Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 4.1s)

analyze22.0ms (0.5%)

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)

sample1.3s (32.7%)

Results
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Bogosity

preprocess259.0ms (6.4%)

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
630-2(-1.1236495443599291e-184 1.5146700599841592e-136)(/.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
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
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize32.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiled 20 to 14 computations (30% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite365.0ms (9%)

Algorithm
batch-egg-rewrite
Rules
1752×prod-diff
807×log1p-expm1-u
807×expm1-log1p-u
670×log-prod
586×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
113525
2209425
Stop Event
node limit
Counts
1 → 72
Calls
Call 1
Inputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
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 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2)))))
(*.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 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2))) (+.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))) (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2))))
(/.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 (fma.f64 1/2 (neg.f64 x) (*.f64 y 1/2)) (*.f64 y (neg.f64 x)))
(/.f64 (fma.f64 1/2 (*.f64 x -2) y) (*.f64 y (*.f64 x -2)))
(/.f64 (fma.f64 -1/2 (neg.f64 x) (*.f64 (neg.f64 y) 1/2)) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (fma.f64 -1/2 x (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) x))
(/.f64 (fma.f64 -1/2 (*.f64 x -2) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 x -2)))
(/.f64 (fma.f64 -1 x (*.f64 (*.f64 y 2) 1/2)) (*.f64 (*.f64 y 2) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 y 2) -1/2)) (*.f64 (*.f64 y 2) x))
(/.f64 (fma.f64 x -2 (*.f64 (*.f64 y 2) 1)) (*.f64 (*.f64 y 2) (*.f64 x -2)))
(/.f64 (fma.f64 1/2 y (*.f64 (neg.f64 x) 1/2)) (*.f64 (neg.f64 x) y))
(/.f64 (fma.f64 1/2 (neg.f64 y) (*.f64 (neg.f64 x) -1/2)) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 y 2) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 y 2)))
(/.f64 (fma.f64 -1/2 (neg.f64 y) (*.f64 x -1/2)) (*.f64 x (neg.f64 y)))
(/.f64 (fma.f64 -1/2 (*.f64 y 2) x) (*.f64 x (*.f64 y 2)))
(/.f64 (+.f64 y (*.f64 (*.f64 x -2) 1/2)) (*.f64 (*.f64 x -2) y))
(/.f64 (fma.f64 -1 y (*.f64 (*.f64 x -2) -1/2)) (*.f64 (*.f64 x -2) (neg.f64 y)))
(/.f64 (fma.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 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2)))))
(/.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)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 y)) (+.f64 1 (expm1.f64 (/.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (exp.f64 (/.f64 -1/2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (+.f64 1 (expm1.f64 (/.f64 -1/2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -1/2 x)) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 x))) (exp.f64 (/.f64 1/2 y))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))
(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 (neg.f64 x)) (/.f64 1/2 y))
(fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 x))
(fma.f64 -1/2 (/.f64 1 x) (/.f64 1/2 y))
(fma.f64 -1/2 (/.f64 1 (neg.f64 y)) (/.f64 -1/2 x))
(fma.f64 (/.f64 -1/2 x) 1 (/.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 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (/.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 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (/.f64 -1/2 x))
(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))
(fma.f64 (/.f64 1 x) -1/2 (/.f64 1/2 y))
(fma.f64 (/.f64 1 y) 1/2 (/.f64 -1/2 x))

simplify113.0ms (2.8%)

