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

Time bar (total: 1.3s)

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 8 to 5 computations (37.5% saved)

sample815.0ms (62.3%)

Results
804.0ms8248×body256valid
1.0ms8×body256infinite
Bogosity

preprocess16.0ms (1.3%)

Algorithm
2×egg-herbie
Rules
8×fma-def
8×associate-+l+
6×+-commutative
4×associate-+r+
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
11326
21926
32218
42718
52918
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 (+.f64 x 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 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 9 to 6 computations (33.3% saved)

simplify13.0ms (1%)

Algorithm
1×egg-herbie
Rules
4×fma-def
4×associate-+l+
4×+-commutative
2×associate-+r+
2×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0613
1913
21213
3149
4179
5189
Stop Event
1×saturated
Counts
1 → 4
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) x)
Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 x 2 y)

eval1.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New224
Fresh011
Picked000
Done000
Total235
Accurracy
100.0%
Counts
5 → 2
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)

localize46.0ms (3.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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)

rewrite58.0ms (4.4%)

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)

simplify63.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
1760×fma-neg
1118×div-sub
872×associate-*r*
826×associate-*l*
556×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0881007
1228867
2772765
35447765
Stop Event
1×node limit
Counts
57 → 44
Calls
Call 1
Inputs
y
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(*.f64 2 x)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(*.f64 2 x)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(*.f64 2 x)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
y
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
y
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(-.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 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
y
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
y
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(-.f64 (+.f64 1 (+.f64 x (+.f64 x y))) 1)
(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)
(fma.f64 2 x y)
(*.f64 1 (+.f64 x (+.f64 x y)))
(fma.f64 2 x y)
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
(fma.f64 2 x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(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 (-.f64 x x) y))))
(/.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 (-.f64 x x) y))))
(/.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 (-.f64 x x) y))))
(/.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 (-.f64 x x) y))))
(/.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 (-.f64 x x) y))))
(/.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)
(fma.f64 2 x y)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3)
(fma.f64 2 x y)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3)
(fma.f64 2 x y)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2)
(fma.f64 2 x y)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2))
(fma.f64 2 x y)
(log.f64 (exp.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
(fma.f64 2 x y)
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(fma.f64 1 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 1 (+.f64 x y) x)
(fma.f64 2 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x)
(fma.f64 2 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)
(fma.f64 2 x y)

eval8.0ms (0.6%)

Compiler

Compiled 535 to 207 computations (61.3% saved)

prune8.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New41344
Fresh000
Picked202
Done000
Total43346
Accurracy
100.0%
Counts
46 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (*.f64 2 x) y)
▶50.0%
(+.f64 x x)
51.3%
y
▶100.0%
(+.f64 (*.f64 2 x) y)
▶50.0%
(+.f64 x x)
51.3%
y
Compiler

Compiled 30 to 20 computations (33.3% saved)

localize28.0ms (2.2%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked022
Done000
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 2 x) y)
✓50.0%
(+.f64 x x)
51.3%
y
✓100.0%
(+.f64 (*.f64 2 x) y)
✓50.0%
(+.f64 x x)
51.3%
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 (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 2 x) y)
✓50.0%
(+.f64 x x)
51.3%
y
✓100.0%
(+.f64 (*.f64 2 x) y)
✓50.0%
(+.f64 x x)
51.3%
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
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 2 x) y)
✓50.0%
(+.f64 x x)
51.3%
y
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes14.0ms (1.1%)

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

regimes43.0ms (3.3%)

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

2 calls:

25.0ms
y
17.0ms
x
Results
AccuracySegmentsBranch
78.3%5x
79.1%7y
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.5%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
51.3%1y
51.3%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch43.0ms (3.3%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
5.250533302515675e+68
6.3200792880852054e+69
10.0ms
5.007853395731566e+29
9.975571143855091e+30
14.0ms
2.985139958665515e-22
5.751442846556949e-12
11.0ms
-1.2984981503725995e+30
-9.037958698119125e+27
Results
38.0ms480×body256valid
Compiler

Compiled 312 to 218 computations (30.1% saved)

simplify7.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02373
13073
23373
33973
44373
54773
64873
74973
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 2 x) y)
(if (<=.f64 x -9599999999999999907658203136) (+.f64 x x) (if (<=.f64 x 3486039150627631/1267650600228229401496703205376) y (if (<=.f64 x 3199999999999999725860827430912) (+.f64 x x) (if (<=.f64 x 1000000000000000072531436381529235126158374409646521955518210155479040) y (+.f64 x x)))))
y
Outputs
(+.f64 (*.f64 2 x) y)
(if (<=.f64 x -9599999999999999907658203136) (+.f64 x x) (if (<=.f64 x 3486039150627631/1267650600228229401496703205376) y (if (<=.f64 x 3199999999999999725860827430912) (+.f64 x x) (if (<=.f64 x 1000000000000000072531436381529235126158374409646521955518210155479040) y (+.f64 x x)))))
y
Compiler

Compiled 39 to 22 computations (43.6% saved)

soundness88.0ms (6.7%)

Rules
1760×fma-neg
1118×div-sub
872×associate-*r*
826×associate-*l*
556×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0881007
1228867
2772765
35447765
Stop Event
1×node limit
Compiler

Compiled 8 to 5 computations (37.5% saved)

end40.0ms (3.1%)

Compiler

Compiled 98 to 54 computations (44.9% saved)

Profiling

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