saved)

localize277.0ms (4.9%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
78.2%
(log.f64 (+.f64 1 (fabs.f64 x)))
87.8%
(-.f64 (hypot.f64 1 x) 1)
Compiler

Compiled 127 to 77 computations (39.4% saved)

series53.0ms (0.9%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
25.0ms
x
@0
(log.f64 (+.f64 1 (fabs.f64 x)))
16.0ms
x
@inf
(log.f64 (+.f64 1 (fabs.f64 x)))
12.0ms
x
@-inf
(log.f64 (+.f64 1 (fabs.f64 x)))
0.0ms
x
@-inf
(-.f64 (hypot.f64 1 x) 1)
0.0ms
x
@0
(-.f64 (hypot.f64 1 x) 1)

rewrite184.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1880×pow1
1734×add-exp-log
1732×log1p-expm1-u
1732×expm1-log1p-u
214×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01022
120918
2269418
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(-.f64 (hypot.f64 1 x) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))
Outputs
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (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 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (/.f64 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 (+.f64 1 (*.f64 x x)) (+.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 (+.f64 1 (*.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 (hypot.f64 1 x) -1))))
(/.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (-.f64 (hypot.f64 1 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1)) (neg.f64 (+.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 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(expm1.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (hypot.f64 1 x) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)

simplify60.0ms (1.1%)

Algorithm
egg-herbie
Rules
818×fma-def
606×log-prod
588×unswap-sqr
570×div-sub
534×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01611321
13761167
211801113
346131113
Stop Event
node limit
Counts
65 → 107
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))
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (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 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (/.f64 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 (+.f64 1 (*.f64 x x)) (+.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 (+.f64 1 (*.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 (hypot.f64 1 x) -1))))
(/.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (-.f64 (hypot.f64 1 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1)) (neg.f64 (+.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 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(expm1.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (hypot.f64 1 x) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
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 -1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 1/16 (pow.f64 x 6))))
(+.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 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 x (*.f64 1/2 x) (*.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 -5/128 (pow.f64 x 8) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))))
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 x -1) (/.f64 1/2 x))
(-.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 -1) (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x -1) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x)))
(-.f64 (fma.f64 x -1 -1) (/.f64 1/2 x))
(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (/.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 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 1/2 x)) -1)
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(+.f64 -1 (hypot.f64 1 x))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))
(+.f64 -1 (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -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 -1 (hypot.f64 1 x))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(*.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (+.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 (hypot.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (+.f64 1 (*.f64 x x)) -1)))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 (hypot.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(/.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (-.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(/.f64 (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(+.f64 -1 (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(+.f64 -1 (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(+.f64 -1 (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(+.f64 -1 (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(+.f64 -1 (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 -1 (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(+.f64 -1 (hypot.f64 1 x))
(expm1.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 -1 (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)) 1))
(+.f64 -1 (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 -1 (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 (*.f64 x x) 1)) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(+.f64 -1 (hypot.f64 1 x))
(+.f64 0 (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x (neg.f64 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 x -1))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(log1p.f64 x)
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(log1p.f64 x)

eval32.0ms (0.6%)

Compiler

Compiled 1532 to 1055 computations (31.1% saved)

prune48.0ms (0.8%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New1016107
Fresh426
Picked145
Done011
Total10613119
Accurracy
100.0%
Counts
119 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.1%
(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
9.1%
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
8.7%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
65.4%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
77.3%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
31.6%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 x 1))) x)
3.5%
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
52.2%
(copysign.f64 (log1p.f64 (+.f64 x (*.f64 1/2 (*.f64 x x)))) x)
38.8%
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
62.3%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
54.9%
(copysign.f64 (log1p.f64 x) x)
57.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
35.4%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
13.1%
(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
9.1%
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
8.7%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
65.4%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
77.3%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
31.6%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 x 1))) x)
3.5%
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
52.2%
(copysign.f64 (log1p.f64 (+.f64 x (*.f64 1/2 (*.f64 x x)))) x)
38.8%
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
62.3%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
54.9%
(copysign.f64 (log1p.f64 x) x)
57.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
35.4%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Compiler