Algorithm
egg-herbie
Rules
1992×fma-def
1206×times-frac
784×distribute-lft-neg-in
390×sub-neg
352×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02183392
15653242
216163200
355393143
Stop Event
node limit
Counts
96 → 86
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 (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 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2)))))
(*.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 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2))) (+.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))) (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2))))
(/.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 (fma.f64 1/2 (neg.f64 x) (*.f64 y 1/2)) (*.f64 y (neg.f64 x)))
(/.f64 (fma.f64 1/2 (*.f64 x -2) y) (*.f64 y (*.f64 x -2)))
(/.f64 (fma.f64 -1/2 (neg.f64 x) (*.f64 (neg.f64 y) 1/2)) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (fma.f64 -1/2 x (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) x))
(/.f64 (fma.f64 -1/2 (*.f64 x -2) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 x -2)))
(/.f64 (fma.f64 -1 x (*.f64 (*.f64 y 2) 1/2)) (*.f64 (*.f64 y 2) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 y 2) -1/2)) (*.f64 (*.f64 y 2) x))
(/.f64 (fma.f64 x -2 (*.f64 (*.f64 y 2) 1)) (*.f64 (*.f64 y 2) (*.f64 x -2)))
(/.f64 (fma.f64 1/2 y (*.f64 (neg.f64 x) 1/2)) (*.f64 (neg.f64 x) y))
(/.f64 (fma.f64 1/2 (neg.f64 y) (*.f64 (neg.f64 x) -1/2)) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 y 2) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 y 2)))
(/.f64 (fma.f64 -1/2 (neg.f64 y) (*.f64 x -1/2)) (*.f64 x (neg.f64 y)))
(/.f64 (fma.f64 -1/2 (*.f64 y 2) x) (*.f64 x (*.f64 y 2)))
(/.f64 (+.f64 y (*.f64 (*.f64 x -2) 1/2)) (*.f64 (*.f64 x -2) y))
(/.f64 (fma.f64 -1 y (*.f64 (*.f64 x -2) -1/2)) (*.f64 (*.f64 x -2) (neg.f64 y)))
(/.f64 (fma.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 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2)))))
(/.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)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 y)) (+.f64 1 (expm1.f64 (/.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (exp.f64 (/.f64 -1/2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (+.f64 1 (expm1.f64 (/.f64 -1/2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -1/2 x)) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 x))) (exp.f64 (/.f64 1/2 y))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))
(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 (neg.f64 x)) (/.f64 1/2 y))
(fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 x))
(fma.f64 -1/2 (/.f64 1 x) (/.f64 1/2 y))
(fma.f64 -1/2 (/.f64 1 (neg.f64 y)) (/.f64 -1/2 x))
(fma.f64 (/.f64 -1/2 x) 1 (/.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 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (/.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 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (/.f64 -1/2 x))
(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))
(fma.f64 (/.f64 1 x) -1/2 (/.f64 1/2 y))
(fma.f64 (/.f64 1 y) 1/2 (/.f64 -1/2 x))
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))
(+.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 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.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 1/4 (pow.f64 y 2)) (/.f64 1/4 (pow.f64 x 2))) (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (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 y) (/.f64 -1/2 x)) 1)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.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 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.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 (/.f64 1/2 y) (/.f64 1/2 x))
(+.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 (/.f64 1/2 y) (/.f64 1/2 x))
(+.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 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(*.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2)))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (fma.f64 (/.f64 -1/2 x) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (pow.f64 y 2))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2))))
(*.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 (-.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 1/4 (pow.f64 y 2)) (/.f64 -1/4 (pow.f64 x 2))) (+.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 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2))) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3)))))
(*.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2)))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (fma.f64 (/.f64 -1/2 x) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (pow.f64 y 2))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2))))
(/.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 (-.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 1/4 (pow.f64 y 2)) (/.f64 -1/4 (pow.f64 x 2))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2))))
(*.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2)))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (fma.f64 (/.f64 -1/2 x) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (pow.f64 y 2))))
