Data.Colour.CIE:cieLAB from colour-2.3.3, C

Time bar (total: 1.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 6 computations (25% saved)

sample912.0ms (62.4%)

Results
901.0ms8256×body256valid
Bogosity

preprocess34.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
328×fma-def
52×cancel-sign-sub-inv
50×sub-neg
44×distribute-rgt-in
34×distribute-lft-neg-in
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01560
12652
24252
36548
412348
520344
632244
743144
849040
953840
1056340
1156740
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
(+.f64 (neg.f64 x) (/.f64 y 500))
(+.f64 x (/.f64 (neg.f64 y) 500))
(+.f64 y (/.f64 x 500))
Outputs
(+.f64 x (/.f64 y 500))
(+.f64 x (*.f64 y 1/500))
(fma.f64 y 1/500 x)
(+.f64 (neg.f64 x) (/.f64 y 500))
(+.f64 (/.f64 y 500) (neg.f64 x))
(-.f64 (/.f64 y 500) x)
(-.f64 (*.f64 y 1/500) x)
(+.f64 x (/.f64 (neg.f64 y) 500))
(-.f64 x (/.f64 y 500))
(+.f64 x (*.f64 -1/500 y))
(fma.f64 -1/500 y x)
(fma.f64 y -1/500 x)
(+.f64 y (/.f64 x 500))
(+.f64 y (*.f64 1/500 x))
(fma.f64 1/500 x y)
(fma.f64 x 1/500 y)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
Outputs
(+.f64 x (/.f64 y 500))

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (/.f64 y 500))
▶100.0%
(+.f64 x (/.f64 y 500))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize22.0ms (1.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 x (/.f64 y 500))
Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+.f64 x (/.f64 y 500))
0.0ms
x
@0
(+.f64 x (/.f64 y 500))
0.0ms
x
@inf
(+.f64 x (/.f64 y 500))
0.0ms
y
@0
(+.f64 x (/.f64 y 500))
0.0ms
y
@-inf
(+.f64 x (/.f64 y 500))

rewrite56.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
1682×pow1
1578×add-exp-log
1578×log1p-expm1-u
1578×expm1-log1p-u
1548×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11589
221319
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
Outputs
(-.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 1/500))) (/.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))
(*.f64 (fma.f64 y 1/500 x) 1)
(*.f64 1 (fma.f64 y 1/500 x))
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))) (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 1/500)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y 1/500)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 y 1/500)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))) (neg.f64 (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
(pow.f64 (fma.f64 y 1/500 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 y 1/500 x)
(fma.f64 1 x (*.f64 y 1/500))
(fma.f64 1 (*.f64 y 1/500) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2) (cbrt.f64 (*.f64 y 1/500)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 1/500))
(fma.f64 (sqrt.f64 (*.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))

simplify58.0ms (4%)

Algorithm
1×egg-herbie
Rules
1174×fma-neg
950×cancel-sign-sub-inv
824×associate-*r*
780×associate-*l*
642×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092976
1229922
2747878
34455878
Stop Event
1×node limit
Counts
58 → 44
Calls
Call 1
Inputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(-.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 1/500))) (/.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))
(*.f64 (fma.f64 y 1/500 x) 1)
(*.f64 1 (fma.f64 y 1/500 x))
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))) (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 1/500)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y 1/500)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 y 1/500)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))) (neg.f64 (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
(pow.f64 (fma.f64 y 1/500 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 y 1/500 x)
(fma.f64 1 x (*.f64 y 1/500))
(fma.f64 1 (*.f64 y 1/500) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2) (cbrt.f64 (*.f64 y 1/500)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 1/500))
(fma.f64 (sqrt.f64 (*.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))
Outputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(-.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)
(fma.f64 1/500 y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 1/500))) (/.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(*.f64 (fma.f64 y 1/500 x) 1)
(fma.f64 1/500 y x)
(*.f64 1 (fma.f64 y 1/500 x))
(fma.f64 1/500 y x)
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(fma.f64 1/500 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 1/500 (fma.f64 y 1/500 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 1/500 (fma.f64 1/500 y (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (fma.f64 y -1/500 x))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))) (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 1/500 (fma.f64 y 1/500 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 1/500 (fma.f64 1/500 y (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (fma.f64 y -1/500 x))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 1/500)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 1/500 (fma.f64 y 1/500 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 1/500 (fma.f64 1/500 y (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (fma.f64 y -1/500 x))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y 1/500)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 1/500 (fma.f64 y 1/500 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 1/500 (fma.f64 1/500 y (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (fma.f64 y -1/500 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 y 1/500)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 1/500 (fma.f64 y 1/500 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 1/500 (fma.f64 1/500 y (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 1/250000) (*.f64 x (fma.f64 y -1/500 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))) (neg.f64 (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 1/500 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (*.f64 y -1/250000) (*.f64 x x)) (fma.f64 y -1/500 x))
(pow.f64 (fma.f64 y 1/500 x) 1)
(fma.f64 1/500 y x)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(fma.f64 1/500 y x)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(fma.f64 1/500 y x)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(fma.f64 1/500 y x)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(fma.f64 1/500 y x)
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(fma.f64 1/500 y x)
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(fma.f64 y 1/500 x)
(fma.f64 1/500 y x)
(fma.f64 1 x (*.f64 y 1/500))
(fma.f64 1/500 y x)
(fma.f64 1 (*.f64 y 1/500) x)
(fma.f64 1/500 y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2) (cbrt.f64 (*.f64 y 1/500)) x)
(fma.f64 1/500 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 1/500))
(fma.f64 1/500 y x)
(fma.f64 (sqrt.f64 (*.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)) x)
(fma.f64 1/500 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))
(fma.f64 1/500 y x)

eval10.0ms (0.7%)

