Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B

Time bar (total: 1.9s)

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)

sample1.0s (56.3%)

Results
955.0ms7166×body256valid
81.0ms1090×body256infinite
Bogosity

preprocess148.0ms (8%)

Algorithm
1×egg-herbie
Rules
534×fma-def
102×unsub-neg
70×distribute-lft-in
68×distribute-rgt-in
66×associate-*r*
Problems
256×No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020149
166136
2190129
3451129
4681129
5852129
6903129
7904129
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 y 1))
(*.f64 x (+.f64 y 1))
(*.f64 (neg.f64 x) (+.f64 y 1))
(*.f64 x (+.f64 (neg.f64 y) 1))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 y 1)))
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) 1)))
(*.f64 y (+.f64 x 1))
Outputs
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (neg.f64 x) (+.f64 y 1))
(*.f64 (+.f64 y 1) (neg.f64 x))
(neg.f64 (fma.f64 x y x))
(*.f64 x (-.f64 -1 y))
(*.f64 x (+.f64 (neg.f64 y) 1))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 y 1)))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) 1)))
(*.f64 x (neg.f64 (+.f64 1 (neg.f64 y))))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 x (+.f64 y -1))
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
Symmetry

(negabs x)

Compiler

Compiled 21 to 14 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 3 computations (50% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x y x)
▶100.0%
(*.f64 x (+.f64 y 1))
▶100.0%
(fma.f64 x y x)
▶100.0%
(*.f64 x (+.f64 y 1))
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize34.0ms (1.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 x (+.f64 y 1))
Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (+.f64 y 1))
0.0ms
x
@-inf
(*.f64 x (+.f64 y 1))
0.0ms
x
@inf
(*.f64 x (+.f64 y 1))
0.0ms
y
@inf
(*.f64 x (+.f64 y 1))
0.0ms
y
@-inf
(*.f64 x (+.f64 y 1))

rewrite121.0ms (6.5%)

Algorithm
1×batch-egg-rewrite
Rules
668×unpow-prod-down
473×log1p-expm1-u
473×expm1-log1p-u
472×log-prod
443×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01019
110418
2134418
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(*.f64 x (+.f64 y 1))
Outputs
(+.f64 x (*.f64 x y))
(+.f64 0 (fma.f64 x y x))
(+.f64 (*.f64 x y) x)
(+.f64 (*.f64 (*.f64 x y) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))))
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 x 2)) (-.f64 (*.f64 x y) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) y))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1) y))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (pow.f64 (fma.f64 x y x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))))
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 y) (log.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(fma.f64 x y x)
(fma.f64 x 1 (*.f64 x y))
(fma.f64 y x x)
(fma.f64 1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x y) 1 x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)

simplify57.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1042×associate-*r*
994×fma-neg
924×associate-*l*
772×fma-def
756×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01391816
13341716
28361673
346541615
Stop Event
1×node limit
Counts
75 → 74
Calls
Call 1
Inputs
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 0 (fma.f64 x y x))
(+.f64 (*.f64 x y) x)
(+.f64 (*.f64 (*.f64 x y) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))))
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 x 2)) (-.f64 (*.f64 x y) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) y))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1) y))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (pow.f64 (fma.f64 x y x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))))
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 y) (log.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(fma.f64 x y x)
(fma.f64 x 1 (*.f64 x y))
(fma.f64 y x x)
(fma.f64 1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x y) 1 x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
Outputs
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
x
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x y)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x y)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 0 (fma.f64 x y x))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 (*.f64 x y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 (*.f64 (*.f64 x y) 1) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))))
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 x 2)) (*.f64 x (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 x (*.f64 x (-.f64 1 y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 x 2)) (-.f64 (*.f64 x y) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 x 2)) (fma.f64 x y (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 x 2) (fma.f64 y y -1)) (*.f64 x (+.f64 y -1)))
(/.f64 (fma.f64 x y x) 1)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) y))
(/.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 (fma.f64 y y 1) y) x))
(*.f64 (/.f64 (+.f64 1 (pow.f64 y 3)) (-.f64 (fma.f64 y y 1) y)) x)
(/.f64 (fma.f64 x (pow.f64 y 3) x) (-.f64 (fma.f64 y y 1) y))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1))
(/.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 (/.f64 x (+.f64 y -1)) (fma.f64 y y -1))
(*.f64 (fma.f64 y y -1) (/.f64 x (+.f64 y -1)))
(*.f64 x (/.f64 (+.f64 1 y) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1) y))
(/.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 (fma.f64 y y 1) y) x))
(*.f64 (/.f64 (+.f64 1 (pow.f64 y 3)) (-.f64 (fma.f64 y y 1) y)) x)
(/.f64 (fma.f64 x (pow.f64 y 3) x) (-.f64 (fma.f64 y y 1) y))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1))
(/.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 (/.f64 x (+.f64 y -1)) (fma.f64 y y -1))
(*.f64 (fma.f64 y y -1) (/.f64 x (+.f64 y -1)))
(*.f64 x (/.f64 (+.f64 1 y) 1))
(pow.f64 (fma.f64 x y x) 1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (pow.f64 (fma.f64 x y x) 2) 1/2)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 y))) 2)) (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log1p.f64 y)))) (sqrt.f64 (+.f64 (log.f64 x) (log1p.f64 y))))
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(log.f64 (exp.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 y) (log.f64 x))) 1/3))
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) 2))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x 1 (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 y x x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 1 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 1 (*.f64 x y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (*.f64 x y) 1 x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)

