Data.Colour.CIE.Chromaticity:chromaCoords from colour-2.3.3

Time bar (total: 2.2s)

analyze0.0ms (0%)

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

Compiled 8 to 6 computations (25% saved)

sample722.0ms (32.4%)

Results
710.0ms8249×body256valid
1.0ms7×body1024valid
Bogosity

preprocess48.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
524×fma-def
158×sub-neg
142×fma-neg
98×associate-+l-
86×cancel-sign-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
13965
210665
326465
450465
572265
687865
794065
894265
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 1 x) y)
(-.f64 (-.f64 1 x) y)
(-.f64 (-.f64 1 (neg.f64 x)) y)
(-.f64 (-.f64 1 x) (neg.f64 y))
(-.f64 (-.f64 1 y) x)
Outputs
(-.f64 (-.f64 1 x) y)
(-.f64 1 (+.f64 x y))
(-.f64 (-.f64 1 x) y)
(-.f64 1 (+.f64 x y))
(-.f64 (-.f64 1 (neg.f64 x)) y)
(-.f64 1 (+.f64 (neg.f64 x) y))
(+.f64 1 (-.f64 x y))
(+.f64 x (-.f64 1 y))
(-.f64 (-.f64 1 x) (neg.f64 y))
(+.f64 (-.f64 1 x) y)
(+.f64 1 (-.f64 y x))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 x y))
Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (-.f64 1 x) y)
▶100.0%
(-.f64 (-.f64 1 x) y)
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize21.0ms (1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (-.f64 1 x) y)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (-.f64 1 x) y)
0.0ms
y
@inf
(-.f64 (-.f64 1 x) y)
0.0ms
x
@0
(-.f64 (-.f64 1 x) y)
0.0ms
y
@0
(-.f64 (-.f64 1 x) y)
0.0ms
x
@-inf
(-.f64 (-.f64 1 x) y)

rewrite92.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
1794×pow1
1668×add-exp-log
1668×log1p-expm1-u
1668×expm1-log1p-u
1636×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115513
2215713
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(-.f64 (-.f64 1 x) y)
Outputs
(+.f64 1 (neg.f64 (+.f64 x y)))
(+.f64 1 (+.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 1 (-.f64 (neg.f64 x) y))
(+.f64 (-.f64 1 x) (neg.f64 y))
(+.f64 (-.f64 1 x) (*.f64 (neg.f64 y) 1))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 y) 1 y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (-.f64 1 x))
(*.f64 1 (-.f64 1 (+.f64 x y)))
(*.f64 (-.f64 1 (+.f64 x y)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 2) (cbrt.f64 (-.f64 1 (+.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) (sqrt.f64 (-.f64 1 (+.f64 x y))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y)))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (/.f64 1 (+.f64 (-.f64 1 x) y)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y))) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 x) y) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 (-.f64 1 x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 1 x) y)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (-.f64 1 x) (neg.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (-.f64 1 x) (neg.f64 y)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x y) (+.f64 x y))) (+.f64 1 (+.f64 x y)))
(pow.f64 (-.f64 1 (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 1 (+.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 x y))))
(exp.f64 (log.f64 (-.f64 1 (+.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 x y))))
(fma.f64 1 (-.f64 1 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (neg.f64 y))

simplify71.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1480×fma-neg
1354×fma-def
816×distribute-lft-in
814×distribute-rgt-in
530×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01211374
13331290
213261290
368001290
Stop Event
1×node limit
Counts
64 → 63
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(*.f64 -1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(*.f64 -1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 -1 y)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 -1 y)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(+.f64 1 (neg.f64 (+.f64 x y)))
(+.f64 1 (+.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 1 (-.f64 (neg.f64 x) y))
(+.f64 (-.f64 1 x) (neg.f64 y))
(+.f64 (-.f64 1 x) (*.f64 (neg.f64 y) 1))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 y) 1 y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (-.f64 1 x))
(*.f64 1 (-.f64 1 (+.f64 x y)))
(*.f64 (-.f64 1 (+.f64 x y)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 2) (cbrt.f64 (-.f64 1 (+.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) (sqrt.f64 (-.f64 1 (+.f64 x y))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y)))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (/.f64 1 (+.f64 (-.f64 1 x) y)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y))) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 x) y) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 (-.f64 1 x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 1 x) y)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (-.f64 1 x) (neg.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (-.f64 1 x) (neg.f64 y)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x y) (+.f64 x y))) (+.f64 1 (+.f64 x y)))
(pow.f64 (-.f64 1 (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 1 (+.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 x y))))
(exp.f64 (log.f64 (-.f64 1 (+.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 x y))))
(fma.f64 1 (-.f64 1 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (neg.f64 y))
Outputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(+.f64 1 (neg.f64 (+.f64 x y)))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(+.f64 1 (+.f64 (neg.f64 x) (neg.f64 y)))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(+.f64 1 (-.f64 (neg.f64 x) y))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(+.f64 (-.f64 1 x) (neg.f64 y))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(+.f64 (-.f64 1 x) (*.f64 (neg.f64 y) 1))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 y) 1 y))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(+.f64 (neg.f64 y) (-.f64 1 x))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(*.f64 1 (-.f64 1 (+.f64 x y)))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(*.f64 (-.f64 1 (+.f64 x y)) 1)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(*.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 2))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 2) (cbrt.f64 (-.f64 1 (+.f64 x y))))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(*.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) (sqrt.f64 (-.f64 1 (+.f64 x y))))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y)))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 y (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (fma.f64 y (+.f64 y (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (-.f64 1 x) (-.f64 1 (-.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (/.f64 1 (+.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 y (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (+.f64 -1 (-.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y))) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 y (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (fma.f64 y (+.f64 y (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (-.f64 1 x) (-.f64 1 (-.f64 x y)))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 x) y) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 y (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (+.f64 -1 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 y (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (fma.f64 y (+.f64 y (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (-.f64 1 x) (-.f64 1 (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 (-.f64 1 x) y))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 y (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (+.f64 -1 (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 1 x) y)))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 y (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (fma.f64 y (+.f64 y (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (-.f64 1 x) (-.f64 1 (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 1 x) y)))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 y (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (+.f64 -1 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (-.f64 1 x) (neg.f64 y)))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 y (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (fma.f64 y (+.f64 y (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (-.f64 1 x) (-.f64 1 (-.f64 x y)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 3)) (+.f64 1 (*.f64 (+.f64 (+.f64 1 x) y) (+.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 3)) (fma.f64 (+.f64 x (+.f64 y 1)) (+.f64 y x) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 3)) (fma.f64 (+.f64 y x) (+.f64 1 (+.f64 y x)) 1))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (-.f64 1 x) (neg.f64 y)))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 y (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (+.f64 -1 (-.f64 x y)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x y) (+.f64 x y))) (+.f64 1 (+.f64 x y)))
(/.f64 (-.f64 1 (*.f64 (+.f64 y x) (+.f64 y x))) (+.f64 (+.f64 1 x) y))
(/.f64 (-.f64 1 (*.f64 (+.f64 y x) (+.f64 y x))) (+.f64 x (+.f64 y 1)))
(/.f64 (fma.f64 (+.f64 y x) (-.f64 (neg.f64 y) x) 1) (+.f64 1 (+.f64 y x)))
(pow.f64 (-.f64 1 (+.f64 x y)) 1)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 3)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3) 1/3)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 2)
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(log.f64 (exp.f64 (-.f64 1 (+.f64 x y))))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 x y))))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(exp.f64 (log.f64 (-.f64 1 (+.f64 x y))))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 x y))))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(fma.f64 1 (-.f64 1 x) (neg.f64 y))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (neg.f64 y))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (neg.f64 y))
(-.f64 (-.f64 1 y) x)
(-.f64 1 (+.f64 y x))

eval15.0ms (0.7%)

