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

Time bar (total: 6.4s)

analyze50.0ms (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
50%49.9%49.9%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
75%74.9%25%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
87.5%87.4%12.5%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
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (16.6%)

Results
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Bogosity

preprocess292.0ms (4.6%)

Algorithm
egg-herbie
Rules
1398×div-sub
748×fma-define
516×associate-*r/
492×sub-neg
486×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 (+.f64 x (*.f64 y 1/4)) z)
00-0-y
00-0-1/4
00-0-(*.f64 y 1/4)
00-0-z
00-0-4
00-0-(*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z))
00-0-(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
00-0-(+.f64 x (*.f64 y 1/4))
00-0-1
00-0-(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057591
1144491
2439459
31309451
43926388
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 (neg.f64 x) (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 (neg.f64 y) 1/4)) z)) (neg.f64 y)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) (neg.f64 z))) y))
(neg.f64 (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 (neg.f64 x) (*.f64 y 1/4)) z)) y)))
(neg.f64 (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 (neg.f64 y) 1/4)) z)) (neg.f64 y))))
(neg.f64 (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) (neg.f64 z))) y)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z))
Outputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (*.f64 4 (/.f64 (+.f64 x (-.f64 (*.f64 y 1/4) z)) y)))
(fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)
(+.f64 1 (/.f64 (fma.f64 z -4 (fma.f64 4 x y)) y))
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (*.f64 4 (/.f64 (+.f64 x (-.f64 (*.f64 y 1/4) z)) y)))
(fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)
(+.f64 1 (/.f64 (fma.f64 z -4 (fma.f64 4 x y)) y))
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 (neg.f64 x) (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (*.f64 4 (+.f64 (neg.f64 x) (-.f64 (*.f64 y 1/4) z))) y))
(fma.f64 4 (/.f64 (-.f64 (-.f64 (*.f64 y 1/4) x) z) y) 1)
(fma.f64 4 (/.f64 (-.f64 (-.f64 (*.f64 y 1/4) z) x) y) 1)
(+.f64 1 (/.f64 (fma.f64 z -4 (fma.f64 x -4 y)) y))
(+.f64 (/.f64 (*.f64 -4 (+.f64 x z)) y) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 (neg.f64 y) 1/4)) z)) (neg.f64 y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 (+.f64 x (*.f64 1/4 (neg.f64 y))) z) (neg.f64 y))))
(-.f64 1 (*.f64 4 (/.f64 (+.f64 x (-.f64 (*.f64 y -1/4) z)) y)))
(fma.f64 (-.f64 x (fma.f64 y 1/4 z)) (/.f64 -4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 z (fma.f64 x -4 y)) y))
(-.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) (neg.f64 z))) y))
(fma.f64 4 (/.f64 (+.f64 x (fma.f64 y 1/4 z)) y) 1)
(+.f64 1 (/.f64 (fma.f64 4 x (fma.f64 4 z y)) y))
(+.f64 (*.f64 (/.f64 4 y) (+.f64 x z)) 2)
(neg.f64 (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 (neg.f64 x) (*.f64 y 1/4)) z)) y)))
(+.f64 -1 (neg.f64 (/.f64 (*.f64 4 (+.f64 (neg.f64 x) (-.f64 (*.f64 y 1/4) z))) y)))
(-.f64 -1 (*.f64 (-.f64 (-.f64 (*.f64 y 1/4) x) z) (/.f64 4 y)))
(fma.f64 -4 (/.f64 (-.f64 (-.f64 (*.f64 y 1/4) z) x) y) -1)
(-.f64 -1 (/.f64 (fma.f64 z -4 (fma.f64 x -4 y)) y))
(-.f64 -2 (/.f64 (*.f64 -4 (+.f64 x z)) y))
(neg.f64 (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 (neg.f64 y) 1/4)) z)) (neg.f64 y))))
(neg.f64 (+.f64 1 (*.f64 4 (/.f64 (-.f64 (+.f64 x (*.f64 1/4 (neg.f64 y))) z) (neg.f64 y)))))
(+.f64 -1 (*.f64 4 (/.f64 (+.f64 x (-.f64 (*.f64 y -1/4) z)) y)))
(fma.f64 4 (/.f64 (-.f64 x (fma.f64 y 1/4 z)) y) -1)
(-.f64 -1 (/.f64 (fma.f64 4 z (fma.f64 x -4 y)) y))
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) -2)
(neg.f64 (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) (neg.f64 z))) y)))
(+.f64 -1 (neg.f64 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) (neg.f64 z))) y)))
(-.f64 -1 (*.f64 (+.f64 x (fma.f64 y 1/4 z)) (/.f64 4 y)))
(fma.f64 -4 (/.f64 (+.f64 x (fma.f64 y 1/4 z)) y) -1)
(-.f64 -1 (/.f64 (fma.f64 4 x (fma.f64 4 z y)) y))
(-.f64 -2 (*.f64 (/.f64 4 y) (+.f64 x z)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x))
(fma.f64 4 (/.f64 (-.f64 (fma.f64 x 1/4 y) z) x) 1)
(+.f64 1 (/.f64 (fma.f64 z -4 (fma.f64 4 y x)) x))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 1/4)) x)) y))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 (+.f64 x (*.f64 1/4 (neg.f64 y))) z) (neg.f64 y))))
(-.f64 1 (*.f64 4 (/.f64 (+.f64 x (-.f64 (*.f64 y -1/4) z)) y)))
(fma.f64 (-.f64 x (fma.f64 y 1/4 z)) (/.f64 -4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 z (fma.f64 x -4 y)) y))
(-.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z))
(+.f64 1 (/.f64 (*.f64 4 (+.f64 x (-.f64 (*.f64 1/4 z) y))) z))
(fma.f64 4 (/.f64 (-.f64 (fma.f64 1/4 z x) y) z) 1)
(+.f64 1 (/.f64 (fma.f64 y -4 (fma.f64 4 x z)) z))
Compiler

Compiled 132 to 88 computations (33.3% saved)

eval1.0ms (0%)

Compiler

Compiled 47 to 32 computations (31.9% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
100.0%
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Compiler

Compiled 28 to 21 computations (25% saved)

localize134.0ms (2.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
99.7%
(*.f64 (/.f64 4 y) (-.f64 x z))
100.0%
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
99.9%
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
Compiler

Compiled 85 to 51 computations (40% saved)

series35.0ms (0.5%)

Counts
4 → 144
Calls

36 calls:

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

rewrite287.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
1282×log1p-expm1-u
406×expm1-log1p-u
240×associate-*r*
159×add-cube-cbrt
157×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023150
1345138
25355138
Stop Event
node limit
Counts
4 → 151
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
Outputs
(-.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1) 1)
(*.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))
(*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))
(*.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (/.f64 1 y))
(*.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 1)
(*.f64 1 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) 2) (cbrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) (*.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) (/.f64 1 y)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))))
(*.f64 (sqrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) (/.f64 (sqrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) y))
(*.f64 (sqrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) (*.f64 (sqrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) (/.f64 1 y)))
(*.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) -4) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)))
(*.f64 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 4)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) (sqrt.f64 y)) (/.f64 4 (sqrt.f64 y)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 (fma.f64 y 1/4 x) z) (cbrt.f64 y)))
(*.f64 (/.f64 4 (sqrt.f64 y)) (/.f64 (-.f64 (fma.f64 y 1/4 x) z) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) 1) (/.f64 4 y))
(*.f64 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 4 (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) 1) (/.f64 (sqrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z))) (cbrt.f64 y)))
(pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) 2)
(pow.f64 (*.f64 1/4 (/.f64 y (-.f64 (fma.f64 y 1/4 x) z))) -1)
(neg.f64 (/.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) -4) y))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))))
(exp.f64 (log.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)))) (/.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2) (-.f64 1 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)))))
(*.f64 1 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1))
(*.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)) 2) (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)))
(*.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)) (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2) (*.f64 -4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2)) (/.f64 1 (-.f64 1 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2) (*.f64 -4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))) (+.f64 1 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) (-.f64 1 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2) (*.f64 -4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2) (-.f64 1 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2)) (-.f64 1 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2) (*.f64 -4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2))) (neg.f64 (-.f64 1 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 2) 1) (-.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 1))
(pow.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1) 2))
(log.f64 (exp.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)))
(log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)))
(exp.f64 (log1p.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) 1))
(fma.f64 4 (/.f64 (-.f64 (fma.f64 y 1/4 x) z) y) 1)
(fma.f64 (*.f64 4 (-.f64 (fma.f64 y 1/4 x) z)) (/.f64 1 y) 1)
(fma.f64 1 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) 2) (cbrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) 1)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y))) 1)
(+.f64 (*.f64 (/.f64 4 y) x) (*.f64 (/.f64 4 y) (neg.f64 z)))
(+.f64 (*.f64 x (/.f64 4 y)) (*.f64 (neg.f64 z) (/.f64 4 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 y) (-.f64 x z)))) 1)
(/.f64 1 (/.f64 y (*.f64 4 (-.f64 x z))))
(/.f64 (-.f64 x z) (*.f64 y 1/4))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (+.f64 x z)))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 (neg.f64 y) (+.f64 x z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 4) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 1) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 y 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) -4) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) 4) (*.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) 1) (*.f64 (+.f64 x z) (*.f64 y 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) -4) (*.f64 (+.f64 x z) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 4 (-.f64 x z))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 4 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (/.f64 4 y) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (+.f64 x z))
(/.f64 (*.f64 (-.f64 x z) -4) (neg.f64 y))
(/.f64 (*.f64 -4 (-.f64 x z)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 4 y)) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 4 y)) (+.f64 x z))
(/.f64 (/.f64 (*.f64 4 (-.f64 x z)) 1) y)
(/.f64 (/.f64 (*.f64 4 (-.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 4 (-.f64 x z)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 y) (-.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 y) (-.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 y) (-.f64 x z))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 y) (-.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (fma.f64 (/.f64 4 y) (-.f64 x z) -2)) (/.f64 4 (fma.f64 (/.f64 4 y) (-.f64 x z) -2)))
(*.f64 1 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))
(*.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2) (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8) (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (-.f64 4 (*.f64 (/.f64 4 y) (*.f64 (-.f64 x z) 2))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) -4) (/.f64 1 (fma.f64 (/.f64 4 y) (-.f64 x z) -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (-.f64 4 (*.f64 (/.f64 4 y) (*.f64 (-.f64 x z) 2)))) (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8)))
(/.f64 1 (/.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) -2) (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) -4)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8) (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (-.f64 4 (*.f64 (/.f64 4 y) (*.f64 (-.f64 x z) 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8) (+.f64 4 (-.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (*.f64 (/.f64 4 y) (*.f64 (-.f64 x z) 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) -4) (fma.f64 (/.f64 4 y) (-.f64 x z) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8)) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (-.f64 4 (*.f64 (/.f64 4 y) (*.f64 (-.f64 x z) 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) -4)) (neg.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) -2)))
(/.f64 (-.f64 4 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)) (-.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))))
(pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(exp.f64 (log.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 1))
(fma.f64 1 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2) (cbrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) (sqrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2)

