Logistic regression 2

Time bar (total: 11.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

sample3.3s (29.5%)

Results
1.8s2248×body8192exit
1.1s6844×body256valid
159.0ms1007×body256infinite
88.0ms180×body1024valid
64.0ms224×body512valid
1.0ms1×body2048valid
Bogosity

preprocess130.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1536×times-frac
1354×fma-def
800×fma-neg
720×fabs-mul
544×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025113
161109
294101
3211101
4365101
5607101
61137101
72603101
85620101
97751101
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize33.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓98.8%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 20 to 7 computations (65% saved)

series51.0ms (0.5%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
26.0ms
x
@inf
(log1p.f64 (exp.f64 x))
17.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
6.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms
x
@0
(log1p.f64 (exp.f64 x))
0.0ms
x
@inf
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite68.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1934×pow1
1780×add-exp-log
1780×log1p-expm1-u
1780×expm1-log1p-u
196×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
118730
2245830
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Outputs
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))

simplify79.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
700×fma-neg
642×unswap-sqr
638×times-frac
566×log-prod
488×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01542196
13852068
216222060
370392060
Stop Event
1×node limit
Counts
90 → 86
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8))) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 x x) (*.f64 x (-.f64 1/2 y))))
(+.f64 (*.f64 x (*.f64 x 1/8)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (*.f64 x x) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (*.f64 x (*.f64 x 1/8)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval19.0ms (0.2%)

Compiler

Compiled 1240 to 488 computations (60.6% saved)

prune22.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New79786
Fresh000
Picked011
Done000
Total79887
Accuracy
99.7%
Counts
87 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.0%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶92.8%
(-.f64 (log.f64 2) (*.f64 x y))
98.8%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶98.8%
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶79.9%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
▶52.6%
(*.f64 y (neg.f64 x))
87.0%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶92.8%
(-.f64 (log.f64 2) (*.f64 x y))
98.8%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶98.8%
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶79.9%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
▶52.6%
(*.f64 y (neg.f64 x))
Compiler

Compiled 294 to 220 computations (25.2% saved)

localize675.0ms (6.1%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
✓100.0%
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
✓100.0%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓100.0%
(-.f64 (log.f64 2) (*.f64 x y))
✓100.0%
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓100.0%
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
✓99.6%
(log.f64 (log1p.f64 (exp.f64 x)))
98.8%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 116 to 61 computations (47.4% saved)

series54.0ms (0.5%)

Counts
7 → 135
Calls

36 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
(log.f64 (log1p.f64 (exp.f64 x)))
15.0ms
x
@inf
(log.f64 (log1p.f64 (exp.f64 x)))
3.0ms
y
@-inf
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
2.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
1.0ms
y
@0
(-.f64 (log.f64 2) (*.f64 x y))

rewrite148.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
904×expm1-udef
898×log1p-udef
518×add-sqr-sqrt
510×pow1
506×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023135
1505127
27224127
Stop Event
1×node limit
Counts
7 → 213
Calls
Call 1
Inputs
(log.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
Outputs
(+.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(+.f64 0 (log.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (log.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log1p.f64 (exp.f64 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (log.f64 2))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 2)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (*.f64 x y) (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (*.f64 x y) (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/8)) 1) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (pow.f64 (*.f64 x 1/8) 2) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x 1/8) 2) (pow.f64 (-.f64 1/2 y) 2))) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (pow.f64 (*.f64 x 1/8) 2) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x 1/8) 2) (pow.f64 (-.f64 1/2 y) 2)) x) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (-.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (-.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (-.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2)) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (-.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 (-.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (fma.f64 x 1/8 (-.f64 1/2 y)) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))

