Linear.Projection:inversePerspective from linear-1.19.1.3, C

Time bar (total: 3.9s)

analyze29.0ms (0.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample953.0ms (24.7%)

Results
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Bogosity

preprocess175.0ms (4.6%)

Algorithm
egg-herbie
Rules
1790×div-sub
832×distribute-rgt-in
832×distribute-lft-in
618×sub-neg
578×fma-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
670-2(-3.4868237473968463e-126 -3.5150571232111922e-189)(/.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: 4 (0.0ms)

IterNodesCost
028283
174259
2222259
3874235
42917193
57016193
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 (*.f64 x -2)) (/.f64 -1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 -1 (*.f64 x -2)))
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))
(-.f64 (/.f64 -1 (*.f64 x -2)) (/.f64 -1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 -1 (*.f64 x -2)))
(/.f64 (+.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) 2) y))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 y (*.f64 2 (neg.f64 x))))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))
(*.f64 -1/2 (/.f64 (-.f64 y x) (*.f64 x y)))
(+.f64 (/.f64 1/2 y) (/.f64 -1 (*.f64 x 2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 (+.f64 x (neg.f64 y)) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y 2)))
(+.f64 (/.f64 -1 (*.f64 x -2)) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) 2) y)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y 2)))
(+.f64 (/.f64 -1 (*.f64 x -2)) (/.f64 -1/2 y))
(-.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (*.f64 (*.f64 x 2) (neg.f64 y))))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 y (*.f64 2 (neg.f64 x))))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))
(*.f64 -1/2 (/.f64 (-.f64 y x) (*.f64 x y)))
(+.f64 (/.f64 1/2 y) (/.f64 -1 (*.f64 x 2)))
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 (+.f64 y x) (*.f64 (*.f64 y 2) x))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))
(-.f64 (/.f64 -1 (*.f64 x -2)) (/.f64 -1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 -1 (*.f64 x -2)))
Symmetry

(sort x y)

Compiler

Compiled 63 to 35 computations (44.4% saved)

eval1.0ms (0%)

Compiler

Compiled 29 to 21 computations (27.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
100.0%
(-.f64 (/.f64 -1 (*.f64 x -2)) (/.f64 -1/2 y))
Compiler

Compiled 22 to 16 computations (27.3% saved)

localize70.0ms (1.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
75.8%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
100.0%
(-.f64 (/.f64 -1 (*.f64 x -2)) (/.f64 -1/2 y))
Compiler

Compiled 51 to 32 computations (37.3% saved)

series14.0ms (0.4%)

Counts
2 → 48
Calls

12 calls:

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

rewrite484.0ms (12.6%)

