Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 3.6s)

analyze22.0ms (0.6%)

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
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.0s (29.3%)

Results
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Bogosity

preprocess169.0ms (4.7%)

Algorithm
egg-herbie
Rules
1112×associate-/l*
948×associate-*r/
900×distribute-lft-neg-in
796×distribute-rgt-neg-in
764×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
730-3(5.167896170204913e-229 1.3399324622351712e-90)(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
10-0-(*.f64 (*.f64 x 2) y)
00-0-x
00-0-(-.f64 x y)
00-0-(*.f64 x 2)
00-0-y
00-0-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028291
185267
2301175
31673175
46119175
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) 2) y))
(/.f64 (-.f64 x (neg.f64 y)) (*.f64 (*.f64 x 2) (neg.f64 y)))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) 2) y)))
(neg.f64 (/.f64 (-.f64 x (neg.f64 y)) (*.f64 (*.f64 x 2) (neg.f64 y))))
(/.f64 (-.f64 y x) (*.f64 (*.f64 y 2) x))
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) 2) y))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 y (*.f64 2 (neg.f64 x))))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 x (*.f64 -2 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(/.f64 (-.f64 x (neg.f64 y)) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 -2 y)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) 2) y)))
(/.f64 (-.f64 x (neg.f64 y)) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 -2 y)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(neg.f64 (/.f64 (-.f64 x (neg.f64 y)) (*.f64 (*.f64 x 2) (neg.f64 y))))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 y (*.f64 2 (neg.f64 x))))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 x (*.f64 -2 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(/.f64 (-.f64 y x) (*.f64 (*.f64 y 2) x))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y 2)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/2 y))
Compiler

Compiled 63 to 35 computations (44.4% saved)

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 20 to 14 computations (30% saved)

localize59.0ms (1.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (*.f64 x 2) y)
73.5%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 43 to 25 computations (41.9% saved)

series12.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(*.f64 (*.f64 x 2) y)
1.0ms
x
@-inf
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
1.0ms
y
@0
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
1.0ms
x
@0
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
1.0ms
x
@inf
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite360.0ms (10.1%)

Algorithm
batch-egg-rewrite
Rules
1023×log1p-expm1-u
899×expm1-log1p-u
436×expm1-udef
436×log1p-udef
188×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01781
123981
2406981
Stop Event
node limit
Counts
3 → 118
Calls
Call 1
Inputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(*.f64 (*.f64 x 2) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (/.f64 1/4 (pow.f64 y 2)) (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (/.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 1)
(*.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(*.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (/.f64 1 (+.f64 (/.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))))))
(*.f64 (-.f64 (/.f64 1/4 (pow.f64 y 2)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(/.f64 1 (/.f64 (*.f64 y x) (fma.f64 1/2 x (*.f64 y -1/2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)))) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (-.f64 (/.f64 1/4 (pow.f64 y 2)) (/.f64 1/4 (pow.f64 x 2)))))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (+.f64 (/.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (/.f64 1/4 (pow.f64 y 2)) (/.f64 -1/4 (*.f64 y x)))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 y 2)) (/.f64 1/4 (pow.f64 x 2))) (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(/.f64 (+.f64 (*.f64 1/2 (neg.f64 x)) (*.f64 y 1/2)) (*.f64 y (neg.f64 x)))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 x -2)) y) (*.f64 y (*.f64 x -2)))
(/.f64 (+.f64 (*.f64 -1/2 (neg.f64 x)) (*.f64 (neg.f64 y) 1/2)) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) x))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 x -2)) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 x -2)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y 2) 1/2)) (*.f64 (*.f64 y 2) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 y 2) -1/2)) (*.f64 y (*.f64 x 2)))
(/.f64 (+.f64 (*.f64 x -2) (*.f64 (*.f64 y 2) 1)) (*.f64 (*.f64 y 2) (*.f64 x -2)))
(/.f64 (+.f64 (*.f64 1/2 y) (*.f64 (neg.f64 x) 1/2)) (*.f64 (neg.f64 x) y))
(/.f64 (+.f64 (*.f64 1/2 (neg.f64 y)) (*.f64 (neg.f64 x) -1/2)) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 y 2)) (*.f64 (neg.f64 x) 1)) (*.f64 x (neg.f64 (*.f64 y 2))))
(/.f64 (+.f64 (*.f64 -1/2 (neg.f64 y)) (*.f64 x -1/2)) (*.f64 x (neg.f64 y)))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 y 2)) x) (*.f64 y (*.f64 x 2)))
(/.f64 (+.f64 y (*.f64 (*.f64 x -2) 1/2)) (*.f64 (*.f64 x -2) y))
(/.f64 (+.f64 (neg.f64 y) (*.f64 (*.f64 x -2) -1/2)) (*.f64 (*.f64 x -2) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 y 2) (*.f64 (*.f64 x -2) 1)) (*.f64 (*.f64 x -2) (*.f64 y 2)))
(/.f64 (neg.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (neg.f64 (*.f64 y x)))
(/.f64 (neg.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3)))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/4 (pow.f64 y 2)) (/.f64 1/4 (pow.f64 x 2)))) (neg.f64 (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 y 2))) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)))
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) x)
(pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(fma.f64 1/2 (/.f64 1 y) (/.f64 -1/2 x))
(fma.f64 -1/2 (/.f64 1 x) (/.f64 1/2 y))
(fma.f64 1 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 1 (/.f64 -1/2 x) (/.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (cbrt.f64 (/.f64 -1/2 x)) (/.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (/.f64 1/2 y))
(fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x))
(+.f64 (/.f64 (/.f64 x x) (*.f64 y 2)) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x 2))))
(-.f64 (/.f64 (/.f64 x x) (*.f64 y 2)) (/.f64 (/.f64 y y) (*.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) 1)
(*.f64 (-.f64 x y) (/.f64 (/.f64 1 x) (*.f64 y 2)))
(*.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 1)
(*.f64 1 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (/.f64 1 x) (*.f64 y 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (/.f64 1 x) (*.f64 y 2))))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (*.f64 x (neg.f64 (*.f64 y 2)))))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 y 2)) (-.f64 x y))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x y) (*.f64 y 2)))
(*.f64 (/.f64 1 y) (/.f64 (-.f64 x y) (*.f64 x 2)))
(*.f64 (/.f64 (-.f64 x y) (*.f64 x 2)) (/.f64 1 y))
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 (-.f64 x y) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 y (*.f64 x 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 y (*.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) y) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) x) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 x 2)) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 y (*.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) y) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x 2)) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) x) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 y (*.f64 x 2)))))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2)
(pow.f64 (/.f64 y (/.f64 (-.f64 x y) (*.f64 x 2))) -1)
(neg.f64 (/.f64 (-.f64 x y) (*.f64 x (neg.f64 (*.f64 y 2)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 y (*.f64 x 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x 2)))) 1)
(pow.f64 (*.f64 y (*.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x 2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x 2))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x 2))))

