Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 3.0s)

analyze23.0ms (0.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
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)

sample1.1s (37.7%)

Results
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Bogosity

preprocess193.0ms (6.4%)

Algorithm
egg-herbie
Rules
1154×associate-/l*
1102×div-sub
942×associate-*r/
916×fma-define
874×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
560-4(-2.457520002516775e-144 -3.028602146614553e-172)(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
00-0-x
00-0-(*.f64 (*.f64 x 2) y)
00-0-(-.f64 x y)
00-0-(*.f64 x 2)
00-0-y
00-0-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028291
1106267
2435175
32143175
47410175
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 y) (/.f64 1/2 x))
(/.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 y) (/.f64 -1/2 x))
(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 y) (/.f64 -1/2 x))
(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 y) (/.f64 1/2 x))
(/.f64 (-.f64 y x) (*.f64 (*.f64 y 2) x))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y 2)))
(+.f64 (/.f64 -1/2 y) (/.f64 1/2 x))
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
79.9%
(/.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)

localize57.0ms (1.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
79.9%
(/.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)

series18.0ms (0.6%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@0
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
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
y
@inf
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite256.0ms (8.5%)

Algorithm
batch-egg-rewrite
Rules
1061×log1p-expm1-u
973×expm1-log1p-u
190×associate-*r*
170×times-frac
122×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
124962
2444162
Stop Event
node limit
Counts
2 → 115
Calls
Call 1
Inputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 (-.f64 x 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 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3) (+.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2) (-.f64 0 (*.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 0))))
(/.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 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2) 0) (-.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 0))
(/.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))))
(log1p.f64 (expm1.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))
(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 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 0)
(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 (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))) 0)
(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))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 0)
(+.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 0)
(+.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x 2))))
(+.f64 0 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))
(-.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (/.f64 (/.f64 y y) (*.f64 x 2)))
(-.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (-.f64 (/.f64 (/.f64 y y) (*.f64 x 2)) 0))
(-.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 x (/.f64 (-.f64 x y) (*.f64 y 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)))))
(log1p.f64 (expm1.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))
(fma.f64 (-.f64 x y) (/.f64 (/.f64 1 x) (*.f64 y 2)) 0)
(fma.f64 1 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 0)
(fma.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)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 0)

simplify101.0ms (3.4%)

Algorithm
egg-herbie
Rules
790×unswap-sqr
690×add0
602×div-sub
516×fma-neg
490×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03275260
111505082
242185055
Stop Event
node limit
Counts
163 → 137
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 (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 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3) (+.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2) (-.f64 0 (*.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 0))))
(/.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 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2) 0) (-.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 0))
(/.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))))
(log1p.f64 (expm1.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))
(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 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 0)
(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 (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))) 0)
(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))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 0)
(+.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 0)
(+.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (neg.f64 (/.f64 (/.f64 y y) (*.f64 x 2))))
(+.f64 0 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))))
(-.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (/.f64 (/.f64 y y) (*.f64 x 2)))
(-.f64 (/.f64 x (*.f64 y (*.f64 x 2))) (-.f64 (/.f64 (/.f64 y y) (*.f64 x 2)) 0))
(-.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 x (/.f64 (-.f64 x y) (*.f64 y 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)))))
(log1p.f64 (expm1.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))
(fma.f64 (-.f64 x y) (/.f64 (/.f64 1 x) (*.f64 y 2)) 0)
(fma.f64 1 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 0)
(fma.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)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 0)
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)))
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(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 y (*.f64 x 2)) 3)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))))
(-.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 x y) (*.f64 y (*.f64 x 2)))) 1))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (-.f64 x y) (/.f64 (/.f64 1 x) (*.f64 y 2)) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 1 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2))) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.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)))) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x 2)))) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

eval46.0ms (1.5%)

Compiler

Compiled 2086 to 1366 computations (34.5% saved)

prune19.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1343137
Fresh000
Picked112
Done000
Total1354139
Accuracy
100.0%
Counts
139 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(/.f64 (-.f64 1 (/.f64 x y)) (*.f64 x -2))
49.6%
(/.f64 1/2 y)
51.8%
(/.f64 -1/2 x)
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize57.0ms (1.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
88.6%
(/.f64 (-.f64 1 (/.f64 x y)) (*.f64 x -2))
Compiler