(/.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 -1/8 (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 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (+.f64 (/.f64 1/4 (pow.f64 y 2)) (+.f64 (/.f64 1/4 (pow.f64 x 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 1/4 (pow.f64 y 2)) (/.f64 -1/4 (pow.f64 x 2))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (fma.f64 1/2 (neg.f64 x) (*.f64 y 1/2)) (*.f64 y (neg.f64 x)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 1/2 (*.f64 x -2) y) (*.f64 y (*.f64 x -2)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 -1/2 (neg.f64 x) (*.f64 (neg.f64 y) 1/2)) (*.f64 (neg.f64 y) (neg.f64 x)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 -1/2 x (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) x))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 -1/2 (*.f64 x -2) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 x -2)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 -1 x (*.f64 (*.f64 y 2) 1/2)) (*.f64 (*.f64 y 2) (neg.f64 x)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (+.f64 x (*.f64 (*.f64 y 2) -1/2)) (*.f64 (*.f64 y 2) x))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 x -2 (*.f64 (*.f64 y 2) 1)) (*.f64 (*.f64 y 2) (*.f64 x -2)))
(/.f64 (fma.f64 x -2 (*.f64 y 2)) (*.f64 (*.f64 x -2) (*.f64 y 2)))
(/.f64 (fma.f64 y 2 (*.f64 x -2)) (*.f64 y (*.f64 -4 x)))
(/.f64 (*.f64 -2 (-.f64 x y)) (*.f64 y (*.f64 x -4)))
(/.f64 (fma.f64 1/2 y (*.f64 (neg.f64 x) 1/2)) (*.f64 (neg.f64 x) y))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 1/2 (neg.f64 y) (*.f64 (neg.f64 x) -1/2)) (*.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 1/2 (*.f64 y 2) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 y 2)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 -1/2 (neg.f64 y) (*.f64 x -1/2)) (*.f64 x (neg.f64 y)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 -1/2 (*.f64 y 2) x) (*.f64 x (*.f64 y 2)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (+.f64 y (*.f64 (*.f64 x -2) 1/2)) (*.f64 (*.f64 x -2) y))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 -1 y (*.f64 (*.f64 x -2) -1/2)) (*.f64 (*.f64 x -2) (neg.f64 y)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 y 2 (*.f64 (*.f64 x -2) 1)) (*.f64 (*.f64 x -2) (*.f64 y 2)))
(/.f64 (fma.f64 x -2 (*.f64 y 2)) (*.f64 (*.f64 x -2) (*.f64 y 2)))
(/.f64 (fma.f64 y 2 (*.f64 x -2)) (*.f64 y (*.f64 -4 x)))
(/.f64 (*.f64 -2 (-.f64 x y)) (*.f64 y (*.f64 x -4)))
(/.f64 (neg.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (neg.f64 (*.f64 y x)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(/.f64 (neg.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3)))) (neg.f64 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2)))))
(*.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2)))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (fma.f64 (/.f64 -1/2 x) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (pow.f64 y 2))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 y 3))) (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (pow.f64 y 2))))
(/.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 y 2)) (/.f64 1/4 (pow.f64 x 2))) (-.f64 (/.f64 1/2 y) (/.f64 -1/2 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 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 y 2))) (-.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 (/.f64 1/2 y) (/.f64 -1/2 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 (fma.f64 1/2 x (*.f64 y -1/2)) y) x)
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))
(*.f64 1/2 (/.f64 (-.f64 x y) (*.f64 y x)))
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
(pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 1)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3) 1/3)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2)
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 y)) (+.f64 1 (expm1.f64 (/.f64 -1/2 x)))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (exp.f64 (/.f64 -1/2 x))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (+.f64 1 (expm1.f64 (/.f64 -1/2 x)))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(log.f64 (*.f64 (exp.f64 (/.f64 -1/2 x)) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 x))) (exp.f64 (/.f64 1/2 y))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 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 1/2 y) (/.f64 -1/2 x))))
(-.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 y) (/.f64 -1/2 x))))
(-.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 y) (/.f64 -1/2 x))) 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 y) (/.f64 -1/2 x))))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 1/2 (/.f64 1 y) (/.f64 -1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 1/2 (/.f64 1 (neg.f64 x)) (/.f64 1/2 y))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 -1/2 (/.f64 1 x) (/.f64 1/2 y))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 -1/2 (/.f64 1 (neg.f64 y)) (/.f64 -1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 y))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 1 (/.f64 1/2 y) (/.f64 -1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 1 (/.f64 -1/2 x) (/.f64 1/2 y))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (/.f64 1/2 y))
(-.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 -1/2 x)) 2) (cbrt.f64 (/.f64 -1/2 x)) (/.f64 1/2 y))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (/.f64 -1/2 x))
(-.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 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.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))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (/.f64 1 x) -1/2 (/.f64 1/2 y))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (/.f64 1 y) 1/2 (/.f64 -1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