Compiler

Compiled 777 to 470 computations (39.5% saved)

prune15.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58563
Fresh000
Picked011
Done000
Total58664
Accuracy
100.0%
Counts
64 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (-.f64 1 x) y)
▶63.5%
(-.f64 1 y)
▶63.4%
(-.f64 1 x)
▶37.3%
(neg.f64 y)
▶38.3%
(neg.f64 x)
▶60.6%
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 x y))))
✓100.0%
(-.f64 (-.f64 1 x) y)
▶63.5%
(-.f64 1 y)
▶63.4%
(-.f64 1 x)
▶37.3%
(neg.f64 y)
▶38.3%
(neg.f64 x)
▶60.6%
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 x y))))
Compiler

Compiled 122 to 94 computations (23% saved)

localize55.0ms (2.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 1 (+.f64 x y))
✓100.0%
(log1p.f64 (-.f64 1 (+.f64 x y)))
✓96.6%
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 x y))))
Compiler

Compiled 43 to 22 computations (48.8% saved)

series4.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log1p.f64 (-.f64 1 (+.f64 x y)))
0.0ms
x
@inf
(log1p.f64 (-.f64 1 (+.f64 x y)))
0.0ms
y
@inf
(log1p.f64 (-.f64 1 (+.f64 x y)))
0.0ms
y
@0
(log1p.f64 (-.f64 1 (+.f64 x y)))
0.0ms
x
@-inf
(log1p.f64 (-.f64 1 (+.f64 x y)))

rewrite83.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
1344×prod-diff
1204×unpow-prod-down
842×log-prod
592×fma-def
542×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01043
119443
2255743
Stop Event
1×node limit
Counts
3 → 227
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 x y))))
(log1p.f64 (-.f64 1 (+.f64 x y)))
(-.f64 1 (+.f64 x y))
Outputs
(+.f64 1 (neg.f64 (+.f64 x y)))
(+.f64 1 (*.f64 (neg.f64 (+.f64 x y)) 1))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 y) 1 y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 -1 y y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) y))
(+.f64 0 (-.f64 1 (+.f64 x y)))
(+.f64 (-.f64 2 (+.f64 x y)) -1)
(+.f64 (neg.f64 (+.f64 x y)) 1)
(+.f64 (-.f64 1 x) (neg.f64 y))
(+.f64 (-.f64 1 x) (*.f64 -1 y))
(+.f64 (-.f64 1 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(+.f64 (-.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (+.f64 x y)))) (cbrt.f64 (exp.f64 (-.f64 1 (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (+.f64 x y))))))
(-.f64 1 (+.f64 x y))
(-.f64 (-.f64 2 (+.f64 x y)) 1)
(-.f64 (-.f64 1 x) y)
(-.f64 (/.f64 1 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1)) (/.f64 (pow.f64 (+.f64 x y) 3) (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1)))
(-.f64 (/.f64 1 (+.f64 1 (+.f64 x y))) (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 1 (+.f64 x y))))
(-.f64 (-.f64 1 y) x)
(*.f64 1 (-.f64 1 (+.f64 x y)))
(*.f64 (-.f64 1 (+.f64 x y)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2)) (cbrt.f64 (-.f64 1 (+.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 2))
(*.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) (sqrt.f64 (-.f64 1 (+.f64 x y))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (/.f64 1 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (pow.f64 (/.f64 1 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1)) 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2)) (/.f64 1 (+.f64 1 (+.f64 x y))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2)) (pow.f64 (/.f64 1 (+.f64 1 (+.f64 x y))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 (+.f64 x y)) (cbrt.f64 (-.f64 1 (+.f64 x y)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 2))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1) (-.f64 1 (pow.f64 (+.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x y)) (-.f64 1 (pow.f64 (+.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2)) (+.f64 1 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2))) (neg.f64 (+.f64 1 (+.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 x y)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (+.f64 x y)) 2) (neg.f64 (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 3) 1) (+.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 2) (+.f64 1 (*.f64 (-.f64 2 (+.f64 x y)) 1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (fma.f64 y y (*.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (+.f64 x y)) 2)) (-.f64 1 (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 2) 1) (+.f64 (-.f64 2 (+.f64 x y)) 1))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 (-.f64 1 x) y))
(pow.f64 (-.f64 1 (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1) (-.f64 1 (pow.f64 (+.f64 x y) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 x y)) (-.f64 1 (pow.f64 (+.f64 x y) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 1 (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (+.f64 x y)))))
(log.f64 (/.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (+.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (+.f64 x y))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (+.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (+.f64 x y)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (+.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 x y))))
(fma.f64 1 (-.f64 2 (+.f64 x y)) -1)
(fma.f64 1 (neg.f64 (+.f64 x y)) 1)
(fma.f64 1 (-.f64 1 x) (neg.f64 y))
(fma.f64 1 (-.f64 1 x) (*.f64 -1 y))
(fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (neg.f64 (cbrt.f64 (+.f64 x y))) 1)
(fma.f64 (sqrt.f64 (+.f64 x y)) (neg.f64 (sqrt.f64 (+.f64 x y))) 1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (neg.f64 (+.f64 x y)))) (cbrt.f64 (neg.f64 (+.f64 x y))) 1)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) (cbrt.f64 (-.f64 2 (+.f64 x y)))) (cbrt.f64 (-.f64 2 (+.f64 x y))) -1)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (neg.f64 y))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 -1 y))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) (sqrt.f64 (neg.f64 (+.f64 x y))) 1)
(fma.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) (sqrt.f64 (-.f64 2 (+.f64 x y))) -1)
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 -1 y))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 -1 (+.f64 x y) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) 1)
(+.f64 0 (log.f64 (-.f64 2 (+.f64 x y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) (cbrt.f64 (-.f64 2 (+.f64 x y))))) (log.f64 (cbrt.f64 (-.f64 2 (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 2 (+.f64 x y)))) (log.f64 (sqrt.f64 (-.f64 2 (+.f64 x y)))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2) (-.f64 1 (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (-.f64 1 (+.f64 x y)) 2))) (log.f64 (-.f64 1 (-.f64 1 (+.f64 x y)))))
(*.f64 1 (log.f64 (-.f64 2 (+.f64 x y))))
(*.f64 (log.f64 (-.f64 2 (+.f64 x y))) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y)))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 2)) (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 2)) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 2))
(*.f64 (sqrt.f64 (log.f64 (-.f64 2 (+.f64 x y)))) (sqrt.f64 (log.f64 (-.f64 2 (+.f64 x y)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (-.f64 2 (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 2 (+.f64 x y))) (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (-.f64 2 (+.f64 x y)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 2))
(pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 2 (+.f64 x y)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 2))
(log.f64 (-.f64 2 (+.f64 x y)))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 2 (+.f64 x y))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 2 (+.f64 x y)))))
(exp.f64 (log.f64 (log.f64 (-.f64 2 (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 2 (+.f64 x y)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (-.f64 2 (+.f64 x y)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (-.f64 2 (+.f64 x y))))) 2))
(+.f64 1 (neg.f64 (+.f64 x y)))
(+.f64 1 (*.f64 (neg.f64 (+.f64 x y)) 1))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 y) 1 y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 -1 y y))
(+.f64 (-.f64 1 (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) y))
(+.f64 0 (-.f64 1 (+.f64 x y)))
(+.f64 (-.f64 2 (+.f64 x y)) -1)
(+.f64 (neg.f64 (+.f64 x y)) 1)
(+.f64 (-.f64 1 x) (neg.f64 y))
(+.f64 (-.f64 1 x) (*.f64 -1 y))
(+.f64 (-.f64 1 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(+.f64 (-.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (+.f64 x y)))) (cbrt.f64 (exp.f64 (-.f64 1 (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (+.f64 x y))))))
(*.f64 1 (-.f64 1 (+.f64 x y)))
(*.f64 (-.f64 1 (+.f64 x y)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2)) (cbrt.f64 (-.f64 1 (+.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 2))
(*.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) (sqrt.f64 (-.f64 1 (+.f64 x y))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (/.f64 1 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (pow.f64 (/.f64 1 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1)) 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2)) (/.f64 1 (+.f64 1 (+.f64 x y))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2)) (pow.f64 (/.f64 1 (+.f64 1 (+.f64 x y))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 (+.f64 x y)) (cbrt.f64 (-.f64 1 (+.f64 x y)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 2))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1) (-.f64 1 (pow.f64 (+.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x y)) (-.f64 1 (pow.f64 (+.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2)) (+.f64 1 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2))) (neg.f64 (+.f64 1 (+.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 x y)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (+.f64 x y)) 2) (neg.f64 (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 3) 1) (+.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 2) (+.f64 1 (*.f64 (-.f64 2 (+.f64 x y)) 1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (fma.f64 y y (*.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (+.f64 x y)) 2)) (-.f64 1 (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 2) 1) (+.f64 (-.f64 2 (+.f64 x y)) 1))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 (-.f64 1 x) y))
(pow.f64 (-.f64 1 (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1) (-.f64 1 (pow.f64 (+.f64 x y) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 x y)) (-.f64 1 (pow.f64 (+.f64 x y) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 1 (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (+.f64 x y)))))
(log.f64 (/.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3))
(expm1.f64 (log.f64 (-.f64 2 (+.f64 x y))))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (+.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (+.f64 x y))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (+.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (+.f64 x y)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (+.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 x y))))
(fma.f64 1 (-.f64 2 (+.f64 x y)) -1)
(fma.f64 1 (neg.f64 (+.f64 x y)) 1)
(fma.f64 1 (-.f64 1 x) (neg.f64 y))
(fma.f64 1 (-.f64 1 x) (*.f64 -1 y))
(fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (neg.f64 (cbrt.f64 (+.f64 x y))) 1)
(fma.f64 (sqrt.f64 (+.f64 x y)) (neg.f64 (sqrt.f64 (+.f64 x y))) 1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (neg.f64 (+.f64 x y)))) (cbrt.f64 (neg.f64 (+.f64 x y))) 1)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) (cbrt.f64 (-.f64 2 (+.f64 x y)))) (cbrt.f64 (-.f64 2 (+.f64 x y))) -1)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (neg.f64 y))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 -1 y))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) (sqrt.f64 (neg.f64 (+.f64 x y))) 1)
(fma.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) (sqrt.f64 (-.f64 2 (+.f64 x y))) -1)
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 -1 y))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 -1 (+.f64 x y) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) 1)

