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

Time bar (total: 2.1s)

analyze34.0ms (1.6%)

Algorithm
1×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)

sample1.2s (56.5%)

Results
1.0s6571×body256valid
190.0ms1685×body256infinite
Bogosity

preprocess123.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
1688×div-sub
972×fma-neg
970×fma-def
696×unsub-neg
680×sub-neg
Problems
256×No Errors
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057591
1139515
2398471
31301455
44593381
Stop Event
1×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 y (-.f64 (+.f64 x (*.f64 y 1/4)) z))))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 1/4)) z))))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(+.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))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (-.f64 (*.f64 y 1/4) x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (*.f64 y 1/4) (+.f64 x z)) 1)
(-.f64 1 (*.f64 (/.f64 4 y) (+.f64 z (fma.f64 y -1/4 x))))
(-.f64 2 (*.f64 (/.f64 4 y) (+.f64 x z)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 (neg.f64 y) 1/4)) z)) (neg.f64 y)))
(+.f64 1 (/.f64 4 (/.f64 (neg.f64 y) (+.f64 x (-.f64 (*.f64 1/4 (neg.f64 y)) z)))))
(+.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)
(fma.f64 (-.f64 x (fma.f64 y 1/4 z)) (/.f64 -4 y) 1)
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 z x)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) (neg.f64 z))) y))
(+.f64 1 (/.f64 4 (/.f64 y (+.f64 x (-.f64 (*.f64 y 1/4) (neg.f64 z))))))
(+.f64 1 (*.f64 (/.f64 4 y) (+.f64 x (fma.f64 y 1/4 z))))
(fma.f64 (/.f64 4 y) (+.f64 x (fma.f64 y 1/4 z)) 1)
(fma.f64 (+.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 2 (*.f64 (/.f64 4 y) (+.f64 x z)))
(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 (neg.f64 x) (-.f64 (*.f64 y 1/4) z))) y)))
(-.f64 -1 (*.f64 (/.f64 4 y) (-.f64 (-.f64 (*.f64 y 1/4) x) z)))
(-.f64 -1 (*.f64 (-.f64 (*.f64 y 1/4) (+.f64 x z)) (/.f64 4 y)))
(fma.f64 (/.f64 4 y) (+.f64 z (fma.f64 y -1/4 x)) -1)
(+.f64 -2 (*.f64 (/.f64 4 y) (+.f64 x z)))
(neg.f64 (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 (neg.f64 y) 1/4)) z)) (neg.f64 y))))
(+.f64 -1 (neg.f64 (/.f64 4 (/.f64 (neg.f64 y) (+.f64 x (-.f64 (*.f64 1/4 (neg.f64 y)) z))))))
(-.f64 -1 (*.f64 -4 (/.f64 (+.f64 x (-.f64 (*.f64 y -1/4) z)) y)))
(+.f64 -1 (*.f64 4 (/.f64 (-.f64 (fma.f64 y -1/4 x) z) y)))
(fma.f64 (/.f64 4 y) (-.f64 x (fma.f64 y 1/4 z)) -1)
(+.f64 -2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(neg.f64 (+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) (neg.f64 z))) y)))
(+.f64 -1 (neg.f64 (/.f64 4 (/.f64 y (+.f64 x (-.f64 (*.f64 y 1/4) (neg.f64 z)))))))
(-.f64 -1 (*.f64 (/.f64 4 y) (+.f64 x (fma.f64 y 1/4 z))))
(-.f64 -1 (*.f64 (+.f64 x (fma.f64 y 1/4 z)) (/.f64 4 y)))
(fma.f64 (/.f64 -4 y) (+.f64 (fma.f64 y 1/4 x) z) -1)
(-.f64 -2 (*.f64 (/.f64 4 y) (+.f64 x z)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x))
(+.f64 1 (*.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z)))
(fma.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z) 1)
(fma.f64 (-.f64 (fma.f64 x 1/4 y) z) (/.f64 4 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 (neg.f64 y) (+.f64 x (-.f64 (*.f64 1/4 (neg.f64 y)) z)))))
(+.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)
(fma.f64 (-.f64 x (fma.f64 y 1/4 z)) (/.f64 -4 y) 1)
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 z x)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 1/4 z)) y)) z))
(+.f64 1 (*.f64 (/.f64 4 z) (-.f64 (fma.f64 1/4 z x) y)))
(fma.f64 (/.f64 4 z) (-.f64 (fma.f64 1/4 z x) y) 1)
(+.f64 1 (/.f64 (fma.f64 y -4 (fma.f64 4 x z)) z))
(+.f64 2 (*.f64 (-.f64 x y) (/.f64 4 z)))
Compiler