simplify88.0ms (2.5%)

Algorithm
egg-herbie
Rules
1066×unswap-sqr
756×distribute-lft-in
582×log-prod
536×fma-def
528×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03395457
19015294
230665254
Stop Event
node limit
Counts
190 → 138
Calls
Call 1
Inputs
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (/.f64 1/4 (pow.f64 y 2)) (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (/.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 1)
(*.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(*.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (/.f64 1 (+.f64 (/.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))))))
(*.f64 (-.f64 (/.f64 1/4 (pow.f64 y 2)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(/.f64 1 (/.f64 (*.f64 y x) (fma.f64 1/2 x (*.f64 y -1/2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)))) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (-.f64 (/.f64 1/4 (pow.f64 y 2)) (/.f64 1/4 (pow.f64 x 2)))))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (+.f64 (/.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (/.f64 1/4 (pow.f64 y 2)) (/.f64 -1/4 (*.f64 y x)))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 y 2)) (/.f64 1/4 (pow.f64 x 2))) (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(/.f64 (+.f64 (*.f64 1/2 (neg.f64 x)) (*.f64 y 1/2)) (*.f64 y (neg.f64 x)))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 x -2)) y) (*.f64 y (*.f64 x -2)))
(/.f64 (+.f64 (*.f64 -1/2 (neg.f64 x)) (*.f64 (neg.f64 y) 1/2)) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 -1/2 x) (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) x))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 x -2)) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 x -2)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y 2) 1/2)) (*.f64 (*.f64 y 2) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 y 2) -1/2)) (*.f64 y (*.f64 x 2)))
(/.f64 (+.f64 (*.f64 x -2) (*.f64 (*.f64 y 2) 1)) (*.f64 (*.f64 y 2) (*.f64 x -2)))
(/.f64 (+.f64 (*.f64 1/2 y) (*.f64 (neg.f64 x) 1/2)) (*.f64 (neg.f64 x) y))
(/.f64 (+.f64 (*.f64 1/2 (neg.f64 y)) (*.f64 (neg.f64 x) -1/2)) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 y 2)) (*.f64 (neg.f64 x) 1)) (*.f64 x (neg.f64 (*.f64 y 2))))
(/.f64 (+.f64 (*.f64 -1/2 (neg.f64 y)) (*.f64 x -1/2)) (*.f64 x (neg.f64 y)))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 y 2)) x) (*.f64 y (*.f64 x 2)))
(/.f64 (+.f64 y (*.f64 (*.f64 x -2) 1/2)) (*.f64 (*.f64 x -2) y))
(/.f64 (+.f64 (neg.f64 y) (*.f64 (*.f64 x -2) -1/2)) (*.f64 (*.f64 x -2) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 y 2) (*.f64 (*.f64 x -2) 1)) (*.f64 (*.f64 x -2) (*.f64 y 2)))
(/.f64 (neg.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (neg.f64 (*.f64 y x)))
(/.f64 (neg.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3)))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/4 (pow.f64 y 2)) (/.f64 1/4 (pow.f64 x 2)))) (neg.f64 (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 y 2))) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)))
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) x)
(pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(fma.f64 1/2 (/.f64 1 y) (/.f64 -1/2 x))
(fma.f64 -1/2 (/.f64 1 x) (/.f64 1/2 y))
(fma.f64 1 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 1 (/.f64 -1/2 x) (/.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (cbrt.f64 (/.f64 -1/2 x)) (/.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (/.f64 1/2 y))
(fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x))
(+.f64 (/.f64 (/.f64 x x) (*.f64 y 2)) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x 2))))
(-.f64 (/.f64 (/.f64 x x) (*.f64 y 2)) (/.f64 (/.f64 y y) (*.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))) 1)
(*.f64 (-.f64 x y) (/.f64 (/.f64 1 x) (*.f64 y 2)))
(*.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 1)
(*.f64 1 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (/.f64 1 x) (*.f64 y 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (/.f64 1 x) (*.f64 y 2))))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (*.f64 x (neg.f64 (*.f64 y 2)))))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 y 2)) (-.f64 x y))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x y) (*.f64 y 2)))
(*.f64 (/.f64 1 y) (/.f64 (-.f64 x y) (*.f64 x 2)))
(*.f64 (/.f64 (-.f64 x y) (*.f64 x 2)) (/.f64 1 y))
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 (-.f64 x y) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 y (*.f64 x 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 y (*.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) y) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) x) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 x 2)) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (*.f64 y (*.f64 x 2)))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 y (*.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) y) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x 2)) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) x) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 y (*.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 y (*.f64 x 2)))))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 2)
(pow.f64 (/.f64 y (/.f64 (-.f64 x y) (*.f64 x 2))) -1)
(neg.f64 (/.f64 (-.f64 x y) (*.f64 x (neg.f64 (*.f64 y 2)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 y (*.f64 x 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x 2)))) 1)
(pow.f64 (*.f64 y (*.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x 2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x 2))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x 2))))
Outputs
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
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(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x 2)) 2))
(*.f64 y (*.f64 x 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) y))
(*.f64 y (*.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 2)))))
(*.f64 y (*.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x 2)) 3))
(*.f64 y (*.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 2) 3)))
(*.f64 y (*.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 y 3)))
(*.f64 y (*.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x 2))))
(*.f64 y (*.f64 x 2))
(exp.f64 (log.f64 (*.f64 y (*.f64 x 2))))
(*.f64 y (*.f64 x 2))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x 2))) 1))
(*.f64 y (*.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x 2))))
(*.f64 y (*.f64 x 2))