Compiled 410 to 278 computations (32.2% saved)

localize425.0ms (7.5%)

Local Accuracy

Found 5 expressions with local accuracy:

NewAccuracyProgram
78.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
100.0%
(log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x))))
78.2%
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
100.0%
(+.f64 1 (hypot.f64 1 x))
100.0%
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
Compiler

Compiled 168 to 99 computations (41.1% saved)

series51.0ms (0.9%)

Counts
5 → 60
Calls

15 calls:

TimeVariablePointExpression
25.0ms
x
@0
(log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x))))
11.0ms
x
@-inf
(log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x))))
8.0ms
x
@inf
(log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x))))
4.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))

rewrite103.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
830×expm1-udef
826×log1p-udef
508×add-sqr-sqrt
498×pow1
492×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021101
149089
2739789
Stop Event
node limit
Counts
5 → 144
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(+.f64 1 (hypot.f64 1 x))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 1 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 1)
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (cbrt.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (cbrt.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1 (-.f64 (+.f64 (*.f64 x x) 1) (hypot.f64 1 x))))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (+.f64 (*.f64 x x) 1))) (-.f64 1 (hypot.f64 1 x)))
(pow.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 x))) (/.f64 (+.f64 (*.f64 x x) 1) (-.f64 1 (hypot.f64 1 x))))
(*.f64 1 (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 (*.f64 x x) 1) (hypot.f64 1 x)))))
(*.f64 (-.f64 1 (+.f64 (*.f64 x x) 1)) (/.f64 1 (-.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (-.f64 (hypot.f64 1 x) 1))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 (*.f64 x x) 1) (hypot.f64 1 x))) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (hypot.f64 1 x)) (-.f64 1 (+.f64 (*.f64 x x) 1))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (-.f64 (+.f64 (*.f64 x x) 1) (hypot.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 (*.f64 x x) 1) (-.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 (*.f64 x x) 1)) (-.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 1 (-.f64 (+.f64 (*.f64 x x) 1) (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (+.f64 (*.f64 x x) 1))) (neg.f64 (-.f64 1 (hypot.f64 1 x))))
(pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x))))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))
(fma.f64 1 (hypot.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 (log1p.f64 x) -1))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 x) -1) 1))
(+.f64 (log1p.f64 x) 0)
(+.f64 (+.f64 1 (log1p.f64 x)) -1)
(+.f64 -1 (+.f64 1 (log1p.f64 x)))
(+.f64 (+.f64 (log1p.f64 x) -1) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2))))
(*.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x)) (/.f64 1 (+.f64 (log1p.f64 x) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) 2) (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 x)) -1))))
(/.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x)) (+.f64 (log1p.f64 x) 2))
(/.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x)) (-.f64 (+.f64 1 (log1p.f64 x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x))) (neg.f64 (+.f64 (log1p.f64 x) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 x) -1) (+.f64 (log1p.f64 x) -1)) (+.f64 (log1p.f64 x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 x) -1) (+.f64 (log1p.f64 x) -1))) (-.f64 1 (+.f64 (log1p.f64 x) -1)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(fma.f64 1 (+.f64 1 (log1p.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) (sqrt.f64 (+.f64 1 (log1p.f64 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))))) 1)
(*.f64 1 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))))
(*.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) (sqrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 2))
(log.f64 (+.f64 1 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 1))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 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 (*.f64 x x) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))

simplify152.0ms (2.7%)

