Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B

Time bar (total: 5.7s)

analyze44.0ms (0.8%)

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
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (21.1%)

Results
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Bogosity

preprocess205.0ms (3.6%)

Algorithm
egg-herbie
Rules
1032×fma-define
984×times-frac
806×div-sub
732×sub-neg
558×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 (-.f64 x y) (*.f64 z 1/2))
00-0-(-.f64 x y)
00-0-y
00-0-(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
00-0-(*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2)))
00-0-1/2
00-0-z
00-0-4
00-0-(*.f64 z 1/2)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049513
1142481
2438437
31735374
46434374
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 (neg.f64 x) y) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 x (neg.f64 y)) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 (neg.f64 z) 1/2))) (neg.f64 z))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (-.f64 (neg.f64 x) y) (*.f64 z 1/2))) z))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (-.f64 x (neg.f64 y)) (*.f64 z 1/2))) z))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 (neg.f64 z) 1/2))) (neg.f64 z)))
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x)
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y)
Outputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 x (+.f64 y (*.f64 z 1/2)))) z)
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(*.f64 -4 (+.f64 1/2 (/.f64 (-.f64 y x) z)))
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 x (+.f64 y (*.f64 z 1/2)))) z)
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(*.f64 -4 (+.f64 1/2 (/.f64 (-.f64 y x) z)))
(/.f64 (*.f64 4 (-.f64 (-.f64 (neg.f64 x) y) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (neg.f64 x) (+.f64 y (*.f64 z 1/2)))) z)
(*.f64 (+.f64 (neg.f64 (+.f64 x y)) (*.f64 z -1/2)) (/.f64 4 z))
(*.f64 (-.f64 (neg.f64 x) (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (-.f64 -1/2 (/.f64 (+.f64 x y) z)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 x y) z)) -2)
(/.f64 (*.f64 4 (-.f64 (-.f64 x (neg.f64 y)) (*.f64 z 1/2))) z)
(*.f64 (+.f64 x (-.f64 y (*.f64 z 1/2))) (/.f64 4 z))
(*.f64 (+.f64 x (fma.f64 z -1/2 y)) (/.f64 4 z))
(+.f64 (*.f64 4 (/.f64 (+.f64 x y) z)) -2)
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 (neg.f64 z) 1/2))) (neg.f64 z))
(/.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z 1/2))) (neg.f64 z))
(*.f64 -4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2)) z))
(*.f64 4 (/.f64 (-.f64 (fma.f64 z -1/2 y) x) z))
(+.f64 (*.f64 4 (/.f64 (-.f64 y x) z)) -2)
(neg.f64 (/.f64 (*.f64 4 (-.f64 (-.f64 (neg.f64 x) y) (*.f64 z 1/2))) z))
(/.f64 (*.f64 4 (-.f64 (neg.f64 x) (+.f64 y (*.f64 z 1/2)))) (neg.f64 z))
(*.f64 -4 (/.f64 (+.f64 (neg.f64 (+.f64 x y)) (*.f64 z -1/2)) z))
(*.f64 (-.f64 (neg.f64 x) (fma.f64 z 1/2 y)) (/.f64 -4 z))
(*.f64 4 (+.f64 (/.f64 (+.f64 x y) z) 1/2))
(+.f64 (*.f64 4 (/.f64 (+.f64 x y) z)) 2)
(neg.f64 (/.f64 (*.f64 4 (-.f64 (-.f64 x (neg.f64 y)) (*.f64 z 1/2))) z))
(/.f64 (*.f64 4 (-.f64 (-.f64 x (neg.f64 y)) (*.f64 z 1/2))) (neg.f64 z))
(*.f64 -4 (/.f64 (+.f64 x (-.f64 y (*.f64 z 1/2))) z))
(*.f64 (+.f64 x (fma.f64 z -1/2 y)) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 (+.f64 x y) z)) 2)
(neg.f64 (/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 (neg.f64 z) 1/2))) (neg.f64 z)))
(/.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z 1/2))) (neg.f64 (neg.f64 z)))
(*.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2)) (/.f64 4 z))
(*.f64 (-.f64 x (fma.f64 z -1/2 y)) (/.f64 4 z))
(+.f64 (*.f64 (/.f64 (-.f64 y x) z) -4) 2)
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z 1/2))) (neg.f64 z))
(*.f64 -4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2)) z))
(*.f64 4 (/.f64 (-.f64 (fma.f64 z -1/2 y) x) z))
(+.f64 (*.f64 4 (/.f64 (-.f64 y x) z)) -2)
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x)
(*.f64 (+.f64 (-.f64 z y) (*.f64 x -1/2)) (/.f64 4 x))
(*.f64 (-.f64 z (fma.f64 x 1/2 y)) (/.f64 4 x))
(*.f64 4 (+.f64 (/.f64 (-.f64 z y) x) -1/2))
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y)
(*.f64 (+.f64 (-.f64 x z) (*.f64 y -1/2)) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 y 1/2 z)) y))
(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) -2)
Compiler

Compiled 98 to 56 computations (42.9% saved)

eval1.0ms (0%)

Compiler

Compiled 53 to 33 computations (37.7% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
100.0%
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
Compiler

Compiled 26 to 19 computations (26.9% saved)

localize145.0ms (2.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
100.0%
(/.f64 (-.f64 y x) z)
Compiler

Compiled 67 to 34 computations (49.3% saved)

series75.0ms (1.3%)

Counts
2 → 60
Calls

18 calls:

TimeVariablePointExpression
55.0ms
y
@inf
(/.f64 (-.f64 y x) z)
2.0ms
z
@-inf
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
2.0ms
y
@inf
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
2.0ms
x
@0
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
1.0ms
z
@inf
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))

rewrite242.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
1023×log1p-expm1-u
1023×expm1-log1p-u
606×fma-neg
182×associate-*r*
123×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01865
125661
2412661
Stop Event
node limit
Counts
2 → 94
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) z)
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
Outputs
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) 1)
(*.f64 (-.f64 y x) (/.f64 1 z))
(*.f64 (/.f64 (-.f64 y x) z) 1)
(*.f64 1 (/.f64 (-.f64 y x) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) (-.f64 y x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(pow.f64 (/.f64 (-.f64 y x) z) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2)
(pow.f64 (/.f64 z (-.f64 y x)) -1)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) z))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1))
(fma.f64 y (/.f64 1 z) (neg.f64 (/.f64 x z)))
(fma.f64 1 (/.f64 y z) (neg.f64 (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (cbrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 (fma.f64 z 1/2 y))))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (neg.f64 (fma.f64 z 1/2 y)) (/.f64 4 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)))) 1)
(/.f64 (-.f64 x (fma.f64 z 1/2 y)) (*.f64 z 1/4))
(/.f64 1 (/.f64 z (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2)) (*.f64 (*.f64 z 1/4) (+.f64 x (fma.f64 z 1/2 y))))
(/.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4) z)
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) 4) (*.f64 (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)))) z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) 1) (*.f64 (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)))) (*.f64 z 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) -4) (*.f64 (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)))) (neg.f64 z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2)) 4) (*.f64 (+.f64 x (fma.f64 z 1/2 y)) z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2)) 1) (*.f64 (+.f64 x (fma.f64 z 1/2 y)) (*.f64 z 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2)) -4) (*.f64 (+.f64 x (fma.f64 z 1/2 y)) (neg.f64 z)))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3))) (*.f64 z (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y))))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2))) (*.f64 z (+.f64 x (fma.f64 z 1/2 y))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3))) (*.f64 (neg.f64 z) (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y))))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2))) (*.f64 (neg.f64 z) (+.f64 x (fma.f64 z 1/2 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4)) (neg.f64 z))
(/.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) -4) (neg.f64 z))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3))) (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2))) (+.f64 x (fma.f64 z 1/2 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) (/.f64 4 z)) (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2)) (/.f64 4 z)) (+.f64 x (fma.f64 z 1/2 y)))
(/.f64 (*.f64 -4 (-.f64 x (fma.f64 z 1/2 y))) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4) 1) z)
(/.f64 (/.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x (fma.f64 z 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x (fma.f64 z 1/2 y)) 3) (pow.f64 (/.f64 4 z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (-.f64 x (fma.f64 z 1/2 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))))
(exp.f64 (log.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))) 1))

simplify88.0ms (1.6%)

