Logistic regression 2

Time bar (total: 11.5s)

analyze76.0ms (0.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample3.4s (29.6%)

Results
2.1s2564×body8192exit
997.0ms7178×body256valid
111.0ms685×body256infinite
97.0ms181×body1024valid
57.0ms211×body512valid
1.0msbody2048valid
Bogosity

preprocess265.0ms (2.3%)

Algorithm
egg-herbie
Rules
566×associate-+r+
523×associate-+l+
465×times-frac
455×fma-def
406×*-commutative
Problems
251×No Errors
(log.f64 (+.f64 1 (exp.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
167226
2144210
3311210
4717210
51012210
61577210
73109210
85122210
Stop Event
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)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.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))
(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)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (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))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))
Compiler

Compiled 40 to 23 computations (42.5% 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
98.4%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
98.4%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize41.0ms (0.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
98.5%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 20 to 7 computations (65% saved)

series60.0ms (0.5%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
33.0ms
x
@inf
(log1p.f64 (exp.f64 x))
22.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
3.0ms
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))

rewrite352.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
566×*-un-lft-identity
320×*-commutative
289×unswap-sqr
227×distribute-lft-in
225×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01242
113642
2171242
Stop Event
node limit
Counts
2 → 200
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Outputs
(+.f64 (exp.f64 (log1p.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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(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))))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 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 (*.f64 x (neg.f64 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 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 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.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)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) 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)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) 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)) (+.f64 (fma.f64 (neg.f64 x) y (*.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)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.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)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.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)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 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 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) 1))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (neg.f64 (/.f64 (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 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) -1)
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (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)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 3) (pow.f64 (/.f64 (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))))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.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) (+.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 (*.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 (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)) 3) (+.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 (*.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 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(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)
(neg.f64 (/.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)))))
(neg.f64 (/.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)))))))
(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))))
(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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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)))

simplify250.0ms (2.2%)

Algorithm
egg-herbie
Rules
511×fma-def
402×associate-*r*
397×associate-+r-
368×associate-/l*
311×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057720901
1173118940
2798318940
Stop Event
node limit
Counts
236 → 308
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 (exp.f64 (log1p.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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(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))))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 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 (*.f64 x (neg.f64 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 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 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.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)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) 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)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) 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)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.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) (+.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 (*.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 (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)) 3) (+.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 (*.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 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) 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 y) x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))) (*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.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 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.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 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 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 (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 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (/.f64 (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) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 3) (pow.f64 (/.f64 (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))))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.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) (+.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 (*.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 (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)) 3) (+.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 (*.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 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(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)
(neg.f64 (/.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)))))
(neg.f64 (/.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)))))))
(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))))
(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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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)))
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 (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))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 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 (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 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 x (-.f64 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) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 -1 (*.f64 x y))
(*.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 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 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 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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) -1)
(log1p.f64 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(log1p.f64 (exp.f64 x))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/6))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3/2))
(log1p.f64 (exp.f64 x))
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(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 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 (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 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (-.f64 (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 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) 3)) (fma.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (+.f64 (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (log1p.f64 (exp.f64 x))) (*.f64 x y)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (/.f64 (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) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) 3)) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3)) (/.f64 (pow.f64 (*.f64 x y) 6) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 3) (pow.f64 (/.f64 (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))))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.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) (+.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 (*.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 (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)) 3) (+.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 (*.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 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))) 3)) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))) (/.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 3)) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (fma.f64 x (*.f64 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)) 3) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (/.f64 (pow.f64 (*.f64 x y) 3) (fma.f64 x (*.f64 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)) 6) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 1 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (+.f64 1 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.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))
(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))
(neg.f64 (/.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 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(neg.f64 (/.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)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(fabs.f64 (-.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))
(log.f64 (+.f64 1 (expm1.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))
(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 x (neg.f64 y)))
(-.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 x (neg.f64 y)))
(-.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 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval123.0ms (1.1%)

Compiler

Compiled 10525 to 3017 computations (71.3% saved)

prune69.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3035308
Fresh000
Picked011
Done000
Total3036309
Accuracy
99.4%
Counts
309 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.6%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
98.4%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
92.1%
(-.f64 (log.f64 2) (*.f64 x y))
66.0%
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
82.5%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
52.5%
(*.f64 x (neg.f64 y))
82.6%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
98.4%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
92.1%
(-.f64 (log.f64 2) (*.f64 x y))
66.0%
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
82.5%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
52.5%
(*.f64 x (neg.f64 y))
Compiler

Compiled 202 to 152 computations (24.8% saved)

localize206.0ms (1.8%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
98.5%
(exp.f64 (log1p.f64 (*.f64 x y)))
98.5%
(log1p.f64 (exp.f64 x))
97.7%
(log1p.f64 (*.f64 x y))
93.9%
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
100.0%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
100.0%
(*.f64 x (-.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))
Compiler

Compiled 103 to 46 computations (55.3% saved)

series66.0ms (0.6%)

Counts
7 → 147
Calls

42 calls:

TimeVariablePointExpression
23.0ms
y
@-inf
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
11.0ms
x
@-inf
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
9.0ms
x
@inf
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
8.0ms
y
@inf
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
4.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))

rewrite792.0ms (6.9%)