simplify119.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
1028×fma-neg
794×cancel-sign-sub-inv
670×times-frac
528×sqr-pow
412×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04328015
111277757
240007679
Stop Event
1×node limit
Counts
299 → 269
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(*.f64 -1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(*.f64 -1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 -1 y)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 -1 y)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(log.f64 (-.f64 2 y))
(+.f64 (log.f64 (-.f64 2 y)) (*.f64 -1 (/.f64 x (-.f64 2 y))))
(+.f64 (log.f64 (-.f64 2 y)) (+.f64 (*.f64 -1 (/.f64 x (-.f64 2 y))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 2)))))
(+.f64 (log.f64 (-.f64 2 y)) (+.f64 (*.f64 -1 (/.f64 x (-.f64 2 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 2))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (-.f64 2 y) x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2))))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 3)))))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (-.f64 2 y) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 3))))))
(log.f64 (-.f64 2 x))
(+.f64 (log.f64 (-.f64 2 x)) (*.f64 -1 (/.f64 y (-.f64 2 x))))
(+.f64 (log.f64 (-.f64 2 x)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 x))) (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2)))))
(+.f64 (log.f64 (-.f64 2 x)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2))) (*.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -1 (/.f64 (-.f64 2 x) y))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2))))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2))) (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3)))))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (-.f64 2 x) y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2))) (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3))))))
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 (+.f64 x y)) (cbrt.f64 (-.f64 1 (+.f64 x y)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 2))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1) (-.f64 1 (pow.f64 (+.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x y)) (-.f64 1 (pow.f64 (+.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2)) (+.f64 1 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2))) (neg.f64 (+.f64 1 (+.f64 x y))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 x y)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (+.f64 x y)) 2) (neg.f64 (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 3) 1) (+.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 2) (+.f64 1 (*.f64 (-.f64 2 (+.f64 x y)) 1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (fma.f64 y y (*.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (+.f64 x y)) 2)) (-.f64 1 (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 2) 1) (+.f64 (-.f64 2 (+.f64 x y)) 1))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 (-.f64 1 x) y))
(pow.f64 (-.f64 1 (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1) (-.f64 1 (pow.f64 (+.f64 x y) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 x y)) (-.f64 1 (pow.f64 (+.f64 x y) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 1 (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (+.f64 x y)))))
(log.f64 (/.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3))
(expm1.f64 (log.f64 (-.f64 2 (+.f64 x y))))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (+.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (+.f64 x y))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (+.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (+.f64 x y)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (+.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 x y))))
(fma.f64 1 (-.f64 2 (+.f64 x y)) -1)
(fma.f64 1 (neg.f64 (+.f64 x y)) 1)
(fma.f64 1 (-.f64 1 x) (neg.f64 y))
(fma.f64 1 (-.f64 1 x) (*.f64 -1 y))
(fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (neg.f64 (cbrt.f64 (+.f64 x y))) 1)
(fma.f64 (sqrt.f64 (+.f64 x y)) (neg.f64 (sqrt.f64 (+.f64 x y))) 1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (neg.f64 (+.f64 x y)))) (cbrt.f64 (neg.f64 (+.f64 x y))) 1)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) (cbrt.f64 (-.f64 2 (+.f64 x y)))) (cbrt.f64 (-.f64 2 (+.f64 x y))) -1)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (neg.f64 y))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 -1 y))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) (sqrt.f64 (neg.f64 (+.f64 x y))) 1)
(fma.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) (sqrt.f64 (-.f64 2 (+.f64 x y))) -1)
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 -1 y))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 -1 (+.f64 x y) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) 1)
Outputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 (+.f64 y x))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 (+.f64 y x))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 x)) y)
(-.f64 1 (+.f64 y x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 1 (+.f64 y x))
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 1 (+.f64 y x))
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 1 (+.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 y)) x)
(-.f64 1 (+.f64 y x))
(log.f64 (-.f64 2 y))
(+.f64 (log.f64 (-.f64 2 y)) (*.f64 -1 (/.f64 x (-.f64 2 y))))
(+.f64 (log.f64 (-.f64 2 y)) (/.f64 (neg.f64 x) (-.f64 2 y)))
(-.f64 (log.f64 (-.f64 2 y)) (/.f64 x (-.f64 2 y)))
(+.f64 (log.f64 (-.f64 2 y)) (+.f64 (*.f64 -1 (/.f64 x (-.f64 2 y))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 2)))))
(+.f64 (log.f64 (-.f64 2 y)) (fma.f64 -1 (/.f64 x (-.f64 2 y)) (/.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (-.f64 2 y) 2))))
(+.f64 (log.f64 (-.f64 2 y)) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (-.f64 2 y) 2) x))) (/.f64 x (-.f64 2 y))))
(-.f64 (+.f64 (log.f64 (-.f64 2 y)) (/.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)))) (/.f64 x (-.f64 2 y)))
(+.f64 (log.f64 (-.f64 2 y)) (+.f64 (*.f64 -1 (/.f64 x (-.f64 2 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 2))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3))))))
(+.f64 (log.f64 (-.f64 2 y)) (fma.f64 -1 (/.f64 x (-.f64 2 y)) (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 2)) (/.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 3)))))
(+.f64 (log.f64 (-.f64 2 y)) (-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (-.f64 2 y) 2) x)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3)))) (/.f64 x (-.f64 2 y))))
(+.f64 (-.f64 (log.f64 (-.f64 2 y)) (/.f64 x (-.f64 2 y))) (fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (-.f64 2 y) 2) x)) (*.f64 -1/3 (pow.f64 (/.f64 x (-.f64 2 y)) 3))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (log.f64 x))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (-.f64 2 y) x))))
(+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (/.f64 (-.f64 2 y) x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 x) (/.f64 (-.f64 2 y) x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (/.f64 (+.f64 -2 y) x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2))))))
(+.f64 (log.f64 -1) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (-.f64 2 y) x) (/.f64 (*.f64 -1/2 (pow.f64 (-.f64 2 y) 2)) (*.f64 x x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x))) (/.f64 (-.f64 2 y) x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)) (/.f64 (+.f64 -2 y) x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 3)))))))
(+.f64 (log.f64 -1) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (-.f64 2 y) x) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)) (/.f64 (*.f64 -1/3 (pow.f64 (-.f64 2 y) 3)) (pow.f64 x 3))))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)) (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 3)))) (/.f64 (-.f64 2 y) x))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (log.f64 x) (/.f64 (+.f64 -2 y) x)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)) (/.f64 -1/3 (pow.f64 (/.f64 x (-.f64 2 y)) 3)))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (-.f64 2 y) x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (-.f64 2 y) x)))
(-.f64 (/.f64 (neg.f64 (-.f64 2 y)) x) (log.f64 (/.f64 -1 x)))
(-.f64 (/.f64 (+.f64 -2 y) x) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (/.f64 (-.f64 2 y) x) (/.f64 (*.f64 -1/2 (pow.f64 (-.f64 2 y) 2)) (*.f64 x x))))
(-.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x))) (/.f64 (-.f64 2 y) x)) (log.f64 (/.f64 -1 x)))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)) (/.f64 (+.f64 -2 y) x)) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 3))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (/.f64 (-.f64 2 y) x) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)) (/.f64 (*.f64 -1/3 (pow.f64 (-.f64 2 y) 3)) (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)) (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 3)))) (/.f64 (-.f64 2 y) x)) (log.f64 (/.f64 -1 x)))
(+.f64 (/.f64 (+.f64 -2 y) x) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)) (/.f64 -1/3 (pow.f64 (/.f64 x (-.f64 2 y)) 3))) (log.f64 (/.f64 -1 x))))
(log.f64 (-.f64 2 x))
(+.f64 (log.f64 (-.f64 2 x)) (*.f64 -1 (/.f64 y (-.f64 2 x))))
(+.f64 (log.f64 (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 x)))
(-.f64 (log.f64 (-.f64 2 x)) (/.f64 y (-.f64 2 x)))
(+.f64 (log.f64 (-.f64 2 x)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 x))) (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2)))))
(+.f64 (log.f64 (-.f64 2 x)) (fma.f64 -1 (/.f64 y (-.f64 2 x)) (/.f64 (*.f64 -1/2 (*.f64 y y)) (pow.f64 (-.f64 2 x) 2))))
(+.f64 (log.f64 (-.f64 2 x)) (-.f64 (*.f64 -1/2 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 2))) (/.f64 y (-.f64 2 x))))
(-.f64 (+.f64 (log.f64 (-.f64 2 x)) (/.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))) (/.f64 y (-.f64 2 x)))