Algorithm
batch-egg-rewrite
Rules
990×fma-define
859×log1p-expm1-u
859×expm1-log1p-u
428×fma-neg
212×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01962
126150
2452550
Stop Event
node limit
Counts
2 → 505
Calls
Call 1
Inputs
(-.f64 (/.f64 -1 (*.f64 x -2)) (/.f64 -1/2 y))
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Outputs
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 -1/2 x) (*.f64 (/.f64 1/2 y) 1))
(+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (/.f64 -1/2 x) (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 1)
(*.f64 (+.f64 x y) (/.f64 (/.f64 -1/2 x) y))
(*.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 2) (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (/.f64 -1/2 x) y)))
(*.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 2) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (sqrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 -1/2 x) y)))
(*.f64 (fma.f64 -1 y x) (/.f64 (/.f64 -1/2 x) y))
(*.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 3) (/.f64 -1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (pow.f64 (/.f64 -1/2 x) 2))))
(*.f64 (/.f64 1 y) (*.f64 (+.f64 x y) (/.f64 -1/2 x)))
(*.f64 (/.f64 (/.f64 -1/2 x) y) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (/.f64 1 y))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 x y) (*.f64 y 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 x (*.f64 y 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) x) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 y 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) y) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 x -2)) (/.f64 (cbrt.f64 (+.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x (*.f64 y 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)) (/.f64 (sqrt.f64 (+.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y 2)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (pow.f64 (/.f64 -1/2 x) 2)) (-.f64 (pow.f64 (/.f64 -1/2 x) 3) (/.f64 -1/8 (pow.f64 y 3)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 2)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 1))
(/.f64 1 (/.f64 y (*.f64 (+.f64 x y) (/.f64 -1/2 x))))
(/.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 2) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(/.f64 (fma.f64 -1 y x) (*.f64 x (*.f64 y 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (*.f64 x (*.f64 y 2)) (fma.f64 y (-.f64 y x) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 3) (/.f64 -1/8 (pow.f64 y 3))) (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (pow.f64 (/.f64 -1/2 x) 2)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 x (*.f64 y 2)) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) y)
(/.f64 (fma.f64 -1 (*.f64 y -2) (*.f64 x -2)) (*.f64 (*.f64 x -2) (*.f64 y -2)))
(/.f64 (fma.f64 -1 (neg.f64 y) (*.f64 (*.f64 x -2) 1/2)) (*.f64 x (*.f64 y 2)))
(/.f64 (fma.f64 -1 y (*.f64 (*.f64 x -2) 1/2)) (*.f64 x (*.f64 y 2)))
(/.f64 (fma.f64 y -2 (*.f64 x -2)) (*.f64 (*.f64 x -2) (*.f64 y -2)))
(/.f64 (fma.f64 (/.f64 -1 x) y 1) (*.f64 -2 y))
(/.f64 (fma.f64 (/.f64 -1 x) (*.f64 y -2) -2) (*.f64 -2 (*.f64 y -2)))
(/.f64 (fma.f64 (/.f64 -1 x) (neg.f64 y) -1) (*.f64 -2 (neg.f64 y)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 y)) (*.f64 (*.f64 x -2) 1/2)) (*.f64 x (*.f64 y 2)))
(/.f64 (-.f64 (neg.f64 y) (*.f64 (*.f64 x -2) 1/2)) (*.f64 x (*.f64 y 2)))
(/.f64 (fma.f64 (/.f64 -1 x) y -1) (*.f64 -2 y))
(/.f64 (fma.f64 (/.f64 -1 x) (*.f64 y -2) 2) (*.f64 -2 (*.f64 y -2)))
(/.f64 (fma.f64 (/.f64 -1 x) (neg.f64 y) 1) (*.f64 -2 (neg.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x 2)) (*.f64 x (*.f64 y 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (*.f64 (-.f64 x y) (*.f64 x (*.f64 y 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 3) (/.f64 -1/8 (pow.f64 y 3)))) (neg.f64 (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (pow.f64 (/.f64 -1/2 x) 2))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 2)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(/.f64 (neg.f64 (fma.f64 -1 y x)) (*.f64 x (*.f64 y 2)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x))) (neg.f64 y))
(/.f64 (/.f64 (+.f64 x y) y) (*.f64 x -2))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (sqrt.f64 (*.f64 x (*.f64 y 2))))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
(/.f64 (+.f64 (pow.f64 (/.f64 -1/2 x) 3) (/.f64 -1/8 (pow.f64 y 3))) (+.f64 (pow.f64 (/.f64 -1/2 x) 2) (-.f64 (/.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 -1/2 x) 3) (pow.f64 (/.f64 1/2 y) 3)) (+.f64 (pow.f64 (/.f64 -1/2 x) 2) (-.f64 (*.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (*.f64 (/.f64 -1/2 x) (/.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 (/.f64 1/2 y) (/.f64 1/2 y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (/.f64 -1/2 x) y)) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (/.f64 -1/2 x) y)) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x y) 1) (*.f64 x (*.f64 y 2)))
(/.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (cbrt.f64 (*.f64 x (*.f64 y 2))))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) 1) y)
(/.f64 (/.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 2)
(pow.f64 (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) -1)
(neg.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
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(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2)) (cbrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 x))

simplify443.0ms (11.5%)