simplify324.0ms (5.1%)

Algorithm
egg-herbie
Rules
896×fma-neg
796×distribute-lft-neg-in
732×distribute-rgt-neg-in
628×log-prod
418×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038313080
1103112780
2365511668
Stop Event
node limit
Counts
295 → 236
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (/.f64 (+.f64 x (*.f64 1/4 y)) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 x (*.f64 1/4 y)) y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 x (*.f64 1/4 y)) y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 x (*.f64 1/4 y)) y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
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(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (+.f64 x z)))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 (neg.f64 y) (+.f64 x z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 4) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 1) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 y 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) -4) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) 4) (*.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) 1) (*.f64 (+.f64 x z) (*.f64 y 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) -4) (*.f64 (+.f64 x z) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 4 (-.f64 x z))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 4 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (/.f64 4 y) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (+.f64 x z))
(/.f64 (*.f64 (-.f64 x z) -4) (neg.f64 y))
(/.f64 (*.f64 -4 (-.f64 x z)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 4 y)) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 4 y)) (+.f64 x z))
(/.f64 (/.f64 (*.f64 4 (-.f64 x z)) 1) y)
(/.f64 (/.f64 (*.f64 4 (-.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 4 (-.f64 x z)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 y) (-.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 y) (-.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 y) (-.f64 x z))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 y) (-.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (fma.f64 (/.f64 4 y) (-.f64 x z) -2)) (/.f64 4 (fma.f64 (/.f64 4 y) (-.f64 x z) -2)))
(*.f64 1 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))
(*.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2) (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8) (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (-.f64 4 (*.f64 (/.f64 4 y) (*.f64 (-.f64 x z) 2))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) -4) (/.f64 1 (fma.f64 (/.f64 4 y) (-.f64 x z) -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (-.f64 4 (*.f64 (/.f64 4 y) (*.f64 (-.f64 x z) 2)))) (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8)))
(/.f64 1 (/.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) -2) (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) -4)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8) (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (-.f64 4 (*.f64 (/.f64 4 y) (*.f64 (-.f64 x z) 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8) (+.f64 4 (-.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (*.f64 (/.f64 4 y) (*.f64 (-.f64 x z) 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) -4) (fma.f64 (/.f64 4 y) (-.f64 x z) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 3) 8)) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) (-.f64 4 (*.f64 (/.f64 4 y) (*.f64 (-.f64 x z) 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2) -4)) (neg.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) -2)))
(/.f64 (-.f64 4 (pow.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)) (-.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z))))
(pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(exp.f64 (log.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 4 y) (-.f64 x z) 2)) 1))
(fma.f64 1 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2) (cbrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) (sqrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2)
Outputs
(*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))
(/.f64 (*.f64 4 (-.f64 (*.f64 1/4 y) z)) y)
(-.f64 1 (/.f64 (*.f64 4 z) y))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(*.f64 4 (/.f64 (+.f64 x (*.f64 1/4 y)) y))
(*.f64 4 (/.f64 (fma.f64 y 1/4 x) y))
(*.f64 4 (/.f64 (fma.f64 1/4 y x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 x (*.f64 1/4 y)) y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 (fma.f64 y 1/4 x) y)))
(fma.f64 4 (/.f64 (fma.f64 1/4 y x) y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 x (*.f64 1/4 y)) y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 (fma.f64 y 1/4 x) y)))
(fma.f64 4 (/.f64 (fma.f64 1/4 y x) y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 x (*.f64 1/4 y)) y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 (fma.f64 y 1/4 x) y)))
(fma.f64 4 (/.f64 (fma.f64 1/4 y x) y) (*.f64 z (/.f64 -4 y)))
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(+.f64 1 (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(+.f64 (/.f64 (*.f64 4 (-.f64 (*.f64 1/4 y) z)) y) 1)
(fma.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y) 1)
(fma.f64 4 (-.f64 1/4 (/.f64 z y)) 1)
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(+.f64 1 (fma.f64 4 (/.f64 (-.f64 x z) y) 1))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(+.f64 1 (fma.f64 4 (/.f64 (-.f64 x z) y) 1))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(+.f64 1 (fma.f64 4 (/.f64 (-.f64 x z) y) 1))
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(*.f64 x (/.f64 4 y))
(+.f64 1 (+.f64 (*.f64 4 (-.f64 1/4 (/.f64 z y))) (*.f64 4 (/.f64 x y))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(+.f64 1 (fma.f64 4 (/.f64 (-.f64 x z) y) 1))
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(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2) (cbrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) (sqrt.f64 (*.f64 (/.f64 4 y) (-.f64 x z))) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

eval138.0ms (2.2%)

Compiler

Compiled 4001 to 2603 computations (34.9% saved)

prune119.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2297236
Fresh000
Picked112
Done000
Total2308238
Accuracy
100.0%
Counts
238 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
100.0%
(+.f64 (/.f64 (-.f64 x z) (*.f64 y 1/4)) 2)
61.5%
(+.f64 (/.f64 (*.f64 4 x) y) 2)
72.3%
(+.f64 (*.f64 (/.f64 z y) -4) 2)
99.8%
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
46.5%
(+.f64 1 (*.f64 z (/.f64 -4 y)))
36.7%
(+.f64 1 (*.f64 x (/.f64 4 y)))
31.8%
2
Compiler

Compiled 146 to 115 computations (21.2% saved)

localize165.0ms (2.6%)

Localize:

Found 7 expressions with local error:

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

Compiled 89 to 51 computations (42.7% saved)

series53.0ms (0.8%)

Counts
7 → 192
Calls

48 calls:

TimeVariablePointExpression
10.0ms
z
@0
(*.f64 z (/.f64 -4 y))
3.0ms
z
@inf
(+.f64 (*.f64 (/.f64 z y) -4) 2)
2.0ms
y
@0
(*.f64 z (/.f64 -4 y))
2.0ms
y
@inf
(*.f64 z (/.f64 -4 y))
2.0ms
y
@0
(/.f64 (-.f64 x z) (*.f64 y 1/4))

rewrite184.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1280×log1p-expm1-u
256×associate-*r*
194×associate-*l*
178×times-frac
170×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026165
1390157
25815157
Stop Event
node limit
Counts
7 → 249
Calls
Call 1
Inputs
(/.f64 (-.f64 x z) (*.f64 y 1/4))
(+.f64 (/.f64 (-.f64 x z) (*.f64 y 1/4)) 2)
(*.f64 x (/.f64 4 y))
(+.f64 1 (*.f64 x (/.f64 4 y)))
(*.f64 z (/.f64 -4 y))
(*.f64 (/.f64 z y) -4)
(+.f64 (*.f64 (/.f64 z y) -4) 2)
Outputs
(+.f64 (*.f64 x (/.f64 4 y)) (neg.f64 (*.f64 z (/.f64 4 y))))
(-.f64 (*.f64 x (/.f64 4 y)) (*.f64 z (/.f64 4 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))) 1)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 1)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 2) (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (/.f64 (cbrt.f64 (-.f64 x z)) (*.f64 y 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 4 y)))
(*.f64 (/.f64 2 (sqrt.f64 y)) (/.f64 (-.f64 x z) (*.f64 (sqrt.f64 y) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 1/2) (/.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 1/2))
(*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 y 1/4)))
(*.f64 (sqrt.f64 (-.f64 x z)) (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 4 y)))
(*.f64 (neg.f64 (-.f64 x z)) (/.f64 4 y))
(*.f64 (/.f64 1 y) (/.f64 (-.f64 x z) 1/4))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x z)) (*.f64 y 1/4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) 1) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 y 1/4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) y) (/.f64 (sqrt.f64 (-.f64 x z)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 y 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) y) (/.f64 (cbrt.f64 (-.f64 x z)) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) 1/4) (/.f64 (cbrt.f64 (-.f64 x z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 (sqrt.f64 y) 1/2)) (/.f64 (cbrt.f64 (-.f64 x z)) (*.f64 (sqrt.f64 y) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) 1/4) (/.f64 (sqrt.f64 (-.f64 x z)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (/.f64 (sqrt.f64 (-.f64 x z)) (cbrt.f64 (*.f64 y 1/4))))
(pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 3)
(pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 1/2) 2)
(pow.f64 (*.f64 y (/.f64 1/4 (-.f64 x z))) -1)
(neg.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 x z)) (/.f64 4 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))
(exp.f64 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 1))
(-.f64 (*.f64 x (/.f64 4 y)) (fma.f64 z (/.f64 4 y) -2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (fma.f64 (-.f64 x z) (/.f64 4 y) -2)) (/.f64 4 (fma.f64 (-.f64 x z) (/.f64 4 y) -2)))
(-.f64 (+.f64 2 (*.f64 x (/.f64 4 y))) (*.f64 z (/.f64 4 y)))
(*.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2) 1)
(*.f64 1 (fma.f64 (-.f64 x z) (/.f64 4 y) 2))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) 2) (cbrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) (sqrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 8) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (+.f64 4 (*.f64 (-.f64 x z) (*.f64 (/.f64 4 y) 2))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) -4) (/.f64 1 (fma.f64 (-.f64 x z) (/.f64 4 y) -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (+.f64 4 (*.f64 (-.f64 x z) (*.f64 (/.f64 4 y) 2)))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 8)))
(/.f64 1 (/.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) -2) (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) -4)))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 8) (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (+.f64 4 (*.f64 (-.f64 x z) (*.f64 (/.f64 4 y) 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 8) (+.f64 4 (-.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (*.f64 (-.f64 x z) (*.f64 (/.f64 4 y) 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) -4) (fma.f64 (-.f64 x z) (/.f64 4 y) -2))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 8)) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (+.f64 4 (*.f64 (-.f64 x z) (*.f64 (/.f64 4 y) 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) -4)) (neg.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) -2)))
(/.f64 (-.f64 4 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2)) (-.f64 2 (*.f64 (-.f64 x z) (/.f64 4 y))))
(pow.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(exp.f64 (log.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) 1))
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 2) (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 2)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 1/2) (/.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 1/2) 2)
(-.f64 (fma.f64 x (/.f64 4 y) 1) 1)
(/.f64 x (*.f64 y 1/4))
(/.f64 1 (/.f64 y (*.f64 x 4)))
(/.f64 1 (/.f64 (*.f64 y 1/4) x))
(/.f64 (*.f64 x 4) y)
(/.f64 (neg.f64 x) (*.f64 y 1/4))
(/.f64 (neg.f64 (*.f64 x 4)) (neg.f64 y))
(/.f64 (/.f64 x y) 1/4)
(/.f64 (/.f64 x 1) (*.f64 y 1/4))
(/.f64 (/.f64 x 1/4) y)
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) 1/2)) (*.f64 (sqrt.f64 y) 1/2))
(/.f64 (*.f64 x -4) (neg.f64 y))
(/.f64 (*.f64 -4 x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x 4) 1) y)
(/.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (cbrt.f64 (*.f64 y 1/4)))
(pow.f64 (*.f64 x (/.f64 4 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 4 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 4 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 4 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 4 y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 4 y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 4 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 4 y))) 1))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 y 1/4))))
(-.f64 1 (*.f64 x (/.f64 4 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 4 y) 1))) 1)
(-.f64 (/.f64 1 (fma.f64 x (/.f64 4 y) 1)) (/.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (fma.f64 x (/.f64 4 y) 1)))
(*.f64 1 (fma.f64 x (/.f64 4 y) 1))
(*.f64 (fma.f64 x (/.f64 4 y) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 4 y) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 y) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 y) 1)) 2) (cbrt.f64 (fma.f64 x (/.f64 4 y) 1)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 4 y) 1)) (sqrt.f64 (fma.f64 x (/.f64 4 y) 1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (*.f64 x (/.f64 4 y))))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 2)) (/.f64 1 (fma.f64 x (/.f64 4 y) 1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (*.f64 x (/.f64 4 y)))) (+.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3))))
(/.f64 1 (/.f64 (fma.f64 x (/.f64 4 y) 1) (-.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 2))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (*.f64 x (/.f64 4 y)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (fma.f64 x (/.f64 4 y) 1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 2)) (fma.f64 x (/.f64 4 y) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (*.f64 x (/.f64 4 y))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 2))) (neg.f64 (fma.f64 x (/.f64 4 y) 1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (*.f64 x (/.f64 4 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) 1) (-.f64 (*.f64 x (/.f64 4 y)) 1))
(pow.f64 (fma.f64 x (/.f64 4 y) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 y) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 4 y) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 4 y) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 4 y) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (/.f64 4 y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 4 y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 4 y) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 4 y) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 4 y) 1)))
(exp.f64 (log1p.f64 (*.f64 x (/.f64 4 y))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (/.f64 4 y))) 1))
(fma.f64 x (/.f64 4 y) 1)
(fma.f64 (/.f64 4 y) x 1)
(fma.f64 1 (*.f64 x (/.f64 4 y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 y))) 2) (cbrt.f64 (*.f64 x (/.f64 4 y))) 1)
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 4 y))) (sqrt.f64 (*.f64 x (/.f64 4 y))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 4 y)))) 1)
(/.f64 z (*.f64 y 1/4))
(/.f64 1 (/.f64 y (*.f64 z -4)))
(/.f64 1 (/.f64 (*.f64 y 1/4) z))
(/.f64 -4 (/.f64 y z))
(/.f64 (/.f64 z y) 1/4)
(/.f64 (neg.f64 z) (*.f64 y 1/4))
(/.f64 (*.f64 z -4) y)
(/.f64 (neg.f64 (*.f64 z -4)) (neg.f64 y))
(/.f64 (/.f64 z 1) (*.f64 y 1/4))
(/.f64 (/.f64 z 1/4) y)
(/.f64 (/.f64 z (*.f64 (sqrt.f64 y) 1/2)) (*.f64 (sqrt.f64 y) 1/2))
(/.f64 (*.f64 z 4) (neg.f64 y))
(/.f64 (*.f64 -4 (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 4 z) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) -4) (neg.f64 y))
(/.f64 (/.f64 (*.f64 z -4) 1) y)
(/.f64 (/.f64 (*.f64 z -4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z -4) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (cbrt.f64 (*.f64 y 1/4)))
(pow.f64 (*.f64 z (/.f64 4 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 4 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 4 y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 4 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (*.f64 y 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 4 y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 4 y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 4 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 4 y))) 1))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (*.f64 y 1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 4 y)))) 1)
(/.f64 z (*.f64 y 1/4))
(/.f64 1 (/.f64 y (*.f64 z -4)))
(/.f64 1 (/.f64 (*.f64 y 1/4) z))
(/.f64 -4 (/.f64 y z))
(/.f64 (/.f64 z y) 1/4)
(/.f64 (neg.f64 z) (*.f64 y 1/4))
(/.f64 (*.f64 z -4) y)
(/.f64 (neg.f64 (*.f64 z -4)) (neg.f64 y))
(/.f64 (/.f64 z 1) (*.f64 y 1/4))
(/.f64 (/.f64 z 1/4) y)
(/.f64 (/.f64 z (*.f64 (sqrt.f64 y) 1/2)) (*.f64 (sqrt.f64 y) 1/2))
(/.f64 (*.f64 z 4) (neg.f64 y))
(/.f64 (*.f64 -4 (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 4 z) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) -4) (neg.f64 y))
(/.f64 (/.f64 (*.f64 z -4) 1) y)
(/.f64 (/.f64 (*.f64 z -4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z -4) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (cbrt.f64 (*.f64 y 1/4)))
(pow.f64 (*.f64 z (/.f64 4 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 4 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 4 y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 4 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (*.f64 y 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 4 y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 4 y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 4 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 4 y))) 1))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (*.f64 y 1/4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -4 (/.f64 z y) 2))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (fma.f64 z (/.f64 4 y) -2)) (/.f64 4 (fma.f64 z (/.f64 4 y) -2)))
(*.f64 1 (fma.f64 -4 (/.f64 z y) 2))
(*.f64 (fma.f64 -4 (/.f64 z y) 2) 1)
(*.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) (pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2) (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)))
(*.f64 (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)) (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 8) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (-.f64 4 (*.f64 (/.f64 z y) -8)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) -4) (/.f64 1 (fma.f64 z (/.f64 4 y) -2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (-.f64 4 (*.f64 (/.f64 z y) -8))) (+.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 8)))
(/.f64 1 (/.f64 (fma.f64 z (/.f64 4 y) -2) (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) -4)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 8) (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (-.f64 4 (*.f64 (/.f64 z y) -8))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 8) (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (*.f64 (/.f64 z y) -8))))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) -4) (fma.f64 z (/.f64 4 y) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 8)) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (-.f64 4 (*.f64 (/.f64 z y) -8)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) -4)) (neg.f64 (fma.f64 z (/.f64 4 y) -2)))
(/.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (-.f64 2 (*.f64 z (/.f64 4 y))))
(pow.f64 (fma.f64 -4 (/.f64 z y) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 2))
(log.f64 (exp.f64 (fma.f64 -4 (/.f64 z y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4 (/.f64 z y) 2))))
(cbrt.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -4 (/.f64 z y) 2)))
(log1p.f64 (expm1.f64 (fma.f64 -4 (/.f64 z y) 2)))
(exp.f64 (log.f64 (fma.f64 -4 (/.f64 z y) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -4 (/.f64 z y) 2)) 1))
(fma.f64 z (/.f64 4 y) 2)
(fma.f64 (/.f64 4 y) z 2)
(fma.f64 1 (*.f64 z (/.f64 4 y)) 2)
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 z y) -4 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 4 y))) 2) (cbrt.f64 (*.f64 z (/.f64 4 y))) 2)
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 4 y))) (sqrt.f64 (*.f64 z (/.f64 4 y))) 2)