eval152.0ms (4.3%)

Compiler

Compiled 1991 to 1285 computations (35.5% saved)

prune51.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1335138
Fresh000
Picked112
Done000
Total1346140
Accuracy
100.0%
Counts
140 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.8%
(/.f64 (/.f64 (-.f64 (/.f64 y x) 1) -2) y)
47.0%
(/.f64 1/2 y)
53.1%
(/.f64 -1/2 x)
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
84.3%
(*.f64 (/.f64 (-.f64 x y) (*.f64 x 2)) (/.f64 1 y))
89.3%
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 (-.f64 x y) y))
Compiler

Compiled 103 to 75 computations (27.2% saved)

localize143.0ms (4%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 (-.f64 x y) (*.f64 x 2))
84.7%
(*.f64 (/.f64 (-.f64 x y) (*.f64 x 2)) (/.f64 1 y))
84.8%
(/.f64 (/.f64 (-.f64 (/.f64 y x) 1) -2) y)
100.0%
(/.f64 (-.f64 x y) y)
99.7%
(/.f64 1 (*.f64 x 2))
89.3%
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 (-.f64 x y) y))
Compiler

Compiled 103 to 53 computations (48.5% saved)

series9.0ms (0.2%)

Counts
6 → 132
Calls

33 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (/.f64 (-.f64 (/.f64 y x) 1) -2) y)
1.0ms
y
@inf
(/.f64 (/.f64 (-.f64 (/.f64 y x) 1) -2) y)
1.0ms
x
@-inf
(/.f64 (/.f64 (-.f64 (/.f64 y x) 1) -2) y)
0.0ms
x
@0
(/.f64 (/.f64 (-.f64 (/.f64 y x) 1) -2) y)
0.0ms
x
@inf
(/.f64 (/.f64 (-.f64 (/.f64 y x) 1) -2) y)