Algorithm
batch-egg-rewrite
Rules
340×associate-/r*
263×associate-/l*
242×associate-+l+
219×associate-/r/
215×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025174
1363158
24757158
Stop Event
node limit
Counts
7 → 395
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
(log1p.f64 (*.f64 x y))
(exp.f64 (log1p.f64 (*.f64 x y)))
Outputs
(+.f64 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 x) y (*.f64 x y))))
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(cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (*.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x y) 1)))

simplify331.0ms (2.9%)

Algorithm
egg-herbie
Rules
689×associate-*r*
579×associate-*l*
527×+-commutative
408×associate-+l+
376×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099736713
1291636157
Stop Event
node limit
Counts
542 → 658
Calls
Call 1
Inputs
(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)
(*.f64 x (-.f64 1/2 y))
(*.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)))
(*.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))
(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)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 (pow.f64 x 2) (-.f64 1/8 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2)))))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/2 (pow.f64 y 3)) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/3 (pow.f64 y 3)))))) (+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 (pow.f64 x 2) (-.f64 1/8 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(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 (*.f64 -1 (*.f64 x y)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))))) (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3)))))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(*.f64 x y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 x y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x y))))
(+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 x y))))
(-.f64 (+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 x y)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 1 (*.f64 x y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 x y))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 x y)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 1 (*.f64 x y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(*.f64 x y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 x y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x y))))
(+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 x y))))
(-.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 x y)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 1 (*.f64 x y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 (*.f64 x y))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 (*.f64 x y)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 1 (*.f64 x y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 y 2)))))
1
(+.f64 1 (*.f64 x y))
(+.f64 1 (+.f64 (*.f64 x y) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))))))
(+.f64 1 (+.f64 (*.f64 x y) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2)))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/2 (pow.f64 y 3)) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/3 (pow.f64 y 3))))))))
(exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x y)))
(+.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x y)))
(+.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x y)))
(exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x y)))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x y)))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x y)))
1
(+.f64 1 (*.f64 x y))
(+.f64 1 (+.f64 (*.f64 x y) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (*.f64 x y) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3))))))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 x y)))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 x y)))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 x y)))
(exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 x y)))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 x y)))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 x y)))
(+.f64 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
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(/.f64 (+.f64 1 (pow.f64 (*.f64 x y) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x y))))
(pow.f64 (+.f64 (*.f64 x y) 1) 1)
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x y) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) 1)) 3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 x y)))) (sqrt.f64 (log1p.f64 (*.f64 x y))))
(pow.f64 (exp.f64 1) (log1p.f64 (*.f64 x y)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x y) 1) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x y) 1))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (*.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x y) 1)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.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 x 1/2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.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 (*.f64 x (-.f64 1/2 y)) (*.f64 (pow.f64 x 2) (-.f64 1/8 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2)))))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) (-.f64 1/8 (*.f64 (pow.f64 y 2) 0)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/2 (pow.f64 y 3)) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/3 (pow.f64 y 3)))))) (+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 (pow.f64 x 2) (-.f64 1/8 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/2 (pow.f64 y 2))))))))
(+.f64 (log.f64 2) (fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 -1/2 (pow.f64 y 3) (*.f64 (pow.f64 y 3) 1/2))) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) (-.f64 1/8 (*.f64 (pow.f64 y 2) 0))))))
(+.f64 (log.f64 2) (fma.f64 -1 (*.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 3)))) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) (-.f64 1/8 (*.f64 (pow.f64 y 2) 0))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 1 (-.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 x y))) (log1p.f64 (exp.f64 x))) (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x)))))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 x y))) (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 1 (-.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 x y))) (log1p.f64 (exp.f64 x))) (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x)))))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 x y))) (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 1 (-.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 x y))) (log1p.f64 (exp.f64 x))) (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x)))))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 x y))) (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))))
(+.f64 (log1p.f64 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 x y))) (log1p.f64 (exp.f64 x)))) (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 x y))) (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 x y))) (log1p.f64 (exp.f64 x)))) (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 x y))) (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x y))))) (exp.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 x y))) (log1p.f64 (exp.f64 x)))) (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 x y))) (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))))))
(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 (*.f64 -1 (*.f64 x y)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 (*.f64 -1 (fma.f64 x y (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 2) 0)))) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))))) (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/3 (pow.f64 x 3)))))))))
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1
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(*.f64 (log1p.f64 (*.f64 x y)) 1)
(log1p.f64 (*.f64 x y))
(*.f64 1 (log1p.f64 (*.f64 x y)))
(log1p.f64 (*.f64 x y))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x y))) (sqrt.f64 (log1p.f64 (*.f64 x y))))
(log1p.f64 (*.f64 x y))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) 2))
(log1p.f64 (*.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) 2) (cbrt.f64 (log1p.f64 (*.f64 x y))))
(log1p.f64 (*.f64 x y))
(pow.f64 (log1p.f64 (*.f64 x y)) 1)
(log1p.f64 (*.f64 x y))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x y))) 2)
(log1p.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) 3)
(log1p.f64 (*.f64 x y))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x y)) 3) 1/3)
(log1p.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x y)) 2))
(log.f64 (+.f64 (*.f64 x y) 1))
(log.f64 (fma.f64 x y 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x y)) 3))
(log1p.f64 (*.f64 x y))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x y))))
(log1p.f64 (*.f64 x y))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x y))))
(log1p.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x y))) 1))
(log1p.f64 (*.f64 x y))
(+.f64 (*.f64 x y) 1)
(fma.f64 x y 1)
(+.f64 (+.f64 (*.f64 x y) 1) 0)
(fma.f64 x y 1)
(+.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 (+.f64 2 (*.f64 x y)) -1)
(fma.f64 x y 1)
(-.f64 (+.f64 (*.f64 x y) 1) 0)
(fma.f64 x y 1)
(-.f64 (+.f64 2 (*.f64 x y)) 1)
(fma.f64 x y 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (*.f64 x y)))) 1)
(fma.f64 x y 1)
(*.f64 (+.f64 (*.f64 x y) 1) 1)
(fma.f64 x y 1)
(*.f64 1 (+.f64 (*.f64 x y) 1))
(fma.f64 x y 1)
(*.f64 (sqrt.f64 (+.f64 (*.f64 x y) 1)) (sqrt.f64 (+.f64 (*.f64 x y) 1)))
(fma.f64 x y 1)
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) 1)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) 1)) 2))
(fma.f64 x y 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) 1)) 2) (cbrt.f64 (+.f64 (*.f64 x y) 1)))
(fma.f64 x y 1)
(/.f64 (-.f64 1 (pow.f64 (*.f64 x y) 2)) (-.f64 1 (*.f64 x y)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x y) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 1 (*.f64 x y))))
(pow.f64 (+.f64 (*.f64 x y) 1) 1)
(fma.f64 x y 1)
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) 1) 3) 1/3)
(fma.f64 x y 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x y) 1)) 2)
(fma.f64 x y 1)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) 1)) 3)
(fma.f64 x y 1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 x y)))) (sqrt.f64 (log1p.f64 (*.f64 x y))))
(pow.f64 (exp.f64 1) (log1p.f64 (*.f64 x y)))
(pow.f64 (E.f64) (log1p.f64 (*.f64 x y)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x y) 1) 2))
(sqrt.f64 (pow.f64 (fma.f64 x y 1) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x y) 1)))
(fma.f64 x y 1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x y) 1))))
(fma.f64 x y 1)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) 1) 3))
(fma.f64 x y 1)
(expm1.f64 (log.f64 (+.f64 2 (*.f64 x y))))
(fma.f64 x y 1)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x y) 1)))
(fma.f64 x y 1)