simplify158.0ms (2.5%)

Algorithm
egg-herbie
Rules
1200×fma-neg
866×distribute-lft-neg-in
804×log-prod
510×exp-prod
434×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046913574
1112611942
2410911926
Stop Event
node limit
Counts
441 → 282
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
1
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
1
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
1
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 x (/.f64 4 y)) (neg.f64 (*.f64 z (/.f64 4 y))))
(-.f64 (*.f64 x (/.f64 4 y)) (*.f64 z (/.f64 4 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))) 1)
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 1)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 2) (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (/.f64 (cbrt.f64 (-.f64 x z)) (*.f64 y 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 4 y)))
(*.f64 (/.f64 2 (sqrt.f64 y)) (/.f64 (-.f64 x z) (*.f64 (sqrt.f64 y) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 1/2) (/.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 1/2))
(*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 y 1/4)))
(*.f64 (sqrt.f64 (-.f64 x z)) (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 4 y)))
(*.f64 (neg.f64 (-.f64 x z)) (/.f64 4 y))
(*.f64 (/.f64 1 y) (/.f64 (-.f64 x z) 1/4))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x z)) (*.f64 y 1/4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) 1) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 y 1/4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) y) (/.f64 (sqrt.f64 (-.f64 x z)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 y 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) y) (/.f64 (cbrt.f64 (-.f64 x z)) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) 1/4) (/.f64 (cbrt.f64 (-.f64 x z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 (sqrt.f64 y) 1/2)) (/.f64 (cbrt.f64 (-.f64 x z)) (*.f64 (sqrt.f64 y) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) 1/4) (/.f64 (sqrt.f64 (-.f64 x z)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (/.f64 (sqrt.f64 (-.f64 x z)) (cbrt.f64 (*.f64 y 1/4))))
(pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 3)
(pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 1/2) 2)
(pow.f64 (*.f64 y (/.f64 1/4 (-.f64 x z))) -1)
(neg.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 x z)) (/.f64 4 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))
(exp.f64 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 1))
(-.f64 (*.f64 x (/.f64 4 y)) (fma.f64 z (/.f64 4 y) -2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (fma.f64 (-.f64 x z) (/.f64 4 y) -2)) (/.f64 4 (fma.f64 (-.f64 x z) (/.f64 4 y) -2)))
(-.f64 (+.f64 2 (*.f64 x (/.f64 4 y))) (*.f64 z (/.f64 4 y)))
(*.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2) 1)
(*.f64 1 (fma.f64 (-.f64 x z) (/.f64 4 y) 2))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) 2) (cbrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) (sqrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 8) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (+.f64 4 (*.f64 (-.f64 x z) (*.f64 (/.f64 4 y) 2))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) -4) (/.f64 1 (fma.f64 (-.f64 x z) (/.f64 4 y) -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (+.f64 4 (*.f64 (-.f64 x z) (*.f64 (/.f64 4 y) 2)))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 8)))
(/.f64 1 (/.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) -2) (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) -4)))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 8) (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (+.f64 4 (*.f64 (-.f64 x z) (*.f64 (/.f64 4 y) 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 8) (+.f64 4 (-.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (*.f64 (-.f64 x z) (*.f64 (/.f64 4 y) 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) -4) (fma.f64 (-.f64 x z) (/.f64 4 y) -2))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/64) 8)) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) (+.f64 4 (*.f64 (-.f64 x z) (*.f64 (/.f64 4 y) 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) -4)) (neg.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) -2)))
(/.f64 (-.f64 4 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2)) (-.f64 2 (*.f64 (-.f64 x z) (/.f64 4 y))))
(pow.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(exp.f64 (log.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x z) (/.f64 4 y) 2)) 1))
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(fma.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 2) (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 2)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 1/2) (/.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 1/2) 2)
(-.f64 (fma.f64 x (/.f64 4 y) 1) 1)
(/.f64 x (*.f64 y 1/4))
(/.f64 1 (/.f64 y (*.f64 x 4)))
(/.f64 1 (/.f64 (*.f64 y 1/4) x))
(/.f64 (*.f64 x 4) y)
(/.f64 (neg.f64 x) (*.f64 y 1/4))
(/.f64 (neg.f64 (*.f64 x 4)) (neg.f64 y))
(/.f64 (/.f64 x y) 1/4)
(/.f64 (/.f64 x 1) (*.f64 y 1/4))
(/.f64 (/.f64 x 1/4) y)
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) 1/2)) (*.f64 (sqrt.f64 y) 1/2))
(/.f64 (*.f64 x -4) (neg.f64 y))
(/.f64 (*.f64 -4 x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x 4) 1) y)
(/.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (cbrt.f64 (*.f64 y 1/4)))
(pow.f64 (*.f64 x (/.f64 4 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 4 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 4 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 4 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 4 y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 4 y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 4 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 4 y))) 1))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 y 1/4))))
(-.f64 1 (*.f64 x (/.f64 4 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 4 y) 1))) 1)
(-.f64 (/.f64 1 (fma.f64 x (/.f64 4 y) 1)) (/.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (fma.f64 x (/.f64 4 y) 1)))
(*.f64 1 (fma.f64 x (/.f64 4 y) 1))
(*.f64 (fma.f64 x (/.f64 4 y) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 4 y) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 y) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 y) 1)) 2) (cbrt.f64 (fma.f64 x (/.f64 4 y) 1)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 4 y) 1)) (sqrt.f64 (fma.f64 x (/.f64 4 y) 1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (*.f64 x (/.f64 4 y))))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 2)) (/.f64 1 (fma.f64 x (/.f64 4 y) 1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (*.f64 x (/.f64 4 y)))) (+.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3))))
(/.f64 1 (/.f64 (fma.f64 x (/.f64 4 y) 1) (-.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 2))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (*.f64 x (/.f64 4 y)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (fma.f64 x (/.f64 4 y) 1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 2)) (fma.f64 x (/.f64 4 y) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (*.f64 x (/.f64 4 y))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 2))) (neg.f64 (fma.f64 x (/.f64 4 y) 1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (/.f64 4 y)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) (*.f64 x (/.f64 4 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2) 1) (-.f64 (*.f64 x (/.f64 4 y)) 1))
(pow.f64 (fma.f64 x (/.f64 4 y) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 y) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 4 y) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 4 y) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 4 y) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (/.f64 4 y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 4 y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 4 y) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 4 y) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 4 y) 1)))
(exp.f64 (log1p.f64 (*.f64 x (/.f64 4 y))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (/.f64 4 y))) 1))
(fma.f64 x (/.f64 4 y) 1)
(fma.f64 (/.f64 4 y) x 1)
(fma.f64 1 (*.f64 x (/.f64 4 y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 y))) 2) (cbrt.f64 (*.f64 x (/.f64 4 y))) 1)
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 4 y))) (sqrt.f64 (*.f64 x (/.f64 4 y))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 4 y)))) 1)
(/.f64 z (*.f64 y 1/4))
(/.f64 1 (/.f64 y (*.f64 z -4)))
(/.f64 1 (/.f64 (*.f64 y 1/4) z))