Algorithm
egg-herbie
Rules
1812×fma-define
812×unswap-sqr
698×cancel-sign-sub-inv
588×distribute-lft-neg-in
566×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046732386
1117827049
2385325993
Stop Event
node limit
Counts
553 → 354
Calls
Call 1
Inputs
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 -1/2 x) (*.f64 (/.f64 1/2 y) 1))
(+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 (/.f64 -1/2 x) (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 1)
(*.f64 (+.f64 x y) (/.f64 (/.f64 -1/2 x) y))
(*.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 2) (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (/.f64 -1/2 x) y)))
(*.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 2) (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (sqrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 -1/2 x) y)))
(*.f64 (fma.f64 -1 y x) (/.f64 (/.f64 -1/2 x) y))
(*.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 3) (/.f64 -1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (pow.f64 (/.f64 -1/2 x) 2))))
(*.f64 (/.f64 1 y) (*.f64 (+.f64 x y) (/.f64 -1/2 x)))
(*.f64 (/.f64 (/.f64 -1/2 x) y) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (/.f64 1 y))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 x y) (*.f64 y 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 x (*.f64 y 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) x) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 y 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) y) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 x -2)) (/.f64 (cbrt.f64 (+.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x (*.f64 y 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)) (/.f64 (sqrt.f64 (+.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y 2)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (pow.f64 (/.f64 -1/2 x) 2)) (-.f64 (pow.f64 (/.f64 -1/2 x) 3) (/.f64 -1/8 (pow.f64 y 3)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 2)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 1))
(/.f64 1 (/.f64 y (*.f64 (+.f64 x y) (/.f64 -1/2 x))))
(/.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 2) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(/.f64 (fma.f64 -1 y x) (*.f64 x (*.f64 y 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (*.f64 x (*.f64 y 2)) (fma.f64 y (-.f64 y x) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 3) (/.f64 -1/8 (pow.f64 y 3))) (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (pow.f64 (/.f64 -1/2 x) 2)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 x (*.f64 y 2)) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) y)
(/.f64 (fma.f64 -1 (*.f64 y -2) (*.f64 x -2)) (*.f64 (*.f64 x -2) (*.f64 y -2)))
(/.f64 (fma.f64 -1 (neg.f64 y) (*.f64 (*.f64 x -2) 1/2)) (*.f64 x (*.f64 y 2)))
(/.f64 (fma.f64 -1 y (*.f64 (*.f64 x -2) 1/2)) (*.f64 x (*.f64 y 2)))
(/.f64 (fma.f64 y -2 (*.f64 x -2)) (*.f64 (*.f64 x -2) (*.f64 y -2)))
(/.f64 (fma.f64 (/.f64 -1 x) y 1) (*.f64 -2 y))
(/.f64 (fma.f64 (/.f64 -1 x) (*.f64 y -2) -2) (*.f64 -2 (*.f64 y -2)))
(/.f64 (fma.f64 (/.f64 -1 x) (neg.f64 y) -1) (*.f64 -2 (neg.f64 y)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 y)) (*.f64 (*.f64 x -2) 1/2)) (*.f64 x (*.f64 y 2)))
(/.f64 (-.f64 (neg.f64 y) (*.f64 (*.f64 x -2) 1/2)) (*.f64 x (*.f64 y 2)))
(/.f64 (fma.f64 (/.f64 -1 x) y -1) (*.f64 -2 y))
(/.f64 (fma.f64 (/.f64 -1 x) (*.f64 y -2) 2) (*.f64 -2 (*.f64 y -2)))
(/.f64 (fma.f64 (/.f64 -1 x) (neg.f64 y) 1) (*.f64 -2 (neg.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x 2)) (*.f64 x (*.f64 y 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (*.f64 (-.f64 x y) (*.f64 x (*.f64 y 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 3) (/.f64 -1/8 (pow.f64 y 3)))) (neg.f64 (fma.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) (pow.f64 (/.f64 -1/2 x) 2))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 2)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(/.f64 (neg.f64 (fma.f64 -1 y x)) (*.f64 x (*.f64 y 2)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x))) (neg.f64 y))
(/.f64 (/.f64 (+.f64 x y) y) (*.f64 x -2))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (sqrt.f64 (*.f64 x (*.f64 y 2))))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
(/.f64 (+.f64 (pow.f64 (/.f64 -1/2 x) 3) (/.f64 -1/8 (pow.f64 y 3))) (+.f64 (pow.f64 (/.f64 -1/2 x) 2) (-.f64 (/.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 -1/2 x) 3) (pow.f64 (/.f64 1/2 y) 3)) (+.f64 (pow.f64 (/.f64 -1/2 x) 2) (-.f64 (*.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (*.f64 (/.f64 -1/2 x) (/.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 (/.f64 1/2 y) (/.f64 1/2 y))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (/.f64 -1/2 x) y)) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (/.f64 -1/2 x) y)) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x y) 1) (*.f64 x (*.f64 y 2)))
(/.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (cbrt.f64 (*.f64 x (*.f64 y 2))))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) 1) y)
(/.f64 (/.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 2)
(pow.f64 (/.f64 1 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) -1)
(neg.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -1/2 x)) (exp.f64 (/.f64 -1/2 y))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x (*.f64 y 2)) 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(exp.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) 1))
(fma.f64 -1 (/.f64 -1/2 x) (/.f64 -1/2 y))
(fma.f64 -1 (/.f64 -1/2 x) (/.f64 1/2 y))
(fma.f64 -1 (/.f64 -1/2 x) (*.f64 (/.f64 1/2 y) 1))
(fma.f64 -1 (/.f64 -1/2 y) (/.f64 -1/2 x))
(fma.f64 (/.f64 -1/2 x) -1 (/.f64 -1/2 y))
(fma.f64 (/.f64 -1/2 x) -1 (/.f64 1/2 y))
(fma.f64 (/.f64 -1/2 x) -1 (*.f64 (/.f64 1/2 y) 1))