rewrite186.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
775×log1p-expm1-u
578×expm1-udef
578×log1p-udef
414×frac-times
336×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022174
1372159
25910159
Stop Event
node limit
Counts
6 → 350
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 (-.f64 x y) y))
(/.f64 1 (*.f64 x 2))
(/.f64 (-.f64 x y) y)
(/.f64 (/.f64 (-.f64 (/.f64 y x) 1) -2) y)
(*.f64 (/.f64 (-.f64 x y) (*.f64 x 2)) (/.f64 1 y))
(/.f64 (-.f64 x y) (*.f64 x 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)))) 1)
(-.f64 (/.f64 x (*.f64 x (*.f64 2 y))) (/.f64 y (*.f64 x (*.f64 2 y))))
(-.f64 (/.f64 (/.f64 x y) (*.f64 x 2)) (/.f64 1/2 x))
(-.f64 (/.f64 (/.f64 x (*.f64 x 2)) y) (/.f64 (*.f64 y (/.f64 1/2 x)) y))
(/.f64 1 (*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y))))
(/.f64 1 (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 2)))
(/.f64 1 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) y))
(/.f64 1 (*.f64 y (/.f64 (*.f64 x 2) (-.f64 x y))))
(/.f64 1 (/.f64 (*.f64 x (*.f64 2 y)) (-.f64 x y)))
(/.f64 1 (/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1)))
(/.f64 1 (/.f64 y (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(/.f64 (/.f64 1/2 x) (/.f64 y (-.f64 x y)))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y)))
(/.f64 (-.f64 x y) (/.f64 (*.f64 x 2) (/.f64 1 y)))
(/.f64 (-.f64 x y) (/.f64 y (/.f64 1/2 x)))
(/.f64 (-.f64 x y) (/.f64 (*.f64 x (*.f64 2 y)) 1))
(/.f64 (+.f64 (/.f64 x y) -1) (*.f64 x 2))
(/.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) y)
(/.f64 (/.f64 1 y) (/.f64 (*.f64 x 2) (-.f64 x y)))
(/.f64 -1 (*.f64 (*.f64 x -2) (/.f64 y (-.f64 x y))))
(/.f64 -1 (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x -2)))
(/.f64 -1 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) (neg.f64 y)))
(/.f64 -1 (*.f64 (neg.f64 y) (/.f64 (*.f64 x 2) (-.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (/.f64 (*.f64 x 2) (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 2) (/.f64 y (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (*.f64 x (*.f64 2 y)) (cbrt.f64 (-.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (/.f64 y (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (*.f64 x (*.f64 2 y)) (sqrt.f64 (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 x -2) y))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 y (*.f64 x -2)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x 2)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 x (*.f64 2 y))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (*.f64 x (*.f64 2 y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 y (-.f64 x y)) 2))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 x (*.f64 2 y)) (+.f64 x y)))
(/.f64 (/.f64 (-.f64 x y) x) (*.f64 y 2))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) 1) (*.f64 (*.f64 x -2) y))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) 1) (*.f64 (neg.f64 y) (*.f64 x 2)))
(/.f64 (*.f64 -1 (neg.f64 (-.f64 x y))) (*.f64 (*.f64 x -2) (neg.f64 y)))
(/.f64 (*.f64 -1 (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 y) (*.f64 x -2)))
(/.f64 (*.f64 (/.f64 1 x) 1) (*.f64 2 (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (/.f64 1 x) (-.f64 x y)) (*.f64 2 y))
(/.f64 (*.f64 (/.f64 1 x) (neg.f64 (-.f64 x y))) (*.f64 2 (neg.f64 y)))
(/.f64 (*.f64 (-.f64 x y) -1) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 x y) -1) (*.f64 y (*.f64 x -2)))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) -1) (*.f64 (*.f64 x -2) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) -1) (*.f64 (neg.f64 y) (*.f64 x -2)))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 x)) (*.f64 (neg.f64 y) 2))
(/.f64 (*.f64 (/.f64 (-.f64 x y) x) 1) (*.f64 2 y))
(/.f64 (*.f64 (/.f64 (-.f64 x y) x) -1) (*.f64 2 (neg.f64 y)))
(/.f64 (*.f64 -1 (/.f64 (-.f64 x y) x)) (*.f64 (neg.f64 y) 2))
(/.f64 (neg.f64 (+.f64 (/.f64 x y) -1)) (*.f64 x -2))
(/.f64 (neg.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (neg.f64 y))
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) 2) x)
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2)
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(/.f64 (/.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 1) y)
(/.f64 (/.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 1/2 x) (neg.f64 (-.f64 x y))) (neg.f64 y))
(/.f64 (*.f64 (+.f64 (/.f64 x y) -1) -1) (*.f64 x -2))
(/.f64 (*.f64 (+.f64 (/.f64 x y) -1) (/.f64 1 x)) 2)
(/.f64 (*.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) -1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 (-.f64 x y))) (*.f64 x -2))
(/.f64 (*.f64 (/.f64 1 y) (/.f64 (-.f64 x y) x)) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 x y) -1)) (*.f64 x -2))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 (/.f64 x y) -1)) 2)
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (/.f64 1/2 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 y)) (*.f64 x -2))
(/.f64 (*.f64 (/.f64 (-.f64 x y) x) (/.f64 1 y)) 2)
(/.f64 (*.f64 -1 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (neg.f64 y))
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) 1) (*.f64 x 2))
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (*.f64 x 2)))
(pow.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 (/.f64 x y) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 x) 3) (pow.f64 (+.f64 (/.f64 x y) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) (pow.f64 (/.f64 1/2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) (pow.f64 (*.f64 x 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) 1)
(*.f64 1 (/.f64 1/2 x))
(*.f64 (/.f64 1/2 x) 1)
(*.f64 -1 (/.f64 1 (*.f64 x -2)))
(*.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)))
(*.f64 (/.f64 1 x) 1/2)
(*.f64 1/2 (/.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x 2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x 2)) -1) (pow.f64 (sqrt.f64 (*.f64 x 2)) -1))
(pow.f64 (*.f64 x 2) -1)
(pow.f64 (/.f64 1/2 x) 1)
(pow.f64 (cbrt.f64 (/.f64 1/2 x)) 3)
(pow.f64 (pow.f64 (/.f64 1/2 x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/2 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 x 2) -2))
(log.f64 (exp.f64 (/.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))))
(cbrt.f64 (pow.f64 (/.f64 1/2 x) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 x)))
(exp.f64 (log.f64 (/.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 2)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1/2 x)))
(+.f64 (/.f64 x y) -1)
(-.f64 (/.f64 x y) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x y) -1))) 1)
(*.f64 1 (+.f64 (/.f64 x y) -1))
(*.f64 (-.f64 x y) (/.f64 1 y))
(*.f64 (+.f64 (/.f64 x y) -1) 1)
(*.f64 (/.f64 1 y) (-.f64 x y))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 x y) (sqrt.f64 y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))
(*.f64 (*.f64 (-.f64 x y) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (*.f64 (-.f64 x y) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(pow.f64 (+.f64 (/.f64 x y) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 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))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y))) 1)
(-.f64 (/.f64 (/.f64 y x) (*.f64 y -2)) (/.f64 1 (*.f64 y -2)))
(-.f64 (/.f64 (/.f64 y (*.f64 x -2)) y) (/.f64 -1/2 y))
(*.f64 1 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y))
(*.f64 (+.f64 (/.f64 y x) -1) (/.f64 1 (*.f64 y -2)))
(*.f64 (+.f64 (/.f64 y x) -1) (*.f64 -1/2 (/.f64 1 y)))
(*.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) (/.f64 1 y))
(*.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y) 1)
(*.f64 (/.f64 1 y) (+.f64 (/.f64 y (*.f64 x -2)) 1/2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)) (sqrt.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) (sqrt.f64 y)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) (/.f64 1 y)))
(*.f64 (*.f64 (+.f64 (/.f64 y x) -1) 1/2) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) 2) y) (/.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 y x) -1)) y) (/.f64 (sqrt.f64 (+.f64 (/.f64 y x) -1)) -2))