(/.f64 -4 (/.f64 y z))
(/.f64 (/.f64 z y) 1/4)
(/.f64 (neg.f64 z) (*.f64 y 1/4))
(/.f64 (*.f64 z -4) y)
(/.f64 (neg.f64 (*.f64 z -4)) (neg.f64 y))
(/.f64 (/.f64 z 1) (*.f64 y 1/4))
(/.f64 (/.f64 z 1/4) y)
(/.f64 (/.f64 z (*.f64 (sqrt.f64 y) 1/2)) (*.f64 (sqrt.f64 y) 1/2))
(/.f64 (*.f64 z 4) (neg.f64 y))
(/.f64 (*.f64 -4 (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 4 z) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) -4) (neg.f64 y))
(/.f64 (/.f64 (*.f64 z -4) 1) y)
(/.f64 (/.f64 (*.f64 z -4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z -4) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (cbrt.f64 (*.f64 y 1/4)))
(pow.f64 (*.f64 z (/.f64 4 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 4 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 4 y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 4 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (*.f64 y 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 4 y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 4 y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 4 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 4 y))) 1))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (*.f64 y 1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 4 y)))) 1)
(/.f64 z (*.f64 y 1/4))
(/.f64 1 (/.f64 y (*.f64 z -4)))
(/.f64 1 (/.f64 (*.f64 y 1/4) z))
(/.f64 -4 (/.f64 y z))
(/.f64 (/.f64 z y) 1/4)
(/.f64 (neg.f64 z) (*.f64 y 1/4))
(/.f64 (*.f64 z -4) y)
(/.f64 (neg.f64 (*.f64 z -4)) (neg.f64 y))
(/.f64 (/.f64 z 1) (*.f64 y 1/4))
(/.f64 (/.f64 z 1/4) y)
(/.f64 (/.f64 z (*.f64 (sqrt.f64 y) 1/2)) (*.f64 (sqrt.f64 y) 1/2))
(/.f64 (*.f64 z 4) (neg.f64 y))
(/.f64 (*.f64 -4 (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 4 z) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) -4) (neg.f64 y))
(/.f64 (/.f64 (*.f64 z -4) 1) y)
(/.f64 (/.f64 (*.f64 z -4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z -4) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (*.f64 y 1/4)) 2)) (cbrt.f64 (*.f64 y 1/4)))
(pow.f64 (*.f64 z (/.f64 4 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 4 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 4 y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 4 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (*.f64 y 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 4 y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 4 y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 4 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 4 y))) 1))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (*.f64 y 1/4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -4 (/.f64 z y) 2))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (fma.f64 z (/.f64 4 y) -2)) (/.f64 4 (fma.f64 z (/.f64 4 y) -2)))
(*.f64 1 (fma.f64 -4 (/.f64 z y) 2))
(*.f64 (fma.f64 -4 (/.f64 z y) 2) 1)
(*.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) (pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2) (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)))
(*.f64 (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)) (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 8) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (-.f64 4 (*.f64 (/.f64 z y) -8)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) -4) (/.f64 1 (fma.f64 z (/.f64 4 y) -2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (-.f64 4 (*.f64 (/.f64 z y) -8))) (+.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 8)))
(/.f64 1 (/.f64 (fma.f64 z (/.f64 4 y) -2) (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) -4)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 8) (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (-.f64 4 (*.f64 (/.f64 z y) -8))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 8) (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (*.f64 (/.f64 z y) -8))))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) -4) (fma.f64 z (/.f64 4 y) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 4 y)) 3) 8)) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (-.f64 4 (*.f64 (/.f64 z y) -8)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) -4)) (neg.f64 (fma.f64 z (/.f64 4 y) -2)))
(/.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (-.f64 2 (*.f64 z (/.f64 4 y))))
(pow.f64 (fma.f64 -4 (/.f64 z y) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 2))
(log.f64 (exp.f64 (fma.f64 -4 (/.f64 z y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4 (/.f64 z y) 2))))
(cbrt.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -4 (/.f64 z y) 2)))
(log1p.f64 (expm1.f64 (fma.f64 -4 (/.f64 z y) 2)))
(exp.f64 (log.f64 (fma.f64 -4 (/.f64 z y) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -4 (/.f64 z y) 2)) 1))
(fma.f64 z (/.f64 4 y) 2)
(fma.f64 (/.f64 4 y) z 2)
(fma.f64 1 (*.f64 z (/.f64 4 y)) 2)
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 z y) -4 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 4 y))) 2) (cbrt.f64 (*.f64 z (/.f64 4 y))) 2)
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 4 y))) (sqrt.f64 (*.f64 z (/.f64 4 y))) 2)
Outputs
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
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(/.f64 (*.f64 (+.f64 8 (pow.f64 (/.f64 (*.f64 z 4) y) 3)) 1) (fma.f64 (pow.f64 (/.f64 z y) 2) 16 (-.f64 4 (*.f64 (/.f64 z y) -8))))
(/.f64 (+.f64 8 (pow.f64 (*.f64 z (/.f64 4 y)) 3)) (+.f64 4 (fma.f64 (pow.f64 (/.f64 z y) 2) 16 (*.f64 (/.f64 z y) 8))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 z (*.f64 y 1/4)) 3)) (+.f64 (fma.f64 (pow.f64 (/.f64 z y) 2) 16 4) (*.f64 (/.f64 z y) 8)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) -4)) (neg.f64 (fma.f64 z (/.f64 4 y) -2)))
(*.f64 (fma.f64 (pow.f64 (/.f64 z y) 2) 16 -4) (/.f64 1 (fma.f64 z (/.f64 4 y) -2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 z y) 2) 16 -4) (fma.f64 z (/.f64 4 y) -2))
(/.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (-.f64 2 (*.f64 z (/.f64 4 y))))
(*.f64 (fma.f64 (pow.f64 (/.f64 z y) 2) 16 -4) (/.f64 1 (fma.f64 z (/.f64 4 y) -2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 z y) 2) 16 -4) (fma.f64 z (/.f64 4 y) -2))
(pow.f64 (fma.f64 -4 (/.f64 z y) 2) 1)
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 3)
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(pow.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 3) 1/3)
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(pow.f64 (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2)
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(sqrt.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 2))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(log.f64 (exp.f64 (fma.f64 -4 (/.f64 z y) 2)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4 (/.f64 z y) 2))))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(cbrt.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 3))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(expm1.f64 (log1p.f64 (fma.f64 -4 (/.f64 z y) 2)))
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 -4 y) 2)))
(log1p.f64 (expm1.f64 (fma.f64 -4 (/.f64 z y) 2)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(exp.f64 (log.f64 (fma.f64 -4 (/.f64 z y) 2)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(exp.f64 (*.f64 (log.f64 (fma.f64 -4 (/.f64 z y) 2)) 1))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(fma.f64 z (/.f64 4 y) 2)
(fma.f64 (/.f64 4 y) z 2)
(fma.f64 z (/.f64 4 y) 2)
(fma.f64 1 (*.f64 z (/.f64 4 y)) 2)
(fma.f64 z (/.f64 4 y) 2)
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(fma.f64 (/.f64 z y) -4 2)
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 z (/.f64 -4 y) 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 4 y))) 2) (cbrt.f64 (*.f64 z (/.f64 4 y))) 2)
(fma.f64 z (/.f64 4 y) 2)
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 4 y))) (sqrt.f64 (*.f64 z (/.f64 4 y))) 2)
(fma.f64 z (/.f64 4 y) 2)

eval182.0ms (2.9%)

Compiler

Compiled 3887 to 2537 computations (34.7% saved)

prune95.0ms (1.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New2802282
Fresh112
Picked055
Done011
Total2819290
Accuracy
100.0%
Counts
290 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.2%
(fma.f64 z (/.f64 -4 y) 2)
100.0%
(+.f64 (/.f64 (-.f64 x z) (*.f64 y 1/4)) 2)
61.5%
(+.f64 (/.f64 (*.f64 4 x) y) 2)
72.3%
(+.f64 (*.f64 (/.f64 z y) -4) 2)
99.8%
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
46.5%
(+.f64 1 (*.f64 z (/.f64 -4 y)))
36.7%
(+.f64 1 (*.f64 x (/.f64 4 y)))
31.8%
2
7.8%
1
Compiler

Compiled 81 to 65 computations (19.8% saved)

localize57.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.8%
(fma.f64 z (/.f64 -4 y) 2)
Compiler

