Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

Time bar (total: 2.3s)

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 12 to 9 computations (25% saved)

sample1.1s (48%)

Results
801.0ms5937×body256valid
120.0ms606×body1024valid
85.0ms1049×body256infinite
77.0ms658×body512valid
1.0ms6×body2048valid
Bogosity

preprocess212.0ms (9.3%)

Algorithm
1×egg-herbie
Rules
5896×fma-def
1004×unsub-neg
952×sub-neg
876×fma-neg
702×associate-+l-
Problems
206×No Errors
50×(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Iterations

Useful iterations: 12 (0.0ms)

IterNodesCost
023182
144154
2114154
3424154
41951125
54744125
65705125
75997125
86040125
96055125
106058125
116058125
126058105
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 (neg.f64 x) (*.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 y)))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 (neg.f64 y))))
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(-.f64 1 (*.f64 (-.f64 1 x) y))
(fma.f64 y (+.f64 x -1) 1)
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(-.f64 1 (*.f64 (-.f64 1 x) y))
(fma.f64 y (+.f64 x -1) 1)
(+.f64 (neg.f64 x) (*.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 y)))
(+.f64 (neg.f64 x) (*.f64 (-.f64 1 y) (-.f64 1 (neg.f64 x))))
(-.f64 (*.f64 (-.f64 1 y) (+.f64 x 1)) x)
(+.f64 1 (*.f64 y (-.f64 -1 x)))
(fma.f64 y (-.f64 -1 x) 1)
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 (neg.f64 y))))
(fma.f64 (-.f64 1 x) (+.f64 1 y) x)
(+.f64 1 (*.f64 (-.f64 1 x) y))
(fma.f64 (-.f64 1 x) y 1)
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
(+.f64 y (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) y)
(+.f64 1 (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) 1)
Compiler

Compiled 39 to 27 computations (30.8% saved)

eval1.0ms (0%)

Compiler

Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0.1%)

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

Compiled 18 to 14 computations (22.2% saved)

localize52.0ms (2.3%)

Localize:

Found 1 expressions with local error:

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

Compiled 21 to 14 computations (33.3% saved)

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 (-.f64 1 x) y)
0.0ms
y
@-inf
(*.f64 (-.f64 1 x) y)
0.0ms
y
@0
(*.f64 (-.f64 1 x) y)
0.0ms
y
@inf
(*.f64 (-.f64 1 x) y)
0.0ms
x
@-inf
(*.f64 (-.f64 1 x) y)

rewrite95.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
624×unpow-prod-down
458×log-prod
456×cbrt-prod
455×log1p-expm1-u
455×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110019
2120619
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(*.f64 (-.f64 1 x) y)
Outputs
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (*.f64 (neg.f64 x) y))
(+.f64 0 (*.f64 (-.f64 1 x) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 x) y)) 1)
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (fma.f64 x (+.f64 1 x) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x))
(pow.f64 (*.f64 (-.f64 1 x) y) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 x) y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y))) 2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) y)))
(fma.f64 1 y (*.f64 y (neg.f64 x)))
(fma.f64 1 y (*.f64 (neg.f64 x) y))
(fma.f64 y 1 (*.f64 y (neg.f64 x)))
(fma.f64 y 1 (*.f64 (neg.f64 x) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 x) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))

simplify70.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1674×log-prod
738×associate-*r*
662×associate-*l*
616×fma-neg
402×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031598
12291358
25931358
334581358
470671358
Stop Event
1×node limit
Counts
61 → 56
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1 (*.f64 x y)))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (*.f64 (neg.f64 x) y))
(+.f64 0 (*.f64 (-.f64 1 x) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 x) y)) 1)
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (fma.f64 x (+.f64 1 x) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x))
(pow.f64 (*.f64 (-.f64 1 x) y) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 x) y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y))) 2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) y)))
(fma.f64 1 y (*.f64 y (neg.f64 x)))
(fma.f64 1 y (*.f64 (neg.f64 x) y))
(fma.f64 y 1 (*.f64 y (neg.f64 x)))
(fma.f64 y 1 (*.f64 (neg.f64 x) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 x) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))
Outputs
y
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 x y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(+.f64 y (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(+.f64 0 (*.f64 (-.f64 1 x) y))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 x) y)) 1)
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(/.f64 y (/.f64 (fma.f64 x (+.f64 x 1) 1) (-.f64 1 (pow.f64 x 3))))
(*.f64 y (/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1) 1)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x (+.f64 x 1) 1) y))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 (+.f64 x 1) y))
(*.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))
(*.f64 y (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 x 1)))
(*.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 y (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (fma.f64 x (+.f64 1 x) 1))
(/.f64 y (/.f64 (fma.f64 x (+.f64 x 1) 1) (-.f64 1 (pow.f64 x 3))))
(*.f64 y (/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1) 1)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x (+.f64 x 1) 1) y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x))
(/.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 (+.f64 x 1) y))
(*.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (pow.f64 x 2)))
(*.f64 y (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 x 1)))
(*.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 y (+.f64 x 1)))
(pow.f64 (*.f64 (-.f64 1 x) y) 1)
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 3)
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) 1/2)
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) 1/3)
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) 2)
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 1 x))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(exp.f64 (log.f64 (*.f64 (-.f64 1 x) y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y))) 3))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3)) 1/3))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y))) 2))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) y)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(fma.f64 1 y (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(fma.f64 1 y (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(fma.f64 y 1 (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(fma.f64 y 1 (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) 1) y)
(*.f64 y (-.f64 1 x))