Compiled 74 to 50 computations (32.4% saved)

eval1.0ms (0.1%)

Compiler

Compiled 59 to 40 computations (32.2% saved)

prune2.0ms (0.1%)

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

Compiled 56 to 42 computations (25% saved)

localize77.0ms (3.6%)

Localize:

Found 1 expressions with local error:

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

Compiled 85 to 51 computations (40% saved)

series20.0ms (0.9%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
15.0ms
z
@-inf
(*.f64 (/.f64 4 y) (-.f64 x z))
1.0ms
z
@inf
(*.f64 (/.f64 4 y) (-.f64 x z))
1.0ms
x
@0
(*.f64 (/.f64 4 y) (-.f64 x z))
1.0ms
y
@0
(*.f64 (/.f64 4 y) (-.f64 x z))
1.0ms
y
@inf
(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite120.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
771×log1p-expm1-u
771×expm1-log1p-u
732×log-prod
718×prod-diff
568×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
114728
2201928
Stop Event
1×node limit
Counts
1 → 52
Calls
Call 1
Inputs
(*.f64 (/.f64 4 y) (-.f64 x z))
Outputs
(+.f64 0 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 1)
(/.f64 4 (/.f64 y (-.f64 x z)))
(/.f64 (-.f64 x z) (*.f64 y 1/4))
(/.f64 1 (/.f64 y (*.f64 4 (-.f64 x z))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(/.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 z (+.f64 x z) (pow.f64 x 2))))
(/.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 z (+.f64 x z) (pow.f64 x 2))))
(/.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 z (+.f64 x z) (pow.f64 x 2)) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 1) (*.f64 (fma.f64 z (+.f64 x z) (pow.f64 x 2)) (*.f64 y 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) -4) (*.f64 (fma.f64 z (+.f64 x z) (pow.f64 x 2)) (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 z (+.f64 x z) (pow.f64 x 2)))
(/.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 z (+.f64 x z) (pow.f64 x 2)))
(/.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 4 (/.f64 (-.f64 x z) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 2)
(pow.f64 (/.f64 y (*.f64 4 (-.f64 x z))) -1)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))
(fma.f64 (/.f64 4 y) x (*.f64 (/.f64 4 y) (neg.f64 z)))
(fma.f64 x (/.f64 4 y) (*.f64 (neg.f64 z) (/.f64 4 y)))