(fma.f64 (/.f64 -1/2 x) 1 (/.f64 -1/2 y))
(fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 y))
(fma.f64 (/.f64 -1/2 x) 1 (*.f64 (/.f64 1/2 y) 1))
(fma.f64 (/.f64 -1/2 x) (/.f64 (+.f64 x y) y) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 -1/2 x) (/.f64 (+.f64 x y) y) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 -1/2 x) (/.f64 (+.f64 x y) y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 -1/2 x) (/.f64 (+.f64 x y) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 -1/2 (/.f64 1 y) (/.f64 -1/2 x))
(fma.f64 -1/2 (neg.f64 (/.f64 1 y)) (/.f64 -1/2 x))
(fma.f64 (/.f64 -1/2 y) 1 (/.f64 -1/2 x))
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(fma.f64 (/.f64 1 y) (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 y) (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 y) (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (/.f64 -1/2 x) y) (+.f64 x y) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (/.f64 -1/2 x) y) (+.f64 x y) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (/.f64 -1/2 x) y) (+.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (/.f64 -1/2 x) y) (+.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 -1 x) -1/2 (/.f64 -1/2 y))
(fma.f64 (/.f64 -1 x) -1/2 (/.f64 1/2 y))
(fma.f64 (/.f64 -1 x) -1/2 (*.f64 (/.f64 1/2 y) 1))
(fma.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (/.f64 1 y) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (/.f64 1 y) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (/.f64 1 y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (*.f64 (+.f64 x y) (/.f64 -1/2 x)) (/.f64 1 y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 x))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 (/.f64 1/2 y))) (cbrt.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))
(fma.f64 (/.f64 1 x) (/.f64 (+.f64 x y) (*.f64 y 2)) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 x) (/.f64 (+.f64 x y) (*.f64 y 2)) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 x) (/.f64 (+.f64 x y) (*.f64 y 2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 x) (/.f64 (+.f64 x y) (*.f64 y 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 1 (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) x) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 y 2)) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) x) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 y 2)) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) x) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 y 2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) x) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 y 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) y) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x -2)) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) y) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x -2)) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) y) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) y) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x -2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 x -2)) (/.f64 (cbrt.f64 (+.f64 x y)) y) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 x -2)) (/.f64 (cbrt.f64 (+.f64 x y)) y) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 x -2)) (/.f64 (cbrt.f64 (+.f64 x y)) y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 x -2)) (/.f64 (cbrt.f64 (+.f64 x y)) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (cbrt.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y 2)) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y 2)) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y 2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y 2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)) (/.f64 (sqrt.f64 (+.f64 x y)) y) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)) (/.f64 (sqrt.f64 (+.f64 x y)) y) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)) (/.f64 (sqrt.f64 (+.f64 x y)) y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x -2)) (/.f64 (sqrt.f64 (+.f64 x y)) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (neg.f64 (/.f64 1 y)) -1/2 (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2)) (cbrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 x))
Outputs
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
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(/.f64 1/2 y)
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(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 y)) (sqrt.f64 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (/.f64 -1 y) -1/2 (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 y)) (sqrt.f64 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (/.f64 1/2 y) 1 (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 y)) (sqrt.f64 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (/.f64 -1 y) -1/2 (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 y)) (sqrt.f64 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (/.f64 -1/2 y)) 2) (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 y)) (sqrt.f64 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (/.f64 -1 y) -1/2 (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 y)) (sqrt.f64 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 y))) (sqrt.f64 (/.f64 -1/2 y)) (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 y)) (sqrt.f64 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (fma.f64 (/.f64 -1 y) -1/2 (/.f64 -1/2 y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 y)) (sqrt.f64 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 y))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 y)) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(fma.f64 (neg.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))