simplify163.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1496×fma-neg
830×fma-def
780×log-prod
592×associate-*r*
574×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051410132
112849670
252579666
Stop Event
1×node limit
Counts
348 → 309
Calls
Call 1
Inputs
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (log.f64 2))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (*.f64 1/2 (/.f64 x (log.f64 2)))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (*.f64 1/2 (/.f64 x (log.f64 2))))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
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(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/8)) 1) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (pow.f64 (*.f64 x 1/8) 2) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x 1/8) 2) (pow.f64 (-.f64 1/2 y) 2))) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (pow.f64 (*.f64 x 1/8) 2) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x 1/8) 2) (pow.f64 (-.f64 1/2 y) 2)) x) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (-.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (-.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (-.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2)) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (-.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 (-.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (fma.f64 x 1/8 (-.f64 1/2 y)) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))
Outputs
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (log.f64 2))))
(fma.f64 1/2 (/.f64 x (log.f64 2)) (log.f64 (log.f64 2)))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (*.f64 1/2 (/.f64 x (log.f64 2)))))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2)))) (/.f64 x (log.f64 2)))))
(fma.f64 1/2 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 x (log.f64 2))) (log.f64 (log.f64 2)))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (*.f64 1/2 (/.f64 x (log.f64 2))))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 3/8 (pow.f64 (log.f64 2) 2)))) (*.f64 1/2 (+.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2)))) (/.f64 x (log.f64 2))))))
(+.f64 (fma.f64 1/2 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 x (log.f64 2))) (log.f64 (log.f64 2))) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 -3/8 (pow.f64 (log.f64 2) 2))) (*.f64 1/6 (pow.f64 x 3))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(+.f64 (log.f64 2) (fma.f64 x (fma.f64 x 1/8 1/2) (*.f64 -1/192 (pow.f64 x 4))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
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(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))) 1))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (fma.f64 x 1/8 (-.f64 1/2 y)) x (log.f64 2))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (log.f64 2))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))

eval112.0ms (1%)

Compiler

Compiled 5945 to 3731 computations (37.2% saved)

prune54.0ms (0.5%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New3344338
Fresh112
Picked145
Done011
Total33610346
Accuracy
99.7%
Counts
346 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.0%
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓92.8%
(-.f64 (log.f64 2) (*.f64 x y))
▶98.8%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓98.8%
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶51.7%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
✓52.6%
(*.f64 y (neg.f64 x))
▶40.7%
(*.f64 x (-.f64 1/2 y))
▶68.1%
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
▶87.0%
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓92.8%
(-.f64 (log.f64 2) (*.f64 x y))
▶98.8%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓98.8%
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶51.7%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
✓52.6%
(*.f64 y (neg.f64 x))
▶40.7%
(*.f64 x (-.f64 1/2 y))
▶68.1%
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
Compiler

Compiled 292 to 224 computations (23.3% saved)

localize217.0ms (2%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓99.2%
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
✓70.9%
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
✓100.0%
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
✓100.0%
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
✓100.0%
(*.f64 x (-.f64 1/2 y))
✓100.0%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓100.0%
(log1p.f64 (log1p.f64 (exp.f64 x)))
✓99.9%
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
98.8%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 125 to 77 computations (38.4% saved)

series37.0ms (0.3%)

Counts
10 → 180
Calls

48 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(log1p.f64 (log1p.f64 (exp.f64 x)))
13.0ms
x
@-inf
(log1p.f64 (log1p.f64 (exp.f64 x)))
1.0ms
x
@0
(log1p.f64 (log1p.f64 (exp.f64 x)))
1.0ms
y
@0
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
0.0ms
x
@0
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)

rewrite173.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
906×expm1-udef
900×log1p-udef
530×add-sqr-sqrt
518×pow1
512×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027186
1569174
26960174
Stop Event
1×node limit
Counts
10 → 263
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
Outputs
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (log1p.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 2))
(log.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (*.f64 x 1/8)) 1))
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(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))