eval427.0ms (3.7%)

Compiler

Compiled 18761 to 11118 computations (40.7% saved)

prune148.0ms (1.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New6898697
Fresh000
Picked235
Done011
Total69112703
Accuracy
99.4%
Counts
703 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.6%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
98.4%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
92.1%
(-.f64 (log.f64 2) (*.f64 x y))
40.8%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (log1p.f64 1))
92.1%
(+.f64 (-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1)) 1)
82.1%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
47.8%
(+.f64 (log.f64 2) (*.f64 x 1/2))
36.6%
(*.f64 x (-.f64 1/2 y))
52.5%
(*.f64 x (neg.f64 y))
48.2%
(log1p.f64 (exp.f64 x))
48.0%
(log.f64 2)
64.6%
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
82.6%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
98.4%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
92.1%
(-.f64 (log.f64 2) (*.f64 x y))
40.8%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (log1p.f64 1))
92.1%
(+.f64 (-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1)) 1)
82.1%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
47.8%
(+.f64 (log.f64 2) (*.f64 x 1/2))
36.6%
(*.f64 x (-.f64 1/2 y))
52.5%
(*.f64 x (neg.f64 y))
48.2%
(log1p.f64 (exp.f64 x))
48.0%
(log.f64 2)
64.6%
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
Compiler

Compiled 356 to 290 computations (18.5% saved)

localize235.0ms (2%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
98.6%
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
96.2%
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))
100.0%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
100.0%
(*.f64 x (-.f64 1/2 y))
99.3%
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
95.7%
(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(+.f64 (-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1)) 1)
100.0%
(-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1))
Compiler

Compiled 132 to 91 computations (31.1% saved)

series28.0ms (0.2%)

Counts
8 → 137
Calls

48 calls:

TimeVariablePointExpression
4.0ms
y
@0
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))
3.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
2.0ms
y
@0
(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
2.0ms
x
@0
(-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1))
1.0ms
y
@0
(-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1))

