Hyperbolic arc-(co)tangent

Time bar (total: 6.0s)

analyze5.0ms (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)

sample3.1s (51.1%)

Results
1.8s4140×body1024valid
755.0ms2100×body512valid
241.0ms401×body2048valid
225.0ms1615×body256valid
1.0ms8×body256invalid
Bogosity

preprocess537.0ms (8.9%)

Algorithm
1×egg-herbie
Rules
1946×fma-def
1402×fma-neg
1248×associate-+r+
784×distribute-lft-in
712×unsub-neg
Problems
255×(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022144
148124
282124
3165124
4388124
5912124
62237124
73414124
84978124
95859124
106144124
116380124
126519124
136633124
146920124
157100124
167186124
177499124
187619124
197647124
207667124
217675124
227675124
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 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1/2)
(*.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 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1/2)
(*.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))))
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1/2)
Symmetry

(negabs x)

Compiler

Compiled 54 to 43 computations (20.4% saved)

eval1.0ms (0%)

Compiler

Compiled 27 to 18 computations (33.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1/2)
▶7.7%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶100.0%
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1/2)
▶7.7%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 40 to 32 computations (20% saved)

localize256.0ms (4.3%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
✓7.7%
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 59 to 37 computations (37.3% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
1.0ms
x
@0
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.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 (neg.f64 x)) (log1p.f64 x))

rewrite143.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
1254×prod-diff
683×log1p-expm1-u
681×expm1-log1p-u
634×fma-def
628×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
121467
2319967
Stop Event
1×node limit
Counts
3 → 251
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Outputs
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (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 (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 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.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))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(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)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.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)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.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)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.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)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 -1 (log1p.f64 x) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
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(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.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)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 -1 (log1p.f64 x) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (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))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))

simplify110.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1554×fma-def
1162×times-frac
676×associate-*r*
664×associate-*l*
588×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03802370
19942268
220382193
377182193
Stop Event
1×node limit
Counts
287 → 265
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)))
(+.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))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.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)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.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)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (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)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (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 x)
(+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (*.f64 -2/5 (pow.f64 x 5))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/5 (pow.f64 x 5)) (*.f64 -2/7 (pow.f64 x 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.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 -1 (log.f64 -1))
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (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 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (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 (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 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.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))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(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)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.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)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.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)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
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(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.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)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.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)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 -1 (log1p.f64 x) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (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))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.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)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2 x)))
(+.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 3) (*.f64 2 x))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2 x))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2 x))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x (fma.f64 x (+.f64 x 1) 1)) 1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.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 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 1 (/.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.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 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 1 (/.f64 2 (pow.f64 x 3)))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 (pow.f64 x 3) -2/3))
(fma.f64 x -2 (*.f64 (pow.f64 x 3) -2/3))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (*.f64 -2/5 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 -2/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -2/5)))
(fma.f64 x -2 (fma.f64 (pow.f64 x 3) -2/3 (*.f64 (pow.f64 x 5) -2/5)))
(fma.f64 (pow.f64 x 3) -2/3 (fma.f64 (pow.f64 x 5) -2/5 (*.f64 x -2)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/5 (pow.f64 x 5)) (*.f64 -2/7 (pow.f64 x 7)))))
(fma.f64 -2 x (fma.f64 -2/3 (pow.f64 x 3) (fma.f64 -2/5 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -2/7))))
(fma.f64 x -2 (fma.f64 (pow.f64 x 3) -2/3 (fma.f64 (pow.f64 x 5) -2/5 (*.f64 (pow.f64 x 7) -2/7))))
(fma.f64 x -2 (fma.f64 (pow.f64 x 5) -2/5 (fma.f64 (pow.f64 x 3) -2/3 (*.f64 (pow.f64 x 7) -2/7))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (/.f64 -2 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))))
(-.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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 -2/3 (pow.f64 x 3)) (/.f64 -2/5 (pow.f64 x 5))) (+.f64 (log.f64 -1) (/.f64 -2 x)))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 -1)) (/.f64 2 x))
(fma.f64 -1 (log.f64 -1) (/.f64 -2 x))
(-.f64 (/.f64 -2 x) (log.f64 -1))
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (-.f64 (neg.f64 (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2 x))
(-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -2 x) (log.f64 -1)) (/.f64 -2/3 (pow.f64 x 3)))
(-.f64 (*.f64 -1 (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 (neg.f64 (log.f64 -1)) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 x)) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (+.f64 (-.f64 (/.f64 -2 x) (log.f64 -1)) (/.f64 -2/3 (pow.f64 x 3))) (/.f64 -2/5 (pow.f64 x 5)))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
0
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
0
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
0
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(+.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)))
0
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
0
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
0
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
0
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
0
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
0
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
0
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
0
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
0
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
0
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
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(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))
0

eval97.0ms (1.6%)