simplify278.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1328×fma-neg
986×associate-*r*
944×fma-def
940×log-prod
890×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056312453
1151611937
2651811937
Stop Event
1×node limit
Counts
443 → 344
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2))))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(pow.f64 (log.f64 2) 3)
(+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))) (pow.f64 (log.f64 2) 3))
(+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 (log.f64 2) 3)))
(+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)) (pow.f64 (log.f64 2) 3))))
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))
(+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))))
(+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)) (pow.f64 (log.f64 2) 3))))
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -2 (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) (*.f64 -1 (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -2 (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) (*.f64 -1 (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 (log.f64 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)) (pow.f64 (log.f64 2) 3))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3)
(+.f64 (*.f64 y (+.f64 (*.f64 -2 (*.f64 x (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))) (*.f64 -1 (*.f64 x (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))))) (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))
(+.f64 (*.f64 y (+.f64 (*.f64 -2 (*.f64 x (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))) (*.f64 -1 (*.f64 x (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (*.f64 1/2 x))))) (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 y (+.f64 (*.f64 -2 (*.f64 x (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))) (*.f64 -1 (*.f64 x (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (*.f64 1/2 x))))) (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))))
(*.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (*.f64 1/2 x))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 y (+.f64 (*.f64 -2 (*.f64 x (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))) (*.f64 -1 (*.f64 x (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (*.f64 1/2 x)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 y (+.f64 (*.f64 -2 (*.f64 x (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))) (*.f64 -1 (*.f64 x (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (*.f64 1/2 x))))) (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(fma.f64 (fma.f64 x 1/8 1/2) x (log.f64 2))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y))) (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (log.f64 2)))
(+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)) (*.f64 (log.f64 2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)
(*.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) 3) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (fma.f64 x 1/8 1/2))))
(+.f64 (*.f64 -1/192 (pow.f64 x 4)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (log.f64 2)))
(log1p.f64 (log.f64 2))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))
(+.f64 (log1p.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (+.f64 (log.f64 2) 1))))
(fma.f64 1/2 (/.f64 x (+.f64 (log.f64 2) 1)) (log1p.f64 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2))))))
(+.f64 (log1p.f64 (log.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (/.f64 x (+.f64 (log.f64 2) 1)))))
(fma.f64 1/2 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (/.f64 x (+.f64 (log.f64 2) 1))) (log1p.f64 (log.f64 2)))
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(log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 1/3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval1.0s (9.4%)

Compiler

Compiled 7010 to 4788 computations (31.7% saved)

prune257.0ms (2.3%)

Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New3685373
Fresh000
Picked145
Done055
Total36914383
Accuracy
99.7%
Counts
383 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.0%
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶22.8%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
✓98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓92.8%
(-.f64 (log.f64 2) (*.f64 x y))
✓98.8%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓98.8%
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓51.7%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
▶22.8%
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
✓52.6%
(*.f64 y (neg.f64 x))
✓40.7%
(*.f64 x (-.f64 1/2 y))
▶3.8%
(*.f64 1/2 x)
▶56.8%
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))
▶56.6%
(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
✓87.0%
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶22.8%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
✓98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓92.8%
(-.f64 (log.f64 2) (*.f64 x y))
✓98.8%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓98.8%
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓51.7%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
▶22.8%
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
✓52.6%
(*.f64 y (neg.f64 x))
✓40.7%
(*.f64 x (-.f64 1/2 y))
▶3.8%
(*.f64 1/2 x)
▶56.8%
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))
▶56.6%
(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
Compiler

Compiled 390 to 300 computations (23.1% saved)

localize244.0ms (2.2%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓99.6%
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
99.2%
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
✓91.5%
(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
✓87.5%
(log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
✓100.0%
(/.f64 (+.f64 1/2 y) x)
✓86.0%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
✓100.0%
(/.f64 x (+.f64 1/2 y))
✓86.4%
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
✓99.1%
(pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3)
✓93.2%
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))
Compiler

Compiled 161 to 110 computations (31.7% saved)

series20.0ms (0.2%)