rewrite233.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
379×associate-+l+
354×associate-/r*
240×associate-+r+
232×associate-/l*
232×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027202
1394194
24537194
Stop Event
node limit
Counts
8 → 550
Calls
Call 1
Inputs
(-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1))
(+.f64 (-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1)) 1)
(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
Outputs
(+.f64 1 (-.f64 (log.f64 2) (+.f64 (*.f64 x y) 2)))
(+.f64 (log.f64 2) (-.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (-.f64 -1 (*.f64 x y)) 1))
(+.f64 (log.f64 2) (+.f64 (-.f64 -1 (*.f64 x y)) (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1))))
(+.f64 (log.f64 2) (+.f64 (*.f64 (-.f64 -1 (*.f64 x y)) 1) (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1))))
(+.f64 (log.f64 2) (+.f64 (-.f64 -1 (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1))))
(+.f64 (log.f64 2) (+.f64 (*.f64 (-.f64 -1 (*.f64 x y)) 1) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1))))
(+.f64 (log.f64 2) (+.f64 (-.f64 -1 (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1))))
(+.f64 (log.f64 2) (+.f64 (*.f64 (-.f64 -1 (*.f64 x y)) 1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1))))
(+.f64 (log.f64 2) (+.f64 (-.f64 0 (*.f64 x y)) -1))
(+.f64 (log.f64 2) (+.f64 (*.f64 (neg.f64 y) x) -1))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) -1))
(+.f64 (log.f64 2) (+.f64 (*.f64 (neg.f64 x) y) -1))
(+.f64 (log.f64 2) (+.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))) -1))
(+.f64 (log.f64 2) (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))) -1))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (*.f64 x y)) 1))
(+.f64 (log.f64 2) (-.f64 (*.f64 (neg.f64 y) x) 1))
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (*.f64 x y)) 1))
(+.f64 (log.f64 2) (-.f64 (*.f64 (neg.f64 x) y) 1))
(+.f64 (log.f64 2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))) 1))
(+.f64 (log.f64 2) (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))) 1))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) 0)
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1)))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1)))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1)))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1)) (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1)) (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1)) (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) -1)
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 -1 (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 -1 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 -1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1))))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 x y)) -1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) -1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) -1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) -1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) -1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (-.f64 (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 x y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (-.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (-.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) 1))
(+.f64 (-.f64 (log.f64 2) (+.f64 (*.f64 x y) 2)) 1)
(+.f64 (-.f64 -1 (*.f64 x y)) (log.f64 2))
(+.f64 (-.f64 -1 (*.f64 x y)) (+.f64 (log.f64 2) (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1))))
(+.f64 (-.f64 -1 (*.f64 x y)) (+.f64 (log.f64 2) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1))))
(+.f64 (-.f64 -1 (*.f64 x y)) (+.f64 (log.f64 2) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1))))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (neg.f64 (*.f64 x y)) -2))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (-.f64 -1 (*.f64 x y)) -1))
(+.f64 (*.f64 (-.f64 -1 (*.f64 x y)) 1) (log.f64 2))
(+.f64 -1 (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) (+.f64 -1 (log.f64 2)))
(+.f64 (fma.f64 (-.f64 -1 (*.f64 x y)) 1 (fma.f64 x y 1)) (-.f64 (log.f64 2) (fma.f64 x y 1)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x y 1))) (sqrt.f64 (fma.f64 x y 1)) (fma.f64 x y 1)) (-.f64 (log.f64 2) (fma.f64 x y 1)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (fma.f64 x y 1)) (-.f64 (log.f64 2) (fma.f64 x y 1)))
(+.f64 (+.f64 (log.f64 2) -1) (neg.f64 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y -1))) (/.f64 1 (fma.f64 x y -1)))
(+.f64 (-.f64 (log.f64 2) (exp.f64 (log1p.f64 (fma.f64 x y 1)))) 1)
(*.f64 1 (-.f64 (log.f64 2) (fma.f64 x y 1)))
(*.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) 1)
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 x y 1) 2)) (/.f64 1 (+.f64 (log.f64 2) (fma.f64 x y 1))))
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(*.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 (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 (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 (/.f64 1 (-.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 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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))) (-.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 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (pow.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))) (*.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 1 (/.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (log.f64 2) (*.f64 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 (+.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 (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) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (fma.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)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (+.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1) (+.f64 2 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3) 1) (+.f64 (+.f64 (*.f64 (+.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (+.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1) (*.f64 (+.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)))
(/.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 (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 (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (/.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)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))) (/.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)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))) (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) 1) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 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 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (sqrt.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)))))) (sqrt.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 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.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))))) (cbrt.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))))))) (cbrt.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))))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (sqrt.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))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(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))))

simplify323.0ms (2.8%)

Algorithm
egg-herbie
Rules
713×associate-*r*
617×+-commutative
566×associate-*l*
526×associate-+r+
490×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0121646025
1354945423
Stop Event
node limit
Counts
687 → 689
Calls
Call 1
Inputs
(-.f64 (log.f64 2) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(*.f64 -1 (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(*.f64 -1 (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (log.f64 2) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(*.f64 -1 (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(*.f64 -1 (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(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)))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (pow.f64 x 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 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 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (sqrt.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)))))) (sqrt.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 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.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))))) (cbrt.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))))))) (cbrt.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))))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (sqrt.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))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(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))))
Outputs
(-.f64 (log.f64 2) 1)
(+.f64 (log.f64 2) -1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (log.f64 2) 1)
(+.f64 (log.f64 2) -1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) 1)
(+.f64 (log.f64 2) (fma.f64 (neg.f64 y) x -1))
(-.f64 (log.f64 2) (fma.f64 x y 1))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) y))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (*.f64 (pow.f64 y 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) y))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 y 2)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (pow.f64 x 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 y 3) (fma.f64 -1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))))))) (pow.f64 (cbrt.f64 1/2) 2)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (*.f64 (pow.f64 y 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) y))) (fma.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 y 3) (fma.f64 -1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))))))) (pow.f64 (cbrt.f64 1/2) 2)) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 y 2)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)))))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)) (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))))
(fma.f64 1/2 x (*.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1)))
(fma.f64 1/2 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) (neg.f64 y)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))))))
(fma.f64 1/2 x (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (*.f64 (pow.f64 y 2) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (*.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)))))))
(fma.f64 1/2 x (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) -1)) (*.f64 (pow.f64 y 2) (fma.f64 -1/9 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))))) (fma.f64 2/9 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))))) (*.f64 (*.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))))) -1/9))))))
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(log.f64 2)
(log.f64 2)
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (/.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)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))) (/.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)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))) (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (/.f64 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) 1) (-.f64 (log.f64 2) (*.f64 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 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 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) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (sqrt.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)))))) (sqrt.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 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.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))))) (cbrt.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))))))) (cbrt.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 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.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))
(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)))))
(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))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval569.0ms (4.9%)

