Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1

Time bar (total: 1.2s)

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 5 computations (37.5% saved)

sample748.0ms (61.3%)

Results
517.0ms6271×body256valid
218.0ms1985×body256infinite
Bogosity

preprocess30.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
372×fma-def
66×cancel-sign-sub-inv
62×sub-neg
48×fma-neg
38×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01456
13756
27456
317152
431552
542652
651452
753452
853652
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y y))
(-.f64 (neg.f64 x) (*.f64 y y))
(-.f64 x (*.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 y (*.f64 x x))
Outputs
(-.f64 x (*.f64 y y))
(-.f64 (neg.f64 x) (*.f64 y y))
(neg.f64 (fma.f64 y y x))
(-.f64 x (*.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 x (*.f64 y y))
(-.f64 y (*.f64 x x))
Symmetry

(abs y)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify12.0ms (1%)

Algorithm
1×egg-herbie
Rules
204×fma-def
30×cancel-sign-sub-inv
30×sub-neg
24×unsub-neg
22×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11213
22013
33313
44813
57513
611913
716413
821113
925913
1029513
1129913
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 x (*.f64 y y))
Outputs
(-.f64 x (*.f64 y y))

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% 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 y))
▶100.0%
(-.f64 x (*.f64 y y))
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize20.0ms (1.7%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(-.f64 x (*.f64 y y))
0.0ms
y
@inf
(-.f64 x (*.f64 y y))
0.0ms
x
@0
(-.f64 x (*.f64 y y))
0.0ms
x
@inf
(-.f64 x (*.f64 y y))
0.0ms
x
@-inf
(-.f64 x (*.f64 y y))

rewrite53.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
1422×pow1
1322×add-exp-log
1322×log1p-expm1-u
1322×expm1-log1p-u
1292×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113313
2185013
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 x (*.f64 y y))
Outputs
(+.f64 x (neg.f64 (*.f64 y y)))
(+.f64 x (*.f64 (neg.f64 (*.f64 y y)) 1))
(+.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 (*.f64 y y)) 1 (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(+.f64 (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 x (*.f64 y y)) 1)
(*.f64 1 (-.f64 x (*.f64 y y)))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 2) (cbrt.f64 (-.f64 x (*.f64 y y))))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y y))) (sqrt.f64 (-.f64 x (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (/.f64 1 (+.f64 x (*.f64 y y))))
(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 6))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 y y)) (-.f64 (*.f64 x x) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 x (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y 4))) (neg.f64 (+.f64 x (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (*.f64 y y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 y y))) (*.f64 x (neg.f64 (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 y y)))) (-.f64 x (neg.f64 (*.f64 y y))))
(pow.f64 (-.f64 x (*.f64 y y)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y y))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y y))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y y))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y y))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y y))))
(fma.f64 1 x (neg.f64 (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 y y)))

