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

Time bar (total: 2.2s)

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 12 to 9 computations (25% saved)

sample1.0s (44.8%)

Results
659.0ms5951×body256valid
124.0ms1064×body256infinite
106.0ms558×body1024valid
103.0ms680×body512valid
1.0ms3×body2048valid
Bogosity

preprocess237.0ms (10.5%)

Algorithm
1×egg-herbie
Rules
1320×fma-neg
1138×unsub-neg
1048×sub-neg
864×distribute-lft-out
830×distribute-lft-out--
Problems
187×No Errors
69×(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025270
154222
2164218
3706218
42701175
55027175
66094175
76619175
86869175
97021175
107110175
117230175
127571175
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))))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 y))))
(neg.f64 (+.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 y (+.f64 x -1)))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(+.f64 1 (*.f64 y (+.f64 x -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))))
(fma.f64 (-.f64 1 y) (+.f64 x 1) (neg.f64 x))
(-.f64 (*.f64 (-.f64 1 y) (+.f64 x 1)) x)
(+.f64 1 (*.f64 y (-.f64 -1 x)))
(+.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))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 y))))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 y) (-.f64 1 (neg.f64 x)))))
(-.f64 x (*.f64 (-.f64 1 y) (+.f64 x 1)))
(fma.f64 (+.f64 x 1) (+.f64 y -1) x)
(fma.f64 (-.f64 1 y) (-.f64 -1 x) x)
(+.f64 -1 (*.f64 y (+.f64 x 1)))
(neg.f64 (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 (neg.f64 y)))))
(neg.f64 (fma.f64 (-.f64 1 x) (+.f64 1 y) x))
(fma.f64 (+.f64 1 y) (+.f64 x -1) (neg.f64 x))
(-.f64 -1 (*.f64 (-.f64 1 x) y))
(+.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 1 y)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

eval0.0ms (0%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (0.1%)

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

Compiled 18 to 14 computations (22.2% saved)

localize35.0ms (1.6%)

Localize:

Found 1 expressions with local error:

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

Compiled 22 to 15 computations (31.8% saved)

series4.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 y (+.f64 x -1))
1.0ms
x
@-inf
(*.f64 y (+.f64 x -1))
0.0ms
y
@0
(*.f64 y (+.f64 x -1))
0.0ms
x
@inf
(*.f64 y (+.f64 x -1))
0.0ms
y
@inf
(*.f64 y (+.f64 x -1))

rewrite105.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
694×unpow-prod-down
517×log1p-expm1-u
517×expm1-log1p-u
502×log-prod
450×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110419
2140819
Stop Event
1×node limit
Counts
1 → 53
Calls
Call 1
Inputs
(*.f64 y (+.f64 x -1))
Outputs
(+.f64 (*.f64 y x) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 y x))
(+.f64 0 (*.f64 y (+.f64 x -1)))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (neg.f64 y) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (neg.f64 y) 2) (*.f64 (*.f64 y x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (neg.f64 y) 2)) (-.f64 (*.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) y) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x 1))
(pow.f64 (*.f64 y (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 y (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1)))) 2))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1))))
(fma.f64 y x (neg.f64 y))
(fma.f64 y -1 (*.f64 y x))
(fma.f64 x y (neg.f64 y))
(fma.f64 -1 y (*.f64 y x))
(fma.f64 1 (*.f64 y x) (neg.f64 y))
(fma.f64 1 (neg.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 y))
(fma.f64 (*.f64 y x) 1 (*.f64 (neg.f64 y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) 2) (cbrt.f64 (neg.f64 y)) (*.f64 y x))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 y))