Algorithm
egg-herbie
Rules
614×cancel-sign-sub-inv
540×fma-neg
498×associate-+r-
484×sub-neg
416×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04495244
111434928
241874698
Stop Event
node limit
Counts
204 → 326
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))
2
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
x
(+.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 1 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 1)
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (cbrt.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (cbrt.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1 (-.f64 (+.f64 (*.f64 x x) 1) (hypot.f64 1 x))))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (+.f64 (*.f64 x x) 1))) (-.f64 1 (hypot.f64 1 x)))
(pow.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) (+.f64 -1 (neg.f64 (hypot.f64 1 x)))))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 x))) (/.f64 (+.f64 (*.f64 x x) 1) (-.f64 1 (hypot.f64 1 x))))
(*.f64 1 (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 (*.f64 x x) 1) (hypot.f64 1 x)))))
(*.f64 (-.f64 1 (+.f64 (*.f64 x x) 1)) (/.f64 1 (-.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (-.f64 (hypot.f64 1 x) 1))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 (*.f64 x x) 1) (hypot.f64 1 x))) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (hypot.f64 1 x)) (-.f64 1 (+.f64 (*.f64 x x) 1))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (-.f64 (+.f64 (*.f64 x x) 1) (hypot.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 (*.f64 x x) 1) (-.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 (*.f64 x x) 1)) (-.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 1 (-.f64 (+.f64 (*.f64 x x) 1) (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (+.f64 (*.f64 x x) 1))) (neg.f64 (-.f64 1 (hypot.f64 1 x))))
(pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x))))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))
(fma.f64 1 (hypot.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 (log1p.f64 x) -1))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 x) -1) 1))
(+.f64 (log1p.f64 x) 0)
(+.f64 (+.f64 1 (log1p.f64 x)) -1)
(+.f64 -1 (+.f64 1 (log1p.f64 x)))
(+.f64 (+.f64 (log1p.f64 x) -1) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2))))
(*.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x)) (/.f64 1 (+.f64 (log1p.f64 x) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) 2) (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 x)) -1))))
(/.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x)) (+.f64 (log1p.f64 x) 2))
(/.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x)) (-.f64 (+.f64 1 (log1p.f64 x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x))) (neg.f64 (+.f64 (log1p.f64 x) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 x) -1) (+.f64 (log1p.f64 x) -1)) (+.f64 (log1p.f64 x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 x) -1) (+.f64 (log1p.f64 x) -1))) (-.f64 1 (+.f64 (log1p.f64 x) -1)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(fma.f64 1 (+.f64 1 (log1p.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) (sqrt.f64 (+.f64 1 (log1p.f64 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))))) 1)
(*.f64 1 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))))
(*.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) (sqrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 2))
(log.f64 (+.f64 1 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 1))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 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 (*.f64 x x) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
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 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6))))
(+.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 (+.f64 x -1) (/.f64 1/2 x))
(-.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 (/.f64 1/2 x) (-.f64 (+.f64 x -1) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (+.f64 x -1) (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.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 -1/2 x) (-.f64 -1 x))
(+.f64 -1 (-.f64 (/.f64 -1/2 x) 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 -1/2 x) (-.f64 -1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (-.f64 (/.f64 -1/2 x) x)))
2
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) 2))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/2 (*.f64 x x) 2) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6))))
x
(+.f64 1 x)
(+.f64 x 1)
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(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 2))
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) (sqrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 1)
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 3)
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 3) 1/3)
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 2)
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 2))
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(log.f64 (+.f64 1 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x))) 3))
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 x (-.f64 (+.f64 (/.f64 -1/2 x) -1) x)))) 1))
(log1p.f64 (+.f64 x (+.f64 (/.f64 -1/2 x) (-.f64 -1 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 -1 x) x)))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 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 (*.f64 x x) 1))) (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 (exp.f64 (log1p.f64 (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)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.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)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))

eval160.0ms (2.8%)