Counts
9 → 168
Calls

48 calls:

TimeVariablePointExpression
2.0ms
x
@0
(log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
2.0ms
y
@0
(log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
1.0ms
y
@inf
(log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
1.0ms
x
@inf
(log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
1.0ms
y
@-inf
(log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))

rewrite157.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
904×expm1-udef
532×add-sqr-sqrt
522×pow1
516×*-un-lft-identity
506×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028165
1600157
27401157
Stop Event
1×node limit
Counts
9 → 358
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))
(pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3)
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 (+.f64 1/2 y) x)
(log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
Outputs
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (pow.f64 1 1/3) (fma.f64 1/2 x (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/3) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) 1/3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x)))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(+.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (log.f64 2)) (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 1/2 x)))
(+.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 1/2 x)) (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (log.f64 2)))
(+.f64 (*.f64 (log.f64 2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (*.f64 (*.f64 1/2 x) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(+.f64 (*.f64 (*.f64 1/2 x) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (*.f64 (log.f64 2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))) 1)
(*.f64 (fma.f64 1/2 x (log.f64 2)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1)
(*.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (fma.f64 1/2 x (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 3) (fma.f64 1/2 x (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 3) (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 3))
(*.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1) (fma.f64 1/2 x (log.f64 2)))
(*.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (pow.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) 3) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) 3))
(/.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x)))) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(-.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(/.f64 1 (/.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) 1))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (/.f64 (/.f64 (+.f64 1/2 y) x) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (/.f64 (+.f64 1/2 y) x) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 (neg.f64 y) -1/2) x))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (*.f64 (/.f64 (+.f64 1/2 y) x) (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y))))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (*.f64 (/.f64 (+.f64 1/2 y) x) (+.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (*.f64 1/4 (/.f64 (+.f64 1/2 y) x)) (*.f64 (/.f64 (+.f64 1/2 y) x) (*.f64 y y))) (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))
(/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (*.f64 (+.f64 1/2 y) (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y))))))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (*.f64 (+.f64 1/2 y) (+.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1/64 (pow.f64 y 6))) (*.f64 (+.f64 (neg.f64 y) -1/2) (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y))))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (+.f64 (neg.f64 y) -1/2))
(pow.f64 (/.f64 x (+.f64 1/2 y)) -1)
(pow.f64 (/.f64 (+.f64 1/2 y) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/2 y) x)) 2)
(neg.f64 (/.f64 (+.f64 1/2 y) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 y) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 y) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 y) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 y) x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))) 1)
(*.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 1)
(*.f64 1 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) (sqrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(pow.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 2))
(log.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 1))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) -1)
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y))) (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (log.f64 2)))
(+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)) (*.f64 (log.f64 2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(-.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)
(*.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) 3) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 3) 1) (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)) (+.f64 1 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)) 1) (+.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 1))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 3))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))