Algorithm
egg-herbie
Rules
1106×distribute-rgt-in
1106×distribute-lft-in
714×fma-define
710×unswap-sqr
370×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02746182
17315839
224765545
Stop Event
node limit
Counts
154 → 154
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) 1)
(*.f64 (-.f64 y x) (/.f64 1 z))
(*.f64 (/.f64 (-.f64 y x) z) 1)
(*.f64 1 (/.f64 (-.f64 y x) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) (-.f64 y x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(pow.f64 (/.f64 (-.f64 y x) z) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2)
(pow.f64 (/.f64 z (-.f64 y x)) -1)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) z))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1))
(fma.f64 y (/.f64 1 z) (neg.f64 (/.f64 x z)))
(fma.f64 1 (/.f64 y z) (neg.f64 (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (cbrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 (fma.f64 z 1/2 y))))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (neg.f64 (fma.f64 z 1/2 y)) (/.f64 4 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)))) 1)
(/.f64 (-.f64 x (fma.f64 z 1/2 y)) (*.f64 z 1/4))
(/.f64 1 (/.f64 z (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 (*.f64 z 1/4) (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2)) (*.f64 (*.f64 z 1/4) (+.f64 x (fma.f64 z 1/2 y))))
(/.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4) z)
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) 4) (*.f64 (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)))) z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) 1) (*.f64 (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)))) (*.f64 z 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) -4) (*.f64 (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)))) (neg.f64 z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2)) 4) (*.f64 (+.f64 x (fma.f64 z 1/2 y)) z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2)) 1) (*.f64 (+.f64 x (fma.f64 z 1/2 y)) (*.f64 z 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2)) -4) (*.f64 (+.f64 x (fma.f64 z 1/2 y)) (neg.f64 z)))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3))) (*.f64 z (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y))))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2))) (*.f64 z (+.f64 x (fma.f64 z 1/2 y))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3))) (*.f64 (neg.f64 z) (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y))))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2))) (*.f64 (neg.f64 z) (+.f64 x (fma.f64 z 1/2 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4)) (neg.f64 z))
(/.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) -4) (neg.f64 z))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3))) (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2))) (+.f64 x (fma.f64 z 1/2 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) (/.f64 4 z)) (fma.f64 x x (*.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 z 1/2 y) 2)) (/.f64 4 z)) (+.f64 x (fma.f64 z 1/2 y)))
(/.f64 (*.f64 -4 (-.f64 x (fma.f64 z 1/2 y))) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4) 1) z)
(/.f64 (/.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) 4) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x (fma.f64 z 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x (fma.f64 z 1/2 y)) 3) (pow.f64 (/.f64 4 z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (-.f64 x (fma.f64 z 1/2 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))))
(exp.f64 (log.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))) 1))
Outputs
(*.f64 -1 (/.f64 x z))
(/.f64 x (neg.f64 z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 x (neg.f64 z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 x (neg.f64 z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(*.f64 -4 (/.f64 (fma.f64 z 1/2 y) z))
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(/.f64 (*.f64 x 4) z)
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(+.f64 (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(/.f64 (*.f64 x 4) z)
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(*.f64 4 (/.f64 (+.f64 x (*.f64 -1/2 z)) z))
(*.f64 4 (/.f64 (+.f64 x (*.f64 z -1/2)) z))
(fma.f64 x (/.f64 4 z) -2)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 (/.f64 y z) 1/2) (*.f64 x (/.f64 4 z)))
(fma.f64 x (/.f64 4 z) (+.f64 (*.f64 (/.f64 y z) -4) -2))
(fma.f64 (/.f64 y z) -4 (fma.f64 x (/.f64 4 z) -2))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) 1)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (-.f64 y x) (/.f64 1 z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (-.f64 y x) z) 1)
(/.f64 (-.f64 y x) z)
(*.f64 1 (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))
(/.f64 (-.f64 y x) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 1 z) (-.f64 y x))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (/.f64 (-.f64 y x) z) 1)
(/.f64 (-.f64 y x) z)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
(/.f64 (-.f64 y x) z)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 1/3)
(/.f64 (-.f64 y x) z)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2)
(/.f64 (-.f64 y x) z)
(pow.f64 (/.f64 z (-.f64 y x)) -1)
(/.f64 (-.f64 y x) z)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(/.f64 (-.f64 y x) z)
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))
(/.f64 (-.f64 y x) z)
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))))
(/.f64 (-.f64 y x) z)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))
(/.f64 (-.f64 y x) z)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))
(/.f64 (-.f64 y x) z)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1))
(/.f64 (-.f64 y x) z)
(fma.f64 y (/.f64 1 z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 1 (/.f64 y z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (cbrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)) (/.f64 x (neg.f64 z)))
(-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z))) (/.f64 x z))
(-.f64 (/.f64 (/.f64 y (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 x z))
(fma.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (/.f64 x (neg.f64 z)))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(-.f64 (/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
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(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) 2))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x (fma.f64 z 1/2 y))))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)))))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z)) 3))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x (fma.f64 z 1/2 y)) 3) (pow.f64 (/.f64 4 z) 3)))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (-.f64 x (fma.f64 z 1/2 y)) 3)))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))
(+.f64 -1 (fma.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(exp.f64 (log.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))) 1))
(fma.f64 -4 (/.f64 (fma.f64 z 1/2 y) z) (*.f64 x (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))

eval51.0ms (0.9%)

Compiler

Compiled 2360 to 1306 computations (44.7% saved)

prune28.0ms (0.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1477154
Fresh000
Picked022
Done000
Total1479156
Accuracy
100.0%
Counts
156 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(/.f64 (*.f64 x 4) z)
35.4%
(*.f64 (/.f64 y z) -4)
99.7%
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
35.1%
(*.f64 x (/.f64 4 z))
65.0%
(*.f64 4 (/.f64 (-.f64 x y) z))
69.2%
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
100.0%
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
68.6%
(*.f64 -4 (-.f64 (/.f64 (neg.f64 x) z) -1/2))
35.1%
-2
Compiler

Compiled 144 to 111 computations (22.9% saved)

localize69.0ms (1.2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (/.f64 y z) -4)
99.6%
(*.f64 x (/.f64 4 z))
100.0%
(-.f64 -1/2 (/.f64 y z))
Compiler

Compiled 57 to 29 computations (49.1% saved)

series16.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 x (/.f64 4 z))
1.0ms
z
@0
(*.f64 x (/.f64 4 z))
1.0ms
x
@inf
(*.f64 x (/.f64 4 z))
1.0ms
z
@inf
(*.f64 x (/.f64 4 z))
1.0ms
y
@inf
(-.f64 -1/2 (/.f64 y z))