Compiler

Compiled 5576 to 3740 computations (32.9% saved)

prune84.0ms (1.5%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New3197326
Fresh213
Picked235
Done235
Total32514339
Accurracy
100.0%
Counts
339 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(copysign.f64 (fma.f64 -1/2 (*.f64 x x) x) x)
24.2%
(copysign.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))) x)
13.1%
(copysign.f64 (+.f64 (+.f64 (log1p.f64 x) -1) 1) x)
48.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
24.4%
(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) x)
8.7%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
51.5%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x)))))) x)
31.6%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 x 1))) x)
3.5%
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
38.8%
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
3.8%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
54.9%
(copysign.f64 (log1p.f64 x) x)
57.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
35.4%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
47.6%
(copysign.f64 (fma.f64 -1/2 (*.f64 x x) x) x)
24.2%
(copysign.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))) x)
13.1%
(copysign.f64 (+.f64 (+.f64 (log1p.f64 x) -1) 1) x)
48.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
24.4%
(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) x)
8.7%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
51.5%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x)))))) x)
31.6%
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 x 1))) x)
3.5%
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
38.8%
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
3.8%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
54.9%
(copysign.f64 (log1p.f64 x) x)
57.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
35.4%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Compiler

Compiled 460 to 318 computations (30.9% saved)

localize349.0ms (6.1%)

Local Accuracy

Found 7 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 1/4 (*.f64 x x))
99.9%
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
100.0%
(pow.f64 x 3)
100.0%
(*.f64 -1/6 (pow.f64 x 3))
78.2%
(+.f64 (+.f64 (log1p.f64 x) -1) 1)
100.0%
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
100.0%
(/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x))))
Compiler

Compiled 205 to 126 computations (38.5% saved)

series51.0ms (0.9%)

Counts
7 → 56
Calls

21 calls:

TimeVariablePointExpression
22.0ms
x
@0
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
10.0ms
x
@-inf
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
8.0ms
x
@0
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
6.0ms
x
@inf
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
1.0ms
x
@-inf
(pow.f64 x 3)

rewrite71.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
622×add-sqr-sqrt
602×pow1
594×*-un-lft-identity
590×add-exp-log
590×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029109
164993
Stop Event
node limit
Counts
7 → 186
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x))))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
(+.f64 (+.f64 (log1p.f64 x) -1) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(/.f64 1/4 (*.f64 x x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)))) 1)
(*.f64 x (/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)))
(*.f64 x (*.f64 x (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (*.f64 x x) (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2)))
(*.f64 1 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))) 2) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (/.f64 x 1) (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) 1/2 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) 2)) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(pow.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) 2)
(pow.f64 (*.f64 (fma.f64 (*.f64 x x) 1/2 2) (pow.f64 x -2)) -1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (*.f64 x x) 1/2 2) 2)))
(log.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (*.f64 x x) 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 0 (/.f64 1/2 x))))) 1)
(*.f64 1 (log.f64 (+.f64 0 (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))))
(pow.f64 (log.f64 (+.f64 0 (/.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 0 (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 0 (/.f64 1/2 x))) 2))
(log.f64 (+.f64 0 (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 0 (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) -2)) (/.f64 1 (+.f64 (log1p.f64 x) -2)))
(*.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (-.f64 1 (+.f64 -1 (log1p.f64 x))))))
(*.f64 (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) -2)) (/.f64 1 (+.f64 (log1p.f64 x) -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (-.f64 1 (+.f64 -1 (log1p.f64 x)))) (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 3) 1)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) -2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 3) 1) (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (-.f64 1 (+.f64 -1 (log1p.f64 x)))))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) -2)) (+.f64 (log1p.f64 x) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 3) 1)) (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (-.f64 1 (+.f64 -1 (log1p.f64 x))))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) -2))) (neg.f64 (+.f64 (log1p.f64 x) -2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) 0) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 0 (*.f64 (log1p.f64 x) 0))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (+.f64 -1 (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) 0) (-.f64 (log1p.f64 x) 0))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2)) (-.f64 1 (+.f64 -1 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(fma.f64 1 (log1p.f64 x) 0)
(fma.f64 1 (+.f64 -1 (log1p.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log1p.f64 x))) 2) (cbrt.f64 (+.f64 -1 (log1p.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) 0)
(fma.f64 (sqrt.f64 (+.f64 -1 (log1p.f64 x))) (sqrt.f64 (+.f64 -1 (log1p.f64 x))) 1)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 1 (pow.f64 x 3))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(*.f64 (*.f64 x 1) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) 1) x)
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (log.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 -1) (-.f64 (log.f64 x) (log.f64 1/2)))
(-.f64 0 (log.f64 (*.f64 x -2)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (log.f64 (/.f64 (/.f64 -1 x) 1/2))) (/.f64 (pow.f64 (log.f64 1/2) 2) (log.f64 (/.f64 (/.f64 -1 x) 1/2))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 x))
(*.f64 1 (log.f64 (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))))
(*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2)) (/.f64 1 (log.f64 (/.f64 (/.f64 -1 x) 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 -1 x) 1/2)) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2)) (log.f64 (/.f64 (/.f64 -1 x) 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2))) (neg.f64 (log.f64 (/.f64 (/.f64 -1 x) 1/2))))
(/.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 (/.f64 -1 x)) 3)) (+.f64 (pow.f64 (log.f64 1/2) 2) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) 2)
(neg.f64 (log.f64 (*.f64 x -2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 2))
(log.f64 (/.f64 1/2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 1/2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 1/2 x))) 1))
(log1p.f64 (-.f64 (/.f64 1/2 x) 1))
(fma.f64 1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (cbrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (pow.f64 x -2))) 1)
(*.f64 -1/2 (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(*.f64 1 (*.f64 1/4 (pow.f64 x -2)))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(*.f64 -1/4 (/.f64 1 (neg.f64 (*.f64 x x))))
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(*.f64 (*.f64 (/.f64 1/2 x) 1) (/.f64 1/2 x))
(*.f64 (*.f64 (/.f64 1/2 x) -1/2) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)))
(pow.f64 (/.f64 1/2 x) 2)
(pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 x x) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))

