Hyperbolic arc-(co)tangent

Time bar (total: 5.4s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.9s (53.3%)

Results
1.8s4122×body1024valid
514.0ms2075×body512valid
381.0ms1655×body256valid
240.0ms404×body2048valid
0.0ms2×body256invalid
Bogosity

preprocess407.0ms (7.5%)

Algorithm
1×egg-herbie
Rules
476×distribute-lft-in
473×fma-neg
434×fma-def
368×*-commutative
330×+-commutative
Problems
255×(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022144
150124
284124
3164124
4361124
5857124
62155124
73508124
85574124
96228124
106455124
117292124
127452124
137566124
147882124
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Symmetry

(negabs x)

Compiler

Compiled 54 to 43 computations (20.4% saved)

eval1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

prune5.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶8.8%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶8.8%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 40 to 32 computations (20% saved)

localize213.0ms (3.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
✓8.8%
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 59 to 34 computations (42.4% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms
x
@0
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms
x
@inf
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms
x
@inf
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
0.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite232.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
738×associate-*r/
541×associate-*l/
479×associate-/r*
302×*-commutative
295×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
121767
2275767
Stop Event
1×node limit
Counts
3 → 371
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
Outputs
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))))
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))))
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (neg.f64 (log1p.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))))
(+.f64 (neg.f64 (log1p.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))))
(+.f64 (neg.f64 (log1p.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (log1p.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log1p.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (log1p.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log1p.f64 x)))
(+.f64 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (+.f64 (neg.f64 (log1p.f64 x)) 0) (log1p.f64 x))
(+.f64 (+.f64 (neg.f64 (log1p.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 (neg.f64 (log1p.f64 x)) (log.f64 (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (-.f64 (log1p.f64 x) (exp.f64 (log1p.f64 (log1p.f64 x)))) 1)
(+.f64 (-.f64 0 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x)))) (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x))))
(+.f64 (-.f64 0 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(+.f64 (-.f64 0 (log.f64 (+.f64 x -1))) (log.f64 (+.f64 x -1)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))) 1)
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) (*.f64 1 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))))
(-.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))))
(-.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))))
(-.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(-.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(-.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x))) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x))) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x))) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (+.f64 (neg.f64 (log1p.f64 x)) 0) (log1p.f64 x))
(+.f64 (+.f64 (neg.f64 (log1p.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 (neg.f64 (log1p.f64 x)) (log.f64 (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (-.f64 (log1p.f64 x) (exp.f64 (log1p.f64 (log1p.f64 x)))) 1)
(+.f64 (-.f64 0 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x)))) (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (log1p.f64 x))))
(+.f64 (-.f64 0 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(+.f64 (-.f64 0 (log.f64 (+.f64 x -1))) (log.f64 (+.f64 x -1)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))) 1)
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) (*.f64 1 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (*.f64 2 (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (*.f64 2 (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (*.f64 2 (sqrt.f64 (log1p.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 2 (log1p.f64 x))) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 2 (pow.f64 (log1p.f64 x) 3))) (-.f64 (*.f64 2 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (log1p.f64 x) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 2 (pow.f64 (log1p.f64 x) 2)) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 2 (pow.f64 (log1p.f64 x) 2)) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 2 (pow.f64 (log1p.f64 x) 2)) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))))
(/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 2 (log1p.f64 x)))
(/.f64 (*.f64 2 (log1p.f64 x)) (/.f64 (*.f64 2 (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (*.f64 2 (log1p.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (*.f64 (*.f64 2 (log1p.f64 x)) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (*.f64 2 (pow.f64 (log1p.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log1p.f64 x) 2) 3)) (*.f64 (*.f64 2 (log1p.f64 x)) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log1p.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 2 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (/.f64 (*.f64 2 (log1p.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (/.f64 (*.f64 2 (log1p.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))))) (*.f64 2 (log1p.f64 x)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3))) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (neg.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (sqrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) 1) (*.f64 2 (log1p.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) 1) (neg.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (/.f64 1 (*.f64 2 (log1p.f64 x)))) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log1p.f64 x) 2) 3)) (/.f64 1 (*.f64 2 (log1p.f64 x)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (*.f64 2 (pow.f64 (log1p.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log1p.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 2 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) 1) (*.f64 2 (log1p.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (*.f64 2 (log1p.f64 x)))) (sqrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (*.f64 2 (log1p.f64 x))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))