rewrite111.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1052×log-prod
990×log1p-expm1-u
990×expm1-log1p-u
344×expm1-undefine
344×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01757
119757
2264357
Stop Event
node limit
Counts
3 → 96
Calls
Call 1
Inputs
(-.f64 -1/2 (/.f64 y z))
(*.f64 x (/.f64 4 z))
(*.f64 (/.f64 y z) -4)
Outputs
(+.f64 -1/2 (/.f64 y (neg.f64 z)))
(+.f64 -1/2 (*.f64 (/.f64 y (neg.f64 z)) 1))
(+.f64 (/.f64 y (neg.f64 z)) -1/2)
(+.f64 0 (-.f64 -1/2 (/.f64 y z)))
(+.f64 (log.f64 (exp.f64 -1/2)) (/.f64 y (neg.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z)))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))))
(*.f64 (-.f64 -1/2 (/.f64 y z)) 1)
(*.f64 1 (-.f64 -1/2 (/.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) 2) (cbrt.f64 (-.f64 -1/2 (/.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 -1/2 (/.f64 y z))) (sqrt.f64 (-.f64 -1/2 (/.f64 y z))))
(*.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4)))
(*.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 -1/2 (/.f64 y z))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4) (-.f64 -1/8 (pow.f64 (/.f64 y z) 3))))
(/.f64 1 (/.f64 (+.f64 -1/2 (/.f64 y z)) (-.f64 1/4 (pow.f64 (/.f64 y z) 2))))
(/.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (+.f64 -1/2 (/.f64 y z)))
(/.f64 (neg.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2))) (neg.f64 (+.f64 -1/2 (/.f64 y z))))
(/.f64 (+.f64 -1/8 (pow.f64 (/.f64 y (neg.f64 z)) 3)) (+.f64 1/4 (-.f64 (*.f64 (/.f64 y (neg.f64 z)) (/.f64 y (neg.f64 z))) (*.f64 -1/2 (/.f64 y (neg.f64 z))))))
(/.f64 (-.f64 1/4 (*.f64 (/.f64 y (neg.f64 z)) (/.f64 y (neg.f64 z)))) (-.f64 -1/2 (/.f64 y (neg.f64 z))))
(pow.f64 (-.f64 -1/2 (/.f64 y z)) 1)
(pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 -1/2 (/.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 -1/2 (/.f64 y z))) 2)
(sqrt.f64 (pow.f64 (-.f64 -1/2 (/.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1/2 (/.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 -1/2 (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 -1/2 (/.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 -1/2 (/.f64 y z))))
(exp.f64 (log.f64 (-.f64 -1/2 (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1/2 (/.f64 y z))) 1))
(fma.f64 y (neg.f64 (/.f64 1 z)) -1/2)
(fma.f64 1 (/.f64 y (neg.f64 z)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (neg.f64 (cbrt.f64 (/.f64 y z))) -1/2)
(fma.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 (/.f64 y z))) -1/2)
(fma.f64 (neg.f64 y) (/.f64 1 z) -1/2)
(fma.f64 -1 (/.f64 y z) -1/2)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 y (neg.f64 z))) (cbrt.f64 (/.f64 y (neg.f64 z)))) (cbrt.f64 (/.f64 y (neg.f64 z))) -1/2)
(fma.f64 (sqrt.f64 (/.f64 y (neg.f64 z))) (sqrt.f64 (/.f64 y (neg.f64 z))) -1/2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) -1/2)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) -1/2)
(+.f64 0 (*.f64 x (/.f64 4 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 4 z)))) 1)
(/.f64 x (*.f64 z 1/4))
(/.f64 1 (/.f64 z (*.f64 x 4)))
(/.f64 (*.f64 x 4) z)
(/.f64 (neg.f64 (*.f64 x 4)) (neg.f64 z))
(/.f64 (*.f64 x -4) (neg.f64 z))
(/.f64 (*.f64 -4 x) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x 4) 1) z)
(/.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x 4) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 x (/.f64 4 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 4 z))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 4 z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 4 z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 4 z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 4 z))) 1))
(+.f64 0 (*.f64 y (/.f64 -4 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 -4 z)))) 1)
(/.f64 -4 (/.f64 z y))
(/.f64 1 (/.f64 z (*.f64 y -4)))
(/.f64 (*.f64 y -4) z)
(/.f64 (neg.f64 (*.f64 y -4)) (neg.f64 z))
(/.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y -4) 1) z)
(/.f64 (/.f64 (*.f64 y -4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 y -4) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 y (/.f64 -4 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 -4 z))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 -4 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 -4 z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 -4 z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 -4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 -4 z))) 1))

simplify104.0ms (1.8%)