(*.f64 (/.f64 (+.f64 (/.f64 y x) -1) 1) (/.f64 -1/2 y))
(*.f64 (/.f64 (+.f64 (/.f64 y x) -1) (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/2 (cbrt.f64 y)))
(*.f64 (/.f64 (+.f64 (/.f64 y x) -1) (sqrt.f64 y)) (/.f64 -1/2 (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) (cbrt.f64 y)))
(*.f64 (*.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (*.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(pow.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)) 2)
(pow.f64 (/.f64 y (+.f64 (/.f64 y (*.f64 x -2)) 1/2)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x -2)) 1/2) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)))) 1)
(-.f64 (/.f64 x (*.f64 x (*.f64 2 y))) (/.f64 y (*.f64 x (*.f64 2 y))))
(-.f64 (/.f64 (/.f64 x y) (*.f64 x 2)) (/.f64 1/2 x))
(-.f64 (/.f64 (/.f64 x (*.f64 x 2)) y) (/.f64 (*.f64 y (/.f64 1/2 x)) y))
(/.f64 1 (*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y))))
(/.f64 1 (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 2)))
(/.f64 1 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) y))
(/.f64 1 (*.f64 y (/.f64 (*.f64 x 2) (-.f64 x y))))
(/.f64 1 (/.f64 (*.f64 x (*.f64 2 y)) (-.f64 x y)))
(/.f64 1 (/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1)))
(/.f64 1 (/.f64 y (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(/.f64 (/.f64 1/2 x) (/.f64 y (-.f64 x y)))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y)))
(/.f64 (-.f64 x y) (/.f64 (*.f64 x 2) (/.f64 1 y)))
(/.f64 (-.f64 x y) (/.f64 y (/.f64 1/2 x)))
(/.f64 (-.f64 x y) (/.f64 (*.f64 x (*.f64 2 y)) 1))
(/.f64 (+.f64 (/.f64 x y) -1) (*.f64 x 2))
(/.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) y)
(/.f64 (/.f64 1 y) (/.f64 (*.f64 x 2) (-.f64 x y)))
(/.f64 -1 (*.f64 (*.f64 x -2) (/.f64 y (-.f64 x y))))
(/.f64 -1 (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x -2)))
(/.f64 -1 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) (neg.f64 y)))
(/.f64 -1 (*.f64 (neg.f64 y) (/.f64 (*.f64 x 2) (-.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (/.f64 (*.f64 x 2) (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 2) (/.f64 y (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (*.f64 x (*.f64 2 y)) (cbrt.f64 (-.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (/.f64 y (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (*.f64 x (*.f64 2 y)) (sqrt.f64 (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 x -2) y))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 y (*.f64 x -2)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 y) (*.f64 x 2)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 x (*.f64 2 y))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (*.f64 x (*.f64 2 y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 y (-.f64 x y)) 2))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 x (*.f64 2 y)) (+.f64 x y)))
(/.f64 (/.f64 (-.f64 x y) x) (*.f64 y 2))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) 1) (*.f64 (*.f64 x -2) y))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) 1) (*.f64 (neg.f64 y) (*.f64 x 2)))
(/.f64 (*.f64 -1 (neg.f64 (-.f64 x y))) (*.f64 (*.f64 x -2) (neg.f64 y)))
(/.f64 (*.f64 -1 (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 y) (*.f64 x -2)))
(/.f64 (*.f64 (/.f64 1 x) 1) (*.f64 2 (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (/.f64 1 x) (-.f64 x y)) (*.f64 2 y))
(/.f64 (*.f64 (/.f64 1 x) (neg.f64 (-.f64 x y))) (*.f64 2 (neg.f64 y)))
(/.f64 (*.f64 (-.f64 x y) -1) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 x y) -1) (*.f64 y (*.f64 x -2)))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) -1) (*.f64 (*.f64 x -2) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) -1) (*.f64 (neg.f64 y) (*.f64 x -2)))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 x)) (*.f64 (neg.f64 y) 2))
(/.f64 (*.f64 (/.f64 (-.f64 x y) x) 1) (*.f64 2 y))
(/.f64 (*.f64 (/.f64 (-.f64 x y) x) -1) (*.f64 2 (neg.f64 y)))
(/.f64 (*.f64 -1 (/.f64 (-.f64 x y) x)) (*.f64 (neg.f64 y) 2))
(/.f64 (neg.f64 (+.f64 (/.f64 x y) -1)) (*.f64 x -2))
(/.f64 (neg.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (neg.f64 y))
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) 2) x)
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2)
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(/.f64 (/.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 1) y)
(/.f64 (/.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 1/2 x) (neg.f64 (-.f64 x y))) (neg.f64 y))
(/.f64 (*.f64 (+.f64 (/.f64 x y) -1) -1) (*.f64 x -2))
(/.f64 (*.f64 (+.f64 (/.f64 x y) -1) (/.f64 1 x)) 2)
(/.f64 (*.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) -1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 (-.f64 x y))) (*.f64 x -2))
(/.f64 (*.f64 (/.f64 1 y) (/.f64 (-.f64 x y) x)) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 x y) -1)) (*.f64 x -2))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 (/.f64 x y) -1)) 2)
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (/.f64 1/2 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 y)) (*.f64 x -2))
(/.f64 (*.f64 (/.f64 (-.f64 x y) x) (/.f64 1 y)) 2)
(/.f64 (*.f64 -1 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (neg.f64 y))
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) 1) (*.f64 x 2))
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (*.f64 x 2)))
(pow.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 (/.f64 x y) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 x) 3) (pow.f64 (+.f64 (/.f64 x y) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) (pow.f64 (/.f64 1/2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) (pow.f64 (*.f64 x 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))))
(+.f64 (/.f64 x (*.f64 x 2)) (neg.f64 (*.f64 y (/.f64 1/2 x))))
(+.f64 (/.f64 x (*.f64 x 2)) (*.f64 (neg.f64 y) (/.f64 1/2 x)))
(+.f64 (*.f64 (/.f64 1/2 x) x) (*.f64 (/.f64 1/2 x) (neg.f64 y)))
(-.f64 (/.f64 x (*.f64 x 2)) (*.f64 y (/.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)))) 1)
(*.f64 1 (*.f64 (/.f64 1/2 x) (-.f64 x y)))
(*.f64 (/.f64 1/2 x) (-.f64 x y))
(*.f64 (-.f64 x y) (/.f64 1/2 x))
(*.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (-.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 2) (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 x 2))))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (-.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 1))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1/2 x)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (*.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x y) 2))
(*.f64 (/.f64 (-.f64 x y) x) 1/2)
(*.f64 1/2 (/.f64 (-.f64 x y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) x) (/.f64 (sqrt.f64 (-.f64 x y)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) x) (/.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 2) (/.f64 (cbrt.f64 (-.f64 x y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (*.f64 x 2))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 2) (/.f64 (sqrt.f64 (-.f64 x y)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 x 2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (-.f64 x y))) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (-.f64 x y))))
(*.f64 (*.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)))
(*.f64 (*.f64 (-.f64 x y) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(*.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(*.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 2)
(pow.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (*.f64 x -2)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 1/2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 x) 3) (pow.f64 (-.f64 x y) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 1))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (-.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))

