Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1

Time bar (total: 1.8s)

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)

Precisions
Click to see histograms
Operation ival-sub, total time spent: 0.0ms
Operation ival-mult, total time spent: 0.0ms
Operation const, total time spent: 0.0ms

sample825.0ms (46.4%)

Results
705.0ms7195×body256valid
108.0ms1061×body256infinite
Precisions
Click to see histograms
Operation ival-sub, total time spent: 62.0ms
Operation ival-mult, total time spent: 72.0ms
Operation const, total time spent: 10.0ms
Bogosity

preprocess86.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
720×fma-def
82×unsub-neg
62×associate-*r*
60×distribute-lft-neg-in
58×sub-neg
Problems
256×No Errors
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020174
147148
2121136
3321132
4633132
5861132
6964132
7972132
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 (neg.f64 x) y) (neg.f64 x))
(-.f64 (*.f64 x (neg.f64 y)) x)
(neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 x (neg.f64 y)) x))
(-.f64 (*.f64 y x) y)
Outputs
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 (neg.f64 x) y) (neg.f64 x))
(-.f64 (*.f64 x (neg.f64 y)) (neg.f64 x))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (fma.f64 y -1 1))
(*.f64 x (-.f64 1 y))
(-.f64 (*.f64 x (neg.f64 y)) x)
(*.f64 x (+.f64 (neg.f64 y) -1))
(*.f64 x (fma.f64 y -1 -1))
(*.f64 x (-.f64 -1 y))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(neg.f64 (-.f64 (*.f64 x (neg.f64 y)) x))
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) -1)))
(fma.f64 x y x)
(-.f64 (*.f64 y x) y)
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
Symmetry

(negabs x)

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions
Click to see histograms
Operation ival-sub, total time spent: 2.0ms
Operation ival-mult, total time spent: 3.0ms
Operation const, total time spent: 0.0ms

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0.1%)

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

Compiled 14 to 10 computations (28.6% saved)

localize32.0ms (1.8%)

Localize:

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms
Operation ival-mult, total time spent: 2.0ms
Operation ival-add, total time spent: 3.0ms
Operation const, total time spent: 1.0ms

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 x (+.f64 y -1))
1.0ms
x
@0
(*.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
x
@inf
(*.f64 x (+.f64 y -1))

rewrite185.0ms (10.4%)

Algorithm
1×batch-egg-rewrite
Rules
692×unpow-prod-down
515×log1p-expm1-u
515×expm1-log1p-u
502×log-prod
480×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110419
2141119
Stop Event
1×node limit
Counts
1 → 53
Calls
Call 1
Inputs
(*.f64 x (+.f64 y -1))
Outputs
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x y))
(+.f64 0 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (neg.f64 x) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (*.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.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) (*.f64 y -1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 y -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 y -1))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 y -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y -1)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(fma.f64 x y (neg.f64 x))
(fma.f64 x -1 (*.f64 x y))
(fma.f64 y x (neg.f64 x))
(fma.f64 -1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(fma.f64 1 (neg.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(fma.f64 (*.f64 x y) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))