Algorithm
egg-herbie
Rules
1312×fma-define
1230×times-frac
902×associate-*r/
854×unswap-sqr
568×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02473850
15703712
219393604
Stop Event
node limit
Counts
168 → 112
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(*.f64 -1 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(*.f64 -1 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(*.f64 -1 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
-1/2
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
-1/2
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(+.f64 -1/2 (/.f64 y (neg.f64 z)))
(+.f64 -1/2 (*.f64 (/.f64 y (neg.f64 z)) 1))
(+.f64 (/.f64 y (neg.f64 z)) -1/2)
(+.f64 0 (-.f64 -1/2 (/.f64 y z)))
(+.f64 (log.f64 (exp.f64 -1/2)) (/.f64 y (neg.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z)))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))))
(*.f64 (-.f64 -1/2 (/.f64 y z)) 1)
(*.f64 1 (-.f64 -1/2 (/.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) 2) (cbrt.f64 (-.f64 -1/2 (/.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 -1/2 (/.f64 y z))) (sqrt.f64 (-.f64 -1/2 (/.f64 y z))))
(*.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4)))
(*.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 -1/2 (/.f64 y z))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4) (-.f64 -1/8 (pow.f64 (/.f64 y z) 3))))
(/.f64 1 (/.f64 (+.f64 -1/2 (/.f64 y z)) (-.f64 1/4 (pow.f64 (/.f64 y z) 2))))
(/.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (+.f64 -1/2 (/.f64 y z)))
(/.f64 (neg.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2))) (neg.f64 (+.f64 -1/2 (/.f64 y z))))
(/.f64 (+.f64 -1/8 (pow.f64 (/.f64 y (neg.f64 z)) 3)) (+.f64 1/4 (-.f64 (*.f64 (/.f64 y (neg.f64 z)) (/.f64 y (neg.f64 z))) (*.f64 -1/2 (/.f64 y (neg.f64 z))))))
(/.f64 (-.f64 1/4 (*.f64 (/.f64 y (neg.f64 z)) (/.f64 y (neg.f64 z)))) (-.f64 -1/2 (/.f64 y (neg.f64 z))))
(pow.f64 (-.f64 -1/2 (/.f64 y z)) 1)
(pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 -1/2 (/.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 -1/2 (/.f64 y z))) 2)
(sqrt.f64 (pow.f64 (-.f64 -1/2 (/.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1/2 (/.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 -1/2 (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 -1/2 (/.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 -1/2 (/.f64 y z))))
(exp.f64 (log.f64 (-.f64 -1/2 (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1/2 (/.f64 y z))) 1))
(fma.f64 y (neg.f64 (/.f64 1 z)) -1/2)
(fma.f64 1 (/.f64 y (neg.f64 z)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (neg.f64 (cbrt.f64 (/.f64 y z))) -1/2)
(fma.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 (/.f64 y z))) -1/2)
(fma.f64 (neg.f64 y) (/.f64 1 z) -1/2)
(fma.f64 -1 (/.f64 y z) -1/2)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 y (neg.f64 z))) (cbrt.f64 (/.f64 y (neg.f64 z)))) (cbrt.f64 (/.f64 y (neg.f64 z))) -1/2)
(fma.f64 (sqrt.f64 (/.f64 y (neg.f64 z))) (sqrt.f64 (/.f64 y (neg.f64 z))) -1/2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) -1/2)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) -1/2)
(+.f64 0 (*.f64 x (/.f64 4 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 4 z)))) 1)
(/.f64 x (*.f64 z 1/4))
(/.f64 1 (/.f64 z (*.f64 x 4)))
(/.f64 (*.f64 x 4) z)
(/.f64 (neg.f64 (*.f64 x 4)) (neg.f64 z))
(/.f64 (*.f64 x -4) (neg.f64 z))
(/.f64 (*.f64 -4 x) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x 4) 1) z)
(/.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x 4) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 x (/.f64 4 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 4 z))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 4 z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 4 z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 4 z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 4 z))) 1))
(+.f64 0 (*.f64 y (/.f64 -4 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 -4 z)))) 1)
(/.f64 -4 (/.f64 z y))
(/.f64 1 (/.f64 z (*.f64 y -4)))
(/.f64 (*.f64 y -4) z)
(/.f64 (neg.f64 (*.f64 y -4)) (neg.f64 z))
(/.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y -4) 1) z)
(/.f64 (/.f64 (*.f64 y -4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 y -4) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 y (/.f64 -4 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 -4 z))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 -4 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 -4 z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 -4 z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 -4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 -4 z))) 1))
Outputs
-1/2
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(*.f64 -1 (/.f64 y z))
(/.f64 y (neg.f64 z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(*.f64 -1 (/.f64 y z))
(/.f64 y (neg.f64 z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(*.f64 -1 (/.f64 y z))
(/.f64 y (neg.f64 z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
-1/2
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
-1/2
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(-.f64 (*.f64 -1 (/.f64 y z)) 1/2)
(-.f64 -1/2 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(+.f64 -1/2 (/.f64 y (neg.f64 z)))
(-.f64 -1/2 (/.f64 y z))
(+.f64 -1/2 (*.f64 (/.f64 y (neg.f64 z)) 1))
(-.f64 -1/2 (/.f64 y z))
(+.f64 (/.f64 y (neg.f64 z)) -1/2)
(-.f64 -1/2 (/.f64 y z))
(+.f64 0 (-.f64 -1/2 (/.f64 y z)))
(-.f64 -1/2 (/.f64 y z))
(+.f64 (log.f64 (exp.f64 -1/2)) (/.f64 y (neg.f64 z)))
(-.f64 -1/2 (/.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z)))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))) 2)
(*.f64 (-.f64 -1/2 (/.f64 y z)) 1)
(-.f64 -1/2 (/.f64 y z))
(*.f64 1 (-.f64 -1/2 (/.f64 y z)))
(-.f64 -1/2 (/.f64 y z))
(*.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) 2))
(-.f64 -1/2 (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) 2) (cbrt.f64 (-.f64 -1/2 (/.f64 y z))))
(-.f64 -1/2 (/.f64 y z))
(*.f64 (sqrt.f64 (-.f64 -1/2 (/.f64 y z))) (sqrt.f64 (-.f64 -1/2 (/.f64 y z))))
(-.f64 -1/2 (/.f64 y z))
(*.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4)))
(/.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4))
(*.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 -1/2 (/.f64 y z))))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (+.f64 -1/2 (/.f64 y z)))
(/.f64 1 (/.f64 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4) (-.f64 -1/8 (pow.f64 (/.f64 y z) 3))))
(*.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4)))
(/.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4))
(/.f64 1 (/.f64 (+.f64 -1/2 (/.f64 y z)) (-.f64 1/4 (pow.f64 (/.f64 y z) 2))))
(*.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 -1/2 (/.f64 y z))))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (+.f64 -1/2 (/.f64 y z)))
(/.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4))
(*.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4)))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (+.f64 -1/2 (/.f64 y z)))
(*.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 -1/2 (/.f64 y z))))
(/.f64 (neg.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4)))
(*.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4)))
(/.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2))) (neg.f64 (+.f64 -1/2 (/.f64 y z))))
(*.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 -1/2 (/.f64 y z))))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (+.f64 -1/2 (/.f64 y z)))
(/.f64 (+.f64 -1/8 (pow.f64 (/.f64 y (neg.f64 z)) 3)) (+.f64 1/4 (-.f64 (*.f64 (/.f64 y (neg.f64 z)) (/.f64 y (neg.f64 z))) (*.f64 -1/2 (/.f64 y (neg.f64 z))))))
(*.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4)))
(/.f64 (-.f64 -1/8 (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 -1/2 (/.f64 y z)) 1/4))
(/.f64 (-.f64 1/4 (*.f64 (/.f64 y (neg.f64 z)) (/.f64 y (neg.f64 z)))) (-.f64 -1/2 (/.f64 y (neg.f64 z))))
(*.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 -1/2 (/.f64 y z))))
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 y z) 2)) (+.f64 -1/2 (/.f64 y z)))
(pow.f64 (-.f64 -1/2 (/.f64 y z)) 1)
(-.f64 -1/2 (/.f64 y z))
(pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 y z))) 3)
(-.f64 -1/2 (/.f64 y z))
(pow.f64 (pow.f64 (-.f64 -1/2 (/.f64 y z)) 3) 1/3)
(-.f64 -1/2 (/.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 -1/2 (/.f64 y z))) 2)
(-.f64 -1/2 (/.f64 y z))
(sqrt.f64 (pow.f64 (-.f64 -1/2 (/.f64 y z)) 2))
(-.f64 -1/2 (/.f64 y z))
(log.f64 (exp.f64 (-.f64 -1/2 (/.f64 y z))))
(-.f64 -1/2 (/.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1/2 (/.f64 y z)))))
(-.f64 -1/2 (/.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 -1/2 (/.f64 y z)) 3))
(-.f64 -1/2 (/.f64 y z))
(expm1.f64 (log1p.f64 (-.f64 -1/2 (/.f64 y z))))
(-.f64 -1/2 (/.f64 y z))
(log1p.f64 (expm1.f64 (-.f64 -1/2 (/.f64 y z))))
(-.f64 -1/2 (/.f64 y z))
(exp.f64 (log.f64 (-.f64 -1/2 (/.f64 y z))))
(-.f64 -1/2 (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (-.f64 -1/2 (/.f64 y z))) 1))
(-.f64 -1/2 (/.f64 y z))
(fma.f64 y (neg.f64 (/.f64 1 z)) -1/2)
(-.f64 -1/2 (/.f64 y z))
(fma.f64 1 (/.f64 y (neg.f64 z)) -1/2)
(-.f64 -1/2 (/.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (neg.f64 (cbrt.f64 (/.f64 y z))) -1/2)
(-.f64 -1/2 (/.f64 y z))
(fma.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 (/.f64 y z))) -1/2)
(-.f64 -1/2 (/.f64 y z))
(fma.f64 (neg.f64 y) (/.f64 1 z) -1/2)
(-.f64 -1/2 (/.f64 y z))
(fma.f64 -1 (/.f64 y z) -1/2)
(-.f64 -1/2 (/.f64 y z))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 y (neg.f64 z))) (cbrt.f64 (/.f64 y (neg.f64 z)))) (cbrt.f64 (/.f64 y (neg.f64 z))) -1/2)
(-.f64 -1/2 (/.f64 y z))
(fma.f64 (sqrt.f64 (/.f64 y (neg.f64 z))) (sqrt.f64 (/.f64 y (neg.f64 z))) -1/2)
(-.f64 -1/2 (/.f64 y z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) -1/2)
(-.f64 -1/2 (/.f64 y z))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) -1/2)
(-.f64 -1/2 (/.f64 y z))
(+.f64 0 (*.f64 x (/.f64 4 z)))
(*.f64 4 (/.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))
(*.f64 4 (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 4 z)))) 1)
(*.f64 4 (/.f64 x z))
(/.f64 x (*.f64 z 1/4))
(/.f64 1 (/.f64 z (*.f64 x 4)))
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 x 4) z)
(*.f64 4 (/.f64 x z))
(/.f64 (neg.f64 (*.f64 x 4)) (neg.f64 z))
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 x -4) (neg.f64 z))
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 -4 x) (neg.f64 z))
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 x 4) 1) z)
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 x 4) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 x (/.f64 4 z)) 1)
(*.f64 4 (/.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 z))) 3)
(*.f64 4 (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 3) 1/3)
(*.f64 4 (/.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 4 z))) 2)
(*.f64 4 (/.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2))
(*.f64 4 (/.f64 x z))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))
(*.f64 4 (/.f64 x z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 4 z)))))
(*.f64 4 (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 3))
(*.f64 4 (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 4 z) 3)))
(*.f64 4 (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 x 3)))
(*.f64 4 (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 4 z))))
(*.f64 4 (/.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 4 z))))
(*.f64 4 (/.f64 x z))
(exp.f64 (log.f64 (*.f64 x (/.f64 4 z))))
(*.f64 4 (/.f64 x z))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 4 z))) 1))
(*.f64 4 (/.f64 x z))
(+.f64 0 (*.f64 y (/.f64 -4 z)))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 -4 z)))) 1)
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(/.f64 -4 (/.f64 z y))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(/.f64 1 (/.f64 z (*.f64 y -4)))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(/.f64 (*.f64 y -4) z)
(*.f64 y (/.f64 -4 z))
(/.f64 (neg.f64 (*.f64 y -4)) (neg.f64 z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(/.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(/.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(/.f64 (/.f64 (*.f64 y -4) 1) z)
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(/.f64 (/.f64 (*.f64 y -4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(/.f64 (/.f64 (*.f64 y -4) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(pow.f64 (*.f64 y (/.f64 -4 z)) 1)
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 3)
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(pow.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3) 1/3)
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 -4 z))) 2)
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 -4 z)))))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 -4 z))))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 -4 z))))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(exp.f64 (log.f64 (*.f64 y (/.f64 -4 z))))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 -4 z))) 1))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)

eval71.0ms (1.3%)

Compiler

Compiled 1219 to 776 computations (36.3% saved)

prune20.0ms (0.4%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1111112
Fresh022
Picked055
Done022
Total11110121
Accuracy
100.0%
Counts
121 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(/.f64 (*.f64 x 4) z)
35.4%
(*.f64 (/.f64 y z) -4)
99.7%
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
35.4%
(*.f64 y (/.f64 -4 z))
35.1%
(*.f64 x (/.f64 4 z))
65.0%
(*.f64 4 (/.f64 (-.f64 x y) z))
69.2%
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
100.0%
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
68.6%
(*.f64 -4 (-.f64 (/.f64 (neg.f64 x) z) -1/2))
35.1%
-2
Compiler