simplify173.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1412×fma-def
934×distribute-rgt-in
922×distribute-lft-in
736×times-frac
512×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105219822
1306119166
Stop Event
1×node limit
Counts
526 → 578
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(pow.f64 (log.f64 2) 3)
(+.f64 (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (pow.f64 (log.f64 2) 3))
(+.f64 (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))) (pow.f64 (log.f64 2) 3)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))) (pow.f64 (log.f64 2) 3))))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2))))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))) (pow.f64 (log.f64 2) 3))))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (pow.f64 (log.f64 2) 2)) (*.f64 -1/2 (pow.f64 (log.f64 2) 2))))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2))))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (pow.f64 (log.f64 2) 2)) (*.f64 -1/2 (pow.f64 (log.f64 2) 2))))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))) (pow.f64 (log.f64 2) 3))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 2 x)
(+.f64 (*.f64 -4 (*.f64 x y)) (*.f64 2 x))
(+.f64 (*.f64 -4 (*.f64 x y)) (+.f64 (*.f64 2 x) (*.f64 8 (*.f64 x (pow.f64 y 2)))))
(+.f64 (*.f64 -16 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -4 (*.f64 x y)) (+.f64 (*.f64 2 x) (*.f64 8 (*.f64 x (pow.f64 y 2))))))
(/.f64 x y)
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1/8 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (/.f64 x y))))
(/.f64 x y)
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1/8 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (/.f64 x y))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
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(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 (/.f64 (+.f64 1/2 y) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 y) x))) 1)
(*.f64 (+.f64 1/2 y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1/2 y) x) 1)
(*.f64 1 (/.f64 (+.f64 1/2 y) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 2) (cbrt.f64 (/.f64 (+.f64 1/2 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/2 y) x)) (sqrt.f64 (/.f64 (+.f64 1/2 y) x)))
(*.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 (sqrt.f64 (+.f64 1/2 y)) (/.f64 1 x)))
(*.f64 (+.f64 (neg.f64 y) -1/2) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 1/2 y))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 1/2 y) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1/2 y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1/2 y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 y)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (+.f64 (neg.f64 y) -1/2))
(pow.f64 (/.f64 x (+.f64 1/2 y)) -1)
(pow.f64 (/.f64 (+.f64 1/2 y) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/2 y) x)) 2)
(neg.f64 (/.f64 (+.f64 1/2 y) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 y) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 y) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 y) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 y) x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))) 1)
(*.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 1)
(*.f64 1 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) (sqrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(pow.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 2))
(log.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) 1))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1/3) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) -1)
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y))) (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (log.f64 2)))
(+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)) (*.f64 (log.f64 2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(-.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)
(*.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) 3) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 3) 1) (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)) (+.f64 1 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)) 1) (+.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 1))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 3))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (log.f64 2) 3)
(+.f64 (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (pow.f64 (log.f64 2) 3))
(fma.f64 x (*.f64 3/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 3))
(+.f64 (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))) (pow.f64 (log.f64 2) 3)))
(fma.f64 x (*.f64 3/2 (pow.f64 (log.f64 2) 2)) (fma.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4) (pow.f64 (log.f64 2) 3)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))) (pow.f64 (log.f64 2) 3))))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 x (*.f64 3/2 (pow.f64 (log.f64 2) 2)) (fma.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4) (pow.f64 (log.f64 2) 3))))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4)))
(fma.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4) (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2))))))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 x (*.f64 3/2 (pow.f64 (log.f64 2) 2)) (*.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 x (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))) (pow.f64 (log.f64 2) 3))))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 x (*.f64 3/2 (pow.f64 (log.f64 2) 2)) (fma.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4) (pow.f64 (log.f64 2) 3))))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4)))
(fma.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4) (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (pow.f64 (log.f64 2) 2)) (*.f64 -1/2 (pow.f64 (log.f64 2) 2))))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2))))))
(fma.f64 -1 (*.f64 x (*.f64 (pow.f64 (log.f64 2) 2) -3/2)) (fma.f64 1/8 (pow.f64 x 3) (*.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4))))
(-.f64 (fma.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4) (*.f64 1/8 (pow.f64 x 3))) (*.f64 x (*.f64 (pow.f64 (log.f64 2) 2) -3/2)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (pow.f64 (log.f64 2) 2)) (*.f64 -1/2 (pow.f64 (log.f64 2) 2))))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 (log.f64 2)) (*.f64 1/2 (log.f64 2)))) (pow.f64 (log.f64 2) 3))))
(fma.f64 -1 (*.f64 x (*.f64 (pow.f64 (log.f64 2) 2) -3/2)) (fma.f64 1/8 (pow.f64 x 3) (fma.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4) (pow.f64 (log.f64 2) 3))))
(-.f64 (fma.f64 1/8 (pow.f64 x 3) (fma.f64 (*.f64 x x) (*.f64 (log.f64 2) 3/4) (pow.f64 (log.f64 2) 3))) (*.f64 x (*.f64 (pow.f64 (log.f64 2) 2) -3/2)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) 3) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 1) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 3) 1) (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)) (+.f64 1 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) 3) -1) (fma.f64 (+.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) (+.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)) 1) (+.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1) 1))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 2) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 2))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1)
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 3) 1/3)
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 2)
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 3))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(exp.f64 (*.f64 3 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))
(+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 0)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)

eval586.0ms (5.3%)