simplify77.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
115×+-commutative
93×*-commutative
90×sub-neg
45×associate-*l/
36×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06085188
124635188
Stop Event
1×unsound
Counts
407 → 317
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
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(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (*.f64 2 (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (*.f64 2 (sqrt.f64 (log1p.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 2 (log1p.f64 x))) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 2 (pow.f64 (log1p.f64 x) 3))) (-.f64 (*.f64 2 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (log1p.f64 x) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 2 (pow.f64 (log1p.f64 x) 2)) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 2 (pow.f64 (log1p.f64 x) 2)) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 2 (pow.f64 (log1p.f64 x) 2)) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))))
(/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 2 (log1p.f64 x)))
(/.f64 (*.f64 2 (log1p.f64 x)) (/.f64 (*.f64 2 (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (*.f64 2 (log1p.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (*.f64 (*.f64 2 (log1p.f64 x)) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (*.f64 2 (pow.f64 (log1p.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log1p.f64 x) 2) 3)) (*.f64 (*.f64 2 (log1p.f64 x)) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log1p.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 2 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (/.f64 (*.f64 2 (log1p.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (/.f64 (*.f64 2 (log1p.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))))) (*.f64 2 (log1p.f64 x)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3))) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (neg.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (sqrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) 1) (*.f64 2 (log1p.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) 1) (neg.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (/.f64 1 (*.f64 2 (log1p.f64 x)))) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log1p.f64 x) 2) 3)) (/.f64 1 (*.f64 2 (log1p.f64 x)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (*.f64 2 (pow.f64 (log1p.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log1p.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 2 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) 1) (*.f64 2 (log1p.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (*.f64 2 (log1p.f64 x)))) (sqrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (*.f64 2 (log1p.f64 x))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
Outputs
(*.f64 2 x)
(*.f64 x -2)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 2/3 (pow.f64 x -2) (*.f64 x -2))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x -2) (*.f64 x -2)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x -2) (*.f64 x -2))))
(log.f64 -1)
-2
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -2 x) -2)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 2/3 (pow.f64 x -2))) -2)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 2/3 (pow.f64 x -2))) (/.f64 2/5 (pow.f64 x 5))) -2)
(log.f64 -1)
-2
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -2 x) -2)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 2/3 (pow.f64 x -2))) -2)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 2/3 (pow.f64 x -2))) (/.f64 2/5 (pow.f64 x 5))) -2)
1
-2
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 x -2) -2)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 -2 (+.f64 x (pow.f64 x -2))) -2)
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -2)))) -2)
-1
-2
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 -2 x) -2))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 -2 x) -2) (/.f64 -2 (pow.f64 x -2))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x -2)) (/.f64 -2 (pow.f64 x -2))))))
-1
-2
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 -2 x) -2))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 -2 x) -2) (/.f64 -2 (pow.f64 x -2))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
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-2
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
-2
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))
-2
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
-2
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) 1) (*.f64 2 (log1p.f64 x)))
-2
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))
-2
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) 1) (neg.f64 (*.f64 2 (log1p.f64 x))))
-2
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
-2
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (/.f64 1 (*.f64 2 (log1p.f64 x)))) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))
-2
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log1p.f64 x) 2) 3)) (/.f64 1 (*.f64 2 (log1p.f64 x)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
-2
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (*.f64 2 (pow.f64 (log1p.f64 x) 3)))
-2
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log1p.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 2 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))))
-2
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (*.f64 2 (log1p.f64 x))))
-2
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
-2
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))
-2
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
-2
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) 1) (*.f64 2 (log1p.f64 x)))
-2
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (*.f64 2 (log1p.f64 x)))) (sqrt.f64 (*.f64 2 (log1p.f64 x))))
-2
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (*.f64 2 (log1p.f64 x))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))) (cbrt.f64 (*.f64 2 (log1p.f64 x))))
-2
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))
-2
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
-2
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 2 (pow.f64 (log1p.f64 x) 2)))))
-2
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
-2
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
-2
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
-2
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
-2
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
-2
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
-2
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
-2
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
-2
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
-2
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
-2
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
-2
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
-2
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
-2
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
-2
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
-2

eval156.0ms (2.9%)