Compiled 93 to 71 computations (23.7% saved)

localize65.0ms (1.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 y (/.f64 -4 z))
100.0%
(/.f64 (-.f64 x y) z)
100.0%
(*.f64 4 (/.f64 (-.f64 x y) z))
Compiler

Compiled 58 to 25 computations (56.9% saved)

series22.0ms (0.4%)

Counts
3 → 72
Calls

24 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(*.f64 4 (/.f64 (-.f64 x y) z))
3.0ms
x
@0
(*.f64 4 (/.f64 (-.f64 x y) z))
1.0ms
x
@inf
(/.f64 (-.f64 x y) z)
1.0ms
z
@0
(*.f64 4 (/.f64 (-.f64 x y) z))
1.0ms
x
@inf
(*.f64 4 (/.f64 (-.f64 x y) z))

rewrite185.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1186×prod-diff
1084×log1p-expm1-u
1084×expm1-log1p-u
146×associate-*r*
100×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01669
119669
2283569
Stop Event
node limit
Counts
3 → 280
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 x y) z)
(*.f64 y (/.f64 -4 z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 4 (-.f64 x y)) z))) 1)
(/.f64 4 (/.f64 z (-.f64 x y)))
(/.f64 1 (/.f64 z (*.f64 4 (-.f64 x y))))
(/.f64 (*.f64 4 (-.f64 x y)) z)
(/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (neg.f64 z))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) 1) z)
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 (*.f64 4 (-.f64 x y)) z) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 4 (-.f64 x y)) z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 4 (-.f64 x y)) z) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 4 (-.f64 x y)) z))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 4 (-.f64 x y)) z) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)))
(exp.f64 (log.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)) 1))
(+.f64 (/.f64 x z) (neg.f64 (/.f64 y z)))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 1 z) y))) (fma.f64 (neg.f64 (/.f64 1 z)) y (*.f64 (/.f64 1 z) y)))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 y z) 1))) (fma.f64 (neg.f64 (/.f64 y z)) 1 (*.f64 (/.f64 y z) 1)))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (/.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y z))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (*.f64 (cbrt.f64 (/.f64 y z)) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))))))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (/.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) (/.f64 y z)))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (/.f64 y z))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 y z)))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 z))) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) (/.f64 1 (sqrt.f64 z)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) z) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) z) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)))))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) z)) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) 1))))
(+.f64 (fma.f64 x (/.f64 1 z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (fma.f64 1 (/.f64 x z) (neg.f64 (*.f64 (/.f64 1 z) y))) (fma.f64 (neg.f64 (/.f64 1 z)) y (*.f64 (/.f64 1 z) y)))
(+.f64 (fma.f64 1 (/.f64 x z) (neg.f64 (*.f64 (/.f64 y z) 1))) (fma.f64 (neg.f64 (/.f64 y z)) 1 (*.f64 (/.f64 y z) 1)))
(+.f64 (fma.f64 1 (/.f64 x z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (/.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 1 (/.f64 x z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (/.f64 x z) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y z))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (*.f64 (cbrt.f64 (/.f64 y z)) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))))))
(+.f64 (fma.f64 1 (/.f64 x z) (neg.f64 (/.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) (/.f64 y z)))
(+.f64 (fma.f64 1 (/.f64 x z) (neg.f64 (/.f64 y z))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 y z)))
(+.f64 (fma.f64 1 (/.f64 x z) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 z))) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (fma.f64 1 (/.f64 x z) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) (/.f64 1 (sqrt.f64 z)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))))
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 1 z) y))) (fma.f64 (neg.f64 (/.f64 1 z)) y (*.f64 (/.f64 1 z) y)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 y z) 1))) (fma.f64 (neg.f64 (/.f64 y z)) 1 (*.f64 (/.f64 y z) 1)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (/.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y z))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (*.f64 (cbrt.f64 (/.f64 y z)) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (/.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) (/.f64 y z)))
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 z))) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) (/.f64 1 (sqrt.f64 z)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) z) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) z) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) z)) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) 1))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)))))
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) 1)
(*.f64 (-.f64 x y) (/.f64 1 z))
(*.f64 (/.f64 (-.f64 x y) z) 1)
(*.f64 1 (/.f64 (-.f64 x y) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 z)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) (-.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 (-.f64 x y) z) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2)
(pow.f64 (/.f64 z (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) z))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 -4 z)))) 1)
(/.f64 y (*.f64 z -1/4))
(/.f64 1 (/.f64 z (*.f64 y -4)))
(/.f64 (*.f64 y -4) z)
(/.f64 (neg.f64 (*.f64 y -4)) (neg.f64 z))
(/.f64 (*.f64 y 4) (neg.f64 z))
(/.f64 (*.f64 4 y) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y -4) 1) z)
(/.f64 (/.f64 (*.f64 y -4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 y -4) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 y (/.f64 -4 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 -4 z))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 -4 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 -4 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -4 z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 z) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 -4 z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 -4 z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 -4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 -4 z))) 1))

simplify172.0ms (3%)

Algorithm
egg-herbie
Rules
1622×times-frac
588×log-prod
554×+-commutative
488×associate-+r+
484×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06678297
116217879
247127879
Stop Event
node limit
Counts
352 → 298
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)))))
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) 1)
(*.f64 (-.f64 x y) (/.f64 1 z))
(*.f64 (/.f64 (-.f64 x y) z) 1)
(*.f64 1 (/.f64 (-.f64 x y) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 z)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) (-.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 (-.f64 x y) z) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2)
(pow.f64 (/.f64 z (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) z))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 -4 z)))) 1)
(/.f64 y (*.f64 z -1/4))
(/.f64 1 (/.f64 z (*.f64 y -4)))
(/.f64 (*.f64 y -4) z)
(/.f64 (neg.f64 (*.f64 y -4)) (neg.f64 z))
(/.f64 (*.f64 y 4) (neg.f64 z))
(/.f64 (*.f64 4 y) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y -4) 1) z)
(/.f64 (/.f64 (*.f64 y -4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 y -4) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 y (/.f64 -4 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 -4 z))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 -4 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 -4 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -4 z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 z) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 -4 z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 -4 z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 -4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 -4 z))) 1))
Outputs
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -1 (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 4 (-.f64 x y)) z))) 1)
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(/.f64 4 (/.f64 z (-.f64 x y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 1 (/.f64 z (*.f64 4 (-.f64 x y))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (*.f64 4 (-.f64 x y)) z)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) 1) z)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (/.f64 (*.f64 4 (-.f64 x y)) z) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)) 3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (pow.f64 (/.f64 (*.f64 4 (-.f64 x y)) z) 3) 1/3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)) 2)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 4 (-.f64 x y)) z) 2))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(log.f64 (exp.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 4 (-.f64 x y)) z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 4 (-.f64 x y)) z) 3))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(exp.f64 (log.f64 (/.f64 (*.f64 4 (-.f64 x y)) z)))
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y z))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (*.f64 (cbrt.f64 (/.f64 y z)) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))))))
(/.f64 (-.f64 x y) z)
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (/.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) (/.f64 y z)))
(/.f64 (-.f64 x y) z)
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (/.f64 y z))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 y z)))
(/.f64 (-.f64 x y) z)
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 z))) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)))))
(/.f64 (-.f64 x y) z)
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) (/.f64 1 (sqrt.f64 z)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))))
(/.f64 (-.f64 x y) z)
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) z) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) z) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))
(/.f64 (-.f64 x y) z)
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)))))
(/.f64 (-.f64 x y) z)
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)))))
(/.f64 (-.f64 x y) z)
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) z)) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) 1))))
(/.f64 (-.f64 x y) z)
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)))))
(/.f64 (-.f64 x y) z)
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) 1)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (-.f64 x y) (/.f64 1 z))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (-.f64 x y) z) 1)
(/.f64 (-.f64 x y) z)
(*.f64 1 (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 x y) z)
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2))
(/.f64 (-.f64 x y) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(/.f64 (-.f64 x y) z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(/.f64 (-.f64 x y) z)
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 1 z) (-.f64 x y))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(/.f64 (-.f64 x y) z)
(pow.f64 (/.f64 (-.f64 x y) z) 1)
(/.f64 (-.f64 x y) z)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 3)
(/.f64 (-.f64 x y) z)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3)
(/.f64 (-.f64 x y) z)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2)
(/.f64 (-.f64 x y) z)
(pow.f64 (/.f64 z (-.f64 x y)) -1)
(/.f64 (-.f64 x y) z)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))
(/.f64 (-.f64 x y) z)
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) z))
(/.f64 (-.f64 x y) z)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2))
(/.f64 (-.f64 x y) z)
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z))))
(/.f64 (-.f64 x y) z)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3))
(/.f64 (-.f64 x y) z)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))
(/.f64 (-.f64 x y) z)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1))
(/.f64 (-.f64 x y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 -4 z)))) 1)
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 -4 z))))
(/.f64 y (*.f64 z -1/4))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 1 (/.f64 z (*.f64 y -4)))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y -4) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (neg.f64 (*.f64 y -4)) (neg.f64 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 y 4) (neg.f64 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (*.f64 4 y) (neg.f64 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (/.f64 (*.f64 y -4) 1) z)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (/.f64 (*.f64 y -4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(/.f64 (/.f64 (*.f64 y -4) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(pow.f64 (*.f64 y (/.f64 -4 z)) 1)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 3)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(pow.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3) 1/3)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 -4 z))) 2)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 -4 z)))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 -4 z)))))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 3))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -4 z) 3)))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 z) 3) (pow.f64 y 3)))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 -4 z))))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 -4 z))))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(exp.f64 (log.f64 (*.f64 y (/.f64 -4 z))))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 -4 z))) 1))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))

eval148.0ms (2.6%)

