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

Time bar (total: 1.1s)

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)

sample618.0ms (55.2%)

Results
461.0ms6239×body256valid
146.0ms2017×body256infinite
Bogosity

preprocess73.0ms (6.5%)

Algorithm
1×egg-herbie
Rules
372×fma-def
66×cancel-sign-sub-inv
62×sub-neg
48×fma-neg
38×distribute-lft-neg-in
Problems
256×No Errors
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01469
13769
27469
317165
431565
542665
651465
753465
853665
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y y))
(-.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 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 20 to 9 computations (55% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

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%)

Localize:

Found 1 expressions with local error:

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

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite58.0ms (5.2%)

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)))

simplify56.0ms (5%)

Algorithm
1×egg-herbie
Rules
1726×div-sub
1526×fma-neg
876×fma-def
358×sub-neg
356×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021019
1264969
2978935
34359915
Stop Event
1×node limit
Counts
59 → 47
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 y 2))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
x
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
x
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
x
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(*.f64 -1 (pow.f64 y 2))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(*.f64 -1 (pow.f64 y 2))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(+.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 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
x
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
x
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
x
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 -1 (pow.f64 y 2)))
(-.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 x (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4))))
(+.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))

eval8.0ms (0.7%)

Compiler

Compiled 557 to 207 computations (62.8% saved)

prune13.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348
Accuracy
100.0%
Counts
48 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 y y))
▶52.7%
(*.f64 y (neg.f64 y))
49.6%
x
✓100.0%
(-.f64 x (*.f64 y y))
▶52.7%
(*.f64 y (neg.f64 y))
49.6%
x
Compiler

Compiled 32 to 20 computations (37.5% saved)

localize17.0ms (1.5%)

Compiler

Compiled 10 to 5 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 y y))
✓52.7%
(*.f64 y (neg.f64 y))
49.6%
x
✓100.0%
(-.f64 x (*.f64 y y))
✓52.7%
(*.f64 y (neg.f64 y))
49.6%
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
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 y y))
✓52.7%
(*.f64 y (neg.f64 y))
49.6%
x
✓100.0%
(-.f64 x (*.f64 y y))
✓52.7%
(*.f64 y (neg.f64 y))
49.6%
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
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 y y))
✓52.7%
(*.f64 y (neg.f64 y))
49.6%
x
Compiler

Compiled 28 to 16 computations (42.9% saved)

regimes15.0ms (1.4%)

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
y
4.0ms
x
3.0ms
(-.f64 x (*.f64 y y))
3.0ms
(*.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)

regimes58.0ms (5.1%)

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:

44.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
71.4%5x
89.6%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
49.6%1x
49.6%1y
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch28.0ms (2.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
4.086213476316021e+30
2.6848003772973736e+32
14.0ms
5558.406840533553
30039637356.595985
4.0ms
1.2173469126315277e-24
1.4842146226638546e-24
Results
24.0ms304×body256valid
Compiler

Compiled 221 to 160 computations (27.6% saved)

simplify20.0ms (1.8%)

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 1973637728141443/1361129467683753853853498429727072845824) x (if (<=.f64 y 10500000000) (*.f64 y (neg.f64 y)) (if (<=.f64 y 4200000000000000027220428980224) x (*.f64 y (neg.f64 y)))))
x
Outputs
(-.f64 x (*.f64 y y))
(if (<=.f64 y 1973637728141443/1361129467683753853853498429727072845824) x (if (<=.f64 y 10500000000) (*.f64 y (neg.f64 y)) (if (<=.f64 y 4200000000000000027220428980224) x (*.f64 y (neg.f64 y)))))
(if (<=.f64 y 1973637728141443/1361129467683753853853498429727072845824) x (if (or (<=.f64 y 10500000000) (not (<=.f64 y 4200000000000000027220428980224))) (*.f64 y (neg.f64 y)) x))
x
Compiler

Compiled 31 to 20 computations (35.5% saved)

soundness89.0ms (8%)

Rules
1726×div-sub
1526×fma-neg
876×fma-def
358×sub-neg
356×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021019
1264969
2978935
34359915
Stop Event
1×node limit
Compiler

Compiled 20 to 12 computations (40% saved)

end0.0ms (0%)

preprocess31.0ms (2.7%)

Remove

(abs y)

Compiler

Compiled 82 to 48 computations (41.5% saved)

Profiling

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