eval41.0ms (2.2%)

Compiler

Compiled 739 to 315 computations (57.4% saved)

prune12.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New71374
Fresh000
Picked202
Done000
Total73376
Accuracy
100.0%
Counts
76 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (*.f64 x y) x)
▶52.6%
(*.f64 x y)
49.5%
x
▶100.0%
(+.f64 (*.f64 x y) x)
▶52.6%
(*.f64 x y)
49.5%
x
Compiler

Compiled 30 to 18 computations (40% saved)

localize24.0ms (1.3%)

Compiler

Compiled 18 to 5 computations (72.2% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked022
Done000
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 x y) x)
✓52.6%
(*.f64 x y)
49.5%
x
✓100.0%
(+.f64 (*.f64 x y) x)
✓52.6%
(*.f64 x y)
49.5%
x
Compiler

Compiled 30 to 18 computations (40% 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
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 x y) x)
✓52.6%
(*.f64 x y)
49.5%
x
✓100.0%
(+.f64 (*.f64 x y) x)
✓52.6%
(*.f64 x y)
49.5%
x
Compiler

Compiled 30 to 18 computations (40% 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
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 x y) x)
✓52.6%
(*.f64 x y)
49.5%
x
Compiler

Compiled 35 to 17 computations (51.4% saved)

regimes25.0ms (1.3%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 x (+.f64 y 1))
(+.f64 (*.f64 x y) x)
(fma.f64 x y x)
Outputs
(+.f64 (*.f64 x y) x)
Calls

4 calls:

13.0ms
(*.f64 x (+.f64 y 1))
4.0ms
x
4.0ms
y
3.0ms
(+.f64 y 1)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (+.f64 y 1))
100.0%1(+.f64 y 1)
Compiler

Compiled 38 to 21 computations (44.7% saved)

regimes15.0ms (0.8%)

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

4 calls:

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

Compiled 29 to 19 computations (34.5% saved)

regimes33.0ms (1.8%)

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

2 calls:

23.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
64.6%7x
97.9%3y
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.3%)

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
x
3.0ms
y
Results
AccuracySegmentsBranch
49.5%1x
49.5%1y
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch25.0ms (1.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.052227121371632025
8.71321822516786
15.0ms
-1124085654059.35
-0.04154972458526495
Results
22.0ms272×body256valid
Compiler

Compiled 182 to 128 computations (29.7% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02093
13293
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y 1))
(if (<=.f64 y -1) (*.f64 x y) (if (<=.f64 y 1) x (*.f64 x y)))
x
Outputs
(+.f64 (*.f64 x y) x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 y 1))
(if (<=.f64 y -1) (*.f64 x y) (if (<=.f64 y 1) x (*.f64 x y)))
(if (or (<=.f64 y -1) (not (<=.f64 y 1))) (*.f64 x y) x)
x
Compiler

Compiled 32 to 21 computations (34.4% saved)

soundness84.0ms (4.5%)

Rules
668×unpow-prod-down
473×log1p-expm1-u
473×expm1-log1p-u
472×log-prod
443×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01019
110418
2134418
Stop Event
1×node limit
Compiler

Compiled 19 to 10 computations (47.4% saved)

end0.0ms (0%)

preprocess174.0ms (9.4%)

Remove

(negabs x)

Compiler

Compiled 94 to 54 computations (42.6% saved)

Profiling

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