Compiler

Compiled 9502 to 3486 computations (63.3% saved)

prune205.0ms (3.6%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New2971298
Fresh000
Picked033
Done167
Total29810308
Accuracy
100.0%
Counts
308 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(/.f64 (*.f64 x 4) z)
35.4%
(*.f64 (/.f64 y z) -4)
64.9%
(*.f64 (-.f64 x y) (/.f64 4 z))
35.4%
(*.f64 y (/.f64 -4 z))
35.1%
(*.f64 x (/.f64 4 z))
65.0%
(*.f64 4 (/.f64 (-.f64 x y) z))
69.2%
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
100.0%
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
68.6%
(*.f64 -4 (-.f64 (/.f64 (neg.f64 x) z) -1/2))
35.1%
-2
Compiler

Compiled 89 to 68 computations (23.6% saved)

localize61.0ms (1.1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (-.f64 x y) (/.f64 4 z))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series6.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(*.f64 (-.f64 x y) (/.f64 4 z))
1.0ms
x
@0
(*.f64 (-.f64 x y) (/.f64 4 z))
1.0ms
x
@inf
(*.f64 (-.f64 x y) (/.f64 4 z))
1.0ms
y
@-inf
(*.f64 (-.f64 x y) (/.f64 4 z))
1.0ms
z
@-inf
(*.f64 (-.f64 x y) (/.f64 4 z))

rewrite88.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1294×unpow-prod-down
766×log1p-expm1-u
766×expm1-log1p-u
736×log-prod
718×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
114728
2202328
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (/.f64 4 z))
Outputs
(+.f64 0 (*.f64 (-.f64 x y) (/.f64 4 z)))
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (neg.f64 y) (/.f64 4 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1)
(/.f64 (-.f64 x y) (*.f64 z 1/4))
(/.f64 1 (/.f64 z (*.f64 (-.f64 x y) 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (*.f64 z 1/4) (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 x y) 4) z)
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 4) (*.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) (*.f64 z 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -4) (*.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) (neg.f64 z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 4) (*.f64 (+.f64 x y) z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (*.f64 (+.f64 x y) (*.f64 z 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -4) (*.f64 (+.f64 x y) (neg.f64 z)))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 z (+.f64 x y)))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 z) (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 z) (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 z))
(/.f64 (*.f64 (-.f64 x y) -4) (neg.f64 z))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 4 z)) (+.f64 x y))
(/.f64 (*.f64 -4 (-.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (-.f64 x y) 4) 1) z)
(/.f64 (/.f64 (*.f64 (-.f64 x y) 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (-.f64 x y) 4) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2)
(pow.f64 (/.f64 z (*.f64 (-.f64 x y) 4)) -1)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 2))
(fma.f64 x (/.f64 4 z) (*.f64 (neg.f64 y) (/.f64 4 z)))
(fma.f64 (/.f64 4 z) x (*.f64 (/.f64 4 z) (neg.f64 y)))

simplify150.0ms (2.6%)

Algorithm
egg-herbie
Rules
1664×times-frac
1066×fma-neg
1058×associate-/r*
658×fma-define
618×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01553735
14213029
214732984
377022984
Stop Event
node limit
Counts
85 → 63
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(+.f64 0 (*.f64 (-.f64 x y) (/.f64 4 z)))
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (neg.f64 y) (/.f64 4 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1)
(/.f64 (-.f64 x y) (*.f64 z 1/4))
(/.f64 1 (/.f64 z (*.f64 (-.f64 x y) 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (*.f64 z 1/4) (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 x y) 4) z)
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 4) (*.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) (*.f64 z 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -4) (*.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) (neg.f64 z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 4) (*.f64 (+.f64 x y) z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (*.f64 (+.f64 x y) (*.f64 z 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -4) (*.f64 (+.f64 x y) (neg.f64 z)))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 z (+.f64 x y)))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 z) (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 z) (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 z))
(/.f64 (*.f64 (-.f64 x y) -4) (neg.f64 z))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 4 z)) (+.f64 x y))
(/.f64 (*.f64 -4 (-.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (-.f64 x y) 4) 1) z)
(/.f64 (/.f64 (*.f64 (-.f64 x y) 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (-.f64 x y) 4) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2)
(pow.f64 (/.f64 z (*.f64 (-.f64 x y) 4)) -1)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 2))
(fma.f64 x (/.f64 4 z) (*.f64 (neg.f64 y) (/.f64 4 z)))
(fma.f64 (/.f64 4 z) x (*.f64 (/.f64 4 z) (neg.f64 y)))
Outputs
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 0 (*.f64 (-.f64 x y) (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (*.f64 x (/.f64 4 z)) (*.f64 (neg.f64 y) (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (-.f64 x y) (*.f64 z 1/4))
(/.f64 1 (/.f64 z (*.f64 (-.f64 x y) 4)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (*.f64 z 1/4) (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (*.f64 1/4 (fma.f64 y (+.f64 y x) (pow.f64 x 2)))))
(*.f64 4 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 x y) 4) z)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 4) (*.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) z))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (*.f64 1/4 (fma.f64 y (+.f64 y x) (pow.f64 x 2)))))
(*.f64 4 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) (*.f64 z 1/4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (*.f64 1/4 (fma.f64 y (+.f64 y x) (pow.f64 x 2)))))
(*.f64 4 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -4) (*.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) (neg.f64 z)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (*.f64 1/4 (fma.f64 y (+.f64 y x) (pow.f64 x 2)))))
(*.f64 4 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 4) (*.f64 (+.f64 x y) z))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (*.f64 (+.f64 x y) (*.f64 z 1/4)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -4) (*.f64 (+.f64 x y) (neg.f64 z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 y x)))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (*.f64 1/4 (fma.f64 y (+.f64 y x) (pow.f64 x 2)))))
(*.f64 4 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 z (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 y x)))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 z) (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (*.f64 1/4 (fma.f64 y (+.f64 y x) (pow.f64 x 2)))))
(*.f64 4 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 z) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (*.f64 (-.f64 x y) -4) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (*.f64 1/4 (fma.f64 y (+.f64 y x) (pow.f64 x 2)))))
(*.f64 4 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 z (*.f64 1/4 (fma.f64 y (+.f64 y x) (pow.f64 x 2)))))
(*.f64 4 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 y (+.f64 y x) (pow.f64 x 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 4 z)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 z 1/4) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 y x)))
(/.f64 (*.f64 -4 (-.f64 x y)) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (*.f64 (-.f64 x y) 4) 1) z)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (*.f64 (-.f64 x y) 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(/.f64 (/.f64 (*.f64 (-.f64 x y) 4) (sqrt.f64 z)) (sqrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) 1/3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(pow.f64 (/.f64 z (*.f64 (-.f64 x y) 4)) -1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 1))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 3))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1/3))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 2))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(fma.f64 x (/.f64 4 z) (*.f64 (neg.f64 y) (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))
(fma.f64 (/.f64 4 z) x (*.f64 (/.f64 4 z) (neg.f64 y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 (-.f64 x y) (/.f64 4 z))

eval23.0ms (0.4%)