simplify95.0ms (1.7%)

Algorithm
egg-herbie
Rules
708×log-prod
698×fma-neg
658×cancel-sign-sub-inv
514×div-sub
424×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04895310
112095092
240975086
Stop Event
node limit
Counts
242 → 282
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 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 8)) (+.f64 (*.f64 1/32 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)))) 1)
(*.f64 x (/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)))
(*.f64 x (*.f64 x (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (*.f64 x x) (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2)))
(*.f64 1 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))) 2) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (/.f64 x 1) (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) 1/2 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) 2)) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(pow.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) 2)
(pow.f64 (*.f64 (fma.f64 (*.f64 x x) 1/2 2) (pow.f64 x -2)) -1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (*.f64 x x) 1/2 2) 2)))
(log.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (*.f64 x x) 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/2 2) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 0 (/.f64 1/2 x))))) 1)
(*.f64 1 (log.f64 (+.f64 0 (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))))
(pow.f64 (log.f64 (+.f64 0 (/.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 0 (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 0 (/.f64 1/2 x))) 2))
(log.f64 (+.f64 0 (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 0 (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 0 (/.f64 1/2 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) -2)) (/.f64 1 (+.f64 (log1p.f64 x) -2)))
(*.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (-.f64 1 (+.f64 -1 (log1p.f64 x))))))
(*.f64 (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) -2)) (/.f64 1 (+.f64 (log1p.f64 x) -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (-.f64 1 (+.f64 -1 (log1p.f64 x)))) (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 3) 1)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) -2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 3) 1) (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (-.f64 1 (+.f64 -1 (log1p.f64 x)))))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) -2)) (+.f64 (log1p.f64 x) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 3) 1)) (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (-.f64 1 (+.f64 -1 (log1p.f64 x))))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) -2))) (neg.f64 (+.f64 (log1p.f64 x) -2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) 0) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 0 (*.f64 (log1p.f64 x) 0))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2) (+.f64 -1 (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) 0) (-.f64 (log1p.f64 x) 0))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 x)) 2)) (-.f64 1 (+.f64 -1 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(fma.f64 1 (log1p.f64 x) 0)
(fma.f64 1 (+.f64 -1 (log1p.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log1p.f64 x))) 2) (cbrt.f64 (+.f64 -1 (log1p.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) 0)
(fma.f64 (sqrt.f64 (+.f64 -1 (log1p.f64 x))) (sqrt.f64 (+.f64 -1 (log1p.f64 x))) 1)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 1 (pow.f64 x 3))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(*.f64 (*.f64 x 1) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) 1) x)
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (log.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 -1) (-.f64 (log.f64 x) (log.f64 1/2)))
(-.f64 0 (log.f64 (*.f64 x -2)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (log.f64 (/.f64 (/.f64 -1 x) 1/2))) (/.f64 (pow.f64 (log.f64 1/2) 2) (log.f64 (/.f64 (/.f64 -1 x) 1/2))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 x))
(*.f64 1 (log.f64 (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))))
(*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2)) (/.f64 1 (log.f64 (/.f64 (/.f64 -1 x) 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 -1 x) 1/2)) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2)) (log.f64 (/.f64 (/.f64 -1 x) 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2))) (neg.f64 (log.f64 (/.f64 (/.f64 -1 x) 1/2))))
(/.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 (/.f64 -1 x)) 3)) (+.f64 (pow.f64 (log.f64 1/2) 2) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) 2)
(neg.f64 (log.f64 (*.f64 x -2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 2))