Compiled 37 to 25 computations (32.4% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(fma.f64 z (/.f64 -4 y) 2)
1.0ms
z
@0
(fma.f64 z (/.f64 -4 y) 2)
1.0ms
z
@inf
(fma.f64 z (/.f64 -4 y) 2)
1.0ms
y
@inf
(fma.f64 z (/.f64 -4 y) 2)
1.0ms
y
@0
(fma.f64 z (/.f64 -4 y) 2)

rewrite70.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
642×unpow-prod-down
428×cbrt-prod
426×log-prod
411×log1p-expm1-u
411×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
19621
2113021
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(fma.f64 z (/.f64 -4 y) 2)
Outputs
(+.f64 2 (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 z (/.f64 -4 y)) 2)
(+.f64 (*.f64 z (/.f64 -4 y)) (log.f64 (exp.f64 2)))
(+.f64 0 (fma.f64 z (/.f64 -4 y) 2))
(+.f64 (*.f64 (*.f64 z (/.f64 -4 y)) 1) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))))
(-.f64 (+.f64 1 (fma.f64 z (/.f64 -4 y) 2)) 1)
(*.f64 (fma.f64 z (/.f64 -4 y) 2) 1)
(*.f64 (fma.f64 z (/.f64 -4 y) 2) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 z (/.f64 -4 y) 2))
(*.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)) (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)))
(*.f64 (pow.f64 1 1/3) (fma.f64 z (/.f64 -4 y) 2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 z (/.f64 -4 y) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 z (/.f64 -4 y) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 3) 8) (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2) (-.f64 4 (*.f64 (*.f64 z (/.f64 -4 y)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2) 4) (fma.f64 z (/.f64 -4 y) -2))
(pow.f64 (fma.f64 z (/.f64 -4 y) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 z (/.f64 -4 y) 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2)))) (sqrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2))))
(sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 2))
(log.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))
(cbrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 -4 y) 2)))
(log1p.f64 (expm1.f64 (fma.f64 z (/.f64 -4 y) 2)))
(exp.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (/.f64 -4 y) 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 2))

simplify85.0ms (1.3%)

Algorithm
egg-herbie
Rules
1240×fma-neg
724×log-prod
628×fma-define
586×exp-prod
456×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01222001
12681717
28261701
334891701
464011697
Stop Event
node limit
Counts
65 → 57
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 z (/.f64 -4 y)) 2)
(+.f64 (*.f64 z (/.f64 -4 y)) (log.f64 (exp.f64 2)))
(+.f64 0 (fma.f64 z (/.f64 -4 y) 2))
(+.f64 (*.f64 (*.f64 z (/.f64 -4 y)) 1) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))))
(-.f64 (+.f64 1 (fma.f64 z (/.f64 -4 y) 2)) 1)
(*.f64 (fma.f64 z (/.f64 -4 y) 2) 1)
(*.f64 (fma.f64 z (/.f64 -4 y) 2) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 z (/.f64 -4 y) 2))
(*.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)) (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)))
(*.f64 (pow.f64 1 1/3) (fma.f64 z (/.f64 -4 y) 2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 z (/.f64 -4 y) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 z (/.f64 -4 y) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 3) 8) (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2) (-.f64 4 (*.f64 (*.f64 z (/.f64 -4 y)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2) 4) (fma.f64 z (/.f64 -4 y) -2))
(pow.f64 (fma.f64 z (/.f64 -4 y) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 z (/.f64 -4 y) 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2)))) (sqrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2))))
(sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 2))
(log.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))
(cbrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 -4 y) 2)))
(log1p.f64 (expm1.f64 (fma.f64 z (/.f64 -4 y) 2)))
(exp.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (/.f64 -4 y) 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 2))
Outputs
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 z (/.f64 -4 y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 (*.f64 z (/.f64 -4 y)) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 (*.f64 z (/.f64 -4 y)) (log.f64 (exp.f64 2)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 0 (fma.f64 z (/.f64 -4 y) 2))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 (*.f64 (*.f64 z (/.f64 -4 y)) 1) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(-.f64 (+.f64 1 (fma.f64 z (/.f64 -4 y) 2)) 1)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 (fma.f64 z (/.f64 -4 y) 2) 1)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 (fma.f64 z (/.f64 -4 y) 2) (log.f64 (E.f64)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 1 (fma.f64 z (/.f64 -4 y) 2))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)) (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 (pow.f64 1 1/3) (fma.f64 z (/.f64 -4 y) 2))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 3))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3)) 1/3))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 z (/.f64 -4 y) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 z (/.f64 -4 y) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 1/6) (cbrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 5/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3))))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 z (/.f64 -4 y) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2))))
(*.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 1/6) (cbrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 5/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 3) 8) (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2) (-.f64 4 (*.f64 (*.f64 z (/.f64 -4 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 3) 8) (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2) (-.f64 4 (*.f64 2 (*.f64 z (/.f64 -4 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 3) 8) (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2) (-.f64 4 (*.f64 z (/.f64 -8 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 3) 8) (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2) (fma.f64 z (/.f64 8 y) 4)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2) 4) (fma.f64 z (/.f64 -4 y) -2))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2) -4) (fma.f64 z (/.f64 -4 y) -2))
(/.f64 (+.f64 -4 (pow.f64 (*.f64 z (/.f64 -4 y)) 2)) (fma.f64 z (/.f64 -4 y) -2))
(pow.f64 (fma.f64 z (/.f64 -4 y) 2) 1)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 3)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(pow.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 2) 1/2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(pow.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3) 1/3)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(pow.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 z (/.f64 -4 y) 2)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2)))) (sqrt.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2))))
(sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 2))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(log.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(cbrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 -4 y) 2)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(log1p.f64 (expm1.f64 (fma.f64 z (/.f64 -4 y) 2)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(exp.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 3))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (/.f64 -4 y) 2))) 1/3))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2))) 2))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 z (/.f64 -4 y) 2)

eval52.0ms (0.8%)

Compiler

Compiled 785 to 609 computations (22.4% saved)

prune11.0ms (0.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New55257
Fresh000
Picked033
Done156
Total561066
Accuracy
100.0%
Counts
66 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.2%
(fma.f64 z (/.f64 -4 y) 2)
100.0%
(+.f64 (/.f64 (-.f64 x z) (*.f64 y 1/4)) 2)
61.5%
(+.f64 (/.f64 (*.f64 4 x) y) 2)
72.3%
(+.f64 (*.f64 (/.f64 z y) -4) 2)
99.8%
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
36.7%
(+.f64 1 (*.f64 x (/.f64 4 y)))
41.7%
(*.f64 z (/.f64 -4 y))
41.8%
(*.f64 -4 (/.f64 z y))
31.8%
2
7.8%
1
Compiler

Compiled 87 to 69 computations (20.7% saved)

localize39.0ms (0.6%)

Localize:

Found 2 expressions with local error:

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

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

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

rewrite71.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
902×unpow-prod-down
518×cbrt-prod
518×log-prod
457×log1p-expm1-u
457×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
19419
2122719
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 z y))
Outputs
(+.f64 0 (*.f64 -4 (/.f64 z y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))))
(-.f64 (+.f64 1 (*.f64 -4 (/.f64 z y))) 1)
(/.f64 -4 (/.f64 y z))
(/.f64 1 (/.f64 y (*.f64 -4 z)))
(/.f64 (*.f64 -4 z) y)
(/.f64 (neg.f64 (*.f64 -4 z)) (neg.f64 y))
(/.f64 (*.f64 -4 (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) -4) (neg.f64 y))
(/.f64 (/.f64 (*.f64 -4 z) 1) y)
(/.f64 (/.f64 (*.f64 -4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 -4 (/.f64 z y)) 1)
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) 1/2)
(pow.f64 (*.f64 (pow.f64 (/.f64 z y) 3) -64) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 -4 (/.f64 z y))))
(pow.f64 (/.f64 y (*.f64 -4 z)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -4 (/.f64 z y)))) 2)) (cbrt.f64 (log.f64 (*.f64 -4 (/.f64 z y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -4 (/.f64 z y))))) (sqrt.f64 (log.f64 (*.f64 -4 (/.f64 z y)))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))
(log.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) -64))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -4 (/.f64 z y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y)))) 2))

simplify47.0ms (0.7%)