Compiler

Compiled 17380 to 13515 computations (22.2% saved)

prune198.0ms (1.8%)

Pruning

26 alts after pruning (16 fresh and 10 done)

PrunedKeptTotal
New63516651
Fresh000
Picked325
Done189
Total63926665
Accuracy
99.7%
Counts
665 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.0%
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
4.9%
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))) (+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
40.5%
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
22.5%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
5.8%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
22.8%
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 1/2 y)))
23.3%
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓92.8%
(-.f64 (log.f64 2) (*.f64 x y))
✓98.8%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓98.8%
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
49.3%
(+.f64 (*.f64 1/2 x) (log.f64 2))
✓51.7%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
22.5%
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
22.8%
(*.f64 (/.f64 1 (/.f64 (+.f64 1/2 y) x)) (-.f64 1/4 (*.f64 y y)))
2.6%
(*.f64 (+.f64 (*.f64 -4 (*.f64 x y)) (*.f64 2 x)) (-.f64 1/4 (*.f64 y y)))
12.7%
(*.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
5.8%
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
✓52.6%
(*.f64 y (neg.f64 x))
23.3%
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
✓40.7%
(*.f64 x (-.f64 1/2 y))
✓3.8%
(*.f64 1/2 x)
48.3%
(log.f64 2)
✓56.8%
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))
49.8%
(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))))
56.5%
(cbrt.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))))
Compiler

Compiled 690 to 468 computations (32.2% saved)

regimes53.0ms (0.5%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 1/2 y) x)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 1/2 y)))
(*.f64 (+.f64 (*.f64 -4 (*.f64 x y)) (*.f64 2 x)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))) (+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))))
(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(cbrt.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))))
Outputs
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
Calls

3 calls:

17.0ms
y
16.0ms
x
11.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 377 to 239 computations (36.6% saved)

regimes44.0ms (0.4%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 1/2 y) x)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 1/2 y)))
(*.f64 (+.f64 (*.f64 -4 (*.f64 x y)) (*.f64 2 x)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))) (+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

14.0ms
y
14.0ms
x
8.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 312 to 193 computations (38.1% saved)

regimes62.0ms (0.6%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 1/2 y) x)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 1/2 y)))
(*.f64 (+.f64 (*.f64 -4 (*.f64 x y)) (*.f64 2 x)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))) (+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
Calls

2 calls:

34.0ms
y
21.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
94.6%3y
Compiler

Compiled 262 to 160 computations (38.9% saved)

regimes27.0ms (0.2%)

Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 1/2 y) x)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 1/2 y)))
(*.f64 (+.f64 (*.f64 -4 (*.f64 x y)) (*.f64 2 x)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))) (+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 247 to 149 computations (39.7% saved)

regimes26.0ms (0.2%)

Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 1/2 y) x)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 1/2 y)))
(*.f64 (+.f64 (*.f64 -4 (*.f64 x y)) (*.f64 2 x)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))) (+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
Compiler

Compiled 229 to 135 computations (41% saved)

regimes127.0ms (1.2%)

Counts
19 → 7
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 1/2 y) x)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 1/2 y)))
(*.f64 (+.f64 (*.f64 -4 (*.f64 x y)) (*.f64 2 x)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))) (+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
Calls

2 calls:

69.0ms
x
52.0ms
y
Results
AccuracySegmentsBranch
78.0%5y
87.0%7x
Compiler

Compiled 226 to 134 computations (40.7% saved)

regimes76.0ms (0.7%)