eval142.0ms (3.7%)

Compiler

Compiled 6914 to 4546 computations (34.2% saved)

prune114.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3504354
Fresh000
Picked112
Done000
Total3515356
Accuracy
100.0%
Counts
356 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
75.8%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
50.7%
(/.f64 1/2 y)
50.2%
(/.f64 1/2 x)
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize164.0ms (4.3%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 x y) x)
88.5%
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
Compiler

Compiled 52 to 27 computations (48.1% saved)

series11.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

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

rewrite141.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
991×log1p-expm1-u
991×expm1-log1p-u
910×fma-define
484×fma-neg
166×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01684
123984
2413884
Stop Event
node limit
Counts
3 → 158
Calls
Call 1
Inputs
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
(/.f64 (+.f64 x y) 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 1/2 (+.f64 (/.f64 1 y) (/.f64 1 x)))
(*.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 1 y)))
(*.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 1/2 y)) (/.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 1/2 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 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 1/2 y)) (*.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 (*.f64 x 2) y) (*.f64 y (*.f64 x 2)))
(/.f64 (fma.f64 1/2 (neg.f64 x) (*.f64 y -1/2)) (*.f64 y (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 y 2) 1/2)) (*.f64 y (*.f64 2 x)))
(/.f64 (fma.f64 x 2 (*.f64 y 2)) (*.f64 (*.f64 y 2) (*.f64 x 2)))
(/.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 (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 -1/2 (neg.f64 x) (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (fma.f64 1/2 (*.f64 y 2) x) (*.f64 y (*.f64 2 x)))
(/.f64 (fma.f64 1/2 (neg.f64 y) (*.f64 x -1/2)) (*.f64 x (neg.f64 y)))
(/.f64 (+.f64 y (*.f64 (*.f64 x 2) 1/2)) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 y 2 (*.f64 (*.f64 x 2) 1)) (*.f64 (*.f64 x 2) (*.f64 y 2)))
(/.f64 (fma.f64 -1 y (*.f64 (*.f64 x 2) -1/2)) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) 1/2)) (*.f64 (neg.f64 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 (neg.f64 y) (*.f64 (neg.f64 x) -1/2)) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (neg.f64 (fma.f64 1/2 x (*.f64 1/2 y))) (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 1/2 y)) y) x)
(pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 1))
(fma.f64 1/2 (/.f64 1 x) (/.f64 1/2 y))
(fma.f64 1/2 (/.f64 1 y) (/.f64 1/2 x))
(fma.f64 (/.f64 1/2 y) 1 (/.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 -1/2 (/.f64 1 (neg.f64 x)) (/.f64 1/2 y))
(fma.f64 -1/2 (/.f64 1 (neg.f64 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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))))) 1)
(*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))
(*.f64 (/.f64 1/2 y) (/.f64 (+.f64 y x) x))
(*.f64 (+.f64 y x) (/.f64 (/.f64 1 x) (*.f64 y 2)))
(*.f64 (+.f64 y x) (/.f64 1 (*.f64 y (*.f64 2 x))))
(*.f64 (+.f64 y x) (*.f64 (/.f64 1 x) (/.f64 1/2 y)))
(*.f64 (/.f64 (+.f64 y x) x) (/.f64 1/2 y))
(*.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))) 1)
(*.f64 1 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) (/.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) (*.f64 y 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) (/.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (/.f64 (cbrt.f64 (+.f64 y x)) (*.f64 y (*.f64 2 x))))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) (sqrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (*.f64 y 2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (/.f64 1/2 y)))
(*.f64 (sqrt.f64 (/.f64 1/2 y)) (/.f64 (/.f64 (+.f64 y x) x) (sqrt.f64 (*.f64 y 2))))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (sqrt.f64 (+.f64 y x)) (*.f64 y (*.f64 2 x))))
(*.f64 (/.f64 (+.f64 y x) (neg.f64 x)) (/.f64 1 (*.f64 y -2)))
(*.f64 (/.f64 1 y) (/.f64 (/.f64 (+.f64 y x) x) 2))
(*.f64 (/.f64 (+.f64 y x) (*.f64 y x)) 1/2)
(*.f64 (/.f64 (+.f64 y x) 1) (/.f64 (/.f64 1 x) (*.f64 y 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) (*.f64 y 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (*.f64 y 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) y) (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 y 2)) (/.f64 (cbrt.f64 (+.f64 y x)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (*.f64 y 2)) (/.f64 (sqrt.f64 (+.f64 y x)) x))
(*.f64 (/.f64 (+.f64 y x) y) (/.f64 (/.f64 1 x) 2))
(*.f64 (/.f64 (+.f64 y x) 2) (/.f64 (/.f64 1 x) y))
(*.f64 (/.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (*.f64 y 2))))
(*.f64 (/.f64 (+.f64 y x) (sqrt.f64 (*.f64 y 2))) (/.f64 (/.f64 1 x) (sqrt.f64 (*.f64 y 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (/.f64 (+.f64 y x) x) (cbrt.f64 (*.f64 y 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) y) (/.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) 2) (/.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) (sqrt.f64 (*.f64 y 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) (sqrt.f64 (*.f64 y 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) 2) (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (cbrt.f64 (*.f64 y 2))))
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) 2)
(pow.f64 (*.f64 y (/.f64 2 (/.f64 (+.f64 y x) x))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 y x) x) (*.f64 y -2)))
(neg.f64 (/.f64 (/.f64 (+.f64 y x) (neg.f64 x)) (*.f64 y 2)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) (*.f64 y x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) 3) (pow.f64 (*.f64 y 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) x))) 1)
(*.f64 (+.f64 y x) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 y x) x) 1)
(*.f64 1 (/.f64 (+.f64 y x) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) (cbrt.f64 (/.f64 (+.f64 y x) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (/.f64 (cbrt.f64 (+.f64 y x)) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (sqrt.f64 (/.f64 (+.f64 y x) x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (sqrt.f64 (+.f64 y x)) x))
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 1 x)))
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 y x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 y x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 y x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 y x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 y x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) 2)
(pow.f64 (/.f64 x (+.f64 y x)) -1)
(neg.f64 (/.f64 (+.f64 y x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) 1))