(log.f64 (/.f64 1/2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 1/2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 1/2 x))) 1))
(log1p.f64 (-.f64 (/.f64 1/2 x) 1))
(fma.f64 1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (cbrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (pow.f64 x -2))) 1)
(*.f64 -1/2 (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(*.f64 1 (*.f64 1/4 (pow.f64 x -2)))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(*.f64 -1/4 (/.f64 1 (neg.f64 (*.f64 x x))))
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(*.f64 (*.f64 (/.f64 1/2 x) 1) (/.f64 1/2 x))
(*.f64 (*.f64 (/.f64 1/2 x) -1/2) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)))
(pow.f64 (/.f64 1/2 x) 2)
(pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 x x) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))
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 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/32 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 8)) (+.f64 (*.f64 1/32 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/128 (pow.f64 x 8) (fma.f64 1/32 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/128 (pow.f64 x 8) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/32 (pow.f64 x 6)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 2 (/.f64 8 (*.f64 x x)))
(+.f64 2 (*.f64 (pow.f64 x -2) -8))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 32 (pow.f64 x 4)) (-.f64 2 (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 2 (*.f64 (pow.f64 x -2) -8)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 6)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 4)) (fma.f64 8 (pow.f64 x -2) (/.f64 128 (pow.f64 x 6)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 2 (/.f64 8 (*.f64 x x)))
(+.f64 2 (*.f64 (pow.f64 x -2) -8))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 32 (pow.f64 x 4)) (-.f64 2 (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 2 (*.f64 (pow.f64 x -2) -8)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) 1) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -2 x))) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2))) (neg.f64 (log.f64 (/.f64 (/.f64 -1 x) 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2)) (log.f64 (/.f64 (/.f64 -1 x) 1/2)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2)) (log.f64 (/.f64 -2 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 (/.f64 -1 x)) 3)) (+.f64 (pow.f64 (log.f64 1/2) 2) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (pow.f64 (log.f64 1/2) 2) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2)) (log.f64 (/.f64 (/.f64 -1 x) 1/2)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2)) (log.f64 (/.f64 -2 x)))
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
(log.f64 (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 3)
(log.f64 (/.f64 1/2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) 1/3)
(log.f64 (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) 2)
(log.f64 (/.f64 1/2 x))
(neg.f64 (log.f64 (*.f64 x -2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 2))
(log.f64 (/.f64 1/2 x))
(log.f64 (/.f64 1/2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 1/2 x) 1)))
(log.f64 (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3))
(log.f64 (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 1/2 x))))
(log.f64 (/.f64 1/2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 1/2 x))))
(log.f64 (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 1/2 x))) 1))
(log.f64 (/.f64 1/2 x))
(log1p.f64 (-.f64 (/.f64 1/2 x) 1))
(log.f64 (/.f64 1/2 x))
(fma.f64 1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1/2 x)))
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1/2 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (cbrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1/2 x)))
(-.f64 (+.f64 1 (*.f64 1/4 (pow.f64 x -2))) 1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 -1/2 (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(*.f64 -1/2 (/.f64 (/.f64 1/2 x) x))
(/.f64 (/.f64 -1/4 x) x)
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 1 (*.f64 1/4 (pow.f64 x -2)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 -1/4 (/.f64 1 (neg.f64 (*.f64 x x))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (*.f64 (/.f64 1/2 x) 1) (/.f64 1/2 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (*.f64 (/.f64 1/2 x) -1/2) (/.f64 1 x))
(*.f64 -1/2 (/.f64 (/.f64 1/2 x) x))
(/.f64 (/.f64 -1/4 x) x)
(*.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 x -2)) 3) 1/3)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) 4) -1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 x -2)) 3))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))) 1))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))