Counts
18 → 7
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 1/2 y) x)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 1/2 y)))
(*.f64 (+.f64 (*.f64 -4 (*.f64 x y)) (*.f64 2 x)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))) (+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
(log.f64 2)
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
Calls

1 calls:

71.0ms
x
Results
AccuracySegmentsBranch
86.7%7x
Compiler

Compiled 217 to 127 computations (41.5% saved)

regimes24.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 1/2 y) x)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 1/2 y)))
(*.f64 (+.f64 (*.f64 -4 (*.f64 x y)) (*.f64 2 x)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))) (+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
Outputs
(*.f64 y (neg.f64 x))
Calls

2 calls:

10.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
52.6%1y
52.6%1x
Compiler

Compiled 218 to 127 computations (41.7% saved)

regimes9.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
3.8%1x
3.8%1y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch53.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
53.0ms
-1534542021.5461507
-1130379.229993503
Results
24.0ms34×body1024valid
15.0ms69×body256valid
7.0ms19×body512valid
2.0ms1×body2048valid
1.0ms5×body256infinite
Compiler

Compiled 192 to 148 computations (22.9% saved)

bsearch40.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
40.0ms
-8.19154142294117
-0.05876390190297149
Results
36.0ms112×body256valid
Compiler

Compiled 142 to 110 computations (22.5% saved)

bsearch76.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
76.0ms
-1534542021.5461507
-1130379.229993503
Results
31.0ms79×body256valid
26.0ms24×body1024valid
12.0ms19×body512valid
2.0ms6×body256infinite
Compiler

Compiled 144 to 108 computations (25% saved)

bsearch295.0ms (2.7%)

Algorithm
6×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
54.0ms
3.1088567922620263e-63
1.9060125540049982e-59
68.0ms
-4.0317193539878344e-140
-4.233490573787251e-146
43.0ms
-6.546044030415142e-101
-8.593570784626937e-105
44.0ms
-5.98705478303475e-74
-4.211048652574448e-75
50.0ms
-2.2060765396058825e-27
-1.6346124605232047e-32
35.0ms
-1.003918257494029e-10
-8.197058006449774e-12
Results
267.0ms736×body256valid
Compiler

Compiled 636 to 525 computations (17.5% saved)

bsearch261.0ms (2.4%)

Algorithm
6×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
3.1088567922620263e-63
1.9060125540049982e-59
49.0ms
-4.0317193539878344e-140
-4.233490573787251e-146
44.0ms
-6.546044030415142e-101
-8.593570784626937e-105
34.0ms
-5.98705478303475e-74
-4.211048652574448e-75
52.0ms
-2.2060765396058825e-27
-1.6346124605232047e-32
35.0ms
-1.003918257494029e-10
-8.197058006449774e-12
Results
235.0ms736×body256valid
Compiler

Compiled 576 to 480 computations (16.7% saved)

simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
22×+-commutative
18×*-commutative
14×sub-neg
12×cancel-sign-sub-inv
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072445
199445
2114445
3119445
4121445
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -1150000) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1150000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -4797017652230849/154742504910672534362390528) (*.f64 y (neg.f64 x)) (if (<=.f64 x -7136238463529799/89202980794122492566142873090593446023921664) (+.f64 (*.f64 1/2 x) (log.f64 2)) (if (<=.f64 x -6874996420128891/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 y (neg.f64 x)) (if (<=.f64 x -5551837237886853/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (log.f64 2) (if (<=.f64 x -3075429351738513/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3957737425103581/226156424291633194186662080095093570025917938800079226639565593765455331328) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))
(if (<=.f64 x -5694524180712749/618970019642690137449562112) (*.f64 y (neg.f64 x)) (if (<=.f64 x -6850788924988607/22835963083295358096932575511191922182123945984) (log.f64 2) (if (<=.f64 x -7638884911254323/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 y (neg.f64 x)) (if (<=.f64 x -5551837237886853/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (log.f64 2) (if (<=.f64 x -8151947221405099/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (*.f64 y (neg.f64 x)) (if (<=.f64 x 633237988016573/452312848583266388373324160190187140051835877600158453279131187530910662656) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
Outputs
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -1150000) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -1150000) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1150000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -1150000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -4797017652230849/154742504910672534362390528) (*.f64 y (neg.f64 x)) (if (<=.f64 x -7136238463529799/89202980794122492566142873090593446023921664) (+.f64 (*.f64 1/2 x) (log.f64 2)) (if (<=.f64 x -6874996420128891/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 y (neg.f64 x)) (if (<=.f64 x -5551837237886853/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (log.f64 2) (if (<=.f64 x -3075429351738513/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3957737425103581/226156424291633194186662080095093570025917938800079226639565593765455331328) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))
(if (<=.f64 x -4797017652230849/154742504910672534362390528) (*.f64 y (neg.f64 x)) (if (<=.f64 x -7136238463529799/89202980794122492566142873090593446023921664) (+.f64 (log.f64 2) (*.f64 x 1/2)) (if (<=.f64 x -6874996420128891/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 y (neg.f64 x)) (if (<=.f64 x -5551837237886853/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (log.f64 2) (if (<=.f64 x -3075429351738513/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3957737425103581/226156424291633194186662080095093570025917938800079226639565593765455331328) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))
(if (<=.f64 x -4797017652230849/154742504910672534362390528) (*.f64 x (neg.f64 y)) (if (<=.f64 x -7136238463529799/89202980794122492566142873090593446023921664) (+.f64 (log.f64 2) (*.f64 x 1/2)) (if (<=.f64 x -6874996420128891/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 x (neg.f64 y)) (if (<=.f64 x -5551837237886853/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (log.f64 2) (if (<=.f64 x -3075429351738513/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 x (neg.f64 y)) (if (<=.f64 x 3957737425103581/226156424291633194186662080095093570025917938800079226639565593765455331328) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))
(if (<=.f64 x -5694524180712749/618970019642690137449562112) (*.f64 y (neg.f64 x)) (if (<=.f64 x -6850788924988607/22835963083295358096932575511191922182123945984) (log.f64 2) (if (<=.f64 x -7638884911254323/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 y (neg.f64 x)) (if (<=.f64 x -5551837237886853/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (log.f64 2) (if (<=.f64 x -8151947221405099/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (*.f64 y (neg.f64 x)) (if (<=.f64 x 633237988016573/452312848583266388373324160190187140051835877600158453279131187530910662656) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))
(if (<=.f64 x -5694524180712749/618970019642690137449562112) (*.f64 x (neg.f64 y)) (if (<=.f64 x -6850788924988607/22835963083295358096932575511191922182123945984) (log.f64 2) (if (<=.f64 x -7638884911254323/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 x (neg.f64 y)) (if (<=.f64 x -5551837237886853/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (log.f64 2) (if (<=.f64 x -8151947221405099/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (*.f64 x (neg.f64 y)) (if (<=.f64 x 633237988016573/452312848583266388373324160190187140051835877600158453279131187530910662656) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 189 to 127 computations (32.8% saved)

soundness1.3s (12.1%)

Rules
1934×pow1
1780×add-exp-log
1780×log1p-expm1-u
1780×expm1-log1p-u
1536×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025113
161109
294101
3211101
4365101
5607101
61137101
72603101
85620101
97751101
01542196
13852068
216222060
370392060
01542196
13852068
216222060
370392060
023135
1505127
27224127
028165
1600157
27401157
0930
118730
2245830
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 218 to 158 computations (27.5% saved)

end0.0ms (0%)

preprocess245.0ms (2.2%)

Compiler

Compiled 424 to 250 computations (41% saved)

Profiling

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