eval25.0ms (0.6%)

Compiler

Compiled 1184 to 873 computations (26.3% saved)

prune16.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New82486
Fresh000
Picked011
Done000
Total82587
Accuracy
100.0%
Counts
87 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) x)
47.6%
(/.f64 1/2 y)
54.3%
(/.f64 -1/2 x)
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
84.8%
(*.f64 1/2 (/.f64 (-.f64 1 (/.f64 y x)) y))
Compiler

Compiled 42 to 31 computations (26.2% saved)

localize178.0ms (4.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
90.0%
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) x)
84.8%
(/.f64 (-.f64 1 (/.f64 y x)) y)
Compiler

Compiled 72 to 41 computations (43.1% saved)

series21.0ms (0.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
6.0ms
y
@0
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
6.0ms
x
@inf
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
2.0ms
y
@inf
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) x)
1.0ms
x
@-inf
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) x)
1.0ms
y
@-inf
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) x)

rewrite150.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1120×prod-diff
871×log1p-expm1-u
801×expm1-log1p-u
402×expm1-udef
400×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01897
123097
2337797
Stop Event
node limit
Counts
3 → 153
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (/.f64 y x)) y)
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) x)
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
Outputs
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 y (*.f64 y x))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 y (*.f64 y x)) 1))) (fma.f64 (neg.f64 (/.f64 y (*.f64 y x))) 1 (*.f64 (/.f64 y (*.f64 y x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 1 y) (/.f64 y x)))) (fma.f64 (neg.f64 (/.f64 1 y)) (/.f64 y x) (*.f64 (/.f64 1 y) (/.f64 y x))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (cbrt.f64 (/.f64 y (*.f64 y x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (*.f64 y x)))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (cbrt.f64 (/.f64 y (*.f64 y x)))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (cbrt.f64 (/.f64 y (*.f64 y x)))))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (/.f64 y (*.f64 y x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 y x)))) (sqrt.f64 (/.f64 y (*.f64 y x))) (/.f64 y (*.f64 y x))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (/.f64 y (*.f64 y x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 y))) (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 y)) (/.f64 y (*.f64 y x))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 (/.f64 y x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 y x) (cbrt.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 (/.f64 y x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))
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(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 y x)) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 y x)) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y x)) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 y x)) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 y x)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 y x)) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 y x)) y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)))) 1)
(*.f64 1 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 (*.f64 y x)))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 (/.f64 1 y) (/.f64 1 x)))
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(*.f64 (/.f64 (neg.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) x) (/.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) x) (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) 1) (/.f64 (/.f64 1 y) x))
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (sqrt.f64 x)) (/.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) 2)
(pow.f64 (*.f64 x (/.f64 y (fma.f64 1/2 x (*.f64 y -1/2)))) -1)
(neg.f64 (/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y))) 1)
(*.f64 1 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 y))
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (*.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(*.f64 (neg.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (fma.f64 1/2 x (*.f64 y -1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (cbrt.f64 y)))
(pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2)
(pow.f64 (/.f64 y (fma.f64 1/2 x (*.f64 y -1/2))) -1)
(neg.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 x (*.f64 y -1/2)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))

simplify139.0ms (3.4%)