Compiler

Compiled 23652 to 18400 computations (22.2% saved)

prune507.0ms (4.4%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New8996905
Fresh123
Picked235
Done134
Total90314917
Accuracy
99.4%
Counts
917 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(fma.f64 x (neg.f64 y) (log.f64 2))
98.4%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
92.1%
(-.f64 (log.f64 2) (*.f64 x y))
92.1%
(+.f64 (-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1)) 1)
53.8%
(+.f64 (*.f64 x (neg.f64 y)) 1)
47.8%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
47.8%
(+.f64 (log.f64 2) (*.f64 x 1/2))
36.6%
(*.f64 x (-.f64 1/2 y))
52.5%
(*.f64 x (neg.f64 y))
3.2%
(*.f64 x 1/2)
48.2%
(log1p.f64 (exp.f64 x))
48.0%
(log.f64 2)
5.7%
(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
47.0%
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))
92.1%
(fma.f64 x (neg.f64 y) (log.f64 2))
98.4%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
92.1%
(-.f64 (log.f64 2) (*.f64 x y))
92.1%
(+.f64 (-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1)) 1)
53.8%
(+.f64 (*.f64 x (neg.f64 y)) 1)
47.8%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
47.8%
(+.f64 (log.f64 2) (*.f64 x 1/2))
36.6%
(*.f64 x (-.f64 1/2 y))
52.5%
(*.f64 x (neg.f64 y))
3.2%
(*.f64 x 1/2)
48.2%
(log1p.f64 (exp.f64 x))
48.0%
(log.f64 2)
5.7%
(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
47.0%
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))
Compiler

Compiled 428 to 348 computations (18.7% saved)

localize571.0ms (5%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.9%
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
99.9%
(/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
99.9%
(+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
99.6%
(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
100.0%
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))
Compiler

Compiled 197 to 150 computations (23.9% saved)

series76.0ms (0.7%)

Counts
5 → 93
Calls

27 calls:

TimeVariablePointExpression
19.0ms
x
@inf
(+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
14.0ms
x
@inf
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
12.0ms
x
@inf
(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
9.0ms
x
@0
(+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
4.0ms
x
@0
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))

rewrite200.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
373×associate-+l+
290×+-commutative
253×associate-+r+
201×pow1
195×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029306
1460210
26693210
Stop Event
node limit
Counts
5 → 212
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))
(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(+.f64 (/.f64 1 (*.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 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
Outputs
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) 0)
(+.f64 -1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1))
(+.f64 1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1))
(+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1)
(+.f64 (+.f64 (log.f64 2) 1) (+.f64 (*.f64 x 1/2) -1))
(+.f64 (+.f64 (*.f64 x 1/2) 1) (+.f64 (log.f64 2) -1))
(-.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (pow.f64 (*.f64 x 1/2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) 1) (+.f64 2 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (+.f64 1 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
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(*.f64 (log.f64 1/2) (/.f64 1 (*.f64 x (neg.f64 (-.f64 1/2 y)))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (sqrt.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))) (sqrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))))
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) (/.f64 x (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (cbrt.f64 (log.f64 2)) (/.f64 x (-.f64 1/2 y))))
(*.f64 (*.f64 (log.f64 2) (sqrt.f64 (/.f64 x (-.f64 1/2 y)))) (sqrt.f64 (/.f64 x (-.f64 1/2 y))))
(*.f64 (*.f64 (log.f64 2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1/2 y))) 2)) (cbrt.f64 (/.f64 x (-.f64 1/2 y))))
(*.f64 (/.f64 1 (-.f64 1/2 y)) (*.f64 (log.f64 2) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (/.f64 (log.f64 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (/.f64 (*.f64 (log.f64 2) x) (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 (/.f64 (*.f64 (log.f64 2) x) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) (/.f64 (sqrt.f64 (log.f64 2)) (-.f64 1/2 y)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 2)) (-.f64 1/2 y)) (/.f64 (sqrt.f64 (log.f64 2)) x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 2)) 1) (/.f64 (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (/.f64 (sqrt.f64 (log.f64 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) x) (/.f64 (cbrt.f64 (log.f64 2)) (-.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (-.f64 1/2 y)) (/.f64 (cbrt.f64 (log.f64 2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) 1) (/.f64 (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (/.f64 (cbrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (cbrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))))
(pow.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (*.f64 x (/.f64 (-.f64 1/2 y) (log.f64 2))) -1)
(pow.f64 (pow.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))) 3)
(neg.f64 (/.f64 (log.f64 2) (*.f64 x (neg.f64 (-.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y))) 2))
(log.f64 (pow.f64 2 (/.f64 x (-.f64 1/2 y))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 2 (/.f64 x (-.f64 1/2 y))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))) 1))
(log1p.f64 (-.f64 (pow.f64 2 (/.f64 x (-.f64 1/2 y))) 1))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (-.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) (/.f64 (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 2) (-.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))))) 1)
(*.f64 1 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 2)) (/.f64 1 (-.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))))
(*.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (-.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y)))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))) 2) (cbrt.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
(/.f64 1 (/.f64 (-.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (-.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y))))) (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 2)) (-.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 3)) (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (-.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 2) (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 2) (pow.f64 (log.f64 (-.f64 1/2 y)) 2)) (-.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (*.f64 x (-.f64 1/2 y)))) (pow.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) 2)) (-.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) 3) (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3)) (+.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) 2) (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 2))) (neg.f64 (-.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (-.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y)))))))
(pow.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(log.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (exp.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
(exp.f64 (log.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
(fma.f64 1 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) (sqrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) 2) (cbrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))