Compiled 37 to 21 computations (43.2% saved)

series7.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (-.f64 1 (/.f64 x y)) (*.f64 x -2))
2.0ms
x
@0
(/.f64 (-.f64 1 (/.f64 x y)) (*.f64 x -2))
1.0ms
x
@inf
(/.f64 (-.f64 1 (/.f64 x y)) (*.f64 x -2))
1.0ms
y
@0
(/.f64 (-.f64 1 (/.f64 x y)) (*.f64 x -2))
1.0ms
y
@inf
(/.f64 (-.f64 1 (/.f64 x y)) (*.f64 x -2))

rewrite132.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
1506×fma-define
985×log1p-expm1-u
985×expm1-log1p-u
920×prod-diff
432×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01334
116634
2261134
Stop Event
node limit
Counts
1 → 133
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (/.f64 x y)) (*.f64 x -2))
Outputs
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) 0)
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) -2)) (/.f64 (sqrt.f64 (/.f64 x y)) x) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) x)) (/.f64 (sqrt.f64 (/.f64 x y)) -2) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2)))) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(+.f64 0 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)))
(+.f64 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) 1 (*.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (fma.f64 (neg.f64 (/.f64 -1/2 x)) (/.f64 x y) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 x y) -2) (/.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) -2)) (/.f64 1 x) (*.f64 (/.f64 (/.f64 x y) -2) (/.f64 1 x))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 x y) x) -1/2))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) x)) -1/2 (*.f64 (/.f64 (/.f64 x y) x) -1/2)))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2)))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x -2))) (/.f64 1 (sqrt.f64 (*.f64 x -2)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x -2)))) (/.f64 1 (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x -2))) (/.f64 1 (sqrt.f64 (*.f64 x -2))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) (*.f64 x -2)) (/.f64 x 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) (*.f64 x -2))) (/.f64 x 1) (*.f64 (/.f64 (/.f64 1 y) (*.f64 x -2)) (/.f64 x 1))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) -2) (/.f64 x x)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) -2)) (/.f64 x x) (*.f64 (/.f64 (/.f64 1 y) -2) (/.f64 x x))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) x) (/.f64 x -2)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) x)) (/.f64 x -2) (*.f64 (/.f64 (/.f64 1 y) x) (/.f64 x -2))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (*.f64 x -2))) (/.f64 x (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (*.f64 x -2)))) (/.f64 x (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (*.f64 x -2))) (/.f64 x (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (*.f64 x -2))) (/.f64 x (sqrt.f64 (*.f64 x -2)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (*.f64 x -2)))) (/.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (*.f64 x -2))) (/.f64 x (sqrt.f64 (*.f64 x -2))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x -2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x -2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) -2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 x y)) -2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x) (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) -2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 x y)) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -2) (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -2))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 (*.f64 x -2)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 (*.f64 x -2))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x -2)) (/.f64 (sqrt.f64 (/.f64 x y)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x -2))) (/.f64 (sqrt.f64 (/.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x -2)) (/.f64 (sqrt.f64 (/.f64 x y)) 1))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2)))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) 1 (*.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (fma.f64 (neg.f64 (/.f64 -1/2 x)) (/.f64 x y) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 (/.f64 x y) -2) (/.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) -2)) (/.f64 1 x) (*.f64 (/.f64 (/.f64 x y) -2) (/.f64 1 x))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 (/.f64 x y) x) -1/2))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) x)) -1/2 (*.f64 (/.f64 (/.f64 x y) x) -1/2)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2)))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x -2))) (/.f64 1 (sqrt.f64 (*.f64 x -2)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x -2)))) (/.f64 1 (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x -2))) (/.f64 1 (sqrt.f64 (*.f64 x -2))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) (*.f64 x -2)) (/.f64 x 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) (*.f64 x -2))) (/.f64 x 1) (*.f64 (/.f64 (/.f64 1 y) (*.f64 x -2)) (/.f64 x 1))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) -2) (/.f64 x x)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) -2)) (/.f64 x x) (*.f64 (/.f64 (/.f64 1 y) -2) (/.f64 x x))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) x) (/.f64 x -2)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) x)) (/.f64 x -2) (*.f64 (/.f64 (/.f64 1 y) x) (/.f64 x -2))))
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(fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) 0)
(fma.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) 1 0)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (/.f64 -1/2 x)) 0)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) (sqrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 0)
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (/.f64 -1/2 x)) 0)
(fma.f64 (neg.f64 (-.f64 1 (/.f64 x y))) (/.f64 1 (*.f64 x 2)) 0)
(fma.f64 (/.f64 -1/2 x) (-.f64 1 (/.f64 x y)) 0)
(fma.f64 (/.f64 (-.f64 1 (/.f64 x y)) x) -1/2 0)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(fma.f64 (/.f64 1 x) (/.f64 (-.f64 1 (/.f64 x y)) -2) 0)
(fma.f64 -1/2 (/.f64 (-.f64 1 (/.f64 x y)) x) 0)
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 (-.f64 1 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (*.f64 x -2))) (/.f64 (-.f64 1 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (*.f64 x -2)) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 1) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (*.f64 x -2)) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) x) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) -2) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) -2) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) -2) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) x) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (sqrt.f64 (*.f64 x -2))) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (*.f64 x -2))) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) -2) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) x) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (cbrt.f64 (*.f64 x -2))) 0)