simplify60.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
1736×div-sub
1526×fma-neg
876×fma-def
356×sub-neg
356×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021019
1266969
2975935
34351915
Stop Event
1×node limit
Counts
59 → 46
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 x (neg.f64 (*.f64 y y)))
(+.f64 x (*.f64 (neg.f64 (*.f64 y y)) 1))
(+.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 (*.f64 y y)) 1 (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(+.f64 (neg.f64 (*.f64 y y)) x)
(*.f64 (-.f64 x (*.f64 y y)) 1)
(*.f64 1 (-.f64 x (*.f64 y y)))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 2) (cbrt.f64 (-.f64 x (*.f64 y y))))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y y))) (sqrt.f64 (-.f64 x (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (/.f64 1 (+.f64 x (*.f64 y y))))
(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 6))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 y y)) (-.f64 (*.f64 x x) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 x (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y 4))) (neg.f64 (+.f64 x (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (*.f64 y y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 y y))) (*.f64 x (neg.f64 (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 y y)))) (-.f64 x (neg.f64 (*.f64 y y))))
(pow.f64 (-.f64 x (*.f64 y y)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y y))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y y))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y y))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y y))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y y))))
(fma.f64 1 x (neg.f64 (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 y y)))
Outputs
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(-.f64 x (*.f64 y y))
(+.f64 x (neg.f64 (*.f64 y y)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 (neg.f64 (*.f64 y y)) 1))
(-.f64 x (*.f64 y y))
(+.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(-.f64 x (*.f64 y y))
(+.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 (*.f64 y y)) 1 (*.f64 y y)))
(-.f64 x (*.f64 y y))
(+.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) x)
(+.f64 (neg.f64 (*.f64 y y)) x)
(-.f64 x (*.f64 y y))
(*.f64 (-.f64 x (*.f64 y y)) 1)
(-.f64 x (*.f64 y y))
(*.f64 1 (-.f64 x (*.f64 y y)))
(-.f64 x (*.f64 y y))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 2))
(-.f64 x (*.f64 y y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 2) (cbrt.f64 (-.f64 x (*.f64 y y))))
(-.f64 x (*.f64 y y))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y y))) (sqrt.f64 (-.f64 x (*.f64 y y))))
(-.f64 x (*.f64 y y))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) 1) (fma.f64 x x (+.f64 (*.f64 x (*.f64 y y)) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (*.f64 (*.f64 y y) (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 x (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x (fma.f64 y y x) (pow.f64 y 4)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (/.f64 1 (+.f64 x (*.f64 y y))))
(-.f64 x (*.f64 y y))
(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))
(-.f64 x (*.f64 y y))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 6))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) 1) (fma.f64 x x (+.f64 (*.f64 x (*.f64 y y)) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (*.f64 (*.f64 y y) (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 x (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x (fma.f64 y y x) (pow.f64 y 4)))
(/.f64 1 (/.f64 (+.f64 x (*.f64 y y)) (-.f64 (*.f64 x x) (pow.f64 y 4))))
(-.f64 x (*.f64 y y))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) 1) (fma.f64 x x (+.f64 (*.f64 x (*.f64 y y)) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (*.f64 (*.f64 y y) (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 x (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x (fma.f64 y y x) (pow.f64 y 4)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 x (*.f64 y y)))
(-.f64 x (*.f64 y y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y y) (+.f64 x (*.f64 y y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) 1) (fma.f64 x x (+.f64 (*.f64 x (*.f64 y y)) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (*.f64 (*.f64 y y) (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 x (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x (fma.f64 y y x) (pow.f64 y 4)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y 4))) (neg.f64 (+.f64 x (*.f64 y y))))
(-.f64 x (*.f64 y y))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (*.f64 y y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 y y))) (*.f64 x (neg.f64 (*.f64 y y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) 1) (fma.f64 x x (+.f64 (*.f64 x (*.f64 y y)) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (*.f64 (*.f64 y y) (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 x (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x (fma.f64 y y x) (pow.f64 y 4)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 y y)))) (-.f64 x (neg.f64 (*.f64 y y))))
(-.f64 x (*.f64 y y))
(pow.f64 (-.f64 x (*.f64 y y)) 1)
(-.f64 x (*.f64 y y))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 3)
(-.f64 x (*.f64 y y))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3) 1/3)
(-.f64 x (*.f64 y y))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y y))) 2)
(-.f64 x (*.f64 y y))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 2))
(-.f64 x (*.f64 y y))
(log.f64 (exp.f64 (-.f64 x (*.f64 y y))))
(-.f64 x (*.f64 y y))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3))
(-.f64 x (*.f64 y y))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y y))))
(-.f64 x (*.f64 y y))
(exp.f64 (log.f64 (-.f64 x (*.f64 y y))))
(-.f64 x (*.f64 y y))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y y))))
(-.f64 x (*.f64 y y))
(fma.f64 1 x (neg.f64 (*.f64 y y)))
(-.f64 x (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 y y)))
(-.f64 x (*.f64 y y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 y y)))
(-.f64 x (*.f64 y y))

eval9.0ms (0.7%)