simplify198.0ms (1.7%)

Algorithm
egg-herbie
Rules
515×associate-*r*
489×+-commutative
467×associate-*l*
411×*-commutative
347×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088025724
1266525267
Stop Event
node limit
Counts
305 → 508
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))
(-.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (*.f64 y (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (-.f64 (*.f64 4 (/.f64 1 x)) (+.f64 2 (*.f64 -4 (/.f64 (log.f64 2) x))))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (+.f64 (*.f64 y (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (-.f64 (*.f64 4 (/.f64 1 x)) (+.f64 2 (*.f64 -4 (/.f64 (log.f64 2) x)))))) (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 4 (/.f64 1 x)) (+.f64 2 (*.f64 -4 (/.f64 (log.f64 2) x)))) 2)) (*.f64 8 (/.f64 1 x))) (+.f64 2 (*.f64 -8 (/.f64 (log.f64 2) x)))))))) 1)
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(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 3)) (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (-.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 2) (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 2) (pow.f64 (log.f64 (-.f64 1/2 y)) 2)) (-.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (*.f64 x (-.f64 1/2 y)))) (pow.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) 2)) (-.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) 3) (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3)) (+.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) 2) (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 2))) (neg.f64 (-.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (-.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y)))))))
(pow.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(log.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (exp.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
(exp.f64 (log.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
(fma.f64 1 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) (sqrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) 2) (cbrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
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))
(-.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) 1)
(expm1.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x)))))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (*.f64 y (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (-.f64 (*.f64 4 (/.f64 1 x)) (+.f64 2 (*.f64 -4 (/.f64 (log.f64 2) x))))))) 1)
(+.f64 (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (*.f64 y (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (-.f64 (/.f64 4 x) (+.f64 2 (/.f64 (*.f64 -4 (log.f64 2)) x)))))) -1)
(+.f64 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (*.f64 y (-.f64 (-.f64 (/.f64 4 x) 2) (/.f64 -4 (/.f64 x (log.f64 2)))))) (expm1.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (+.f64 (*.f64 y (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (-.f64 (*.f64 4 (/.f64 1 x)) (+.f64 2 (*.f64 -4 (/.f64 (log.f64 2) x)))))) (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 4 (/.f64 1 x)) (+.f64 2 (*.f64 -4 (/.f64 (log.f64 2) x)))) 2)) (*.f64 8 (/.f64 1 x))) (+.f64 2 (*.f64 -8 (/.f64 (log.f64 2) x)))))))) 1)
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (-.f64 (fma.f64 y (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (-.f64 (/.f64 4 x) (+.f64 2 (/.f64 (*.f64 -4 (log.f64 2)) x)))) (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (/.f64 4 x) (+.f64 2 (/.f64 (*.f64 -4 (log.f64 2)) x))) 2) (/.f64 8 x)) (+.f64 2 (*.f64 (/.f64 (log.f64 2) x) -8)))))) 1))
(+.f64 (fma.f64 y (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (-.f64 (-.f64 (/.f64 4 x) 2) (/.f64 -4 (/.f64 x (log.f64 2))))) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (*.f64 (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (-.f64 (/.f64 4 x) 2) (/.f64 -4 (/.f64 x (log.f64 2)))) 2) (/.f64 8 x)) (+.f64 2 (*.f64 (/.f64 (log.f64 2) x) -8))) (pow.f64 y 2)))) (expm1.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (+.f64 (*.f64 y (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (-.f64 (*.f64 4 (/.f64 1 x)) (+.f64 2 (*.f64 -4 (/.f64 (log.f64 2) x)))))) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 4 (/.f64 1 x)) (+.f64 2 (*.f64 -4 (/.f64 (log.f64 2) x)))) 2)) (*.f64 8 (/.f64 1 x))) (+.f64 2 (*.f64 -8 (/.f64 (log.f64 2) x)))))) (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x)))))) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 4 (/.f64 1 x)) (+.f64 2 (*.f64 -4 (/.f64 (log.f64 2) x)))) 3)) (+.f64 (*.f64 16 (/.f64 1 x)) (*.f64 (-.f64 (*.f64 4 (/.f64 1 x)) (+.f64 2 (*.f64 -4 (/.f64 (log.f64 2) x)))) (-.f64 (*.f64 8 (/.f64 1 x)) (+.f64 2 (*.f64 -8 (/.f64 (log.f64 2) x))))))) (+.f64 8/3 (*.f64 -16 (/.f64 (log.f64 2) x))))))))) 1)