simplify167.0ms (5.6%)

Algorithm
egg-herbie
Rules
1144×times-frac
990×fma-neg
674×add0
662×+-commutative
574×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039612762
114349472
253227516
Stop Event
node limit
Counts
157 → 161
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)))
(/.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 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) 0)
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) -2)) (/.f64 (sqrt.f64 (/.f64 x y)) x) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) x)) (/.f64 (sqrt.f64 (/.f64 x y)) -2) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2)))) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(+.f64 0 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)))
(+.f64 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) 1 (*.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (fma.f64 (neg.f64 (/.f64 -1/2 x)) (/.f64 x y) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 x y) -2) (/.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) -2)) (/.f64 1 x) (*.f64 (/.f64 (/.f64 x y) -2) (/.f64 1 x))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 x y) x) -1/2))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) x)) -1/2 (*.f64 (/.f64 (/.f64 x y) x) -1/2)))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2)))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x -2))) (/.f64 1 (sqrt.f64 (*.f64 x -2)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x -2)))) (/.f64 1 (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x -2))) (/.f64 1 (sqrt.f64 (*.f64 x -2))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) (*.f64 x -2)) (/.f64 x 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) (*.f64 x -2))) (/.f64 x 1) (*.f64 (/.f64 (/.f64 1 y) (*.f64 x -2)) (/.f64 x 1))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) -2) (/.f64 x x)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) -2)) (/.f64 x x) (*.f64 (/.f64 (/.f64 1 y) -2) (/.f64 x x))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) x) (/.f64 x -2)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) x)) (/.f64 x -2) (*.f64 (/.f64 (/.f64 1 y) x) (/.f64 x -2))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (*.f64 x -2))) (/.f64 x (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (*.f64 x -2)))) (/.f64 x (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (*.f64 x -2))) (/.f64 x (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (*.f64 x -2))) (/.f64 x (sqrt.f64 (*.f64 x -2)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (*.f64 x -2)))) (/.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (*.f64 x -2))) (/.f64 x (sqrt.f64 (*.f64 x -2))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x -2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x -2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) -2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 x y)) -2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x) (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) -2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 x y)) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -2) (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -2))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 (*.f64 x -2)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 (*.f64 x -2))))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x -2)) (/.f64 (sqrt.f64 (/.f64 x y)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x -2))) (/.f64 (sqrt.f64 (/.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x -2)) (/.f64 (sqrt.f64 (/.f64 x y)) 1))))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2)))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) 1 (*.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (fma.f64 (neg.f64 (/.f64 -1/2 x)) (/.f64 x y) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 (/.f64 x y) -2) (/.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) -2)) (/.f64 1 x) (*.f64 (/.f64 (/.f64 x y) -2) (/.f64 1 x))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 (/.f64 x y) x) -1/2))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) x)) -1/2 (*.f64 (/.f64 (/.f64 x y) x) -1/2)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2)))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (*.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x -2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))))
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(pow.f64 (/.f64 (*.f64 x -2) (-.f64 1 (/.f64 x y))) -1)
(neg.f64 (/.f64 (-.f64 1 (/.f64 x y)) (*.f64 x 2)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 x y))) (/.f64 -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3) (pow.f64 (*.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 1))
(fma.f64 1 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) 0)
(fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) 0)
(fma.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) 1 0)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (/.f64 -1/2 x)) 0)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) (sqrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 0)
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (/.f64 -1/2 x)) 0)
(fma.f64 (neg.f64 (-.f64 1 (/.f64 x y))) (/.f64 1 (*.f64 x 2)) 0)
(fma.f64 (/.f64 -1/2 x) (-.f64 1 (/.f64 x y)) 0)
(fma.f64 (/.f64 (-.f64 1 (/.f64 x y)) x) -1/2 0)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(fma.f64 (/.f64 1 x) (/.f64 (-.f64 1 (/.f64 x y)) -2) 0)
(fma.f64 -1/2 (/.f64 (-.f64 1 (/.f64 x y)) x) 0)
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 (-.f64 1 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (*.f64 x -2))) (/.f64 (-.f64 1 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (*.f64 x -2)) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 1) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (*.f64 x -2)) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) x) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) -2) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) -2) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) -2) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) x) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (sqrt.f64 (*.f64 x -2))) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (*.f64 x -2))) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) -2) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) x) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (cbrt.f64 (*.f64 x -2))) 0)
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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.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 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y))) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 1 y)))) (sqrt.f64 (*.f64 -1/2 (/.f64 1 y))) (*.f64 -1/2 (/.f64 1 y))))
