Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

Details

Time bar (total: 1.6s)

analyze0.0ms (0%)

Algorithm
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 13 to 9 computations (30.8% saved)

sample917.0ms (56.2%)

Results
726.0ms7254×body256valid
127.0ms1002×body256infinite
Bogosity

preprocess14.0ms (0.9%)

Algorithm
egg-herbie
Rules
44×fma-def
38×+-commutative
24×associate-+r+
24×associate-+l+
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021100
14284
28484
310084
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)
Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 z (+.f64 (*.f64 x y) (/.f64 y 2)))
(+.f64 z (fma.f64 x y (/.f64 y 2)))
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 x (+.f64 (/.f64 z 2) (*.f64 y z)))
(+.f64 x (fma.f64 y z (/.f64 z 2)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x z) y))
(+.f64 (/.f64 x 2) (fma.f64 x z y))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify34.0ms (2.1%)

Algorithm
egg-herbie
Rules
12×fma-def
10×+-commutative
associate-+r+
associate-+l+
*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
11521
22721
33121
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))

eval1.0ms (0%)

Compiler

Compiled 29 to 17 computations (41.4% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New123
Fresh101
Picked000
Done000
Total224
Accurracy
100.0%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 x 2) (fma.f64 x y z))
100.0%
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize33.0ms (2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 x y) z)
Compiler

Compiled 28 to 12 computations (57.1% saved)

series2.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite87.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
1628×pow1
1502×add-exp-log
1502×log1p-expm1-u
1502×expm1-log1p-u
1472×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11509
220409
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) z)
Outputs
(-.f64 (+.f64 1 (fma.f64 x y z)) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))))
(*.f64 (fma.f64 x y z) 1)
(*.f64 1 (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x y (neg.f64 z))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 y (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (fma.f64 x y (neg.f64 z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (fma.f64 x y (neg.f64 z))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y)))
(pow.f64 (fma.f64 x y z) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)
(pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y z)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y z) 2))
(log.f64 (exp.f64 (fma.f64 x y z)))
(cbrt.f64 (pow.f64 (fma.f64 x y z) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 1 (*.f64 x y) z)
(fma.f64 1 z (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)

simplify83.0ms (5.1%)

Algorithm
egg-herbie
Rules
1374×fma-neg
946×associate-*r*
924×associate-*l*
696×div-sub
636×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091917
1219867
2718867
34536867
Stop Event
node limit
Counts
71 → 41
Calls
Call 1
Inputs
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 (fma.f64 x y z)) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))))
(*.f64 (fma.f64 x y z) 1)
(*.f64 1 (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x y (neg.f64 z))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 y (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (fma.f64 x y (neg.f64 z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (fma.f64 x y (neg.f64 z))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y)))
(pow.f64 (fma.f64 x y z) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)
(pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y z)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y z) 2))
(log.f64 (exp.f64 (fma.f64 x y z)))
(cbrt.f64 (pow.f64 (fma.f64 x y z) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 1 (*.f64 x y) z)
(fma.f64 1 z (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
Outputs
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(-.f64 (+.f64 1 (fma.f64 x y z)) 1)
(fma.f64 y x z)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))))
(fma.f64 y x z)
(*.f64 (fma.f64 x y z) 1)
(fma.f64 y x z)
(*.f64 1 (fma.f64 x y z))
(fma.f64 y x z)
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2))
(fma.f64 y x z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x y (neg.f64 z))))
(fma.f64 y x z)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))
(/.f64 1 (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))))
(fma.f64 y x z)
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 y (*.f64 x z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (fma.f64 x y (neg.f64 z)))
(fma.f64 y x z)
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (fma.f64 x y (neg.f64 z))))
(fma.f64 y x z)
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y)))
(fma.f64 y x z)
(pow.f64 (fma.f64 x y z) 1)
(fma.f64 y x z)
(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)
(fma.f64 y x z)
(pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3)
(fma.f64 y x z)
(pow.f64 (sqrt.f64 (fma.f64 x y z)) 2)
(fma.f64 y x z)
(sqrt.f64 (pow.f64 (fma.f64 x y z) 2))
(fma.f64 y x z)
(log.f64 (exp.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(cbrt.f64 (pow.f64 (fma.f64 x y z) 3))
(fma.f64 y x z)
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(exp.f64 (log.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 y x z)
(fma.f64 1 (*.f64 x y) z)
(fma.f64 y x z)
(fma.f64 1 z (*.f64 x y))
(fma.f64 y x z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x y))
(fma.f64 y x z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 y x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 y x z)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 y x z)

localize30.0ms (1.8%)

Compiler

Compiled 23 to 11 computations (52.2% saved)

eval9.0ms (0.6%)

Compiler

Compiled 653 to 309 computations (52.7% saved)

prune30.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New39241
Fresh000
Picked011
Done011
Total39443
Accurracy
100.0%
Counts
43 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 x 2) (fma.f64 x y z))
100.0%
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
62.6%
(+.f64 (/.f64 x 2) (*.f64 y x))
66.2%
(+.f64 (/.f64 x 2) z)
Compiler