(+.f64 (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (fma.f64 y (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (-.f64 (/.f64 4 x) (+.f64 2 (/.f64 (*.f64 -4 (log.f64 2)) x)))) (fma.f64 (pow.f64 y 2) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (/.f64 4 x) (+.f64 2 (/.f64 (*.f64 -4 (log.f64 2)) x))) 2) (/.f64 8 x)) (+.f64 2 (*.f64 (/.f64 (log.f64 2) x) -8)))) (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (-.f64 (fma.f64 1/6 (pow.f64 (-.f64 (/.f64 4 x) (+.f64 2 (/.f64 (*.f64 -4 (log.f64 2)) x))) 3) (+.f64 (/.f64 16 x) (*.f64 (-.f64 (/.f64 4 x) (+.f64 2 (/.f64 (*.f64 -4 (log.f64 2)) x))) (-.f64 (/.f64 8 x) (+.f64 2 (*.f64 (/.f64 (log.f64 2) x) -8)))))) (+.f64 8/3 (*.f64 (/.f64 (log.f64 2) x) -16)))))))) -1)
(+.f64 (fma.f64 y (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (-.f64 (-.f64 (/.f64 4 x) 2) (/.f64 -4 (/.f64 x (log.f64 2))))) (fma.f64 (pow.f64 y 2) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))) (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (-.f64 (/.f64 4 x) 2) (/.f64 -4 (/.f64 x (log.f64 2)))) 2) (/.f64 8 x)) (+.f64 2 (*.f64 (/.f64 (log.f64 2) x) -8)))) (*.f64 (*.f64 (pow.f64 y 3) (-.f64 (fma.f64 1/6 (pow.f64 (-.f64 (-.f64 (/.f64 4 x) 2) (/.f64 -4 (/.f64 x (log.f64 2)))) 3) (+.f64 (/.f64 16 x) (*.f64 (-.f64 (-.f64 (/.f64 4 x) 2) (/.f64 -4 (/.f64 x (log.f64 2)))) (-.f64 (/.f64 8 x) (+.f64 2 (*.f64 (/.f64 (log.f64 2) x) -8)))))) (+.f64 8/3 (*.f64 (/.f64 (log.f64 2) x) -16)))) (exp.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x)))))))) (expm1.f64 (+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (/.f64 2 x))))))
(-.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 1)
(expm1.f64 (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))))))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) (+.f64 1/2 (/.f64 1 x)))) y)) 1)
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))) (-.f64 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))) (/.f64 y (-.f64 (neg.f64 (/.f64 (log.f64 2) x)) (+.f64 1/2 (/.f64 1 x))))) 1))
(+.f64 (*.f64 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))) y) (-.f64 (-.f64 (neg.f64 (/.f64 (log.f64 2) x)) (/.f64 1 x)) 1/2)) (expm1.f64 (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))))
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(fma.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1) (log.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
(fma.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1) (log.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 x) (/.f64 (*.f64 (+.f64 (log.f64 2) 1) x) (-.f64 1/2 y))))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 x) (/.f64 x (/.f64 (-.f64 1/2 y) (+.f64 (log.f64 2) 1)))))
(fma.f64 1 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))) (log.f64 (-.f64 1/2 y)))
(fma.f64 1 (+.f64 (log.f64 x) (/.f64 (*.f64 (+.f64 (log.f64 2) 1) x) (-.f64 1/2 y))) (log.f64 (-.f64 1/2 y)))
(fma.f64 1 (+.f64 (log.f64 x) (/.f64 x (/.f64 (-.f64 1/2 y) (+.f64 (log.f64 2) 1)))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) (sqrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 (+.f64 (log.f64 2) 1) x) (-.f64 1/2 y)))) (sqrt.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 (+.f64 (log.f64 2) 1) x) (-.f64 1/2 y)))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 x) (/.f64 x (/.f64 (-.f64 1/2 y) (+.f64 (log.f64 2) 1))))) (sqrt.f64 (+.f64 (log.f64 x) (/.f64 x (/.f64 (-.f64 1/2 y) (+.f64 (log.f64 2) 1))))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (+.f64 (log.f64 x) (/.f64 (*.f64 (+.f64 (log.f64 2) 1) x) (-.f64 1/2 y))))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (+.f64 (log.f64 x) (/.f64 x (/.f64 (-.f64 1/2 y) (+.f64 (log.f64 2) 1)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) 2) (cbrt.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1)))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 (+.f64 (log.f64 2) 1) x) (-.f64 1/2 y)))) 2) (cbrt.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 (+.f64 (log.f64 2) 1) x) (-.f64 1/2 y)))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) (/.f64 x (/.f64 (-.f64 1/2 y) (+.f64 (log.f64 2) 1))))) 2) (cbrt.f64 (+.f64 (log.f64 x) (/.f64 x (/.f64 (-.f64 1/2 y) (+.f64 (log.f64 2) 1))))) (log.f64 (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (+.f64 (log.f64 x) (*.f64 (/.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) 1))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (+.f64 (log.f64 x) (/.f64 (*.f64 (+.f64 (log.f64 2) 1) x) (-.f64 1/2 y))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (+.f64 (log.f64 x) (/.f64 x (/.f64 (-.f64 1/2 y) (+.f64 (log.f64 2) 1)))))

eval369.0ms (3.2%)