simplify387.0ms (10.8%)

Algorithm
egg-herbie
Rules
1274×fma-def
1040×associate-/l*
934×times-frac
842×associate-*r*
780×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057113911
1151612311
2747112301
Stop Event
node limit
Counts
482 → 325
Calls
Call 1
Inputs
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
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(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 1/2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 x) 3) (pow.f64 (-.f64 x y) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 1))
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (-.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
Outputs
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
-1
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 y x))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
1/2
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
1/2
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
1/2
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 -1/2 (/.f64 y x))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 -1/2 (/.f64 y x))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1)))) 1)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 x (*.f64 x (*.f64 2 y))) (/.f64 y (*.f64 x (*.f64 2 y))))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(-.f64 (/.f64 (/.f64 x y) (*.f64 x 2)) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 (/.f64 x (*.f64 x 2)) y) (/.f64 (*.f64 y (/.f64 1/2 x)) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 1 (*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y))))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 1 (*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 2)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 1 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 1 (*.f64 y (/.f64 (*.f64 x 2) (-.f64 x y))))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 1 (/.f64 (*.f64 x (*.f64 2 y)) (-.f64 x y)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 1 (/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 1 (/.f64 y (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 (/.f64 1/2 x) (/.f64 y (-.f64 x y)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 (-.f64 x y) (/.f64 (*.f64 x 2) (/.f64 1 y)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 (-.f64 x y) (/.f64 y (/.f64 1/2 x)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(/.f64 (-.f64 x y) (/.f64 (*.f64 x (*.f64 2 y)) 1))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
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(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 x y)) 3) (*.f64 (pow.f64 x 3) 8)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3) (pow.f64 y 3)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))) 1))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 x) (+.f64 (/.f64 x y) -1))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 x (*.f64 x 2)) (neg.f64 (*.f64 y (/.f64 1/2 x))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (/.f64 x (*.f64 x 2)) (*.f64 (neg.f64 y) (/.f64 1/2 x)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(+.f64 (*.f64 (/.f64 1/2 x) x) (*.f64 (/.f64 1/2 x) (neg.f64 y)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(-.f64 (/.f64 x (*.f64 x 2)) (*.f64 y (/.f64 1/2 x)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)))) 1)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 1 (*.f64 (/.f64 1/2 x) (-.f64 x y)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (/.f64 1/2 x) (-.f64 x y))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (-.f64 x y) (/.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 1)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (-.f64 x y)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 2))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 2) (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 1))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1/2 x)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 x 2))))
(/.f64 (-.f64 x y) (/.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (-.f64 x y)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 1))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1/2 x)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (*.f64 x -2)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x y) 2))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (/.f64 (-.f64 x y) x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 1/2 (/.f64 (-.f64 x y) x))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (*.f64 x 2)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (*.f64 x 2)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) x) (/.f64 (sqrt.f64 (-.f64 x y)) 2))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) x) (/.f64 (cbrt.f64 (-.f64 x y)) 2))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 2) (/.f64 (cbrt.f64 (-.f64 x y)) x))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (*.f64 x 2))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 2) (/.f64 (sqrt.f64 (-.f64 x y)) x))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (-.f64 x y))) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (-.f64 x y))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (*.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (*.f64 (-.f64 x y) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(*.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 1)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 3)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3) 1/3)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 2)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(pow.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) -1)
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(neg.f64 (/.f64 (-.f64 x y) (*.f64 x -2)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 2))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 x y) x)) 2))
(fabs.f64 (fma.f64 -1/2 (/.f64 y x) 1/2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) x))))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 y x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y)) 3))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 1/2 x) 3)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 x) 3) (pow.f64 (-.f64 x y) 3)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 x 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (*.f64 (pow.f64 x 3) 8)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))) 1))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(exp.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (-.f64 x y))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 x) (-.f64 x y))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 y x)))
(fma.f64 -1/2 (/.f64 y x) 1/2)

eval86.0ms (2.4%)