Compiler

Compiled 814 to 480 computations (41% saved)

prune16.0ms (0.3%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New63063
Fresh000
Picked011
Done099
Total631073
Accuracy
100.0%
Counts
73 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(/.f64 (*.f64 x 4) z)
35.4%
(*.f64 (/.f64 y z) -4)
64.9%
(*.f64 (-.f64 x y) (/.f64 4 z))
35.4%
(*.f64 y (/.f64 -4 z))
35.1%
(*.f64 x (/.f64 4 z))
65.0%
(*.f64 4 (/.f64 (-.f64 x y) z))
69.2%
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
100.0%
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
68.6%
(*.f64 -4 (-.f64 (/.f64 (neg.f64 x) z) -1/2))
35.1%
-2
Compiler

Compiled 173 to 120 computations (30.6% saved)

regimes37.0ms (0.7%)

Counts
12 → 1
Calls
Call 1
Inputs
-2
(*.f64 x (/.f64 4 z))
(*.f64 y (/.f64 -4 z))
(*.f64 (/.f64 y z) -4)
(/.f64 (*.f64 x 4) z)
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (-.f64 (/.f64 (neg.f64 x) z) -1/2))
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(*.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 4 z))
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Outputs
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
Calls

5 calls:

8.0ms
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
7.0ms
y
7.0ms
(-.f64 x y)
7.0ms
z
7.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
100.0%1(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes187.0ms (3.3%)

Counts
9 → 3
Calls
Call 1
Inputs
-2
(*.f64 x (/.f64 4 z))
(*.f64 y (/.f64 -4 z))
(*.f64 (/.f64 y z) -4)
(/.f64 (*.f64 x 4) z)
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (-.f64 (/.f64 (neg.f64 x) z) -1/2))
Outputs
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
(*.f64 -4 (-.f64 (/.f64 (neg.f64 x) z) -1/2))
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
Calls

4 calls:

82.0ms
y
56.0ms
(-.f64 x y)
32.0ms
z
16.0ms
x
Results
AccuracySegmentsBranch
88.9%3x
90.6%3y
87.1%5z
88.8%6(-.f64 x y)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes48.0ms (0.8%)

Counts
8 → 3
Calls
Call 1
Inputs
-2
(*.f64 x (/.f64 4 z))
(*.f64 y (/.f64 -4 z))
(*.f64 (/.f64 y z) -4)
(/.f64 (*.f64 x 4) z)
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
Outputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
Calls

2 calls:

32.0ms
y
16.0ms
x
Results
AccuracySegmentsBranch
88.9%3x
75.4%6y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes19.0ms (0.3%)

Counts
6 → 3
Calls
Call 1
Inputs
-2
(*.f64 x (/.f64 4 z))
(*.f64 y (/.f64 -4 z))
(*.f64 (/.f64 y z) -4)
(/.f64 (*.f64 x 4) z)
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
Outputs
(/.f64 (*.f64 x 4) z)
(*.f64 4 (-.f64 -1/2 (/.f64 y z)))
(/.f64 (*.f64 x 4) z)
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
84.6%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes182.0ms (3.2%)

Counts
5 → 6
Calls
Call 1
Inputs
-2
(*.f64 x (/.f64 4 z))
(*.f64 y (/.f64 -4 z))
(*.f64 (/.f64 y z) -4)
(/.f64 (*.f64 x 4) z)
Outputs
(/.f64 (*.f64 x 4) z)
-2
(*.f64 y (/.f64 -4 z))
-2
(*.f64 (/.f64 y z) -4)
(/.f64 (*.f64 x 4) z)
Calls

3 calls:

85.0ms
y
49.0ms
x
47.0ms
z
Results
AccuracySegmentsBranch
63.9%8y
63.4%10z
65.1%6x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.5%)

Counts
4 → 6
Calls
Call 1
Inputs
-2
(*.f64 x (/.f64 4 z))
(*.f64 y (/.f64 -4 z))
(*.f64 (/.f64 y z) -4)
Outputs
(*.f64 x (/.f64 4 z))
-2
(*.f64 y (/.f64 -4 z))
-2
(*.f64 (/.f64 y z) -4)
(*.f64 x (/.f64 4 z))
Calls

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
65.1%6x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.4%)

Counts
3 → 6
Calls
Call 1
Inputs
-2
(*.f64 x (/.f64 4 z))
(*.f64 y (/.f64 -4 z))
Outputs
(*.f64 x (/.f64 4 z))
-2
(*.f64 y (/.f64 -4 z))
-2
(*.f64 y (/.f64 -4 z))
(*.f64 x (/.f64 4 z))
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
65.1%6x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
-2
(*.f64 x (/.f64 4 z))
Outputs
(*.f64 x (/.f64 4 z))
-2
(*.f64 x (/.f64 4 z))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
57.9%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-2
Outputs
-2
Calls

3 calls:

4.0ms
x
3.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
35.1%1z
35.1%1y
35.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch39.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
9.134235951386744e-45
9.389332147880609e-35
17.0ms
-5.2256128364521026e+22
-2167223491695230700.0
Results
28.0ms228×256valid
5.0ms44×256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 434 to 357 computations (17.7% saved)

bsearch56.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
3.1867160972099945e-72
5.326199241435494e-67
37.0ms
-4.2602799702861166e+46
-1.6115126199789175e+38
Results
46.0ms228×256valid
5.0ms44×256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 416 to 321 computations (22.8% saved)

bsearch113.0ms (2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
97.0ms
3.216003050000628e+161
1.1301466086977115e+165
15.0ms
-9.999177791359258e+174
-1.2082398991624276e+173
Results
18.0ms161×256valid
88.0ms63×256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 320 to 255 computations (20.3% saved)

bsearch94.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.825803380335604e+62
2.8319424284557846e+65
23.0ms
5.127762548556033e-160
5.6231595956573e-140
15.0ms
8.965485458529217e-246
2.3354108230085005e-244
19.0ms
4.6625103556694914e-291
3.423798403506269e-286
19.0ms
-4.2602799702861166e+46
-1.6115126199789175e+38
Results
68.0ms559×256valid
14.0ms129×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256infinite
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 668 to 559 computations (16.3% saved)

bsearch91.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.825803380335604e+62
2.8319424284557846e+65
23.0ms
5.127762548556033e-160
5.6231595956573e-140
14.0ms
8.965485458529217e-246
2.3354108230085005e-244
19.0ms
4.6625103556694914e-291
3.423798403506269e-286
18.0ms
-4.2602799702861166e+46
-1.6115126199789175e+38
Results
69.0ms584×256valid
11.0ms104×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
Compiler

Compiled 668 to 559 computations (16.3% saved)

bsearch90.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.825803380335604e+62
2.8319424284557846e+65
23.0ms
5.127762548556033e-160
5.6231595956573e-140
14.0ms
8.965485458529217e-246
2.3354108230085005e-244
18.0ms
4.6625103556694914e-291
3.423798403506269e-286
19.0ms
-4.2602799702861166e+46
-1.6115126199789175e+38
Results
68.0ms588×256valid
12.0ms100×256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
Compiler

Compiled 668 to 559 computations (16.3% saved)

bsearch36.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.1867160972099945e-72
5.326199241435494e-67
19.0ms
-4.2602799702861166e+46
-1.6115126199789175e+38
Results
25.0ms230×256valid
4.0ms42×256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
Compiler

Compiled 272 to 231 computations (15.1% saved)

simplify30.0ms (0.5%)