eval93.0ms (1.6%)

Compiler

Compiled 4820 to 3328 computations (31% saved)

prune54.0ms (0.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New2784282
Fresh303
Picked325
Done246
Total28610296
Accurracy
100.0%
Counts
296 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.2%
(copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x)
48.1%
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x)
8.7%
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
51.5%
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x)))))) x)
3.5%
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
3.8%
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
54.9%
(copysign.f64 (log1p.f64 x) x)
31.7%
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
57.6%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
48.8%
(copysign.f64 x x)
Compiler

Compiled 443 to 281 computations (36.6% saved)

regimes47.0ms (0.8%)

Counts
30 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 x 1))) x)
(copysign.f64 (+.f64 (+.f64 (log1p.f64 x) -1) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
(copysign.f64 (fma.f64 -1/2 (*.f64 x x) x) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log1p.f64 (+.f64 x (*.f64 1/2 (*.f64 x x)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x)))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) 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 (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x))) x)
(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x)))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
Calls

2 calls:

25.0ms
x
14.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
AccuracySegmentsBranch
99.5%2x
99.5%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 359 to 225 computations (37.3% saved)

regimes37.0ms (0.6%)

Counts
26 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 x 1))) x)
(copysign.f64 (+.f64 (+.f64 (log1p.f64 x) -1) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
(copysign.f64 (fma.f64 -1/2 (*.f64 x x) x) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log1p.f64 (+.f64 x (*.f64 1/2 (*.f64 x x)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x)))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) 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 (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))) x)
Outputs
(copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
Calls

1 calls:

31.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 239 to 143 computations (40.2% saved)

regimes34.0ms (0.6%)

Counts
21 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 x 1))) x)
(copysign.f64 (+.f64 (+.f64 (log1p.f64 x) -1) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
(copysign.f64 (fma.f64 -1/2 (*.f64 x x) x) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log1p.f64 (+.f64 x (*.f64 1/2 (*.f64 x x)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x)))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) x)
Outputs
(copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
Calls

1 calls:

29.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 175 to 105 computations (40% saved)

regimes28.0ms (0.5%)

Counts
16 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 x 1))) x)
(copysign.f64 (+.f64 (+.f64 (log1p.f64 x) -1) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
(copysign.f64 (fma.f64 -1/2 (*.f64 x x) x) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log1p.f64 (+.f64 x (*.f64 1/2 (*.f64 x x)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x)
Outputs
(copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
Calls

1 calls:

25.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
Compiler

Compiled 130 to 78 computations (40% saved)

regimes25.0ms (0.4%)