simplify144.0ms (3.7%)

Algorithm
egg-herbie
Rules
1082×unswap-sqr
756×fma-define
730×log-prod
536×associate-/r*
512×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03957728
110276888
236306620
Stop Event
node limit
Counts
230 → 194
Calls
Call 1
Inputs
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y 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 1/2 (+.f64 (/.f64 1 y) (/.f64 1 x)))
(*.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 1 y)))
(*.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 1/2 y)) (/.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 1/2 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 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 1/2 y)) (*.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 (*.f64 x 2) y) (*.f64 y (*.f64 x 2)))
(/.f64 (fma.f64 1/2 (neg.f64 x) (*.f64 y -1/2)) (*.f64 y (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 y 2) 1/2)) (*.f64 y (*.f64 2 x)))
(/.f64 (fma.f64 x 2 (*.f64 y 2)) (*.f64 (*.f64 y 2) (*.f64 x 2)))
(/.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 (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 -1/2 (neg.f64 x) (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (fma.f64 1/2 (*.f64 y 2) x) (*.f64 y (*.f64 2 x)))
(/.f64 (fma.f64 1/2 (neg.f64 y) (*.f64 x -1/2)) (*.f64 x (neg.f64 y)))
(/.f64 (+.f64 y (*.f64 (*.f64 x 2) 1/2)) (*.f64 (*.f64 x 2) y))
(/.f64 (fma.f64 y 2 (*.f64 (*.f64 x 2) 1)) (*.f64 (*.f64 x 2) (*.f64 y 2)))
(/.f64 (fma.f64 -1 y (*.f64 (*.f64 x 2) -1/2)) (*.f64 (*.f64 x 2) (neg.f64 y)))
(/.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) 1/2)) (*.f64 (neg.f64 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 (neg.f64 y) (*.f64 (neg.f64 x) -1/2)) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (neg.f64 (fma.f64 1/2 x (*.f64 1/2 y))) (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 1/2 y)) y) x)
(pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 1))
(fma.f64 1/2 (/.f64 1 x) (/.f64 1/2 y))
(fma.f64 1/2 (/.f64 1 y) (/.f64 1/2 x))
(fma.f64 (/.f64 1/2 y) 1 (/.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 -1/2 (/.f64 1 (neg.f64 x)) (/.f64 1/2 y))
(fma.f64 -1/2 (/.f64 1 (neg.f64 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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))))) 1)
(*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))
(*.f64 (/.f64 1/2 y) (/.f64 (+.f64 y x) x))
(*.f64 (+.f64 y x) (/.f64 (/.f64 1 x) (*.f64 y 2)))
(*.f64 (+.f64 y x) (/.f64 1 (*.f64 y (*.f64 2 x))))
(*.f64 (+.f64 y x) (*.f64 (/.f64 1 x) (/.f64 1/2 y)))
(*.f64 (/.f64 (+.f64 y x) x) (/.f64 1/2 y))
(*.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))) 1)
(*.f64 1 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) (/.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) (*.f64 y 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) (/.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (/.f64 (cbrt.f64 (+.f64 y x)) (*.f64 y (*.f64 2 x))))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) (sqrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (*.f64 y 2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (/.f64 1/2 y)))
(*.f64 (sqrt.f64 (/.f64 1/2 y)) (/.f64 (/.f64 (+.f64 y x) x) (sqrt.f64 (*.f64 y 2))))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (sqrt.f64 (+.f64 y x)) (*.f64 y (*.f64 2 x))))
(*.f64 (/.f64 (+.f64 y x) (neg.f64 x)) (/.f64 1 (*.f64 y -2)))
(*.f64 (/.f64 1 y) (/.f64 (/.f64 (+.f64 y x) x) 2))
(*.f64 (/.f64 (+.f64 y x) (*.f64 y x)) 1/2)
(*.f64 (/.f64 (+.f64 y x) 1) (/.f64 (/.f64 1 x) (*.f64 y 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) (*.f64 y 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (*.f64 y 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) y) (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 y 2)) (/.f64 (cbrt.f64 (+.f64 y x)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (*.f64 y 2)) (/.f64 (sqrt.f64 (+.f64 y x)) x))