(+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (*.f64 (/.f64 1 y) 0)))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) -2)) (/.f64 (sqrt.f64 (/.f64 x y)) x) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y))) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 1 y)))) (sqrt.f64 (*.f64 -1/2 (/.f64 1 y))) (*.f64 -1/2 (/.f64 1 y))))
(+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (*.f64 (/.f64 1 y) 0)))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) x)) (/.f64 (sqrt.f64 (/.f64 x y)) -2) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y))) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 1 y)))) (sqrt.f64 (*.f64 -1/2 (/.f64 1 y))) (*.f64 -1/2 (/.f64 1 y))))
(+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (*.f64 (/.f64 1 y) 0)))
(+.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2)))) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 x y) (/.f64 -1/2 x))))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (*.f64 x -2))) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (*.f64 x -2))) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (*.f64 -1/2 (/.f64 1 y))))
(+.f64 (-.f64 (/.f64 -1/2 y) (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))))) (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(+.f64 0 (*.f64 (-.f64 1 (/.f64 x 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 x) (/.f64 -1/2 y))
(+.f64 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 x 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 x) (/.f64 -1/2 y))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) 1 (*.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)) 1)))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y))) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 1 y)))) (sqrt.f64 (*.f64 -1/2 (/.f64 1 y))) (*.f64 -1/2 (/.f64 1 y))))
(+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (*.f64 (/.f64 1 y) 0)))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (fma.f64 (neg.f64 (/.f64 -1/2 x)) (/.f64 x y) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y))) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 1 y)))) (sqrt.f64 (*.f64 -1/2 (/.f64 1 y))) (*.f64 -1/2 (/.f64 1 y))))
(+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (*.f64 (/.f64 1 y) 0)))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x))) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 -1/2 x)))))))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y))) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 1 y)))) (sqrt.f64 (*.f64 -1/2 (/.f64 1 y))) (*.f64 -1/2 (/.f64 1 y))))
(+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (*.f64 (/.f64 1 y) 0)))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 x y) -2) (/.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) -2)) (/.f64 1 x) (*.f64 (/.f64 (/.f64 x y) -2) (/.f64 1 x))))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y))) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 1 y)))) (sqrt.f64 (*.f64 -1/2 (/.f64 1 y))) (*.f64 -1/2 (/.f64 1 y))))
(+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 y) (*.f64 (/.f64 1 y) 0)))
(+.f64 (fma.f64 1 (/.f64 -1/2 x) (neg.f64 (*.f64 (/.f64 (/.f64 x y) x) -1/2))) (fma.f64 (neg.f64 (/.f64 (/.f64 x y) x)) -1/2 (*.f64 (/.f64 (/.f64 x y) x) -1/2)))
(fma.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y)))) (sqrt.f64 (*.f64 (/.f64 -1/2 x) (/.f64 x y))) (*.f64 (/.f64 -1/2 x) (/.f64 x y))))
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(fma.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x)) 1 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 2) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (/.f64 -1/2 x)) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) (sqrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (/.f64 -1/2 x)) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (neg.f64 (-.f64 1 (/.f64 x y))) (/.f64 1 (*.f64 x 2)) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (/.f64 -1/2 x) (-.f64 1 (/.f64 x y)) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (/.f64 (-.f64 1 (/.f64 x y)) x) -1/2 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 x 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 x) (/.f64 -1/2 y))
(fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (neg.f64 (*.f64 (/.f64 x 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 x) (/.f64 -1/2 y))
(fma.f64 (/.f64 1 x) (/.f64 (-.f64 1 (/.f64 x y)) -2) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 -1/2 (/.f64 (-.f64 1 (/.f64 x y)) x) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 (-.f64 1 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) 0)
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (/.f64 x y)) (cbrt.f64 (*.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))
(/.f64 (/.f64 (-.f64 1 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))
(fma.f64 (/.f64 1 (sqrt.f64 (*.f64 x -2))) (/.f64 (-.f64 1 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) 0)
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x -2))) (/.f64 (-.f64 1 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))))
(/.f64 (/.f64 (-.f64 1 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (*.f64 x -2)) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 1) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (*.f64 x -2)) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) x) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) -2) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) -2) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) -2) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) x) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x y)) (/.f64 -1/2 x))) 0)
(*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 1 (/.f64 x y)) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (cbrt.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (sqrt.f64 (*.f64 x -2))) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (*.f64 x -2))) 0)
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x -2))) (/.f64 (-.f64 1 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))))
(/.f64 (/.f64 (-.f64 1 (/.f64 x y)) (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) -2) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) x) 0)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (cbrt.f64 (*.f64 x -2))) 0)
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (/.f64 x y)) (cbrt.f64 (*.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))
(/.f64 (/.f64 (-.f64 1 (/.f64 x y)) (cbrt.f64 (*.f64 x -2))) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)))