Compiler

Compiled 521 to 327 computations (37.2% saved)

prune42.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42244
Fresh000
Picked011
Done000
Total42345
Accurracy
100.0%
Counts
45 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (/.f64 y 500))
▶51.0%
(*.f64 1/500 y)
50.1%
x
✓100.0%
(+.f64 x (/.f64 y 500))
▶51.0%
(*.f64 1/500 y)
50.1%
x
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize15.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 1/500 y)
Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(*.f64 1/500 y)
0.0ms
y
@-inf
(*.f64 1/500 y)
0.0ms
y
@0
(*.f64 1/500 y)

rewrite85.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
884×pow1
860×add-sqr-sqrt
842×*-un-lft-identity
816×add-exp-log
816×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211107
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 1/500 y)
Outputs
(+.f64 0 (*.f64 1/500 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y)) (cbrt.f64 (pow.f64 (exp.f64 1/500) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/500) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/500) y))))
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(pow.f64 (*.f64 1/500 y) 1)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(pow.f64 (pow.f64 (*.f64 1/500 y) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(sqrt.f64 (*.f64 1/250000 (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 1/500) y))
(cbrt.f64 (pow.f64 (*.f64 1/500 y) 3))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(exp.f64 (log.f64 (*.f64 1/500 y)))
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))

simplify61.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
1586×log-prod
1574×fma-def
1114×fma-neg
530×*-commutative
518×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043154
194140
2309116
32268116
45057116
57318116
Stop Event
1×node limit
Counts
14 → 18
Calls
Call 1
Inputs
(+.f64 0 (*.f64 1/500 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y)) (cbrt.f64 (pow.f64 (exp.f64 1/500) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/500) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/500) y))))
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(pow.f64 (*.f64 1/500 y) 1)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(pow.f64 (pow.f64 (*.f64 1/500 y) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(sqrt.f64 (*.f64 1/250000 (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 1/500) y))
(cbrt.f64 (pow.f64 (*.f64 1/500 y) 3))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(exp.f64 (log.f64 (*.f64 1/500 y)))
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
Outputs
(+.f64 0 (*.f64 1/500 y))
(*.f64 1/500 y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y)) (cbrt.f64 (pow.f64 (exp.f64 1/500) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/500) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/500) y))))
(*.f64 1/500 y)
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(*.f64 1/500 y)
(pow.f64 (*.f64 1/500 y) 1)
(*.f64 1/500 y)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(*.f64 1/500 y)
(pow.f64 (pow.f64 (*.f64 1/500 y) 3) 1/3)
(*.f64 1/500 y)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(*.f64 1/500 y)
(sqrt.f64 (*.f64 1/250000 (*.f64 y y)))
(*.f64 1/500 y)
(log.f64 (pow.f64 (exp.f64 1/500) y))
(*.f64 1/500 y)
(cbrt.f64 (pow.f64 (*.f64 1/500 y) 3))
(*.f64 1/500 y)
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)
(exp.f64 (log.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)

eval4.0ms (0.3%)

Compiler

Compiled 136 to 113 computations (16.9% saved)

prune4.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New18018
Fresh011
Picked011
Done011
Total18321
Accurracy
100.0%
Counts
21 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (/.f64 y 500))
✓51.0%
(*.f64 1/500 y)
50.1%
x
✓100.0%
(+.f64 x (/.f64 y 500))
✓51.0%
(*.f64 1/500 y)
50.1%
x
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (/.f64 y 500))
✓51.0%
(*.f64 1/500 y)
50.1%
x
✓100.0%
(+.f64 x (/.f64 y 500))
✓51.0%
(*.f64 1/500 y)
50.1%
x
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize0.0ms (0%)

eval1.0ms (0.1%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (/.f64 y 500))
✓51.0%
(*.f64 1/500 y)
50.1%
x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes15.0ms (1%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 1/500 y)
(+.f64 x (/.f64 y 500))
Outputs
(+.f64 x (/.f64 y 500))
Calls

4 calls:

5.0ms
y
3.0ms
(+.f64 x (/.f64 y 500))
3.0ms
(/.f64 y 500)
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 y 500))
100.0%1(/.f64 y 500)
Compiler

Compiled 29 to 20 computations (31% saved)

regimes22.0ms (1.5%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 1/500 y)
Outputs
(*.f64 1/500 y)
x
(*.f64 1/500 y)
Calls

2 calls:

13.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
76.0%3x
77.1%3y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
50.1%1x
50.1%1y
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch26.0ms (1.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.25628035014477e+21
2.5548552005694265e+29
12.0ms
-3.40995013713963e-27
-1.5933850241819699e-31
Results
21.0ms272×body256valid
Compiler

Compiled 182 to 145 computations (20.3% saved)

simplify5.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
2×if-if-or-not
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01847
12547
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 y -2676089423823675/44601490397061246283071436545296723011960832) (*.f64 1/500 y) (if (<=.f64 y 569999999999999995805696) x (*.f64 1/500 y)))
x
Outputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 y -2676089423823675/44601490397061246283071436545296723011960832) (*.f64 1/500 y) (if (<=.f64 y 569999999999999995805696) x (*.f64 1/500 y)))
(if (<=.f64 y -2676089423823675/44601490397061246283071436545296723011960832) (*.f64 y 1/500) (if (<=.f64 y 569999999999999995805696) x (*.f64 y 1/500)))
x
Compiler

Compiled 27 to 19 computations (29.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess73.0ms (5%)

Compiler

Compiled 60 to 40 computations (33.3% saved)

Profiling

Loading profile data...