Algorithm
egg-herbie
Rules
36×*-commutative
30×+-commutative
28×sub-neg
20×neg-sub0
20×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105744
1140744
2161744
3181744
4196744
5202744
6205744
7206744
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(if (<=.f64 y -7200000000000000000000) (*.f64 4 (-.f64 -1/2 (/.f64 y z))) (if (<=.f64 y 2454387389668025/11972621413014756705924586149611790497021399392059392) (*.f64 -4 (-.f64 (/.f64 (neg.f64 x) z) -1/2)) (*.f64 4 (-.f64 -1/2 (/.f64 y z)))))
(if (<=.f64 x -400000000000000002480034580163113277980672) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 8043863381872159/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (*.f64 4 (-.f64 -1/2 (/.f64 y z))) (*.f64 4 (/.f64 (-.f64 x y) z))))
(if (<=.f64 x -121999999999999995671758782292627487390530900903931514837369588266817231282225287808706641167212812082574504849729275945534692893269875348977427242192347906389303042752118784) (/.f64 (*.f64 x 4) z) (if (<=.f64 x 860000000000000002492682110442682607505673995011052666438002488249792862034926618630517287039276944959899349372605146366835578996368120715183895504649406893785088) (*.f64 4 (-.f64 -1/2 (/.f64 y z))) (/.f64 (*.f64 x 4) z)))
(if (<=.f64 x -140000000000000004427089716002557937628217344) (/.f64 (*.f64 x 4) z) (if (<=.f64 x 5143241314494083/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) -2 (if (<=.f64 x 2829072581632133/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (*.f64 y (/.f64 -4 z)) (if (<=.f64 x 6059594836091061/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) -2 (if (<=.f64 x 1219999999999999935397809677018383255579074974537370016396869632) (*.f64 (/.f64 y z) -4) (/.f64 (*.f64 x 4) z))))))
(if (<=.f64 x -1699999999999999875140455168854763864326144) (*.f64 x (/.f64 4 z)) (if (<=.f64 x 7611997145451243/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) -2 (if (<=.f64 x 7380189343388173/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (*.f64 y (/.f64 -4 z)) (if (<=.f64 x 6191657103222841/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) -2 (if (<=.f64 x 8799999999999999486098901364365291738482349563342242096766517248) (*.f64 (/.f64 y z) -4) (*.f64 x (/.f64 4 z)))))))
(if (<=.f64 x -74999999999999996712500739696774781333405696) (*.f64 x (/.f64 4 z)) (if (<=.f64 x 5486124068793689/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128) -2 (if (<=.f64 x 1752794969054691/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904) (*.f64 y (/.f64 -4 z)) (if (<=.f64 x 8435463364768493/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) -2 (if (<=.f64 x 579999999999999967790043086891011180722342167488787569623171072) (*.f64 y (/.f64 -4 z)) (*.f64 x (/.f64 4 z)))))))
(if (<=.f64 x -54999999999999997439582787697318056427520) (*.f64 x (/.f64 4 z)) (if (<=.f64 x 8043863381872159/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) -2 (*.f64 x (/.f64 4 z))))
-2
Outputs
(*.f64 -4 (-.f64 (/.f64 (-.f64 y x) z) -1/2))
(if (<=.f64 y -7200000000000000000000) (*.f64 4 (-.f64 -1/2 (/.f64 y z))) (if (<=.f64 y 2454387389668025/11972621413014756705924586149611790497021399392059392) (*.f64 -4 (-.f64 (/.f64 (neg.f64 x) z) -1/2)) (*.f64 4 (-.f64 -1/2 (/.f64 y z)))))
(if (or (<=.f64 y -7200000000000000000000) (not (<=.f64 y 2454387389668025/11972621413014756705924586149611790497021399392059392))) (*.f64 4 (-.f64 -1/2 (/.f64 y z))) (*.f64 -4 (-.f64 (/.f64 (neg.f64 x) z) -1/2)))
(if (or (<=.f64 y -7200000000000000000000) (not (<=.f64 y 2454387389668025/11972621413014756705924586149611790497021399392059392))) (*.f64 4 (-.f64 -1/2 (/.f64 y z))) (*.f64 -4 (-.f64 (/.f64 x (neg.f64 z)) -1/2)))
(if (<=.f64 x -400000000000000002480034580163113277980672) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 8043863381872159/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (*.f64 4 (-.f64 -1/2 (/.f64 y z))) (*.f64 4 (/.f64 (-.f64 x y) z))))
(if (or (<=.f64 x -400000000000000002480034580163113277980672) (not (<=.f64 x 8043863381872159/15177100720513508366558296147058741458143803430094840009779784451085189728165691392))) (*.f64 4 (/.f64 (-.f64 x y) z)) (*.f64 4 (-.f64 -1/2 (/.f64 y z))))
(if (<=.f64 x -121999999999999995671758782292627487390530900903931514837369588266817231282225287808706641167212812082574504849729275945534692893269875348977427242192347906389303042752118784) (/.f64 (*.f64 x 4) z) (if (<=.f64 x 860000000000000002492682110442682607505673995011052666438002488249792862034926618630517287039276944959899349372605146366835578996368120715183895504649406893785088) (*.f64 4 (-.f64 -1/2 (/.f64 y z))) (/.f64 (*.f64 x 4) z)))
(if (or (<=.f64 x -121999999999999995671758782292627487390530900903931514837369588266817231282225287808706641167212812082574504849729275945534692893269875348977427242192347906389303042752118784) (not (<=.f64 x 860000000000000002492682110442682607505673995011052666438002488249792862034926618630517287039276944959899349372605146366835578996368120715183895504649406893785088))) (/.f64 (*.f64 x 4) z) (*.f64 4 (-.f64 -1/2 (/.f64 y z))))
(if (<=.f64 x -140000000000000004427089716002557937628217344) (/.f64 (*.f64 x 4) z) (if (<=.f64 x 5143241314494083/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) -2 (if (<=.f64 x 2829072581632133/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (*.f64 y (/.f64 -4 z)) (if (<=.f64 x 6059594836091061/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) -2 (if (<=.f64 x 1219999999999999935397809677018383255579074974537370016396869632) (*.f64 (/.f64 y z) -4) (/.f64 (*.f64 x 4) z))))))
(if (<=.f64 x -140000000000000004427089716002557937628217344) (/.f64 (*.f64 x 4) z) (if (<=.f64 x 5143241314494083/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) -2 (if (<=.f64 x 2829072581632133/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (*.f64 y (/.f64 -4 z)) (if (<=.f64 x 6059594836091061/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) -2 (if (<=.f64 x 1219999999999999935397809677018383255579074974537370016396869632) (*.f64 -4 (/.f64 y z)) (/.f64 (*.f64 x 4) z))))))
(if (<=.f64 x -1699999999999999875140455168854763864326144) (*.f64 x (/.f64 4 z)) (if (<=.f64 x 7611997145451243/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) -2 (if (<=.f64 x 7380189343388173/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (*.f64 y (/.f64 -4 z)) (if (<=.f64 x 6191657103222841/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) -2 (if (<=.f64 x 8799999999999999486098901364365291738482349563342242096766517248) (*.f64 (/.f64 y z) -4) (*.f64 x (/.f64 4 z)))))))
(if (<=.f64 x -1699999999999999875140455168854763864326144) (*.f64 x (/.f64 4 z)) (if (<=.f64 x 7611997145451243/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) -2 (if (<=.f64 x 7380189343388173/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (*.f64 y (/.f64 -4 z)) (if (<=.f64 x 6191657103222841/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) -2 (if (<=.f64 x 8799999999999999486098901364365291738482349563342242096766517248) (*.f64 -4 (/.f64 y z)) (*.f64 x (/.f64 4 z)))))))
(if (<=.f64 x -74999999999999996712500739696774781333405696) (*.f64 x (/.f64 4 z)) (if (<=.f64 x 5486124068793689/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128) -2 (if (<=.f64 x 1752794969054691/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904) (*.f64 y (/.f64 -4 z)) (if (<=.f64 x 8435463364768493/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) -2 (if (<=.f64 x 579999999999999967790043086891011180722342167488787569623171072) (*.f64 y (/.f64 -4 z)) (*.f64 x (/.f64 4 z)))))))
(if (<=.f64 x -54999999999999997439582787697318056427520) (*.f64 x (/.f64 4 z)) (if (<=.f64 x 8043863381872159/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) -2 (*.f64 x (/.f64 4 z))))
(if (or (<=.f64 x -54999999999999997439582787697318056427520) (not (<=.f64 x 8043863381872159/15177100720513508366558296147058741458143803430094840009779784451085189728165691392))) (*.f64 x (/.f64 4 z)) -2)
-2
Compiler

Compiled 246 to 181 computations (26.4% saved)

soundness844.0ms (14.8%)

Rules
1312×fma-define
1230×times-frac
1106×distribute-rgt-in
1106×distribute-lft-in
1106×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049513
1142481
2438437
31735374
46434374
049513
1142481
2438437
31735374
46434374
02746182
17315839
224765545
02746182
17315839
224765545
02473850
15703712
219393604
02746182
17315839
224765545
02746182
17315839
224765545
02746182
17315839
224765545
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 613 to 377 computations (38.5% saved)

end0.0ms (0%)

preprocess134.0ms (2.4%)

Compiler

Compiled 504 to 350 computations (30.6% saved)

Profiling

Loading profile data...