simplify70.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1306×fma-neg
1062×fma-def
654×div-sub
590×cancel-sign-sub-inv
482×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01531763
13781705
210621689
344861689
Stop Event
1×node limit
Counts
77 → 72
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(+.f64 (*.f64 y x) (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 y x))
(+.f64 0 (*.f64 y (+.f64 x -1)))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (neg.f64 y) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (neg.f64 y) 2) (*.f64 (*.f64 y x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (neg.f64 y) 2)) (-.f64 (*.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) y) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x 1))
(pow.f64 (*.f64 y (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 y (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1)))) 2))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1))))
(fma.f64 y x (neg.f64 y))
(fma.f64 y -1 (*.f64 y x))
(fma.f64 x y (neg.f64 y))
(fma.f64 -1 y (*.f64 y x))
(fma.f64 1 (*.f64 y x) (neg.f64 y))
(fma.f64 1 (neg.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 y))
(fma.f64 (*.f64 y x) 1 (*.f64 (neg.f64 y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) 2) (cbrt.f64 (neg.f64 y)) (*.f64 y x))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 y))
Outputs
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 (*.f64 -1 y) (*.f64 x y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 (*.f64 y x) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 (neg.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 0 (*.f64 y (+.f64 x -1)))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (neg.f64 y) 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) y))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1))) 1)
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (neg.f64 y) 2) (*.f64 (*.f64 y x) (neg.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (neg.f64 y) 2) (neg.f64 (*.f64 (*.f64 y x) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y x)))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1 (pow.f64 x 3))) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1 (pow.f64 x 3))) (fma.f64 y y (*.f64 x (*.f64 y (fma.f64 y x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (neg.f64 y) 2)) (-.f64 (*.f64 y x) (neg.f64 y)))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 y (/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 -1 (pow.f64 x 3))))
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) y) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 y (/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 -1 (pow.f64 x 3))))
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(pow.f64 (*.f64 y (+.f64 x -1)) 1)
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1))) 3)
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2) 1/2)
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3) 1/3)
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1))) 2)
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(pow.f64 (E.f64) (log.f64 (*.f64 y (+.f64 x -1))))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 x 1)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 x 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 x 1))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 x 1)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1))))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1))))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1)))) 3))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3)) 1/3))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1)))) 2))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1))))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y -1 (*.f64 y x))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 x y (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 -1 y (*.f64 y x))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 1 (*.f64 y x) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 1 (neg.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1) (*.f64 y x))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1) (*.f64 y x))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (*.f64 y x) 1 (*.f64 (neg.f64 y) 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) 2) (cbrt.f64 (neg.f64 y)) (*.f64 y x))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 y x))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))

eval18.0ms (0.8%)

Compiler

Compiled 930 to 584 computations (37.2% saved)

prune13.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New69372
Fresh000
Picked011
Done000
Total69473
Accuracy
100.0%
Counts
73 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 1 (+.f64 (*.f64 y x) (neg.f64 y)))
✓100.0%
(+.f64 1 (*.f64 y (+.f64 x -1)))
▶75.9%
(+.f64 1 (*.f64 y x))
▶56.9%
(+.f64 1 (neg.f64 y))
▶100.0%
(+.f64 1 (+.f64 (*.f64 y x) (neg.f64 y)))
✓100.0%
(+.f64 1 (*.f64 y (+.f64 x -1)))
▶75.9%
(+.f64 1 (*.f64 y x))
▶56.9%
(+.f64 1 (neg.f64 y))
Compiler

Compiled 64 to 48 computations (25% saved)

localize46.0ms (2%)

Compiler

Compiled 44 to 15 computations (65.9% 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 (*.f64 y x) (neg.f64 y)))
✓100.0%
(+.f64 1 (*.f64 y (+.f64 x -1)))
✓75.9%
(+.f64 1 (*.f64 y x))
✓56.9%
(+.f64 1 (neg.f64 y))
Compiler

Compiled 67 to 46 computations (31.3% saved)

regimes18.0ms (0.8%)

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

4 calls:

5.0ms
y
4.0ms
x
3.0ms
(-.f64 1 y)
3.0ms
(+.f64 x (*.f64 (-.f64 1 x) (-.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 38 computations (33.3% saved)

regimes9.0ms (0.4%)

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

2 calls:

4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes26.0ms (1.1%)

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

2 calls:

16.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
81.7%5y
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
56.9%1y
56.9%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch35.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.36629197981267425
682.2080326021592
20.0ms
-25224724608.32476
-7.957250252784014
Results
29.0ms269×body256valid
0.0ms3×body256infinite
Compiler

Compiled 271 to 216 computations (20.3% saved)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027123
146123
248123
349123
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (*.f64 y x) (neg.f64 y)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(if (<=.f64 x -8) (+.f64 1 (*.f64 y x)) (if (<=.f64 x 1) (+.f64 1 (neg.f64 y)) (+.f64 1 (*.f64 y x))))
(+.f64 1 (neg.f64 y))
Outputs
(+.f64 1 (+.f64 (*.f64 y x) (neg.f64 y)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(if (<=.f64 x -8) (+.f64 1 (*.f64 y x)) (if (<=.f64 x 1) (+.f64 1 (neg.f64 y)) (+.f64 1 (*.f64 y x))))
(if (or (<=.f64 x -8) (not (<=.f64 x 1))) (+.f64 1 (*.f64 y x)) (-.f64 1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

soundness560.0ms (24.9%)

Rules
1320×fma-neg
1306×fma-neg
1306×fma-neg
1138×unsub-neg
1062×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025270
154222
2164218
3706218
42701175
55027175
66094175
76619175
86869175
97021175
107110175
117230175
127571175
01019
110419
2140819
01531763
13781705
210621689
344861689
01531763
13781705
210621689
344861689
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 261 to 171 computations (34.5% saved)

end0.0ms (0%)

preprocess51.0ms (2.3%)

Compiler

Compiled 112 to 76 computations (32.1% saved)

Profiling

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