(+.f64 (log.f64 (-.f64 2 x)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2))) (*.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3))))))
(+.f64 (log.f64 (-.f64 2 x)) (fma.f64 -1 (/.f64 y (-.f64 2 x)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 2)) (/.f64 (*.f64 -1/3 (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 3)))))
(+.f64 (log.f64 (-.f64 2 x)) (-.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 2)) (*.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3)))) (/.f64 y (-.f64 2 x))))
(+.f64 (-.f64 (log.f64 (-.f64 2 x)) (/.f64 y (-.f64 2 x))) (fma.f64 -1/2 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 2)) (*.f64 -1/3 (pow.f64 (/.f64 y (-.f64 2 x)) 3))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 -1) (log.f64 y))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -1 (/.f64 (-.f64 2 x) y))))
(+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (neg.f64 (log.f64 y)) (/.f64 (-.f64 2 x) y))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 y) (/.f64 (-.f64 2 x) y)))
(+.f64 (log.f64 y) (+.f64 (/.f64 (+.f64 -2 x) y) (log.f64 -1)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2))))))
(+.f64 (log.f64 -1) (fma.f64 -1 (neg.f64 (log.f64 y)) (fma.f64 -1 (/.f64 (-.f64 2 x) y) (/.f64 (*.f64 -1/2 (pow.f64 (-.f64 2 x) 2)) (*.f64 y y)))))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 2)) (+.f64 1 (+.f64 y x)))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (+.f64 x y)))
(-.f64 1 (+.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(-.f64 1 (+.f64 y x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(-.f64 1 (+.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(*.f64 (cbrt.f64 (-.f64 1 (+.f64 y x))) (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 y x)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 3))
(-.f64 1 (+.f64 y x))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 y x)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 y x)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 y x)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 y x)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1 (+.f64 x y)) (cbrt.f64 (-.f64 1 (+.f64 x y)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 y x)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (+.f64 y x)) (cbrt.f64 (-.f64 1 (+.f64 y x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 y x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 y x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (+.f64 y x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 y x))) 8)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (+.f64 y x)))) (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 y x)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (+.f64 x y)))) 2))
(-.f64 1 (+.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (+.f64 x y)))) 2))
(*.f64 (cbrt.f64 (-.f64 1 (+.f64 y x))) (cbrt.f64 (pow.f64 (-.f64 1 (+.f64 y x)) 2)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1) (-.f64 1 (pow.f64 (+.f64 x y) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 3)) (fma.f64 (+.f64 y x) (+.f64 1 (+.f64 y x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x y)) (-.f64 1 (pow.f64 (+.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 2)) (+.f64 1 (+.f64 y x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3)) (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 3)) (fma.f64 (+.f64 y x) (+.f64 1 (+.f64 y x)) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2)) (+.f64 1 (+.f64 x y)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 2)) (+.f64 1 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x y) 3))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 3)) (fma.f64 (+.f64 y x) (+.f64 1 (+.f64 y x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x y) 2))) (neg.f64 (+.f64 1 (+.f64 x y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 2)) (+.f64 1 (+.f64 y x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 x y)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (+.f64 x y)) 2) (neg.f64 (+.f64 x y)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 3)) (fma.f64 (+.f64 y x) (+.f64 1 (+.f64 y x)) 1))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 3) 1) (+.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 2) (+.f64 1 (*.f64 (-.f64 2 (+.f64 x y)) 1))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 (+.f64 y x)) 3) -1) (+.f64 (pow.f64 (-.f64 2 (+.f64 y x)) 2) (+.f64 1 (-.f64 2 (+.f64 y x)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (+.f64 y x)) 3)) (+.f64 (pow.f64 (-.f64 2 (+.f64 y x)) 2) (-.f64 3 (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (fma.f64 y y (*.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (fma.f64 y y (*.f64 y (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (-.f64 (+.f64 y 1) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (+.f64 (-.f64 y x) 1))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (+.f64 x y)) 2)) (-.f64 1 (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 2)) (+.f64 1 (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (+.f64 x y)) 2) 1) (+.f64 (-.f64 2 (+.f64 x y)) 1))
(/.f64 (+.f64 (pow.f64 (-.f64 2 (+.f64 y x)) 2) -1) (+.f64 1 (-.f64 2 (+.f64 y x))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (+.f64 y x)) 2)) (-.f64 3 (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 (-.f64 1 x) y))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 y (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (-.f64 (+.f64 y 1) x))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y y)) (+.f64 (-.f64 y x) 1))
(pow.f64 (-.f64 1 (+.f64 x y)) 1)
(-.f64 1 (+.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 1 (+.f64 x y))) 3)
(-.f64 1 (+.f64 y x))
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2) 1/2)
(-.f64 1 (+.f64 y x))
(pow.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3) 1/3)
(-.f64 1 (+.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 1 (+.f64 x y))) 2)
(-.f64 1 (+.f64 y x))
(pow.f64 (/.f64 (fma.f64 (+.f64 x y) (+.f64 1 (+.f64 x y)) 1) (-.f64 1 (pow.f64 (+.f64 x y) 3))) -1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 3)) (fma.f64 (+.f64 y x) (+.f64 1 (+.f64 y x)) 1))
(pow.f64 (/.f64 (+.f64 1 (+.f64 x y)) (-.f64 1 (pow.f64 (+.f64 x y) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 y x) 2)) (+.f64 1 (+.f64 y x)))
(sqrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 2))
(-.f64 1 (+.f64 y x))
(log.f64 (exp.f64 (-.f64 1 (+.f64 x y))))
(-.f64 1 (+.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (+.f64 x y)))))
(-.f64 1 (+.f64 y x))
(log.f64 (/.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 y))))
(-.f64 1 (+.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 1 (+.f64 x y)) 3))
(-.f64 1 (+.f64 y x))
(expm1.f64 (log.f64 (-.f64 2 (+.f64 x y))))
(expm1.f64 (log.f64 (-.f64 2 (+.f64 y x))))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 x y))))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 y x))))
(exp.f64 (log1p.f64 (-.f64 (neg.f64 y) x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (+.f64 x y))) 1))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 y x))))
(exp.f64 (log1p.f64 (-.f64 (neg.f64 y) x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (+.f64 x y))) 1) 1))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 y x))))
(exp.f64 (log1p.f64 (-.f64 (neg.f64 y) x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (+.f64 x y)))) 3))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 y x))))
(exp.f64 (log1p.f64 (-.f64 (neg.f64 y) x)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (+.f64 x y)))) 1/3))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 y x))))
(exp.f64 (log1p.f64 (-.f64 (neg.f64 y) x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (+.f64 x y)))) 2))
(exp.f64 (log1p.f64 (neg.f64 (+.f64 y x))))
(exp.f64 (log1p.f64 (-.f64 (neg.f64 y) x)))
(log1p.f64 (expm1.f64 (-.f64 1 (+.f64 x y))))
(-.f64 1 (+.f64 y x))
(fma.f64 1 (-.f64 2 (+.f64 x y)) -1)
(-.f64 1 (+.f64 y x))
(fma.f64 1 (neg.f64 (+.f64 x y)) 1)
(-.f64 1 (+.f64 y x))
(fma.f64 1 (-.f64 1 x) (neg.f64 y))
(-.f64 1 (+.f64 y x))
(fma.f64 1 (-.f64 1 x) (*.f64 -1 y))
(-.f64 1 (+.f64 y x))
(fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(+.f64 (-.f64 1 x) (*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 (*.f64 y y)))))
(-.f64 (-.f64 1 x) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(-.f64 1 (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (neg.f64 (cbrt.f64 (+.f64 x y))) 1)
(-.f64 1 (+.f64 y x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (neg.f64 (sqrt.f64 (+.f64 x y))) 1)
(-.f64 1 (+.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (neg.f64 (+.f64 x y)))) (cbrt.f64 (neg.f64 (+.f64 x y))) 1)
(-.f64 1 (+.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) (cbrt.f64 (-.f64 2 (+.f64 x y)))) (cbrt.f64 (-.f64 2 (+.f64 x y))) -1)
(-.f64 1 (+.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (neg.f64 y))
(-.f64 1 (+.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 -1 y))
(-.f64 1 (+.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(+.f64 (-.f64 1 x) (*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 (*.f64 y y)))))
(-.f64 (-.f64 1 x) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(-.f64 1 (+.f64 y x))
(fma.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) (sqrt.f64 (neg.f64 (+.f64 x y))) 1)
(-.f64 1 (+.f64 y x))
(fma.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) (sqrt.f64 (-.f64 2 (+.f64 x y))) -1)
(-.f64 1 (+.f64 y x))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (neg.f64 y))
(-.f64 1 (+.f64 y x))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 -1 y))
(-.f64 1 (+.f64 y x))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(+.f64 (-.f64 1 x) (*.f64 (cbrt.f64 y) (neg.f64 (cbrt.f64 (*.f64 y y)))))
(-.f64 (-.f64 1 x) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(-.f64 1 (+.f64 y x))
(fma.f64 -1 (+.f64 x y) 1)
(-.f64 1 (+.f64 y x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)) 1)
(-.f64 1 (+.f64 y x))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) 1)
(-.f64 1 (+.f64 y x))