Compiler

Compiled 4654 to 2790 computations (40.1% saved)

prune49.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3241325
Fresh000
Picked325
Done011
Total3274331
Accuracy
100.0%
Counts
331 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.0%
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2)
47.0%
(/.f64 1/2 y)
53.1%
(/.f64 -1/2 x)
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize40.0ms (1.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (/.f64 x y) -1)
99.7%
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2)
89.3%
(/.f64 (+.f64 (/.f64 x y) -1) x)
Compiler

Compiled 31 to 16 computations (48.4% saved)

series4.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (+.f64 (/.f64 x y) -1) x)
0.0ms
y
@-inf
(/.f64 (+.f64 (/.f64 x y) -1) x)
0.0ms
x
@inf
(/.f64 (+.f64 (/.f64 x y) -1) x)
0.0ms
x
@-inf
(/.f64 (+.f64 (/.f64 x y) -1) x)
0.0ms
x
@-inf
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2)

rewrite110.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
890×log1p-expm1-u
890×expm1-log1p-u
858×log-prod
416×log-div
340×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01381
116081
2233281
Stop Event
node limit
Counts
3 → 137
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 x y) -1) x)
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2)
(+.f64 (/.f64 x y) -1)
Outputs
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))
(+.f64 0 (/.f64 (+.f64 (/.f64 x y) -1) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 1)
(*.f64 (+.f64 (/.f64 x y) -1) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1)
(*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (+.f64 (/.f64 x y) -1) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 1 x)))
(*.f64 (+.f64 1 (neg.f64 (/.f64 x y))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 (/.f64 x y) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (/.f64 x y) -1) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 x y) -1) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 2)
(pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -1)
(pow.f64 (/.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) 1) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 x y) -1) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x y) -1))) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(+.f64 0 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))) 1)
(*.f64 (+.f64 (/.f64 x y) -1) (/.f64 1 (*.f64 x 2)))
(*.f64 (+.f64 (/.f64 x y) -1) (*.f64 (/.f64 1 x) 1/2))
(*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)
(*.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 1)
(*.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2) 1/4)) (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 1/2))
(*.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 x y))) x) -1/2)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 x y) -1) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2) (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) x))
(pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) 2)
(pow.f64 (*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1))) -1)
(pow.f64 (/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1)) -1)
(pow.f64 (/.f64 (*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1))) 1) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) -2))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (+.f64 (/.f64 x y) -1) 1)
(*.f64 (+.f64 (/.f64 x y) -1) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 (/.f64 x y) -1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1)))))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) 1) (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))) (+.f64 -1 (pow.f64 (/.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 x y) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (+.f64 (/.f64 x y) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (neg.f64 (+.f64 (/.f64 x y) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (-.f64 -1 (/.f64 x y)))
(pow.f64 (+.f64 (/.f64 x y) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))) (+.f64 -1 (pow.f64 (/.f64 x y) 3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) -1)
(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 x y)))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))
(fma.f64 x (/.f64 1 y) -1)
(fma.f64 (/.f64 x y) 1 -1)
(fma.f64 1 (/.f64 x y) -1)
(fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 y)) -1)
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) -1)
(fma.f64 (/.f64 1 y) x -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) -1)
(fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) -1)
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) -1)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) -1)

simplify188.0ms (5.3%)