Counts
15 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 x 1))) x)
(copysign.f64 (+.f64 (+.f64 (log1p.f64 x) -1) 1) x)
(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
(copysign.f64 (fma.f64 -1/2 (*.f64 x x) x) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log1p.f64 (+.f64 x (*.f64 1/2 (*.f64 x x)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
83.9%3x
Compiler

Compiled 117 to 70 computations (40.2% saved)

regimes9.0ms (0.2%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
77.6%2x
Compiler

Compiled 39 to 22 computations (43.6% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
56.8%2x
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.5b remaining (-1.6%)

Threshold costs -0.5b (-1.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x)
Outputs
(copysign.f64 x x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
48.8%1x
Compiler

Compiled 17 to 9 computations (47.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.000940137294590831
-1.074911797309469e-7
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-3136.660798349517
-0.0009401374330821699
Results
18.0ms144×body256valid
Compiler

Compiled 260 to 192 computations (26.2% saved)

bsearch40.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
5.571727117412799e-9
184432834.4443601
20.0ms
-3136.660798349517
-0.0009401374330821699
Results
35.0ms304×body256valid
Compiler

Compiled 574 to 380 computations (33.8% saved)

bsearch40.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
5.571727117412799e-9
184432834.4443601
19.0ms
-3136.660798349517
-0.0009401374330821699
Results
36.0ms304×body256valid
Compiler

Compiled 479 to 323 computations (32.6% saved)

bsearch41.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
5.571727117412799e-9
184432834.4443601
20.0ms
-3136.660798349517
-0.0009401374330821699
Results
37.0ms304×body256valid
Compiler

Compiled 425 to 287 computations (32.5% saved)

bsearch20.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
5.571727117412799e-9
184432834.4443601
Results
18.0ms160×body256valid
Compiler

Compiled 147 to 102 computations (30.6% saved)

bsearch19.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
5.571727117412799e-9
184432834.4443601
Results
18.0ms160×body256valid
Compiler

Compiled 127 to 82 computations (35.4% saved)

simplify27.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
078558
199558
2113558
3129558
4134558
5136558
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) -1152921504606847/2305843009213693952) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -310) (copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -2386907802506363/2251799813685248) (copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x) (if (<=.f64 x 2) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x)))))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -4728779608739021/4503599627370496) (copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -2) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (/.f64 1/2 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) -1152921504606847/2305843009213693952) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 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) -1152921504606847/2305843009213693952) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -310) (copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -310) (copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -2386907802506363/2251799813685248) (copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x) (if (<=.f64 x 2) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x)))))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -2386907802506363/2251799813685248) (copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x) (if (<=.f64 x 2) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) 1/2))))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -4728779608739021/4503599627370496) (copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -4728779608739021/4503599627370496) (copysign.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x -2))) (/.f64 1/4 (*.f64 x x))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -2) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -2) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (*.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 209 to 137 computations (34.4% saved)

soundness1.9s (33.6%)

Rules
1880×pow1
1880×pow1
1734×add-exp-log
1734×add-exp-log
1732×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
11827
21927
0921
117917
2231417
01321292
13291196
210161062
34831992
04495244
111434928
241874698
029109
164993
04895310
112095092
240975086
0921
117917
2231417
01321292
13291196
210161062
34831992
01022
120918
2269418
01611321
13761167
211801113
346131113
04495244
111434928
241874698
01611321
13761167
211801113
346131113
021101
149089
2739789
04495244
111434928
241874698
029109
164993
04895310
112095092
240975086
01022
120918
2269418
021101
149089
2739789
01321292
13291196
210161062
34831992
01321292
13291196
210161062
34831992
029109
164993
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
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 2007 to 1433 computations (28.6% saved)

end0.0ms (0%)

preprocess127.0ms (2.2%)

Compiler

Compiled 472 to 290 computations (38.6% saved)

Profiling

Loading profile data...