Algorithm
egg-herbie
Rules
1744×fma-def
688×log-prod
392×cube-prod
390×exp-prod
380×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043710121
111288558
241607324
Stop Event
node limit
Counts
225 → 203
Calls
Call 1
Inputs
(/.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 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 -1/2 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)))
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(*.f64 1/2 (/.f64 x y))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(*.f64 1/2 (/.f64 x y))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(*.f64 1/2 (/.f64 x y))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 y (*.f64 y x))))
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(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 1 y) (/.f64 y x)))) (fma.f64 (neg.f64 (/.f64 1 y)) (/.f64 y x) (*.f64 (/.f64 1 y) (/.f64 y x))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (cbrt.f64 (/.f64 y (*.f64 y x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (*.f64 y x)))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (cbrt.f64 (/.f64 y (*.f64 y x)))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (cbrt.f64 (/.f64 y (*.f64 y x)))))))
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(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 (/.f64 y x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (/.f64 y x) (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 (/.f64 y x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
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(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y)) (/.f64 y (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y))) (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 y)) (/.f64 y (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 y)) (/.f64 y (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 x) (sqrt.f64 y))) (/.f64 y (sqrt.f64 y)) (*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) y) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 y x)) y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) y) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(*.f64 (/.f64 (neg.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) x) (/.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) x) (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) 1) (/.f64 (/.f64 1 y) x))
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (sqrt.f64 x)) (/.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) 2)
(pow.f64 (*.f64 x (/.f64 y (fma.f64 1/2 x (*.f64 y -1/2)))) -1)
(neg.f64 (/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y))) 1)
(*.f64 1 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y))
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 y))
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (*.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(*.f64 (neg.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (fma.f64 1/2 x (*.f64 y -1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (cbrt.f64 y)))
(pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2)
(pow.f64 (/.f64 y (fma.f64 1/2 x (*.f64 y -1/2))) -1)
(neg.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 x (*.f64 y -1/2)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
Outputs
(/.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 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 -1/2 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))
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(/.f64 1/2 (/.f64 y x))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(/.f64 1/2 (/.f64 y x))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(/.f64 1/2 (/.f64 y x))
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(-.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 y (*.f64 y x))))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 y (*.f64 y x)) 1))) (fma.f64 (neg.f64 (/.f64 y (*.f64 y x))) 1 (*.f64 (/.f64 y (*.f64 y x)) 1)))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 1 y) (/.f64 y x)))) (fma.f64 (neg.f64 (/.f64 1 y)) (/.f64 y x) (*.f64 (/.f64 1 y) (/.f64 y x))))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (cbrt.f64 (/.f64 y (*.f64 y x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (*.f64 y x)))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (cbrt.f64 (/.f64 y (*.f64 y x)))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 y x))) (cbrt.f64 (/.f64 y (*.f64 y x)))))))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (/.f64 y (*.f64 y x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 y x)))) (sqrt.f64 (/.f64 y (*.f64 y x))) (/.f64 y (*.f64 y x))))
(-.f64 (/.f64 1 y) (/.f64 1 x))
(+.f64 (/.f64 1 y) (/.f64 -1 x))
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(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (/.f64 1 y))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 1)
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (/.f64 1 y)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (*.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (/.f64 1 y)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (neg.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (/.f64 1 (neg.f64 y)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (/.f64 1 y) (fma.f64 1/2 x (*.f64 y -1/2)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (cbrt.f64 y)))
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (sqrt.f64 y)))
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (sqrt.f64 y)))
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) y))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x (*.f64 y -1/2))) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (cbrt.f64 y)))
(/.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 1)
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 3)
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 3) 1/3)
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 2)
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(pow.f64 (/.f64 y (fma.f64 1/2 x (*.f64 y -1/2))) -1)
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(neg.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (neg.f64 y)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 2))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y))))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y) 3))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 x (*.f64 y -1/2)) 3) (pow.f64 y 3)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)) 1))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)))
(/.f64 (fma.f64 1/2 x (*.f64 y -1/2)) y)
(/.f64 (fma.f64 y -1/2 (*.f64 x 1/2)) y)

eval104.0ms (2.6%)

Compiler

Compiled 4868 to 2576 computations (47.1% saved)

prune36.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2021203
Fresh000
Picked224
Done011
Total2044208
Accuracy
100.0%
Counts
208 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) 1/2) x)
47.6%
(/.f64 1/2 y)
54.3%
(/.f64 -1/2 x)
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize101.0ms (2.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 1/2 (/.f64 x y))
90.0%
(/.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) 1/2) x)
Compiler

Compiled 30 to 16 computations (46.7% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

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

rewrite144.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
892×log1p-expm1-u
892×expm1-log1p-u
882×log-prod
446×fma-def
342×log-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
116049
2230649
Stop Event
node limit
Counts
2 → 149
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) 1/2) x)
(*.f64 1/2 (/.f64 x y))
Outputs
(+.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (/.f64 1/2 x)))
(+.f64 0 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (/.f64 (*.f64 1/2 x) y) (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (*.f64 1/2 x) y) (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (*.f64 1/2 x) y) (/.f64 1 x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 1 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 1 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 1 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x))) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x))) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x))) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
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(fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x))) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1/2 x) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (*.f64 1/2 x) y) (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 (*.f64 1/2 x) y) (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) x) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) 1) (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) x) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(+.f64 0 (/.f64 (*.f64 1/2 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y))) 1)
(/.f64 1/2 (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 1/2 x)))
(/.f64 (*.f64 1/2 x) y)
(/.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 y))
(/.f64 (*.f64 1/2 (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) 1/2) (neg.f64 y))
(/.f64 (/.f64 (*.f64 1/2 x) 1) y)
(/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (*.f64 1/2 x) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) 2)
(pow.f64 (/.f64 y (*.f64 1/2 x)) -1)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y))) 2))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 x) y)))

simplify325.0ms (8%)