Compiler

Compiled 546 to 200 computations (63.4% saved)

prune8.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New44246
Fresh000
Picked011
Done000
Total44347
Accurracy
100.0%
Counts
47 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 y y))
▶54.0%
(*.f64 y (neg.f64 y))
48.9%
x
✓100.0%
(-.f64 x (*.f64 y y))
▶54.0%
(*.f64 y (neg.f64 y))
48.9%
x
Compiler

Compiled 32 to 20 computations (37.5% saved)

localize20.0ms (1.7%)

Compiler

Compiled 10 to 5 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 y y))
✓54.0%
(*.f64 y (neg.f64 y))
48.9%
x
✓100.0%
(-.f64 x (*.f64 y y))
✓54.0%
(*.f64 y (neg.f64 y))
48.9%
x
Compiler

Compiled 32 to 20 computations (37.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.2%)

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 y))
✓54.0%
(*.f64 y (neg.f64 y))
48.9%
x
✓100.0%
(-.f64 x (*.f64 y y))
✓54.0%
(*.f64 y (neg.f64 y))
48.9%
x
Compiler

Compiled 32 to 20 computations (37.5% 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 y))
✓54.0%
(*.f64 y (neg.f64 y))
48.9%
x
Compiler

Compiled 28 to 16 computations (42.9% saved)

regimes15.0ms (1.3%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 y))
(-.f64 x (*.f64 y y))
Outputs
(-.f64 x (*.f64 y y))
Calls

4 calls:

5.0ms
x
4.0ms
(*.f64 y y)
4.0ms
y
3.0ms
(-.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 x (*.f64 y y))
100.0%1(*.f64 y y)
Compiler

Compiled 30 to 17 computations (43.3% saved)

regimes34.0ms (2.8%)

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

2 calls:

20.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
73.8%7x
90.7%4y
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
48.9%1x
48.9%1y
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch72.0ms (5.9%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.0208408956637464e+24
8.5089770040806e+25
6.0ms
1.319627883524178e-45
2.162400338514478e-45
55.0ms
5.426410008068733e-59
2.1808360280453243e-57
Results
24.0ms288×body256valid
Compiler

Compiled 210 to 152 computations (27.6% saved)

simplify7.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
6×sub-neg
6×+-commutative
6×*-commutative
4×not-or
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02161
13561
24361
34961
45161
55261
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y y))
(if (<=.f64 y 7597442378547053/3533694129556768659166595001485837031654967793751237916243212402585239552) x (if (<=.f64 y 8677465438998547/6427752177035961102167848369364650410088811975131171341205504) (*.f64 y (neg.f64 y)) (if (<=.f64 y 1050000000000000062914560) x (*.f64 y (neg.f64 y)))))
x
Outputs
(-.f64 x (*.f64 y y))
(if (<=.f64 y 7597442378547053/3533694129556768659166595001485837031654967793751237916243212402585239552) x (if (<=.f64 y 8677465438998547/6427752177035961102167848369364650410088811975131171341205504) (*.f64 y (neg.f64 y)) (if (<=.f64 y 1050000000000000062914560) x (*.f64 y (neg.f64 y)))))
(if (<=.f64 y 7597442378547053/3533694129556768659166595001485837031654967793751237916243212402585239552) x (if (or (<=.f64 y 8677465438998547/6427752177035961102167848369364650410088811975131171341205504) (not (<=.f64 y 1050000000000000062914560))) (*.f64 y (neg.f64 y)) x))
x
Compiler

Compiled 31 to 20 computations (35.5% saved)

soundness84.0ms (6.9%)

Rules
1736×div-sub
1526×fma-neg
876×fma-def
356×sub-neg
356×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021019
1266969
2975935
34351915
Stop Event
1×node limit
Compiler

Compiled 20 to 12 computations (40% saved)

end0.0ms (0%)

preprocess31.0ms (2.5%)

Remove

(abs y)

Compiler

Compiled 82 to 48 computations (41.5% saved)

Profiling

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