(*.f64 (/.f64 (+.f64 y x) y) (/.f64 (/.f64 1 x) 2))
(*.f64 (/.f64 (+.f64 y x) 2) (/.f64 (/.f64 1 x) y))
(*.f64 (/.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (*.f64 y 2))))
(*.f64 (/.f64 (+.f64 y x) (sqrt.f64 (*.f64 y 2))) (/.f64 (/.f64 1 x) (sqrt.f64 (*.f64 y 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (/.f64 (+.f64 y x) x) (cbrt.f64 (*.f64 y 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) y) (/.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) 2) (/.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) (sqrt.f64 (*.f64 y 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) (sqrt.f64 (*.f64 y 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) 2) (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (cbrt.f64 (*.f64 y 2))))
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) 2)
(pow.f64 (*.f64 y (/.f64 2 (/.f64 (+.f64 y x) x))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 y x) x) (*.f64 y -2)))
(neg.f64 (/.f64 (/.f64 (+.f64 y x) (neg.f64 x)) (*.f64 y 2)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) (*.f64 y x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) 3) (pow.f64 (*.f64 y 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 y x) (*.f64 y x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) x))) 1)
(*.f64 (+.f64 y x) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 y x) x) 1)
(*.f64 1 (/.f64 (+.f64 y x) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 2) (cbrt.f64 (/.f64 (+.f64 y x) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (/.f64 (cbrt.f64 (+.f64 y x)) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) (sqrt.f64 (/.f64 (+.f64 y x) x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (sqrt.f64 (+.f64 y x)) x))
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 1 x)))
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 y x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 y x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 y x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 y x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 y x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) x)) 2)
(pow.f64 (/.f64 x (+.f64 y x)) -1)
(neg.f64 (/.f64 (+.f64 y x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) 1))
Outputs
(/.f64 1/2 y)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.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 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 1)
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(expm1.f64 (log1p.f64 (-.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 1/2 (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(*.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.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 1/2 y)) (/.f64 1 (*.f64 y x)))
(*.f64 1/2 (/.f64 (+.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 1/2 (/.f64 y x) 1/2) 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 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))) (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 1/2 y))))
(*.f64 (fma.f64 1/2 x (*.f64 1/2 y)) (/.f64 1 (*.f64 y x)))
(*.f64 1/2 (/.f64 (+.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 1/2 (/.f64 y x) 1/2) 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))) (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 1/2 y)) (*.f64 y x))
(*.f64 (fma.f64 1/2 x (*.f64 1/2 y)) (/.f64 1 (*.f64 y x)))
(*.f64 1/2 (/.f64 (+.f64 1 (/.f64 y x)) y))
(/.f64 (fma.f64 1/2 (/.f64 y x) 1/2) 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))))
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eval50.0ms (1.3%)