Algorithm
egg-herbie
Rules
862×fma-neg
686×log-prod
612×fma-define
576×distribute-rgt-in
574×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095757
1234721
2568721
32155721
Stop Event
node limit
Counts
31 → 41
Calls
Call 1
Inputs
(+.f64 0 (*.f64 -4 (/.f64 z y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))))
(-.f64 (+.f64 1 (*.f64 -4 (/.f64 z y))) 1)
(/.f64 -4 (/.f64 y z))
(/.f64 1 (/.f64 y (*.f64 -4 z)))
(/.f64 (*.f64 -4 z) y)
(/.f64 (neg.f64 (*.f64 -4 z)) (neg.f64 y))
(/.f64 (*.f64 -4 (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) -4) (neg.f64 y))
(/.f64 (/.f64 (*.f64 -4 z) 1) y)
(/.f64 (/.f64 (*.f64 -4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 -4 (/.f64 z y)) 1)
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) 1/2)
(pow.f64 (*.f64 (pow.f64 (/.f64 z y) 3) -64) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 -4 (/.f64 z y))))
(pow.f64 (/.f64 y (*.f64 -4 z)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -4 (/.f64 z y)))) 2)) (cbrt.f64 (log.f64 (*.f64 -4 (/.f64 z y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -4 (/.f64 z y))))) (sqrt.f64 (log.f64 (*.f64 -4 (/.f64 z y)))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))
(log.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) -64))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -4 (/.f64 z y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y)))) 2))
Outputs
(+.f64 0 (*.f64 -4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -4 (/.f64 y z))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(-.f64 (+.f64 1 (*.f64 -4 (/.f64 z y))) 1)
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(/.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 y -1/4))
(/.f64 1 (/.f64 y (*.f64 -4 z)))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(/.f64 (neg.f64 (*.f64 -4 z)) (neg.f64 y))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(/.f64 (*.f64 -4 (neg.f64 z)) (neg.f64 y))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(/.f64 (*.f64 (neg.f64 z) -4) (neg.f64 y))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(/.f64 (/.f64 (*.f64 -4 z) 1) y)
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(/.f64 (/.f64 (*.f64 -4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(/.f64 (/.f64 (*.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(pow.f64 (*.f64 -4 (/.f64 z y)) 1)
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y))) 3)
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(pow.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 y -1/4)) 2))
(pow.f64 (*.f64 (pow.f64 (/.f64 z y) 3) -64) 1/3)
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y))) 2)
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(pow.f64 (E.f64) (log.f64 (*.f64 -4 (/.f64 z y))))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(pow.f64 (/.f64 y (*.f64 -4 z)) -1)
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -4 (/.f64 z y)))) 2)) (cbrt.f64 (log.f64 (*.f64 -4 (/.f64 z y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -4 (/.f64 y z)))) 2)) (cbrt.f64 (log.f64 (/.f64 -4 (/.f64 y z)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z (*.f64 y -1/4)))) 2)) (cbrt.f64 (log.f64 (/.f64 z (*.f64 y -1/4)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -4 (/.f64 z y))))) (sqrt.f64 (log.f64 (*.f64 -4 (/.f64 z y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -4 (/.f64 y z))))) (sqrt.f64 (log.f64 (/.f64 -4 (/.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 z (*.f64 y -1/4))))) (sqrt.f64 (log.f64 (/.f64 z (*.f64 y -1/4)))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 y -1/4)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 z y)) -4))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) -64))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 z y))))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 z y))))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 z y))))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y)))) 3))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -4 (/.f64 z y)))) 1/3))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y)))) 2))
(*.f64 -4 (/.f64 z y))
(/.f64 -4 (/.f64 y z))
(/.f64 z (*.f64 y -1/4))

eval26.0ms (0.4%)

Compiler

Compiled 681 to 441 computations (35.2% saved)

prune18.0ms (0.3%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New75277
Fresh000
Picked022
Done088
Total751287
Accuracy
100.0%
Counts
87 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.2%
(fma.f64 z (/.f64 -4 y) 2)
3.0%
(/.f64 (/.f64 z y) 1/4)
41.6%
(/.f64 -4 (/.f64 y z))
100.0%
(+.f64 (/.f64 (-.f64 x z) (*.f64 y 1/4)) 2)
61.5%
(+.f64 (/.f64 (*.f64 4 x) y) 2)
72.3%
(+.f64 (*.f64 (/.f64 z y) -4) 2)
99.8%
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
36.7%
(+.f64 1 (*.f64 x (/.f64 4 y)))
41.7%
(*.f64 z (/.f64 -4 y))
41.8%
(*.f64 -4 (/.f64 z y))
31.8%
2
7.8%
1
Compiler

Compiled 201 to 144 computations (28.4% saved)

regimes148.0ms (2.3%)

Counts
15 → 1
Calls
Call 1
Inputs
1
2
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(/.f64 -4 (/.f64 y z))
(/.f64 (/.f64 z y) 1/4)
(+.f64 1 (*.f64 x (/.f64 4 y)))
(+.f64 1 (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 (/.f64 z y) -4) 2)
(+.f64 (/.f64 (*.f64 4 x) y) 2)
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(+.f64 (/.f64 (-.f64 x z) (*.f64 y 1/4)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(fma.f64 z (/.f64 -4 y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
Outputs
(+.f64 (/.f64 (-.f64 x z) (*.f64 y 1/4)) 2)
Calls

5 calls:

116.0ms
y
10.0ms
z
8.0ms
x
7.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
6.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
100.0%1(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes75.0ms (1.2%)

Counts
11 → 1
Calls
Call 1
Inputs
1
2
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(/.f64 -4 (/.f64 y z))
(/.f64 (/.f64 z y) 1/4)
(+.f64 1 (*.f64 x (/.f64 4 y)))
(+.f64 1 (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 (/.f64 z y) -4) 2)
(+.f64 (/.f64 (*.f64 4 x) y) 2)
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
Outputs
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
Calls

3 calls:

60.0ms
x
8.0ms
z
6.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes150.0ms (2.4%)

Counts
10 → 3
Calls
Call 1
Inputs
1
2
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(/.f64 -4 (/.f64 y z))
(/.f64 (/.f64 z y) 1/4)
(+.f64 1 (*.f64 x (/.f64 4 y)))
(+.f64 1 (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 (/.f64 z y) -4) 2)
(+.f64 (/.f64 (*.f64 4 x) y) 2)
Outputs
(+.f64 (*.f64 (/.f64 z y) -4) 2)
(+.f64 (/.f64 (*.f64 4 x) y) 2)
(+.f64 (*.f64 (/.f64 z y) -4) 2)
Calls

3 calls:

61.0ms
z
57.0ms
y
31.0ms
x
Results
AccuracySegmentsBranch
90.1%5x
75.9%5y
87.9%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes46.0ms (0.7%)

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

2 calls:

28.0ms
z
17.0ms
x
Results
AccuracySegmentsBranch
85.5%3x
78.8%5z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes101.0ms (1.6%)

Counts
8 → 6
Calls
Call 1
Inputs
1
2
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(/.f64 -4 (/.f64 y z))
(/.f64 (/.f64 z y) 1/4)
(+.f64 1 (*.f64 x (/.f64 4 y)))
(+.f64 1 (*.f64 z (/.f64 -4 y)))
Outputs
(+.f64 1 (*.f64 x (/.f64 4 y)))
(+.f64 1 (*.f64 z (/.f64 -4 y)))
2
(+.f64 1 (*.f64 z (/.f64 -4 y)))
2
(+.f64 1 (*.f64 x (/.f64 4 y)))
Calls

3 calls:

45.0ms
x
31.0ms
z
24.0ms
y
Results
AccuracySegmentsBranch
61.6%5y
65.8%6z
66.2%6x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes145.0ms (2.3%)

Counts
7 → 6
Calls
Call 1
Inputs
1
2
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(/.f64 -4 (/.f64 y z))
(/.f64 (/.f64 z y) 1/4)
(+.f64 1 (*.f64 x (/.f64 4 y)))
Outputs
(+.f64 1 (*.f64 x (/.f64 4 y)))
(*.f64 -4 (/.f64 z y))
2
(*.f64 -4 (/.f64 z y))
2
(+.f64 1 (*.f64 x (/.f64 4 y)))
Calls

2 calls:

107.0ms
x
37.0ms
z
Results
AccuracySegmentsBranch
66.3%8z
63.9%6x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes187.0ms (2.9%)

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

3 calls:

54.0ms
x
20.0ms
y
20.0ms
z
Results
AccuracySegmentsBranch
60.7%5z
60.5%5y
44.5%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

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

3 calls:

3.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
31.8%1x
31.8%1y
31.8%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
1
Outputs
1
Calls

3 calls:

4.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
7.8%1y
7.8%1x
7.8%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch35.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.167009004931149e-112
1.1325329059303056e-111
22.0ms
-5.986566348924803
-2.2644688794234332e-7
Results
26.0ms195×256valid
3.0ms29×256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
Compiler

Compiled 352 to 287 computations (18.5% saved)

bsearch66.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.366982771001521e+99
2.58250342123796e+114
44.0ms
-4.862491857119145e+196
-8.340440993569499e+185
Results
49.0ms219×256valid
10.0ms85×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 462 to 377 computations (18.4% saved)

bsearch79.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.958223817665833e+41
5.5173877386245846e+41
19.0ms
6.075505755289646e-73
5.724603459643502e-65
16.0ms
-7.472879233442554e-104
-4.485453522044166e-105
20.0ms
-1.206909952138796e-64
-5.859501132725433e-71
14.0ms
-0.0014912532317302547
-0.00014452180530324352
Results
61.0ms482×256valid
7.0ms62×256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
Compiler