simplify47.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1624×times-frac
1026×associate-/l*
992×associate-*r/
898×associate-/r*
812×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01603148
14243113
215363068
Stop Event
1×node limit
Counts
88 → 66
Calls
Call 1
Inputs
(*.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 -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 0 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 1)
(/.f64 4 (/.f64 y (-.f64 x z)))
(/.f64 (-.f64 x z) (*.f64 y 1/4))
(/.f64 1 (/.f64 y (*.f64 4 (-.f64 x z))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(/.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 z (+.f64 x z) (pow.f64 x 2))))
(/.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 z (+.f64 x z) (pow.f64 x 2))))
(/.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 z (+.f64 x z) (pow.f64 x 2)) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 1) (*.f64 (fma.f64 z (+.f64 x z) (pow.f64 x 2)) (*.f64 y 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) -4) (*.f64 (fma.f64 z (+.f64 x z) (pow.f64 x 2)) (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 z (+.f64 x z) (pow.f64 x 2)))
(/.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 z (+.f64 x z) (pow.f64 x 2)))
(/.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 4 (/.f64 (-.f64 x z) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 2)
(pow.f64 (/.f64 y (*.f64 4 (-.f64 x z))) -1)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))
(fma.f64 (/.f64 4 y) x (*.f64 (/.f64 4 y) (neg.f64 z)))
(fma.f64 x (/.f64 4 y) (*.f64 (neg.f64 z) (/.f64 4 y)))
Outputs
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 0 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 (/.f64 4 y) x) (*.f64 (/.f64 4 y) (neg.f64 z)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (*.f64 x (/.f64 4 y)) (*.f64 (neg.f64 z) (/.f64 4 y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 1)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(/.f64 4 (/.f64 y (-.f64 x z)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(/.f64 (-.f64 x z) (*.f64 y 1/4))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(/.f64 1 (/.f64 y (*.f64 4 (-.f64 x z))))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 4 y) (fma.f64 z (+.f64 x z) (pow.f64 x 2))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 (+.f64 x z) (/.f64 4 y)))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (+.f64 x z)))
(/.f64 (*.f64 4 (-.f64 x z)) y)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 y (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 4 y) (fma.f64 z (+.f64 x z) (pow.f64 x 2))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (*.f64 4 (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 (+.f64 x z) (/.f64 4 y)))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (+.f64 x z)))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 (neg.f64 y) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 4 y) (fma.f64 z (+.f64 x z) (pow.f64 x 2))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 (neg.f64 y) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 (+.f64 x z) (/.f64 4 y)))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (+.f64 x z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 4) (*.f64 (fma.f64 z (+.f64 x z) (pow.f64 x 2)) y))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 4 y) (fma.f64 z (+.f64 x z) (pow.f64 x 2))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 1) (*.f64 (fma.f64 z (+.f64 x z) (pow.f64 x 2)) (*.f64 y 1/4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 4 y) (fma.f64 z (+.f64 x z) (pow.f64 x 2))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) -4) (*.f64 (fma.f64 z (+.f64 x z) (pow.f64 x 2)) (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 4 y) (fma.f64 z (+.f64 x z) (pow.f64 x 2))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) 4) (*.f64 (+.f64 x z) y))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 (+.f64 x z) (/.f64 4 y)))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (+.f64 x z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) 1) (*.f64 (+.f64 x z) (*.f64 y 1/4)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 (+.f64 x z) (/.f64 4 y)))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (+.f64 x z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) -4) (*.f64 (+.f64 x z) (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 (+.f64 x z) (/.f64 4 y)))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (+.f64 x z)))
(/.f64 (neg.f64 (*.f64 4 (-.f64 x z))) (neg.f64 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(/.f64 (*.f64 (/.f64 4 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 z (+.f64 x z) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 4 y) (fma.f64 z (+.f64 x z) (pow.f64 x 2))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (*.f64 (/.f64 4 y) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (+.f64 x z))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 (+.f64 x z) (/.f64 4 y)))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (+.f64 x z)))
(/.f64 (*.f64 (-.f64 x z) -4) (neg.f64 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(/.f64 (*.f64 -4 (-.f64 x z)) (neg.f64 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 4 y)) (fma.f64 z (+.f64 x z) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 x z) (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 4 y) (fma.f64 z (+.f64 x z) (pow.f64 x 2))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 4 y)) (+.f64 x z))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 (+.f64 x z) (/.f64 4 y)))
(*.f64 (/.f64 4 y) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) (+.f64 x z)))
(/.f64 (/.f64 (*.f64 4 (-.f64 x z)) 1) y)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(/.f64 (/.f64 (*.f64 4 (-.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(/.f64 (/.f64 (*.f64 4 (-.f64 x z)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 1)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 3)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2) 1/2)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3) 1/3)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 2)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(pow.f64 (/.f64 y (*.f64 4 (-.f64 x z))) -1)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 1))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 1) 1))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 3))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3)) 1/3))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 2))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(fma.f64 (/.f64 4 y) x (*.f64 (/.f64 4 y) (neg.f64 z)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))
(fma.f64 x (/.f64 4 y) (*.f64 (neg.f64 z) (/.f64 4 y)))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 4 y))

eval29.0ms (1.4%)

Compiler

Compiled 974 to 611 computations (37.3% saved)

prune11.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New64266
Fresh000
Picked112
Done000
Total65368
Accuracy
100.0%
Counts
68 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
▶68.3%
(+.f64 2 (*.f64 4 (/.f64 x y)))
▶65.4%
(+.f64 2 (*.f64 -4 (/.f64 z y)))
✓99.8%
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
▶68.3%
(+.f64 2 (*.f64 4 (/.f64 x y)))
▶65.4%
(+.f64 2 (*.f64 -4 (/.f64 z y)))
Compiler

Compiled 64 to 50 computations (21.9% saved)

localize44.0ms (2.1%)

Localize:

Found 2 expressions with local error:

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

Compiled 42 to 22 computations (47.6% saved)

series6.0ms (0.3%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 4 (/.f64 x y))
1.0ms
z
@inf
(*.f64 -4 (/.f64 z y))
1.0ms
z
@0
(*.f64 -4 (/.f64 z y))
1.0ms
y
@inf
(*.f64 -4 (/.f64 z y))
0.0ms
y
@0
(*.f64 -4 (/.f64 z y))

rewrite64.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
906×log-prod
803×log1p-expm1-u
803×expm1-log1p-u
514×pow-prod-down
384×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01538
116138
2213538
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
Outputs
(+.f64 0 (/.f64 -4 (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -4 (/.f64 y z)))) 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 y z)) 1)
(pow.f64 (cbrt.f64 (/.f64 -4 (/.f64 y z))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) 1/2)
(pow.f64 (pow.f64 (/.f64 -4 (/.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -4 (/.f64 y z))) 2)
(pow.f64 (/.f64 y (*.f64 -4 z)) -1)
(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 -4 (/.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 -4 (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (/.f64 -4 (/.f64 y z))))
(exp.f64 (log.f64 (/.f64 -4 (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 -4 (/.f64 y z))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -4 (/.f64 y z))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -4 (/.f64 y z)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -4 (/.f64 y z)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -4 (/.f64 y z)))) 2))
(log1p.f64 (expm1.f64 (/.f64 -4 (/.f64 y z))))
(+.f64 0 (/.f64 4 (/.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (/.f64 y x)))) 1)
(/.f64 4 (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 4 x)))
(/.f64 (*.f64 4 x) y)
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 y))
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 y))
(/.f64 (/.f64 (*.f64 4 x) 1) y)
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 4 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (/.f64 y x))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) 1/2)
(pow.f64 (pow.f64 (/.f64 4 (/.f64 y x)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 2) 2)
(pow.f64 (/.f64 y (*.f64 4 x)) -1)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 4 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (/.f64 4 (/.f64 y x))))
(exp.f64 (log.f64 (/.f64 4 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 y x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 y x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (/.f64 y x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 4 (/.f64 y x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 2)) 2))
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 y x))))

simplify55.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1416×log-div
1380×log-prod
1028×associate-*r/
718×associate-*l/
548×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01611378
13591326
211201254
366651254
Stop Event
1×node limit
Counts
62 → 72
Calls
Call 1
Inputs
(+.f64 0 (/.f64 -4 (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -4 (/.f64 y z)))) 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 y z)) 1)
(pow.f64 (cbrt.f64 (/.f64 -4 (/.f64 y z))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) 1/2)
(pow.f64 (pow.f64 (/.f64 -4 (/.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -4 (/.f64 y z))) 2)
(pow.f64 (/.f64 y (*.f64 -4 z)) -1)
(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 -4 (/.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 -4 (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (/.f64 -4 (/.f64 y z))))
(exp.f64 (log.f64 (/.f64 -4 (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 -4 (/.f64 y z))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -4 (/.f64 y z))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -4 (/.f64 y z)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -4 (/.f64 y z)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -4 (/.f64 y z)))) 2))
(log1p.f64 (expm1.f64 (/.f64 -4 (/.f64 y z))))
(+.f64 0 (/.f64 4 (/.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (/.f64 y x)))) 1)
(/.f64 4 (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 4 x)))
(/.f64 (*.f64 4 x) y)
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 y))
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 y))
(/.f64 (/.f64 (*.f64 4 x) 1) y)
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 4 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (/.f64 y x))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) 1/2)
(pow.f64 (pow.f64 (/.f64 4 (/.f64 y x)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 2) 2)
(pow.f64 (/.f64 y (*.f64 4 x)) -1)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 4 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (/.f64 4 (/.f64 y x))))
(exp.f64 (log.f64 (/.f64 4 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 y x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 y x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (/.f64 y x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 4 (/.f64 y x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 2)) 2))
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 y x))))
Outputs
(+.f64 0 (/.f64 -4 (/.f64 y z)))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -4 (/.f64 y z)))) 1)
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(/.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(/.f64 1 (/.f64 y (*.f64 -4 z)))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(/.f64 (neg.f64 (*.f64 -4 z)) (neg.f64 y))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(/.f64 (*.f64 -4 (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(/.f64 (*.f64 (neg.f64 z) -4) (neg.f64 y))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(/.f64 (/.f64 (*.f64 -4 z) 1) y)
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(/.f64 (/.f64 (*.f64 -4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(/.f64 (/.f64 (*.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(pow.f64 (/.f64 -4 (/.f64 y z)) 1)
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(pow.f64 (cbrt.f64 (/.f64 -4 (/.f64 y z))) 3)
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(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 -1/4 y)) 2))
(pow.f64 (pow.f64 (/.f64 -4 (/.f64 y z)) 3) 1/3)
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(pow.f64 (sqrt.f64 (/.f64 -4 (/.f64 y z))) 2)
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(pow.f64 (/.f64 y (*.f64 -4 z)) -1)
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 -1/4 y)) 2))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -4 (/.f64 y z)))))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(cbrt.f64 (pow.f64 (/.f64 -4 (/.f64 y z)) 3))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(expm1.f64 (log1p.f64 (/.f64 -4 (/.f64 y z))))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(exp.f64 (log.f64 (/.f64 -4 (/.f64 y z))))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(exp.f64 (*.f64 (log.f64 (/.f64 -4 (/.f64 y z))) 1))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -4 (/.f64 y z))) 1) 1))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -4 (/.f64 y z)))) 3))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -4 (/.f64 y z)))) 1/3))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -4 (/.f64 y z)))) 2))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(log1p.f64 (expm1.f64 (/.f64 -4 (/.f64 y z))))
(/.f64 (*.f64 -4 z) y)
(*.f64 -4 (/.f64 z y))
(/.f64 z (*.f64 -1/4 y))
(+.f64 0 (/.f64 4 (/.f64 y x)))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (/.f64 y x)))) 1)
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 4 x)))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 y))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 y))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 y))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 (/.f64 (*.f64 4 x) 1) y)
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(pow.f64 (/.f64 4 (/.f64 y x)) 1)
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 4 (/.f64 y x))) 3)
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(pow.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16) 1/2)
(sqrt.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2))
(pow.f64 (pow.f64 (/.f64 4 (/.f64 y x)) 3) 1/3)
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 2) 2)
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(pow.f64 (/.f64 y (*.f64 4 x)) -1)
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16))
(sqrt.f64 (*.f64 16 (pow.f64 (/.f64 x y) 2)))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (/.f64 y x)))))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 4 (/.f64 y x)) 3))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 4 (/.f64 y x))))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(exp.f64 (log.f64 (/.f64 4 (/.f64 y x))))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 y x))) 1))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 y x))) 1) 1))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (/.f64 y x)))) 3))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 4 (/.f64 y x)))) 1/3))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 2)) 2))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 4 (/.f64 y x))))
(/.f64 4 (/.f64 y x))
(*.f64 4 (/.f64 x y))