Compiler

Compiled 4219 to 2872 computations (31.9% saved)

prune42.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2623265
Fresh000
Picked112
Done000
Total2634267
Accuracy
100.0%
Counts
267 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))) -1/2)
▶99.4%
(*.f64 (*.f64 x -2) -1/2)
✓7.7%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶5.6%
(*.f64 1/2 0)
▶99.7%
(*.f64 (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))) -1/2)
▶99.4%
(*.f64 (*.f64 x -2) -1/2)
✓7.7%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶5.6%
(*.f64 1/2 0)
Compiler

Compiled 66 to 56 computations (15.2% saved)

localize64.0ms (1.1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.8%
(*.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))

rewrite45.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1014×associate-*r*
870×associate-*l*
466×unpow-prod-down
306×log-prod
282×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
17416
273316
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 x 3))
Outputs
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) -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 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 x 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 1))
(pow.f64 (*.f64 -2/3 (pow.f64 x 3)) 1)
(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 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -2/3)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -2/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.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 (*.f64 x (cbrt.f64 -2/3))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) -8/27)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -2/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 x 3))))

simplify55.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1592×times-frac
1082×distribute-lft-out
858×fma-neg
824×distribute-rgt-out
560×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090868
1220613
2621596
33073594
Stop Event
1×node limit
Counts
25 → 34
Calls
Call 1
Inputs
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) -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 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 x 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 1))
(pow.f64 (*.f64 -2/3 (pow.f64 x 3)) 1)
(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 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -2/3)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -2/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.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 (*.f64 x (cbrt.f64 -2/3))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) -8/27)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -2/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 x 3))))
Outputs
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) -1)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(+.f64 0 (*.f64 -2/3 (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.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 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 1)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 x 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 3) -1) (fma.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) (+.f64 1 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))))))
(/.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) (+.f64 (*.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))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -2/3 (pow.f64 x 3) 1) 3)) (+.f64 (fma.f64 -2/3 (pow.f64 x 3) 1) (+.f64 2 (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 -2/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3))) 1))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(pow.f64 (*.f64 -2/3 (pow.f64 x 3)) 1)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -2/3)) 3)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 9) -8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 9) -8/27))
(cbrt.f64 (*.f64 -8/27 (pow.f64 x 9)))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -2/3)) 2)
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 -2/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.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))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(fabs.f64 (*.f64 -2/3 (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 x 9) -8/27))
(cbrt.f64 (*.f64 -8/27 (pow.f64 x 9)))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -2/3)))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -2/3))) 3))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.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))
(cbrt.f64 (*.f64 -8/27 (pow.f64 x 9)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -2/3))) 2))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 3)) -1))
(*.f64 -2/3 (pow.f64 x 3))

eval16.0ms (0.3%)

Compiler

Compiled 649 to 556 computations (14.3% saved)

prune7.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New34034
Fresh000
Picked033
Done011
Total34438
Accuracy
100.0%
Counts
38 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(*.f64 (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))) -1/2)
✓99.4%
(*.f64 (*.f64 x -2) -1/2)
✓7.7%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓5.6%
(*.f64 1/2 0)
Compiler

Compiled 83 to 69 computations (16.9% saved)

regimes14.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 (*.f64 x -2) -1/2)
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))) -1/2)
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1/2)
Outputs
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1/2)
Calls

4 calls:

4.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
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))
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 0)
(*.f64 (*.f64 x -2) -1/2)
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))) -1/2)
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))) -1/2)
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
99.7%1x
99.7%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
99.7%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.7%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 74 to 60 computations (18.9% saved)

regimes9.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 (*.f64 x -2) -1/2)
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 (*.f64 x -2) -1/2)
Calls

3 calls:

4.0ms
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(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.4%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 0)
Outputs
(*.f64 1/2 0)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
5.6%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×*-commutative
8×+-commutative
6×sub-neg
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02585
13685
24185
34485
44585
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1/2)
(*.f64 (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))) -1/2)
(*.f64 (*.f64 x -2) -1/2)
(*.f64 1/2 0)
Outputs
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1/2)
(*.f64 (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))) -1/2)
(*.f64 -1/2 (+.f64 (*.f64 x -2) (*.f64 -2/3 (pow.f64 x 3))))
(*.f64 (*.f64 x -2) -1/2)
(*.f64 -1/2 (*.f64 x -2))
(*.f64 1/2 0)
0
Compiler

Compiled 29 to 24 computations (17.2% saved)

soundness1.5s (24.4%)

Rules
1946×fma-def
1946×fma-def
1554×fma-def
1554×fma-def
1402×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022144
148124
282124
3165124
4388124
5912124
62237124
73414124
84978124
95859124
106144124
116380124
126519124
136633124
146920124
157100124
167186124
177499124
187619124
197647124
207667124
217675124
227675124
022144
148124
282124
3165124
4388124
5912124
62237124
73414124
84978124
95859124
106144124
116380124
126519124
136633124
146920124
157100124
167186124
177499124
187619124
197647124
207667124
217675124
227675124
01575
121467
2319967
03802370
19942268
220382193
377182193
03802370
19942268
220382193
377182193
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 412 to 299 computations (27.4% saved)

end0.0ms (0%)

preprocess42.0ms (0.7%)

Remove

(negabs x)

Compiler

Compiled 96 to 78 computations (18.8% saved)

Profiling

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