eval84.0ms (3.8%)

Compiler

Compiled 4511 to 3001 computations (33.5% saved)

prune40.0ms (1.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2681269
Fresh000
Picked145
Done011
Total2696275
Accuracy
100.0%
Counts
275 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (-.f64 1 x) y)
✓63.5%
(-.f64 1 y)
✓63.4%
(-.f64 1 x)
✓37.3%
(neg.f64 y)
✓38.3%
(neg.f64 x)
▶27.5%
(expm1.f64 (log.f64 (-.f64 2 y)))
✓100.0%
(-.f64 (-.f64 1 x) y)
✓63.5%
(-.f64 1 y)
✓63.4%
(-.f64 1 x)
✓37.3%
(neg.f64 y)
✓38.3%
(neg.f64 x)
▶27.5%
(expm1.f64 (log.f64 (-.f64 2 y)))
Compiler

Compiled 64 to 50 computations (21.9% saved)

localize34.0ms (1.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(log.f64 (-.f64 2 y))
✓99.7%
(expm1.f64 (log.f64 (-.f64 2 y)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series20.0ms (0.9%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@0
(expm1.f64 (log.f64 (-.f64 2 y)))
7.0ms
y
@inf
(expm1.f64 (log.f64 (-.f64 2 y)))
6.0ms
y
@-inf
(expm1.f64 (log.f64 (-.f64 2 y)))
0.0ms
y
@inf
(log.f64 (-.f64 2 y))
0.0ms
y
@0
(log.f64 (-.f64 2 y))

rewrite62.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
1620×pow1
1498×add-exp-log
1496×log1p-expm1-u
1494×expm1-log1p-u
1468×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
116324
2198524
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(expm1.f64 (log.f64 (-.f64 2 y)))
(log.f64 (-.f64 2 y))
Outputs
(+.f64 2 (-.f64 (neg.f64 y) 1))
(+.f64 (-.f64 2 y) -1)
(-.f64 2 (+.f64 y 1))
(-.f64 (-.f64 2 y) 1)
(*.f64 (-.f64 2 (+.f64 y 1)) 1)
(*.f64 1 (-.f64 2 (+.f64 y 1)))
(*.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) 2) (cbrt.f64 (-.f64 2 (+.f64 y 1))))
(*.f64 (sqrt.f64 (-.f64 2 (+.f64 y 1))) (sqrt.f64 (-.f64 2 (+.f64 y 1))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 2 y)) 1) (-.f64 (sqrt.f64 (-.f64 2 y)) 1))
(/.f64 (-.f64 (pow.f64 (-.f64 2 y) 3) 1) (+.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 1 (-.f64 2 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 y) 2) 1) (+.f64 (-.f64 2 y) 1))
(pow.f64 (-.f64 2 (+.f64 y 1)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) 3)
(pow.f64 (pow.f64 (-.f64 2 (+.f64 y 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 (+.f64 y 1))) 2)
(sqrt.f64 (pow.f64 (-.f64 2 (+.f64 y 1)) 2))
(log.f64 (exp.f64 (-.f64 2 (+.f64 y 1))))
(cbrt.f64 (pow.f64 (-.f64 2 (+.f64 y 1)) 3))
(exp.f64 (log.f64 (-.f64 2 (+.f64 y 1))))
(log1p.f64 (expm1.f64 (-.f64 2 (+.f64 y 1))))
(fma.f64 1 (-.f64 2 y) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 y)) 2) (cbrt.f64 (-.f64 2 y)) -1)
(fma.f64 (sqrt.f64 (-.f64 2 y)) (sqrt.f64 (-.f64 2 y)) -1)
(+.f64 0 (log.f64 (-.f64 2 y)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 2 y))) (log.f64 (sqrt.f64 (-.f64 2 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 2 y)) 2)) (log.f64 (cbrt.f64 (-.f64 2 y))))
(-.f64 (log.f64 (-.f64 8 (pow.f64 y 3))) (log.f64 (+.f64 4 (*.f64 y (+.f64 2 y)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 y y))) (log.f64 (+.f64 2 y)))
(-.f64 (+.f64 1 (log.f64 (-.f64 2 y))) 1)
(*.f64 (log.f64 (-.f64 2 y)) 1)
(*.f64 1 (log.f64 (-.f64 2 y)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) 2) (cbrt.f64 (log.f64 (-.f64 2 y))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 2 y))) (sqrt.f64 (log.f64 (-.f64 2 y))))
(pow.f64 (log.f64 (-.f64 2 y)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 2 y))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 2 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 2 y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 2 y))))
(exp.f64 (log.f64 (log.f64 (-.f64 2 y))))
(log1p.f64 (-.f64 2 (+.f64 y 1)))