Compiled 41 to 28 computations (31.7% saved)

localize60.0ms (3.7%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize28.0ms (1.7%)

Compiler

Compiled 20 to 11 computations (45% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Accurracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 x 2) (fma.f64 x y z))
100.0%
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
62.6%
(+.f64 (/.f64 x 2) (*.f64 y x))
66.2%
(+.f64 (/.f64 x 2) z)
Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes23.0ms (1.4%)

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

5 calls:

5.0ms
(+.f64 (/.f64 x 2) (*.f64 y x))
5.0ms
z
4.0ms
x
4.0ms
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
100.0%1(+.f64 (/.f64 x 2) (*.f64 y x))
Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes30.0ms (1.8%)

Counts
4 → 1
Calls
Call 1
Inputs
(+.f64 (/.f64 x 2) z)
(+.f64 (/.f64 x 2) (*.f64 y x))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
Calls

5 calls:

12.0ms
z
4.0ms
(+.f64 (/.f64 x 2) (*.f64 y x))
4.0ms
x
4.0ms
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
100.0%1(+.f64 (/.f64 x 2) (*.f64 y x))
Compiler

Compiled 67 to 43 computations (35.8% saved)

regimes85.0ms (5.2%)

Accuracy

Total -37.6b remaining (-531.6%)

Threshold costs -37.6b (-531.6%)

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

4 calls:

39.0ms
x
17.0ms
y
14.0ms
(+.f64 (/.f64 x 2) (*.f64 y x))
14.0ms
z
Results
AccuracySegmentsBranch
81.7%3x
88.9%5y
83.4%5z
88.8%5(+.f64 (/.f64 x 2) (*.f64 y x))
Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch85.0ms (5.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
2.643641726435149e+40
3.038928786460718e+44
18.0ms
-1.9471002855106665e-11
-8.283391033349674e-35
16.0ms
-2.145947593452314e+46
-2.7697802237173713e+42
14.0ms
-5.500753749183611e+77
-8.46120549621656e+72
Results
74.0ms522×body256valid
4.0ms38×body256infinite
Compiler

Compiled 718 to 538 computations (25.1% saved)

simplify12.0ms (0.7%)

Algorithm
egg-herbie
Rules
not-or
+-commutative
not-not
if-if-or-not
if-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029166
139160
242148
348144
452144
556144
657144
758144
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(if (<=.f64 y -8500000000000000405032824603505836118894292735252769282518787460234739712) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 y -1750000000000000114759743335730227415510679552) (+.f64 (/.f64 x 2) z) (if (<=.f64 y -1470053796651389/77371252455336267181195264) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 y 50000000000000004410680702653211320350932992) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (*.f64 y x))))))
(+.f64 (/.f64 x 2) z)
Outputs
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y)))
(if (<=.f64 y -8500000000000000405032824603505836118894292735252769282518787460234739712) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 y -1750000000000000114759743335730227415510679552) (+.f64 (/.f64 x 2) z) (if (<=.f64 y -1470053796651389/77371252455336267181195264) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 y 50000000000000004410680702653211320350932992) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (*.f64 y x))))))
(if (<=.f64 y -8500000000000000405032824603505836118894292735252769282518787460234739712) (+.f64 (/.f64 x 2) (*.f64 x y)) (if (<=.f64 y -1750000000000000114759743335730227415510679552) (+.f64 (/.f64 x 2) z) (if (or (<=.f64 y -1470053796651389/77371252455336267181195264) (not (<=.f64 y 50000000000000004410680702653211320350932992))) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z))))
(if (<=.f64 y -8500000000000000405032824603505836118894292735252769282518787460234739712) (+.f64 (/.f64 x 2) (*.f64 x y)) (if (or (<=.f64 y -1750000000000000114759743335730227415510679552) (not (or (<=.f64 y -1470053796651389/77371252455336267181195264) (not (<=.f64 y 50000000000000004410680702653211320350932992))))) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (*.f64 x y))))
(if (or (<=.f64 y -8500000000000000405032824603505836118894292735252769282518787460234739712) (not (or (<=.f64 y -1750000000000000114759743335730227415510679552) (not (or (<=.f64 y -1470053796651389/77371252455336267181195264) (not (<=.f64 y 50000000000000004410680702653211320350932992))))))) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z))
(if (or (<=.f64 y -8500000000000000405032824603505836118894292735252769282518787460234739712) (not (or (<=.f64 y -1750000000000000114759743335730227415510679552) (and (not (<=.f64 y -1470053796651389/77371252455336267181195264)) (<=.f64 y 50000000000000004410680702653211320350932992))))) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z))
(+.f64 (/.f64 x 2) z)
Compiler

Compiled 64 to 45 computations (29.7% saved)

soundness18.0ms (1.1%)

Rules
12×fma-def
12×fma-def
10×+-commutative
10×+-commutative
associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
11521
22721
33121
01025
11521
22721
33121
Stop Event
saturated
saturated
Compiler

Compiled 68 to 38 computations (44.1% saved)

end46.0ms (2.8%)

Compiler

Compiled 134 to 86 computations (35.8% saved)

Profiling

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