simplify67.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1364×fma-neg
1056×fma-def
654×div-sub
592×cancel-sign-sub-inv
432×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521763
13791705
210571689
344151689
Stop Event
1×node limit
Counts
77 → 67
Calls
Call 1
Inputs
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x y))
(+.f64 0 (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (neg.f64 x) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (*.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.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) (*.f64 y -1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 y -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 y -1))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y -1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 y -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y -1)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(fma.f64 x y (neg.f64 x))
(fma.f64 x -1 (*.f64 x y))
(fma.f64 y x (neg.f64 x))
(fma.f64 -1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(fma.f64 1 (neg.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(fma.f64 (*.f64 x y) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
Outputs
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(*.f64 x y)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(*.f64 x y)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 x y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (neg.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 0 (*.f64 x (+.f64 y -1)))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (neg.f64 x) 1))
(*.f64 x (+.f64 y -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))))
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(*.f64 x (+.f64 y -1))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (*.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x y)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 (*.f64 x y) (fma.f64 x y x))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (*.f64 x y) (neg.f64 x)))
(*.f64 x (+.f64 y -1))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 y (fma.f64 y y 1)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(*.f64 x (+.f64 y -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 y (fma.f64 y y 1)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(*.f64 x (+.f64 y -1))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 y -1))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(*.f64 x (+.f64 y -1))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) 1/2)
(*.f64 x (+.f64 y -1))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(*.f64 x (+.f64 y -1))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(*.f64 x (+.f64 y -1))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 y -1))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(*.f64 x (+.f64 y -1))
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(*.f64 x (+.f64 y -1))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(*.f64 x (+.f64 y -1))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y -1)))) 3))
(*.f64 x (+.f64 y -1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 y -1)))) 1/3))
(*.f64 x (+.f64 y -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y -1)))) 2))
(*.f64 x (+.f64 y -1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x -1 (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 -1 x (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 1 (neg.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (*.f64 x y) 1 (*.f64 (neg.f64 x) 1))
(*.f64 x (+.f64 y -1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(*.f64 x (+.f64 y -1))

eval14.0ms (0.8%)

Compiler

Compiled 705 to 388 computations (45% saved)

prune11.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh000
Picked011
Done000
Total65368
Accuracy
100.0%
Counts
68 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (+.f64 y -1))
▶49.6%
(*.f64 x y)
▶52.7%
(neg.f64 x)
✓100.0%
(*.f64 x (+.f64 y -1))
▶49.6%
(*.f64 x y)
▶52.7%
(neg.f64 x)
Compiler

Compiled 32 to 22 computations (31.3% saved)

localize25.0ms (1.4%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions
Click to see histograms
Operation ival-neg, total time spent: 1.0ms
Operation ival-mult, total time spent: 2.0ms
Operation const, total time spent: 0.0ms

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done011
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (+.f64 y -1))
✓49.6%
(*.f64 x y)
✓52.7%
(neg.f64 x)
Compiler

Compiled 33 to 19 computations (42.4% saved)

regimes16.0ms (0.9%)

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

3 calls:

7.0ms
y
4.0ms
x
4.0ms
(-.f64 (*.f64 x y) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 x y) x)
Compiler

Compiled 30 to 16 computations (46.7% saved)

regimes36.0ms (2%)

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

2 calls:

25.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
67.1%9x
98.6%3y
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 x)
Outputs
(neg.f64 x)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
52.7%1x
52.7%1y
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch216.0ms (12.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
196.0ms
7.202140962473894e-11
1.3497389076126927
20.0ms
-6271.517448580492
-2.8792439509957287e-21
Results
213.0ms336×body256valid
Compiler

Compiled 243 to 176 computations (27.6% saved)

Precisions
Click to see histograms
Operation ival-sub, total time spent: 2.0ms
Operation ival-mult, total time spent: 182.0ms
Operation const, total time spent: 0.0ms

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×*-commutative
4×+-commutative
3×1-exp
2×sub-neg
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02179
13679
23879
33979
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 y -1))
(if (<=.f64 y -1) (*.f64 x y) (if (<=.f64 y 1) (neg.f64 x) (*.f64 x y)))
(neg.f64 x)
Outputs
(*.f64 x (+.f64 y -1))
(if (<=.f64 y -1) (*.f64 x y) (if (<=.f64 y 1) (neg.f64 x) (*.f64 x y)))
(if (or (<=.f64 y -1) (not (<=.f64 y 1))) (*.f64 x y) (neg.f64 x))
(neg.f64 x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

soundness218.0ms (12.2%)

Rules
1364×fma-neg
1056×fma-def
720×fma-def
654×div-sub
592×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020174
147148
2121136
3321132
4633132
5861132
6964132
7972132
01521763
13791705
210571689
344151689
Stop Event
1×node limit
1×saturated
Compiler

Compiled 38 to 19 computations (50% saved)

end0.0ms (0%)

preprocess34.0ms (1.9%)

Remove

(negabs x)

Compiler

Compiled 102 to 66 computations (35.3% saved)

Profiling

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