eval17.0ms (0.8%)

Compiler

Compiled 794 to 560 computations (29.5% saved)

prune18.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh000
Picked022
Done011
Total72375
Accuracy
100.0%
Counts
75 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
✓68.3%
(+.f64 2 (*.f64 4 (/.f64 x y)))
✓65.4%
(+.f64 2 (*.f64 -4 (/.f64 z y)))
Compiler

Compiled 71 to 53 computations (25.4% saved)

regimes20.0ms (0.9%)

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

5 calls:

4.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
4.0ms
z
4.0ms
y
4.0ms
x
3.0ms
(/.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 81 to 59 computations (27.2% saved)

regimes12.0ms (0.6%)

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

3 calls:

4.0ms
y
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes49.0ms (2.3%)

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

3 calls:

23.0ms
y
14.0ms
z
11.0ms
x
Results
AccuracySegmentsBranch
86.8%3x
76.8%8y
89.2%5z
Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes9.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
65.4%1y
65.4%1z
65.4%1x
Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch25.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
5970351797801172000.0
15205779742416452000.0
15.0ms
-1.2505118726486112e-141
-1.2609599992995063e-144
Results
20.0ms185×body256valid
2.0ms23×body256infinite
Compiler

Compiled 308 to 251 computations (18.5% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
16×+-commutative
12×*-commutative
6×sub-neg
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039189
160189
265189
367189
468189
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(if (<=.f64 x -4290498537581631/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 x 14000000000000000000) (+.f64 2 (*.f64 -4 (/.f64 z y))) (+.f64 2 (*.f64 4 (/.f64 x y)))))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
Outputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 2 (*.f64 (/.f64 4 y) (-.f64 x z)))
(if (<=.f64 x -4290498537581631/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 x 14000000000000000000) (+.f64 2 (*.f64 -4 (/.f64 z y))) (+.f64 2 (*.f64 4 (/.f64 x y)))))
(if (or (<=.f64 x -4290498537581631/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (not (<=.f64 x 14000000000000000000))) (+.f64 2 (*.f64 4 (/.f64 x y))) (+.f64 2 (*.f64 -4 (/.f64 z y))))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
Compiler

Compiled 64 to 49 computations (23.4% saved)

soundness88.0ms (4.2%)

Rules
1688×div-sub
972×fma-neg
970×fma-def
696×unsub-neg
680×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057591
1139515
2398471
31301455
44593381
Stop Event
1×node limit
Compiler

Compiled 89 to 61 computations (31.5% saved)

end0.0ms (0%)

preprocess48.0ms (2.3%)

Compiler

Compiled 142 to 102 computations (28.2% saved)

Profiling

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