simplify60.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
858×fma-def
646×fma-neg
634×distribute-rgt-in
626×distribute-lft-in
626×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01531188
1364992
21196960
35364956
Stop Event
1×node limit
Counts
68 → 107
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (*.f64 -1 y))
(-.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) y))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) y))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) y))) 1)
(-.f64 (pow.f64 (/.f64 -1 y) -1) 1)
(+.f64 1 (pow.f64 (/.f64 -1 y) -1))
(+.f64 1 (pow.f64 (/.f64 -1 y) -1))
(+.f64 1 (pow.f64 (/.f64 -1 y) -1))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/2 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/2 y) (*.f64 -1/8 (pow.f64 y 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 8/3 (/.f64 1 (pow.f64 y 3))))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 2 (/.f64 1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 8/3 (/.f64 1 (pow.f64 y 3))))))
(+.f64 2 (-.f64 (neg.f64 y) 1))
(+.f64 (-.f64 2 y) -1)
(-.f64 2 (+.f64 y 1))
(-.f64 (-.f64 2 y) 1)
(*.f64 (-.f64 2 (+.f64 y 1)) 1)
(*.f64 1 (-.f64 2 (+.f64 y 1)))
(*.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) 2) (cbrt.f64 (-.f64 2 (+.f64 y 1))))
(*.f64 (sqrt.f64 (-.f64 2 (+.f64 y 1))) (sqrt.f64 (-.f64 2 (+.f64 y 1))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 2 y)) 1) (-.f64 (sqrt.f64 (-.f64 2 y)) 1))
(/.f64 (-.f64 (pow.f64 (-.f64 2 y) 3) 1) (+.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 1 (-.f64 2 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 y) 2) 1) (+.f64 (-.f64 2 y) 1))
(pow.f64 (-.f64 2 (+.f64 y 1)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) 3)
(pow.f64 (pow.f64 (-.f64 2 (+.f64 y 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 (+.f64 y 1))) 2)
(sqrt.f64 (pow.f64 (-.f64 2 (+.f64 y 1)) 2))
(log.f64 (exp.f64 (-.f64 2 (+.f64 y 1))))
(cbrt.f64 (pow.f64 (-.f64 2 (+.f64 y 1)) 3))
(exp.f64 (log.f64 (-.f64 2 (+.f64 y 1))))
(log1p.f64 (expm1.f64 (-.f64 2 (+.f64 y 1))))
(fma.f64 1 (-.f64 2 y) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 y)) 2) (cbrt.f64 (-.f64 2 y)) -1)
(fma.f64 (sqrt.f64 (-.f64 2 y)) (sqrt.f64 (-.f64 2 y)) -1)
(+.f64 0 (log.f64 (-.f64 2 y)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 2 y))) (log.f64 (sqrt.f64 (-.f64 2 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 2 y)) 2)) (log.f64 (cbrt.f64 (-.f64 2 y))))
(-.f64 (log.f64 (-.f64 8 (pow.f64 y 3))) (log.f64 (+.f64 4 (*.f64 y (+.f64 2 y)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 y y))) (log.f64 (+.f64 2 y)))
(-.f64 (+.f64 1 (log.f64 (-.f64 2 y))) 1)
(*.f64 (log.f64 (-.f64 2 y)) 1)
(*.f64 1 (log.f64 (-.f64 2 y)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) 2) (cbrt.f64 (log.f64 (-.f64 2 y))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 2 y))) (sqrt.f64 (log.f64 (-.f64 2 y))))
(pow.f64 (log.f64 (-.f64 2 y)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 2 y))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 2 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 2 y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 2 y))))
(exp.f64 (log.f64 (log.f64 (-.f64 2 y))))
(log1p.f64 (-.f64 2 (+.f64 y 1)))
Outputs
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(-.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1)
(expm1.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))
(fma.f64 -1 (exp.f64 (log.f64 y)) -1)
(-.f64 -1 y)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) y))) 1)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) y))) 1)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) y))) 1)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(-.f64 (pow.f64 (/.f64 -1 y) -1) 1)
(expm1.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))
(fma.f64 -1 (exp.f64 (log.f64 y)) -1)
(-.f64 -1 y)
(+.f64 1 (pow.f64 (/.f64 -1 y) -1))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 1 (pow.f64 (/.f64 -1 y) -1))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 1 (pow.f64 (/.f64 -1 y) -1))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/2 y))
(+.f64 (log.f64 2) (*.f64 y -1/2))
(fma.f64 y -1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/2 y) (*.f64 -1/8 (pow.f64 y 2))))
(+.f64 (log.f64 2) (fma.f64 -1/2 y (*.f64 -1/8 (*.f64 y y))))
(+.f64 (log.f64 2) (fma.f64 y -1/2 (*.f64 -1/8 (*.f64 y y))))
(fma.f64 y -1/2 (fma.f64 y (*.f64 y -1/8) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 2) (fma.f64 -1/2 y (fma.f64 -1/8 (*.f64 y y) (*.f64 -1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 2) (fma.f64 y -1/2 (fma.f64 -1/8 (*.f64 y y) (*.f64 -1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 2) (fma.f64 y -1/2 (*.f64 (*.f64 y y) (+.f64 -1/8 (*.f64 y -1/24)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 -1) (log.f64 y))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 2 (/.f64 1 y)))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 2 y)))
(+.f64 (log.f64 y) (+.f64 (log.f64 -1) (/.f64 -2 y)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (/.f64 2 y) (/.f64 2 (*.f64 y y)))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 y) (+.f64 (/.f64 2 y) (/.f64 2 (*.f64 y y)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 y) (+.f64 (/.f64 -2 y) (/.f64 -2 (*.f64 y y)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 8/3 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (+.f64 (+.f64 (/.f64 2 y) (/.f64 2 (*.f64 y y))) (/.f64 8/3 (pow.f64 y 3))))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (log.f64 y) (+.f64 (/.f64 2 y) (/.f64 2 (*.f64 y y)))) (/.f64 8/3 (pow.f64 y 3))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (log.f64 y) (/.f64 -2 y)) (+.f64 (/.f64 -2 (*.f64 y y)) (/.f64 -8/3 (pow.f64 y 3)))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(neg.f64 (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 2 (/.f64 1 y)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (/.f64 2 y))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -2 y))