Compiler

Compiled 6463 to 4203 computations (35% saved)

prune60.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3143317
Fresh000
Picked022
Done000
Total3145319
Accuracy
100.0%
Counts
319 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶99.4%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶98.8%
(*.f64 1/2 (*.f64 2 x))
✓8.8%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶2.2%
(*.f64 1/2 -2)
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶99.4%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶98.8%
(*.f64 1/2 (*.f64 2 x))
✓8.8%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶2.2%
(*.f64 1/2 -2)
Compiler

Compiled 84 to 70 computations (16.7% saved)

localize195.0ms (3.6%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.7%
(*.f64 2/3 (pow.f64 x 3))
Compiler

Compiled 54 to 43 computations (20.4% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 2/3 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 2/3 (pow.f64 x 3))

rewrite61.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
686×associate-*r*
500×associate-*l*
218×pow1
206×add-exp-log
200×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
17516
274116
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
Outputs
(+.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) -1)
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) 1)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) 1) (+.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) (+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1))))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2) 2)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) 8/27) 1/3)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(fabs.f64 (*.f64 2/3 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 8/27)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))

simplify50.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
537×distribute-lft-out
432×distribute-rgt-out
430×associate-/r*
336×cancel-sign-sub-inv
322×associate--l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089679
1213634
2612621
32855619
Stop Event
1×node limit
Counts
25 → 36
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) -1)
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) 1)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) 1) (+.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) (+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1))))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2) 2)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) 8/27) 1/3)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(fabs.f64 (*.f64 2/3 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 8/27)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
Outputs
(+.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) -1)
(*.f64 2/3 (pow.f64 x 3))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) 1)
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) 1) (+.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) 1))
(/.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2) (*.f64 2/3 (pow.f64 x 3))) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2))
(/.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (/.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (fma.f64 2/3 (pow.f64 x 3) 2)) (*.f64 2/3 (pow.f64 x 3)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 3) 4/3)) (fma.f64 2/3 (pow.f64 x 3) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) (+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (fma.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (fma.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 2))))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2) 2)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(pow.f64 (*.f64 (pow.f64 x 9) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(fabs.f64 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2)) 2))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 8/27)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))

eval15.0ms (0.3%)

Compiler

Compiled 694 to 591 computations (14.8% saved)

prune7.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New36036
Fresh000
Picked033
Done022
Total36541
Accuracy
100.0%
Counts
41 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓99.4%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓98.8%
(*.f64 1/2 (*.f64 2 x))
✓8.8%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓2.2%
(*.f64 1/2 -2)
Compiler

Compiled 92 to 76 computations (17.4% saved)

regimes30.0ms (0.5%)

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

4 calls:

22.0ms
x
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
100.0%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
100.0%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 82 to 66 computations (19.5% saved)

regimes12.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 1/2 -2)
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
Calls

4 calls:

4.0ms
x
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
99.4%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.4%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 74 to 60 computations (18.9% saved)

regimes8.0ms (0.2%)

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

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
98.8%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 -2)
Outputs
(*.f64 1/2 -2)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
2.2%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify42.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
7×*-commutative
4×+-commutative
3×sub-neg
2×neg-mul-1
2×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02485
13585
24085
34385
44485
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 -2)
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x 2))
(*.f64 1/2 -2)
-1
Compiler

Compiled 29 to 24 computations (17.2% saved)

soundness889.0ms (16.3%)

Rules
476×distribute-lft-in
476×distribute-lft-in
473×fma-neg
473×fma-neg
434×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022144
150124
284124
3164124
4361124
5857124
62155124
73508124
85574124
96228124
106455124
117292124
127452124
137566124
147882124
022144
150124
284124
3164124
4361124
5857124
62155124
73508124
85574124
96228124
106455124
117292124
127452124
137566124
147882124
06085188
124635188
Stop Event
1×unsound
1×node limit
1×node limit
Compiler

Compiled 245 to 196 computations (20% saved)

end0.0ms (0%)

preprocess72.0ms (1.3%)

Remove

(negabs x)

Compiler

Compiled 96 to 78 computations (18.8% saved)

Profiling

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