eval122.0ms (4%)

Compiler

Compiled 5168 to 3266 computations (36.8% saved)

prune51.0ms (1.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1610161
Fresh000
Picked033
Done011
Total1614165
Accuracy
100.0%
Counts
165 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(/.f64 (-.f64 1 (/.f64 x y)) (*.f64 x -2))
49.6%
(/.f64 1/2 y)
51.8%
(/.f64 -1/2 x)
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes165.0ms (5.5%)

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

3 calls:

156.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
5.0ms
y
4.0ms
x
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)

regimes23.0ms (0.8%)

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

2 calls:

11.0ms
y
11.0ms
x
Results
AccuracySegmentsBranch
81.7%3x
78.1%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.7%)

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:

18.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
51.8%1y
51.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch66.0ms (2.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
48.0ms
1.0091203663973735e-59
2.486123303666795e-56
17.0ms
-1.0799718652206992e+55
-1.5516699908614758e+42
Results
61.0ms272×256valid
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 232 to 191 computations (17.7% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
12×+-commutative
add0
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02186
13386
23886
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(if (<=.f64 x -1600000000000000009920138320652453111922688) (/.f64 1/2 y) (if (<=.f64 x 2063677371661153/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 -1/2 x) (/.f64 1/2 y)))
(/.f64 -1/2 x)
Outputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(if (<=.f64 x -1600000000000000009920138320652453111922688) (/.f64 1/2 y) (if (<=.f64 x 2063677371661153/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 -1/2 x) (/.f64 1/2 y)))
(if (or (<=.f64 x -1600000000000000009920138320652453111922688) (not (<=.f64 x 2063677371661153/14134776518227074636666380005943348126619871175004951664972849610340958208))) (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 -1/2 x)
Compiler

Compiled 31 to 24 computations (22.6% saved)

soundness235.0ms (7.8%)

Rules
1154×associate-/l*
1102×div-sub
942×associate-*r/
916×fma-define
874×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028291
1106267
2435175
32143175
47410175
Stop Event
node limit

end0.0ms (0%)

preprocess110.0ms (3.7%)

Compiler

Compiled 94 to 68 computations (27.7% saved)

Profiling

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