Algorithm
egg-herbie
Rules
978×log-prod
668×distribute-lft-out
492×cube-prod
488×cancel-sign-sub-inv
472×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03255873
17195679
231715594
Stop Event
node limit
Counts
209 → 178
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))
(+.f64 0 (/.f64 (+.f64 (/.f64 x y) -1) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 1)
(*.f64 (+.f64 (/.f64 x y) -1) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1)
(*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (+.f64 (/.f64 x y) -1) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (/.f64 1 x)))
(*.f64 (+.f64 1 (neg.f64 (/.f64 x y))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 (/.f64 x y) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (/.f64 x y) -1) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 x y) -1) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 2)
(pow.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) -1)
(pow.f64 (/.f64 (/.f64 x (+.f64 (/.f64 x y) -1)) 1) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 x y) -1) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x y) -1))) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))
(+.f64 0 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))) 1)
(*.f64 (+.f64 (/.f64 x y) -1) (/.f64 1 (*.f64 x 2)))
(*.f64 (+.f64 (/.f64 x y) -1) (*.f64 (/.f64 1 x) 1/2))
(*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)
(*.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 1)
(*.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2) 1/4)) (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)) 1/2))
(*.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 x y))) x) -1/2)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 x y) -1) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2) (/.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) x))
(pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) 2)
(pow.f64 (*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1))) -1)
(pow.f64 (/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1)) -1)
(pow.f64 (/.f64 (*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1))) 1) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) -2))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (+.f64 (/.f64 x y) -1) 1)
(*.f64 (+.f64 (/.f64 x y) -1) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 (/.f64 x y) -1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1)))))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) 1) (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))) (+.f64 -1 (pow.f64 (/.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 x y) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (+.f64 (/.f64 x y) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (neg.f64 (+.f64 (/.f64 x y) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (-.f64 -1 (/.f64 x y)))
(pow.f64 (+.f64 (/.f64 x y) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))) (+.f64 -1 (pow.f64 (/.f64 x y) 3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) -1)
(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 x y)))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))
(fma.f64 x (/.f64 1 y) -1)
(fma.f64 (/.f64 x y) 1 -1)
(fma.f64 1 (/.f64 x y) -1)
(fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 y)) -1)
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) -1)
(fma.f64 (/.f64 1 y) x -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) -1)
(fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) -1)
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) -1)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) -1)
Outputs
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 1/2 y)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 0 (/.f64 (+.f64 (/.f64 x y) -1) x))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 x y) -1) x)))))
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(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 3))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) 1))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)) 1) 1))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))) 3))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2) 3)) 1/3))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2))) 2))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1)))) -1))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 1/2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 x y) 1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 1 (/.f64 x y))) (/.f64 1 (+.f64 1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 1 (/.f64 x y))) (/.f64 -1 (+.f64 1 (/.f64 x y))))
(*.f64 (+.f64 (/.f64 x y) -1) 1)
(+.f64 -1 (/.f64 x y))
(*.f64 (+.f64 (/.f64 x y) -1) (log.f64 (exp.f64 1)))
(+.f64 -1 (/.f64 x y))
(*.f64 1 (+.f64 (/.f64 x y) -1))
(+.f64 -1 (/.f64 x y))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))
(+.f64 -1 (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 (neg.f64 x) y)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) (+.f64 -1 (pow.f64 (/.f64 x y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 2)) (+.f64 1 (/.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) 1) (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 -1 (/.f64 x y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))) (+.f64 -1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 (neg.f64 x) y)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) (+.f64 -1 (pow.f64 (/.f64 x y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 2)) (+.f64 1 (/.f64 x y)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 (neg.f64 x) y)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 x y) -1))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 (neg.f64 x) y)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (+.f64 (/.f64 x y) 1))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) (+.f64 -1 (pow.f64 (/.f64 x y) 2)))
(/.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 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 (neg.f64 x) y)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (neg.f64 (+.f64 (/.f64 x y) 1)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) (+.f64 -1 (pow.f64 (/.f64 x y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 2)) (+.f64 1 (/.f64 x y)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (-.f64 -1 (/.f64 x y)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) (+.f64 -1 (pow.f64 (/.f64 x y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 2)) (+.f64 1 (/.f64 x y)))
(pow.f64 (+.f64 (/.f64 x y) -1) 1)
(+.f64 -1 (/.f64 x y))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)
(+.f64 -1 (/.f64 x y))
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)
(+.f64 -1 (/.f64 x y))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)
(+.f64 -1 (/.f64 x y))
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (*.f64 (/.f64 x y) -1))) (+.f64 -1 (pow.f64 (/.f64 x y) 3))) -1)
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 (neg.f64 x) y)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(pow.f64 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) -1)
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) (+.f64 -1 (pow.f64 (/.f64 x y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 2)) (+.f64 1 (/.f64 x y)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))
(+.f64 -1 (/.f64 x y))
(log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) -1))))
(+.f64 -1 (/.f64 x y))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))
(+.f64 -1 (/.f64 x y))
(expm1.f64 (log.f64 (/.f64 x y)))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1) 1))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1))) 3))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3)) 1/3))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1))) 2))
(+.f64 -1 (/.f64 x y))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(fma.f64 x (/.f64 1 y) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (/.f64 x y) 1 -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 1 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (/.f64 1 y) x -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) -1)
(+.f64 -1 (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
(fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1)
(+.f64 -1 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) -1)
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) -1)

eval90.0ms (2.5%)

Compiler

Compiled 2710 to 1735 computations (36% saved)

prune28.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1780178
Fresh000
Picked011
Done033
Total1784182
Accuracy
100.0%
Counts
182 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.0%
(/.f64 (/.f64 (+.f64 (/.f64 x y) -1) x) 2)
47.0%
(/.f64 1/2 y)
53.1%
(/.f64 -1/2 x)
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 94 to 63 computations (33% saved)

regimes16.0ms (0.4%)

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

3 calls:

6.0ms
y
5.0ms
x
4.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes26.0ms (0.7%)

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

2 calls:

16.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
78.0%5x
76.4%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
53.1%1x
53.1%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.3439838269546933e-38
9.950557174302248e-37
15.0ms
-317116029518.27985
-13382664.485211035
Results
24.0ms224×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 196 to 161 computations (17.9% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02186
12786
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(if (<=.f64 y -15500000) (/.f64 -1/2 x) (if (<=.f64 y 5866584492377231/11972621413014756705924586149611790497021399392059392) (/.f64 1/2 y) (/.f64 -1/2 x)))
(/.f64 -1/2 x)
Outputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(if (<=.f64 y -15500000) (/.f64 -1/2 x) (if (<=.f64 y 5866584492377231/11972621413014756705924586149611790497021399392059392) (/.f64 1/2 y) (/.f64 -1/2 x)))
(if (or (<=.f64 y -15500000) (not (<=.f64 y 5866584492377231/11972621413014756705924586149611790497021399392059392))) (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 -1/2 x)
Compiler

Compiled 31 to 24 computations (22.6% saved)

soundness163.0ms (4.6%)

Rules
1112×associate-/l*
948×associate-*r/
900×distribute-lft-neg-in
796×distribute-rgt-neg-in
764×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028291
185267
2301175
31673175
46119175
Stop Event
node limit
Compiler

Compiled 197 to 131 computations (33.5% saved)

end0.0ms (0%)

preprocess48.0ms (1.3%)

Compiler

Compiled 94 to 68 computations (27.7% saved)

Profiling

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