(-.f64 (/.f64 -2 y) (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 2 y) (/.f64 2 (*.f64 y y))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -2 y)) (/.f64 2 (*.f64 y y)))
(+.f64 (-.f64 (/.f64 -2 y) (log.f64 (/.f64 -1 y))) (/.f64 -2 (*.f64 y y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 8/3 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 2 y) (/.f64 2 (*.f64 y y))) (/.f64 8/3 (pow.f64 y 3))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -2 y)) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 8/3 (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 -2 y) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 -2 (*.f64 y y)) (/.f64 -8/3 (pow.f64 y 3))))
(+.f64 2 (-.f64 (neg.f64 y) 1))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 (-.f64 2 y) -1)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(-.f64 2 (+.f64 y 1))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(-.f64 (-.f64 2 y) 1)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(*.f64 (-.f64 2 (+.f64 y 1)) 1)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(*.f64 1 (-.f64 2 (+.f64 y 1)))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(*.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) 2))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) 2) (cbrt.f64 (-.f64 2 (+.f64 y 1))))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(*.f64 (sqrt.f64 (-.f64 2 (+.f64 y 1))) (sqrt.f64 (-.f64 2 (+.f64 y 1))))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(*.f64 (+.f64 (sqrt.f64 (-.f64 2 y)) 1) (-.f64 (sqrt.f64 (-.f64 2 y)) 1))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(/.f64 (-.f64 (pow.f64 (-.f64 2 y) 3) 1) (+.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 1 (-.f64 2 y))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 y) 3) -1) (+.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 3 y)))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 y) 3)) (+.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 3 y)))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 y) 3)) (fma.f64 (-.f64 2 y) (-.f64 3 y) 1))
(/.f64 (-.f64 (pow.f64 (-.f64 2 y) 2) 1) (+.f64 (-.f64 2 y) 1))
(/.f64 (+.f64 (pow.f64 (-.f64 2 y) 2) -1) (-.f64 3 y))
(/.f64 (*.f64 (-.f64 3 y) (-.f64 1 y)) (-.f64 3 y))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 y) 2)) (-.f64 3 y))
(pow.f64 (-.f64 2 (+.f64 y 1)) 1)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(pow.f64 (cbrt.f64 (-.f64 2 (+.f64 y 1))) 3)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(pow.f64 (pow.f64 (-.f64 2 (+.f64 y 1)) 3) 1/3)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(pow.f64 (sqrt.f64 (-.f64 2 (+.f64 y 1))) 2)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(sqrt.f64 (pow.f64 (-.f64 2 (+.f64 y 1)) 2))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(log.f64 (exp.f64 (-.f64 2 (+.f64 y 1))))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(cbrt.f64 (pow.f64 (-.f64 2 (+.f64 y 1)) 3))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(exp.f64 (log.f64 (-.f64 2 (+.f64 y 1))))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(log1p.f64 (expm1.f64 (-.f64 2 (+.f64 y 1))))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(fma.f64 1 (-.f64 2 y) -1)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 y)) 2) (cbrt.f64 (-.f64 2 y)) -1)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(fma.f64 (sqrt.f64 (-.f64 2 y)) (sqrt.f64 (-.f64 2 y)) -1)
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 0 (log.f64 (-.f64 2 y)))
(log.f64 (-.f64 2 y))
(+.f64 (log.f64 (sqrt.f64 (-.f64 2 y))) (log.f64 (sqrt.f64 (-.f64 2 y))))
(log.f64 (-.f64 2 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 2 y)) 2)) (log.f64 (cbrt.f64 (-.f64 2 y))))
(log.f64 (-.f64 2 y))
(-.f64 (log.f64 (-.f64 8 (pow.f64 y 3))) (log.f64 (+.f64 4 (*.f64 y (+.f64 2 y)))))
(-.f64 (log.f64 (-.f64 8 (pow.f64 y 3))) (log.f64 (+.f64 4 (*.f64 y (+.f64 y 2)))))
(-.f64 (log.f64 (-.f64 8 (pow.f64 y 3))) (log.f64 (fma.f64 y (+.f64 y 2) 4)))
(-.f64 (log.f64 (-.f64 4 (*.f64 y y))) (log.f64 (+.f64 2 y)))
(-.f64 (log.f64 (-.f64 4 (*.f64 y y))) (log.f64 (+.f64 y 2)))
(-.f64 (+.f64 1 (log.f64 (-.f64 2 y))) 1)
(log.f64 (-.f64 2 y))
(*.f64 (log.f64 (-.f64 2 y)) 1)
(log.f64 (-.f64 2 y))
(*.f64 1 (log.f64 (-.f64 2 y)))
(log.f64 (-.f64 2 y))
(*.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) 2))
(log.f64 (-.f64 2 y))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) 2) (cbrt.f64 (log.f64 (-.f64 2 y))))
(log.f64 (-.f64 2 y))
(*.f64 (sqrt.f64 (log.f64 (-.f64 2 y))) (sqrt.f64 (log.f64 (-.f64 2 y))))
(log.f64 (-.f64 2 y))
(pow.f64 (log.f64 (-.f64 2 y)) 1)
(log.f64 (-.f64 2 y))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 2 y))) 3)
(log.f64 (-.f64 2 y))
(pow.f64 (pow.f64 (log.f64 (-.f64 2 y)) 3) 1/3)
(log.f64 (-.f64 2 y))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 2 y))) 2)
(log.f64 (-.f64 2 y))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 2 y)) 2))
(log.f64 (-.f64 2 y))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 2 y)) 3))
(log.f64 (-.f64 2 y))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 2 y))))
(log.f64 (-.f64 2 y))
(exp.f64 (log.f64 (log.f64 (-.f64 2 y))))
(log.f64 (-.f64 2 y))
(log1p.f64 (-.f64 2 (+.f64 y 1)))
(log1p.f64 (+.f64 -1 (-.f64 2 y)))
(log1p.f64 (-.f64 1 y))