Compiler

Compiled 2766 to 1571 computations (43.2% saved)

prune31.0ms (0.8%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1940194
Fresh000
Picked044
Done011
Total1945199
Accuracy
100.0%
Counts
199 → 5
Alt Table
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StatusAccuracyProgram
88.5%
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
75.8%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
50.7%
(/.f64 1/2 y)
50.2%
(/.f64 1/2 x)
100.0%
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
Compiler

Compiled 83 to 56 computations (32.5% saved)

regimes15.0ms (0.4%)

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

3 calls:

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

Compiled 17 to 11 computations (35.3% saved)

regimes24.0ms (0.6%)

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

2 calls:

13.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
87.2%4x
85.7%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
50.2%1y
50.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch52.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
-1.09431062839323e-118
-1.0527811897671364e-122
15.0ms
-4.300831276468401e-67
-3.1004249038103474e-71
15.0ms
-3.009862968169384e-18
-7.356350919052125e-21
Results
44.0ms368×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms256valid
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 304 to 251 computations (17.4% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
023108
129105
232105
335101
436101
537101
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(if (<=.f64 x -6646139978924579/664613997892457936451903530140172288) (/.f64 1/2 y) (if (<=.f64 x -3419097250317283/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 1/2 x) (if (<=.f64 x -7704490477533433/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 1/2 y) (/.f64 1/2 x))))
(/.f64 1/2 x)
Outputs
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(if (<=.f64 x -6646139978924579/664613997892457936451903530140172288) (/.f64 1/2 y) (if (<=.f64 x -3419097250317283/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 1/2 x) (if (<=.f64 x -7704490477533433/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 1/2 y) (/.f64 1/2 x))))
(if (<=.f64 x -6646139978924579/664613997892457936451903530140172288) (/.f64 1/2 y) (if (or (<=.f64 x -3419097250317283/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (not (<=.f64 x -7704490477533433/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656))) (/.f64 1/2 x) (/.f64 1/2 y)))
(if (or (<=.f64 x -6646139978924579/664613997892457936451903530140172288) (not (or (<=.f64 x -3419097250317283/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (not (<=.f64 x -7704490477533433/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656))))) (/.f64 1/2 y) (/.f64 1/2 x))
(if (or (<=.f64 x -6646139978924579/664613997892457936451903530140172288) (and (not (<=.f64 x -3419097250317283/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816)) (<=.f64 x -7704490477533433/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656))) (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
Compiler

Compiled 35 to 27 computations (22.9% saved)

soundness577.0ms (15%)

Rules
1812×fma-define
1790×div-sub
832×distribute-rgt-in
832×distribute-lft-in
812×unswap-sqr
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028283
174259
2222259
3874235
42917193
57016193
046732386
1117827049
2385325993
Stop Event
node limit
node limit
Compiler

Compiled 353 to 250 computations (29.2% saved)

end0.0ms (0%)

preprocess207.0ms (5.4%)

Remove

(sort x y)

Compiler

Compiled 156 to 116 computations (25.6% saved)

Profiling

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