eval14.0ms (0.6%)

Compiler

Compiled 667 to 464 computations (30.4% saved)

prune18.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New53356
Fresh000
Picked011
Done000
Total53457
Accuracy
100.0%
Counts
57 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 1 (+.f64 y (*.f64 (neg.f64 x) y)))
✓100.0%
(-.f64 1 (*.f64 (-.f64 1 x) y))
▶75.1%
(-.f64 1 (*.f64 y (neg.f64 x)))
▶59.9%
(-.f64 1 y)
▶100.0%
(-.f64 1 (+.f64 y (*.f64 (neg.f64 x) y)))
✓100.0%
(-.f64 1 (*.f64 (-.f64 1 x) y))
▶75.1%
(-.f64 1 (*.f64 y (neg.f64 x)))
▶59.9%
(-.f64 1 y)
Compiler

Compiled 64 to 48 computations (25% saved)

localize80.0ms (3.5%)

Compiler

Compiled 46 to 16 computations (65.2% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done011
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 1 (+.f64 y (*.f64 (neg.f64 x) y)))
✓100.0%
(-.f64 1 (*.f64 (-.f64 1 x) y))
✓75.1%
(-.f64 1 (*.f64 y (neg.f64 x)))
✓59.9%
(-.f64 1 y)
Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes18.0ms (0.8%)

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

4 calls:

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

Compiled 57 to 39 computations (31.6% saved)

regimes12.0ms (0.5%)

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

3 calls:

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

Compiled 29 to 21 computations (27.6% saved)

regimes51.0ms (2.2%)

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

3 calls:

24.0ms
y
17.0ms
(-.f64 1 y)
10.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
83.3%7y
83.3%7(-.f64 1 y)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 1 y)
Outputs
(-.f64 1 y)
Calls

3 calls:

3.0ms
(-.f64 1 y)
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
59.9%1y
59.9%1(-.f64 1 y)
59.9%1x
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch39.0ms (1.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.02591877280936344
2.3092149043058208
27.0ms
-444869806217197250.0
-0.8714346289974625
Results
35.0ms272×body256valid
Compiler

Compiled 271 to 216 computations (20.3% saved)

simplify11.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
72×unsub-neg
72×distribute-lft-neg-in
58×cancel-sign-sub-inv
46×neg-mul-1
40×distribute-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027131
158123
297123
3140123
4190123
5223123
6262123
7291123
8301123
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(-.f64 1 (+.f64 y (*.f64 (neg.f64 x) y)))
(-.f64 1 (*.f64 (-.f64 1 x) y))
(if (<=.f64 x -1) (-.f64 1 (*.f64 y (neg.f64 x))) (if (<=.f64 x 1) (-.f64 1 y) (-.f64 1 (*.f64 y (neg.f64 x)))))
(-.f64 1 y)
Outputs
(-.f64 1 (+.f64 y (*.f64 (neg.f64 x) y)))
(-.f64 1 (+.f64 y (*.f64 y (neg.f64 x))))
(-.f64 1 (-.f64 y (*.f64 y x)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 1 (*.f64 (-.f64 1 x) y))
(-.f64 1 (*.f64 y (-.f64 1 x)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(if (<=.f64 x -1) (-.f64 1 (*.f64 y (neg.f64 x))) (if (<=.f64 x 1) (-.f64 1 y) (-.f64 1 (*.f64 y (neg.f64 x)))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (-.f64 1 (*.f64 y (neg.f64 x))) (-.f64 1 y))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 1 (*.f64 y x)) (-.f64 1 y))
(-.f64 1 y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

soundness443.0ms (19.4%)

Rules
5896×fma-def
1674×log-prod
1004×unsub-neg
952×sub-neg
876×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023182
144154
2114154
3424154
41951125
54744125
65705125
75997125
86040125
96055125
106058125
116058125
126058105
01019
110019
2120619
01031598
12291358
25931358
334581358
470671358
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 217 to 141 computations (35% saved)

end0.0ms (0%)

preprocess58.0ms (2.5%)

Compiler

Compiled 112 to 76 computations (32.1% saved)

Profiling

Loading profile data...