eval35.0ms (1.6%)

Compiler

Compiled 1234 to 978 computations (20.7% saved)

prune45.0ms (2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1061107
Fresh000
Picked011
Done055
Total1067113
Accuracy
100.0%
Counts
113 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (-.f64 1 x) y)
✓63.5%
(-.f64 1 y)
✓63.4%
(-.f64 1 x)
✓37.3%
(neg.f64 y)
✓38.3%
(neg.f64 x)
✓27.5%
(expm1.f64 (log.f64 (-.f64 2 y)))
27.9%
1
✓100.0%
(-.f64 (-.f64 1 x) y)
✓63.5%
(-.f64 1 y)
✓63.4%
(-.f64 1 x)
✓37.3%
(neg.f64 y)
✓38.3%
(neg.f64 x)
✓27.5%
(expm1.f64 (log.f64 (-.f64 2 y)))
27.9%
1
Compiler

Compiled 70 to 56 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (-.f64 1 x) y)
✓63.5%
(-.f64 1 y)
✓63.4%
(-.f64 1 x)
✓37.3%
(neg.f64 y)
✓38.3%
(neg.f64 x)
✓27.5%
(expm1.f64 (log.f64 (-.f64 2 y)))
27.9%
1
Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes23.0ms (1%)

Counts
8 → 1
Calls
Call 1
Inputs
1
(neg.f64 x)
(neg.f64 y)
(-.f64 1 x)
(-.f64 1 y)
(-.f64 (-.f64 1 x) y)
(expm1.f64 (log.f64 (-.f64 2 y)))
(expm1.f64 (log1p.f64 (-.f64 1 (+.f64 x y))))
Outputs
(-.f64 (-.f64 1 x) y)
Calls

4 calls:

7.0ms
x
6.0ms
y
5.0ms
(-.f64 (-.f64 1 x) y)
4.0ms
(-.f64 1 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (-.f64 1 x) y)
100.0%1(-.f64 1 x)
Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes25.0ms (1.1%)

Counts
5 → 2
Calls
Call 1
Inputs
1
(neg.f64 x)
(neg.f64 y)
(-.f64 1 x)
(-.f64 1 y)
Outputs
(-.f64 1 y)
(-.f64 1 x)
Calls

3 calls:

9.0ms
x
9.0ms
y
5.0ms
(-.f64 1 x)
Results
AccuracySegmentsBranch
91.1%2x
91.1%2y
91.1%2(-.f64 1 x)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes40.0ms (1.8%)

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

3 calls:

26.0ms
x
8.0ms
y
5.0ms
(-.f64 1 x)
Results
AccuracySegmentsBranch
91.1%2y
78.4%6x
69.6%2(-.f64 1 x)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes42.0ms (1.9%)

Counts
3 → 4
Calls
Call 1
Inputs
1
(neg.f64 x)
(neg.f64 y)
Outputs
(neg.f64 x)
1
(neg.f64 x)
(neg.f64 y)
Calls

2 calls:

28.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
77.2%7x
73.6%4y
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes17.0ms (0.8%)

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

2 calls:

9.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
61.9%2x
46.2%3y
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
1
Outputs
1
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
27.9%1y
27.9%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000001035
1.0000000000002156
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch8.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.826975217770356e+49
4.193303939708798e+49
Results
6.0ms80×body256valid
Compiler

Compiled 67 to 54 computations (19.4% saved)

bsearch65.0ms (2.9%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
44.0ms
1.826975217770356e+49
4.193303939708798e+49
14.0ms
1.3367448327249037e-19
9.061797152338407e-10
7.0ms
1.4958047659426002e-265
5.411059530140561e-265
Results
61.0ms320×body256valid
Compiler

Compiled 197 to 169 computations (14.2% saved)

bsearch13.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-4548.071673432157
-3.838269981449721e-6
Results
11.0ms140×body256valid
0.0ms3×body1024valid
0.0ms1×body512valid
Compiler

Compiled 93 to 81 computations (12.9% saved)

simplify10.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032122
141122
248122
350122
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 1 x) y)
(if (<=.f64 (-.f64 1 x) 4503599627371397/4503599627370496) (-.f64 1 y) (-.f64 1 x))
(if (<=.f64 y 19999999999999998929805538950963586393744829579264) (-.f64 1 x) (neg.f64 y))
(if (<=.f64 y 4719536086477339/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (neg.f64 x) (if (<=.f64 y 2028240960365167/40564819207303340847894502572032) 1 (if (<=.f64 y 30000000000000002288930952327566100988489491283968) (neg.f64 x) (neg.f64 y))))
(if (<=.f64 x -1) (neg.f64 x) 1)
1
Outputs
(-.f64 (-.f64 1 x) y)
(if (<=.f64 (-.f64 1 x) 4503599627371397/4503599627370496) (-.f64 1 y) (-.f64 1 x))
(if (<=.f64 y 19999999999999998929805538950963586393744829579264) (-.f64 1 x) (neg.f64 y))
(if (<=.f64 y 4719536086477339/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (neg.f64 x) (if (<=.f64 y 2028240960365167/40564819207303340847894502572032) 1 (if (<=.f64 y 30000000000000002288930952327566100988489491283968) (neg.f64 x) (neg.f64 y))))
(if (<=.f64 x -1) (neg.f64 x) 1)
1
Compiler

Compiled 65 to 48 computations (26.2% saved)

soundness297.0ms (13.3%)

Rules
1794×pow1
1668×add-exp-log
1668×log1p-expm1-u
1668×expm1-log1p-u
1636×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115513
2215713
01211374
13331290
213261290
368001290
01211374
13331290
213261290
368001290
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 35 to 25 computations (28.6% saved)

end0.0ms (0%)

preprocess51.0ms (2.3%)

Remove

(sort x y)

Compiler

Compiled 138 to 92 computations (33.3% saved)

Profiling

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