Compiler

Compiled 20099 to 16048 computations (20.2% saved)

prune107.0ms (0.9%)

Pruning

16 alts after pruning (6 fresh and 10 done)

PrunedKeptTotal
New5053508
Fresh033
Picked145
Done066
Total50616522
Accuracy
99.4%
Counts
522 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(fma.f64 x (neg.f64 y) (log.f64 2))
98.4%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
92.1%
(-.f64 (log.f64 2) (*.f64 x y))
92.1%
(+.f64 (-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1)) 1)
53.8%
(+.f64 (*.f64 x (neg.f64 y)) 1)
47.8%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
47.8%
(+.f64 (log.f64 2) (*.f64 x 1/2))
36.6%
(*.f64 x (-.f64 1/2 y))
52.5%
(*.f64 x (neg.f64 y))
3.2%
(*.f64 x 1/2)
48.2%
(log1p.f64 (exp.f64 x))
48.0%
(log.f64 2)
18.7%
(expm1.f64 (+.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
5.5%
(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (cbrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))))))))
1.2%
(expm1.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x))))))
47.0%
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))
Compiler

Compiled 463 to 355 computations (23.3% saved)

regimes47.0ms (0.4%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x (neg.f64 y)) 1)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1)) 1)
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x 1/2))))
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (log1p.f64 1))
(expm1.f64 (+.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
(expm1.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 (log.f64 2) x))))))
(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (cbrt.f64 (*.f64 (log.f64 2) (/.f64 x (-.f64 1/2 y)))))))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

15.0ms
y
13.0ms
x
8.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1y
98.4%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 281 to 205 computations (27% saved)

regimes42.0ms (0.4%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x (neg.f64 y)) 1)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (-.f64 (log1p.f64 1) (+.f64 (*.f64 x y) 1)) 1)
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

2 calls:

14.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
92.1%1y
98.7%2x
Compiler

Compiled 67 to 44 computations (34.3% saved)

regimes12.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
98.6%2x
Compiler

Compiled 37 to 24 computations (35.1% saved)

regimes47.0ms (0.4%)

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

2 calls:

24.0ms
y
21.0ms
x
Results
AccuracySegmentsBranch
75.4%5y
82.6%3x
Compiler

Compiled 34 to 22 computations (35.3% saved)

regimes13.0ms (0.1%)

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

2 calls:

8.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
53.8%1y
60.2%2x
Compiler

Compiled 26 to 15 computations (42.3% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
52.5%1y
52.5%1x
Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
3.2%1x
3.2%1y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-45.85763130033191
-0.0008642527306988545
Results
18.0ms128×body256valid
Compiler

Compiled 160 to 124 computations (22.5% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
-45.85763130033191
-0.0008642527306988545
Results
17.0ms126×body256valid
0.0msbody256infinite
Compiler

Compiled 144 to 108 computations (25% saved)

bsearch29.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
4.628409766078392e-83
2.8490046601224697e-81
13.0ms
-9.589831265159664e-23
-1.980292880781226e-23
Results
27.0ms208×body256valid
Compiler

Compiled 186 to 156 computations (16.1% saved)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-45.85763130033191
-0.0008642527306988545
Results
16.0ms128×body256valid
Compiler

Compiled 144 to 108 computations (25% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×+-commutative
*-commutative
sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042288
164280
277280
382280
484280
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -30) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -4253529586511731/170141183460469231731687303715884105728) (*.f64 x (neg.f64 y)) (if (<=.f64 x 1495190925144637/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) 1)))
(if (<=.f64 x -45) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (neg.f64 y)) 1))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -30) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -4253529586511731/170141183460469231731687303715884105728) (*.f64 x (neg.f64 y)) (if (<=.f64 x 1495190925144637/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) 1)))
(if (<=.f64 x -4253529586511731/170141183460469231731687303715884105728) (*.f64 x (neg.f64 y)) (if (<=.f64 x 1495190925144637/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (log.f64 2) (-.f64 1 (*.f64 x y))))
(if (<=.f64 x -45) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (neg.f64 y)) 1))
(if (<=.f64 x -45) (*.f64 x (neg.f64 y)) (-.f64 1 (*.f64 x y)))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)
Compiler

Compiled 90 to 63 computations (30% saved)

soundness1.1s (9.8%)

Rules
713×associate-*r*
689×associate-*r*
617×+-commutative
579×associate-*l*
566×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030234
167226
2144210
3311210
4717210
51012210
61577210
73109210
85122210
057720901
1173118940
2798318940
099736713
1291636157
025174
1363158
24757158
0121646025
1354945423
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 152 to 95 computations (37.5% saved)

end0.0ms (0%)

preprocess84.0ms (0.7%)

Compiler

Compiled 234 to 136 computations (41.9% saved)

Profiling

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