Compiled 618 to 531 computations (14.1% saved)

bsearch110.0ms (1.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.958223817665833e+41
5.5173877386245846e+41
57.0ms
6.075505755289646e-73
5.724603459643502e-65
17.0ms
-4.9210630530775165e-109
-7.059951449299202e-113
14.0ms
-2.341346146266997e-32
-2.540905189128603e-33
12.0ms
-0.0014912532317302547
-0.00014452180530324352
Results
95.0ms456×256valid
7.0ms56×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 528 to 445 computations (15.7% saved)

bsearch91.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
111065436895469380.0
3.0506984752734525e+24
19.0ms
-2.1001367824150343e-31
-1.576279541312902e-37
30.0ms
-3.565530708284362e+58
-3.0855895638959385e+56
19.0ms
-8.849116383056303e+89
-4.819244775148181e+83
Results
59.0ms454×256valid
9.0ms74×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 498 to 425 computations (14.7% saved)

simplify23.0ms (0.4%)

Algorithm
egg-herbie
Rules
16×+-commutative
14×*-commutative
10×if-if-or-not
not-or
if-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090639
1122639
2129633
3137629
4142629
5146629
6147629
7148629
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 x z) (*.f64 y 1/4)) 2)
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(if (<=.f64 z -4796153459164483/36893488147419103232) (+.f64 (*.f64 (/.f64 z y) -4) 2) (if (<=.f64 z 6065214955889283/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (+.f64 (/.f64 (*.f64 4 x) y) 2) (+.f64 (*.f64 (/.f64 z y) -4) 2)))
(if (<=.f64 x -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040) (+.f64 1 (*.f64 x (/.f64 4 y))) (if (<=.f64 x 29000000000000002028933179560338789422819459337275661842041308287257743205676734234932732353869663497617408) (+.f64 (*.f64 (/.f64 z y) -4) 2) (+.f64 1 (*.f64 x (/.f64 4 y)))))
(if (<=.f64 x -4150517416584649/9223372036854775808) (+.f64 1 (*.f64 x (/.f64 4 y))) (if (<=.f64 x -8043863381872159/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 1 (*.f64 z (/.f64 -4 y))) (if (<=.f64 x -6972074670834653/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) 2 (if (<=.f64 x 407588154115353/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (+.f64 1 (*.f64 z (/.f64 -4 y))) (if (<=.f64 x 360000000000000025443406858747682104541184) 2 (+.f64 1 (*.f64 x (/.f64 4 y))))))))
(if (<=.f64 x -1936908127739503/4611686018427387904) (+.f64 1 (*.f64 x (/.f64 4 y))) (if (<=.f64 x -8476709496519237/1461501637330902918203684832716283019655932542976) (*.f64 -4 (/.f64 z y)) (if (<=.f64 x -4315373364262743/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) 2 (if (<=.f64 x 8236916103037091/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (*.f64 -4 (/.f64 z y)) (if (<=.f64 x 400000000000000002480034580163113277980672) 2 (+.f64 1 (*.f64 x (/.f64 4 y))))))))
(if (<=.f64 z -489999999999999978699336982519612162006953132160950987685694775510355678437650202624) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z -2299999999999999884705448443196774551093169438963261243392) 2 (if (<=.f64 z -2484552783462535/730750818665451459101842416358141509827966271488) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z 300000000000000000) 2 (*.f64 -4 (/.f64 z y))))))
2
1
Outputs
(+.f64 (/.f64 (-.f64 x z) (*.f64 y 1/4)) 2)
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(+.f64 2 (*.f64 (-.f64 x z) (/.f64 4 y)))
(if (<=.f64 z -4796153459164483/36893488147419103232) (+.f64 (*.f64 (/.f64 z y) -4) 2) (if (<=.f64 z 6065214955889283/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (+.f64 (/.f64 (*.f64 4 x) y) 2) (+.f64 (*.f64 (/.f64 z y) -4) 2)))
(if (or (<=.f64 z -4796153459164483/36893488147419103232) (not (<=.f64 z 6065214955889283/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152))) (+.f64 2 (*.f64 (/.f64 z y) -4)) (+.f64 2 (/.f64 (*.f64 x 4) y)))
(if (<=.f64 x -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040) (+.f64 1 (*.f64 x (/.f64 4 y))) (if (<=.f64 x 29000000000000002028933179560338789422819459337275661842041308287257743205676734234932732353869663497617408) (+.f64 (*.f64 (/.f64 z y) -4) 2) (+.f64 1 (*.f64 x (/.f64 4 y)))))
(if (or (<=.f64 x -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040) (not (<=.f64 x 29000000000000002028933179560338789422819459337275661842041308287257743205676734234932732353869663497617408))) (+.f64 1 (*.f64 x (/.f64 4 y))) (+.f64 2 (*.f64 (/.f64 z y) -4)))
(if (<=.f64 x -4150517416584649/9223372036854775808) (+.f64 1 (*.f64 x (/.f64 4 y))) (if (<=.f64 x -8043863381872159/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 1 (*.f64 z (/.f64 -4 y))) (if (<=.f64 x -6972074670834653/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) 2 (if (<=.f64 x 407588154115353/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (+.f64 1 (*.f64 z (/.f64 -4 y))) (if (<=.f64 x 360000000000000025443406858747682104541184) 2 (+.f64 1 (*.f64 x (/.f64 4 y))))))))
(if (<=.f64 x -1936908127739503/4611686018427387904) (+.f64 1 (*.f64 x (/.f64 4 y))) (if (<=.f64 x -8476709496519237/1461501637330902918203684832716283019655932542976) (*.f64 -4 (/.f64 z y)) (if (<=.f64 x -4315373364262743/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) 2 (if (<=.f64 x 8236916103037091/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (*.f64 -4 (/.f64 z y)) (if (<=.f64 x 400000000000000002480034580163113277980672) 2 (+.f64 1 (*.f64 x (/.f64 4 y))))))))
(if (<=.f64 x -1936908127739503/4611686018427387904) (+.f64 1 (*.f64 x (/.f64 4 y))) (if (<=.f64 x -8476709496519237/1461501637330902918203684832716283019655932542976) (*.f64 (/.f64 z y) -4) (if (<=.f64 x -4315373364262743/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) 2 (if (<=.f64 x 8236916103037091/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (*.f64 (/.f64 z y) -4) (if (<=.f64 x 400000000000000002480034580163113277980672) 2 (+.f64 1 (*.f64 x (/.f64 4 y))))))))
(if (<=.f64 z -489999999999999978699336982519612162006953132160950987685694775510355678437650202624) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z -2299999999999999884705448443196774551093169438963261243392) 2 (if (<=.f64 z -2484552783462535/730750818665451459101842416358141509827966271488) (*.f64 -4 (/.f64 z y)) (if (<=.f64 z 300000000000000000) 2 (*.f64 -4 (/.f64 z y))))))
(if (<=.f64 z -489999999999999978699336982519612162006953132160950987685694775510355678437650202624) (*.f64 (/.f64 z y) -4) (if (<=.f64 z -2299999999999999884705448443196774551093169438963261243392) 2 (if (or (<=.f64 z -2484552783462535/730750818665451459101842416358141509827966271488) (not (<=.f64 z 300000000000000000))) (*.f64 (/.f64 z y) -4) 2)))
(if (or (<=.f64 z -489999999999999978699336982519612162006953132160950987685694775510355678437650202624) (not (or (<=.f64 z -2299999999999999884705448443196774551093169438963261243392) (not (or (<=.f64 z -2484552783462535/730750818665451459101842416358141509827966271488) (not (<=.f64 z 300000000000000000))))))) (*.f64 (/.f64 z y) -4) 2)
(if (or (<=.f64 z -489999999999999978699336982519612162006953132160950987685694775510355678437650202624) (not (or (<=.f64 z -2299999999999999884705448443196774551093169438963261243392) (and (not (<=.f64 z -2484552783462535/730750818665451459101842416358141509827966271488)) (<=.f64 z 300000000000000000))))) (*.f64 (/.f64 z y) -4) 2)
(if (or (<=.f64 z -489999999999999978699336982519612162006953132160950987685694775510355678437650202624) (and (not (<=.f64 z -2299999999999999884705448443196774551093169438963261243392)) (or (<=.f64 z -2484552783462535/730750818665451459101842416358141509827966271488) (not (<=.f64 z 300000000000000000))))) (*.f64 (/.f64 z y) -4) 2)
2
1
Compiler

Compiled 213 to 162 computations (23.9% saved)

soundness1.2s (18.4%)

Rules
1398×div-sub
1282×log1p-expm1-u
1200×fma-neg
896×fma-neg
896×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057591
1144491
2439459
31309451
43926388
023150
1345138
25355138
038313080
1103112780
2365511668
046913574
1112611942
2410911926
038313080
1103112780
2365511668
038313080
1103112780
2365511668
038313080
1103112780
2365511668
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 494 to 337 computations (31.8% saved)

end1.0ms (0%)

preprocess162.0ms (2.5%)

Compiler

Compiled 410 to 292 computations (28.8% saved)

Profiling

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