Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A

Time bar (total: 1.7s)

analyze1.0ms (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)

sample1.1s (63.7%)

Results
1.1s8253×body256valid
0.0ms3×body256infinite
Bogosity

preprocess43.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
556×fma-def
94×sub-neg
88×associate-+l-
74×fma-neg
74×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01569
13365
26665
313449
427549
541449
670749
784449
889149
990149
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)
(+.f64 (+.f64 y x) y)
Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 x 2 y)
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 x 2 y)
(+.f64 (+.f64 (neg.f64 x) y) (neg.f64 x))
(-.f64 (+.f64 y (neg.f64 x)) x)
(-.f64 (-.f64 y x) x)
(+.f64 y (*.f64 x -2))
(fma.f64 x -2 y)
(+.f64 (+.f64 x (neg.f64 y)) x)
(+.f64 x (-.f64 x y))
(+.f64 (+.f64 y x) y)
(+.f64 y (+.f64 x y))
(+.f64 x (+.f64 y y))
(fma.f64 2 y x)
(fma.f64 y 2 x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x 2 y)
▶100.0%
(+.f64 (+.f64 x y) x)
▶100.0%
(fma.f64 x 2 y)
▶100.0%
(+.f64 (+.f64 x y) x)
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize42.0ms (2.4%)

Localize:

Found 1 expressions with local error:

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

Compiled 20 to 8 computations (60% saved)

series1.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite72.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
1718×pow1
1600×add-exp-log
1600×log1p-expm1-u
1600×expm1-log1p-u
1572×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113913
2211713
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) x)
Outputs
(-.f64 (+.f64 1 (+.f64 x (+.f64 x y))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 y x))))
(*.f64 (+.f64 x (+.f64 x y)) 1)
(*.f64 1 (+.f64 x (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 y x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))) (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))))
(/.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 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x y) 2)) (-.f64 x (+.f64 x y)))
(pow.f64 (+.f64 x (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(fma.f64 1 x (+.f64 x y))
(fma.f64 1 (+.f64 x y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)

simplify72.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
1760×fma-neg
1116×div-sub
876×associate-*r*
822×associate-*l*
556×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0881167
1227867
2772765
35456765
Stop Event
1×node limit
Counts
57 → 44
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
(*.f64 2 x)
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
(*.f64 2 x)
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
(*.f64 2 x)
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
y
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
y
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
(+.f64 y (*.f64 2 x))
(-.f64 (+.f64 1 (+.f64 x (+.f64 x y))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 y x))))
(*.f64 (+.f64 x (+.f64 x y)) 1)
(*.f64 1 (+.f64 x (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 y x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))) (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))))
(/.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 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x y) 2)) (-.f64 x (+.f64 x y)))
(pow.f64 (+.f64 x (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(fma.f64 1 x (+.f64 x y))
(fma.f64 1 (+.f64 x y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)
Outputs
y
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
y
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
y
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(-.f64 (+.f64 1 (+.f64 x (+.f64 x y))) 1)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(*.f64 (+.f64 x (+.f64 x y)) 1)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(*.f64 1 (+.f64 x (+.f64 x y)))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y))))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(*.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))) (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y 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 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x y) 2)) (-.f64 x (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(pow.f64 (+.f64 x (+.f64 x y)) 1)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(log.f64 (exp.f64 (+.f64 x (+.f64 x y))))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(fma.f64 1 x (+.f64 x y))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(fma.f64 1 (+.f64 x y) x)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)
(+.f64 y (*.f64 2 x))
(fma.f64 2 x y)

eval11.0ms (0.6%)

Compiler

Compiled 535 to 206 computations (61.5% saved)

prune7.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New41344
Fresh000
Picked202
Done000
Total43346
Accuracy
100.0%
Counts
46 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 y (*.f64 2 x))
▶49.1%
(+.f64 x x)
53.3%
y
▶100.0%
(+.f64 y (*.f64 2 x))
▶49.1%
(+.f64 x x)
53.3%
y
Compiler

Compiled 30 to 20 computations (33.3% saved)

localize30.0ms (1.8%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune8.0ms (0.5%)

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 y (*.f64 2 x))
✓49.1%
(+.f64 x x)
53.3%
y
✓100.0%
(+.f64 y (*.f64 2 x))
✓49.1%
(+.f64 x x)
53.3%
y
Compiler

Compiled 30 to 20 computations (33.3% 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 y (*.f64 2 x))
✓49.1%
(+.f64 x x)
53.3%
y
✓100.0%
(+.f64 y (*.f64 2 x))
✓49.1%
(+.f64 x x)
53.3%
y
Compiler

Compiled 30 to 20 computations (33.3% 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 y (*.f64 2 x))
✓49.1%
(+.f64 x x)
53.3%
y
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes15.0ms (0.9%)

Counts
5 → 1
Calls
Call 1
Inputs
y
(+.f64 x x)
(+.f64 y (*.f64 2 x))
(+.f64 (+.f64 x y) x)
(fma.f64 x 2 y)
Outputs
(+.f64 y (*.f64 2 x))
Calls

3 calls:

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

Compiled 33 to 18 computations (45.5% saved)

regimes36.0ms (2.1%)

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

2 calls:

23.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
83.0%3x
75.1%3y
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes78.0ms (4.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

2 calls:

66.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
53.3%1y
53.3%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch55.0ms (3.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.4687653576550862e-29
5.666394050718007e-28
43.0ms
-1.653950024572316e+31
-2166436503382072000.0
Results
49.0ms272×body256valid
Compiler

Compiled 182 to 127 computations (30.2% saved)

simplify5.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01747
12447
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 y (*.f64 2 x))
(if (<=.f64 x -16000000000000000000) (+.f64 x x) (if (<=.f64 x 7916764545478371/22300745198530623141535718272648361505980416) y (+.f64 x x)))
y
Outputs
(+.f64 y (*.f64 2 x))
(if (<=.f64 x -16000000000000000000) (+.f64 x x) (if (<=.f64 x 7916764545478371/22300745198530623141535718272648361505980416) y (+.f64 x x)))
y
Compiler

Compiled 27 to 16 computations (40.7% saved)

soundness101.0ms (5.9%)

Rules
1760×fma-neg
1116×div-sub
876×associate-*r*
822×associate-*l*
556×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0881167
1227867
2772765
35456765
Stop Event
1×node limit
Compiler

Compiled 8 to 5 computations (37.5% saved)

end0.0ms (0%)

preprocess40.0ms (2.3%)

Compiler

Compiled 74 to 42 computations (43.2% saved)

Profiling

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