Algorithm
egg-herbie
Rules
994×associate-/l*
736×unswap-sqr
696×times-frac
652×distribute-lft-in
630×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03737567
18937120
223366010
Stop Event
node limit
Counts
173 → 184
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 (fma.f64 1/2 (/.f64 x y) -1/2) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (/.f64 1/2 x)))
(+.f64 0 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (/.f64 (*.f64 1/2 x) y) (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (*.f64 1/2 x) y) (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (*.f64 1/2 x) y) (/.f64 1 x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 1 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 1 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 1 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x))) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x))) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x))) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1/2 x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (*.f64 1/2 x) y) (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
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(pow.f64 (/.f64 (*.f64 1/2 x) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) 2)
(pow.f64 (/.f64 y (*.f64 1/2 x)) -1)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y))) 2))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 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 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 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 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 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 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 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 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 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 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 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 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 -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 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 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 -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 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 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 (fma.f64 1/2 (/.f64 x y) -1/2) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 0 (/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 (*.f64 1/2 x) y) (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 (*.f64 1/2 x) y) (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 (*.f64 1/2 x) y) (/.f64 1 x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 1 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 1 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 1 (/.f64 (/.f64 (*.f64 1/2 x) y) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x))) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x))) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x))) (cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (sqrt.f64 (/.f64 (/.f64 (*.f64 1/2 x) y) x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 (cbrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 y (cbrt.f64 x))) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 y (cbrt.f64 x))) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 (cbrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 y (cbrt.f64 x))) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 y (cbrt.f64 x))) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 (cbrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 y (cbrt.f64 x))) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 y (cbrt.f64 x))) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (fma.f64 (/.f64 (/.f64 x y) 1) (/.f64 1/2 x) (neg.f64 (*.f64 (/.f64 1/2 x) 1))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (*.f64 (/.f64 1/2 x) 1)))
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(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 y (cbrt.f64 x))) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 y (cbrt.f64 x))) (/.f64 -1/2 x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (*.f64 1/2 x) y) (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 (cbrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 y (cbrt.f64 x))) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (*.f64 y (cbrt.f64 x))) (/.f64 -1/2 x))
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 (*.f64 1/2 x) y) (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x)))
(fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) x) (neg.f64 (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) (cbrt.f64 x)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 x)) (/.f64 -1/2 x)))
(+.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 x)) 3))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) (sqrt.f64 x)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (/.f64 -1/2 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) 1) (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) x) (neg.f64 (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) (cbrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)) (cbrt.f64 x)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 x)) (/.f64 -1/2 x)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) (sqrt.f64 x)) (neg.f64 (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)) (sqrt.f64 x)) (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 1 x) 0) (fma.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (/.f64 -1/2 x)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (/.f64 -1/2 x))
(+.f64 0 (/.f64 (*.f64 1/2 x) y))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y))) 1)
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(/.f64 1/2 (/.f64 y x))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(/.f64 1 (/.f64 y (*.f64 1/2 x)))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(/.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 y))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(/.f64 (*.f64 1/2 (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(/.f64 (*.f64 (neg.f64 x) 1/2) (neg.f64 y))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 1/2 x) 1) y)
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(pow.f64 (/.f64 (*.f64 1/2 x) y) 1)
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 3)
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3) 1/3)
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) 2)
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(pow.f64 (/.f64 y (*.f64 1/2 x)) -1)
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 x) y))))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(exp.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 1))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 1) 1))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) 3))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 3) 1/3))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3)) 1/3))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y))) 2))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 x) y)))
(*.f64 (/.f64 1/2 y) x)
(*.f64 x (/.f64 1/2 y))

eval121.0ms (3%)

Compiler

Compiled 4384 to 3034 computations (30.8% saved)

prune85.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1840184
Fresh000
Picked011
Done033
Total1844188
Accuracy
100.0%
Counts
188 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) 1/2) x)
47.6%
(/.f64 1/2 y)
54.3%
(/.f64 -1/2 x)
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 82 to 57 computations (30.5% saved)

regimes58.0ms (1.4%)

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

3 calls:

48.0ms
x
5.0ms
y
5.0ms
(/.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)

regimes25.0ms (0.6%)

Counts
2 → 5
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)
(/.f64 1/2 y)
(/.f64 -1/2 x)
Calls

2 calls:

16.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
77.1%3x
80.9%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
54.3%1x
54.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch97.0ms (2.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
404686090361.184
33065405885007.688
23.0ms
-7.952337447764787e-42
-1.3571553825761616e-63
15.0ms
-1.8324098905985197e-8
-6.514859983474636e-13
37.0ms
-2.0975972011475937e+51
-4.286278018635669e+46
Results
88.0ms528×256valid
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 424 to 351 computations (17.2% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
027130
133127
236124
342120
446120
550120
651120
752120
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(if (<=.f64 y -10500000000000000541510990387906753919446505488384) (/.f64 -1/2 x) (if (<=.f64 y -1887858559910205/154742504910672534362390528) (/.f64 1/2 y) (if (<=.f64 y -7964242057434637/3291009114642412084309938365114701009965471731267159726697218048) (/.f64 -1/2 x) (if (<=.f64 y 6500000000000) (/.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 -10500000000000000541510990387906753919446505488384) (/.f64 -1/2 x) (if (<=.f64 y -1887858559910205/154742504910672534362390528) (/.f64 1/2 y) (if (<=.f64 y -7964242057434637/3291009114642412084309938365114701009965471731267159726697218048) (/.f64 -1/2 x) (if (<=.f64 y 6500000000000) (/.f64 1/2 y) (/.f64 -1/2 x)))))
(if (<=.f64 y -10500000000000000541510990387906753919446505488384) (/.f64 -1/2 x) (if (<=.f64 y -1887858559910205/154742504910672534362390528) (/.f64 1/2 y) (if (or (<=.f64 y -7964242057434637/3291009114642412084309938365114701009965471731267159726697218048) (not (<=.f64 y 6500000000000))) (/.f64 -1/2 x) (/.f64 1/2 y))))
(if (<=.f64 y -10500000000000000541510990387906753919446505488384) (/.f64 -1/2 x) (if (or (<=.f64 y -1887858559910205/154742504910672534362390528) (not (or (<=.f64 y -7964242057434637/3291009114642412084309938365114701009965471731267159726697218048) (not (<=.f64 y 6500000000000))))) (/.f64 1/2 y) (/.f64 -1/2 x)))
(if (or (<=.f64 y -10500000000000000541510990387906753919446505488384) (not (or (<=.f64 y -1887858559910205/154742504910672534362390528) (not (or (<=.f64 y -7964242057434637/3291009114642412084309938365114701009965471731267159726697218048) (not (<=.f64 y 6500000000000))))))) (/.f64 -1/2 x) (/.f64 1/2 y))
(if (or (<=.f64 y -10500000000000000541510990387906753919446505488384) (not (or (<=.f64 y -1887858559910205/154742504910672534362390528) (and (not (<=.f64 y -7964242057434637/3291009114642412084309938365114701009965471731267159726697218048)) (<=.f64 y 6500000000000))))) (/.f64 -1/2 x) (/.f64 1/2 y))
(if (or (<=.f64 y -10500000000000000541510990387906753919446505488384) (and (not (<=.f64 y -1887858559910205/154742504910672534362390528)) (or (<=.f64 y -7964242057434637/3291009114642412084309938365114701009965471731267159726697218048) (not (<=.f64 y 6500000000000))))) (/.f64 -1/2 x) (/.f64 1/2 y))
(/.f64 -1/2 x)
Compiler

Compiled 40 to 31 computations (22.5% saved)

soundness213.0ms (5.2%)

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%)

preprocess90.0ms (2.2%)

Compiler

Compiled 112 to 82 computations (26.8% saved)

Profiling

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