Metrics for Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample706.0ms (33.9%)

Results

613.0ms	7244×	body	256	valid
80.0ms	1012×	body	256	infinite

Bogosity

preprocess68.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-def`
106×	`associate-r`
92×	`unsub-neg`
76×	`distribute-rgt-in`
66×	`associate-l`

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	38	69
2	89	65
3	245	65
4	569	65
5	830	65
6	894	65
7	982	65

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 (*.f64 x y) x)
(-.f64 (*.f64 (neg.f64 x) y) (neg.f64 x))
(fma.f64 (neg.f64 x) y (neg.f64 (neg.f64 x)))
(fma.f64 x (neg.f64 y) x)
(-.f64 x (*.f64 x y))
(-.f64 (*.f64 x (neg.f64 y)) x)
(fma.f64 x (neg.f64 y) (neg.f64 x))
(neg.f64 (fma.f64 x y x))
(*.f64 x (-.f64 -1 y))
(-.f64 (*.f64 y x) y)
(-.f64 (*.f64 x y) y)

Compiler

Compiled 20 to 9 computations (55% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x y) x)
▶	100.0%	(-.f64 (*.f64 x y) x)

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize19.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (*.f64 x y) x)
0.0ms	y	@	-inf	(-.f64 (*.f64 x y) x)
0.0ms	x	@	0	(-.f64 (*.f64 x y) x)
0.0ms	x	@	-inf	(-.f64 (*.f64 x y) x)
0.0ms	y	@	inf	(-.f64 (*.f64 x y) x)

rewrite252.0ms (12.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`pow1`
1360×	`add-exp-log`
1360×	`log1p-expm1-u`
1360×	`expm1-log1p-u`
1332×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1839	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) x)

Outputs
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (.f64 x y) (.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 x y))
(*.f64 x (-.f64 y 1))
(.f64 (-.f64 (.f64 x y) x) 1)
(.f64 1 (-.f64 (.f64 x y) x))
(.f64 (cbrt.f64 (-.f64 (.f64 x y) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x y) x)) 2) (cbrt.f64 (-.f64 (*.f64 x y) x)))
(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x y x)))
(.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x))) (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x 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 (fma.f64 x y x))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x 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 (fma.f64 x y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x))) (neg.f64 (fma.f64 x y x)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
(pow.f64 (-.f64 (*.f64 x y) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x y) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x y) x)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x y) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 x y) x)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x y) x)))
(fma.f64 x y (neg.f64 x))
(fma.f64 y x (neg.f64 x))
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (neg.f64 x))

simplify105.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1316×	`fma-neg`
1028×	`fma-def`
592×	`distribute-lft-neg-in`
492×	`distribute-rgt-neg-in`
458×	`distribute-frac-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1226
1	280	1146
2	997	1146
3	4458	1036

Stop Event

1×	node limit

Counts

62 → 50

Calls

Call 1

Inputs
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 y))))
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 y))))
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 y))))
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (.f64 x y) (.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 x y))
(*.f64 x (-.f64 y 1))
(.f64 (-.f64 (.f64 x y) x) 1)
(.f64 1 (-.f64 (.f64 x y) x))
(.f64 (cbrt.f64 (-.f64 (.f64 x y) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x y) x)) 2) (cbrt.f64 (-.f64 (*.f64 x y) x)))
(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x y x)))
(.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x))) (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x 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 (fma.f64 x y x))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x 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 (fma.f64 x y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x))) (neg.f64 (fma.f64 x y x)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
(pow.f64 (-.f64 (*.f64 x y) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x y) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x y) x)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x y) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 x y) x)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x y) x)))
(fma.f64 x y (neg.f64 x))
(fma.f64 y x (neg.f64 x))
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (neg.f64 x))

Outputs
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 x y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 x y) (.f64 (neg.f64 x) 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 x) 1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 (neg.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(.f64 (-.f64 (.f64 x y) x) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(.f64 1 (-.f64 (.f64 x y) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(.f64 (cbrt.f64 (-.f64 (.f64 x y) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) 2))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x y) x)) 2) (cbrt.f64 (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 x (+.f64 (*.f64 y (fma.f64 x y x)) x)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x y x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x y x))
(/.f64 (-.f64 x (*.f64 x y)) -1)
(.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x))) (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 x (+.f64 (*.f64 y (fma.f64 x y x)) x)))
(/.f64 1 (/.f64 (fma.f64 x y x) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x y x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x y x))
(/.f64 (-.f64 x (*.f64 x y)) -1)
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x y) 2) (*.f64 x (fma.f64 x y x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 x (+.f64 (*.f64 y (fma.f64 x y x)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x y x))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x y x)))
(/.f64 (-.f64 x (*.f64 x y)) -1)
(/.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 (fma.f64 x y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 x (+.f64 (*.f64 y (fma.f64 x y x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x))) (neg.f64 (fma.f64 x y x)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x y x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x y x))
(/.f64 (-.f64 x (*.f64 x y)) -1)
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 x y) (neg.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 x y x))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 x (+.f64 (*.f64 y (fma.f64 x y x)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x y x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x y x))
(/.f64 (-.f64 x (*.f64 x y)) -1)
(pow.f64 (-.f64 (*.f64 x y) x) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) 3)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(pow.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3) 1/3)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x y) x)) 2)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(log.f64 (exp.f64 (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(exp.f64 (log.f64 (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)

eval32.0ms (1.5%)

Compiler: Compiled 585 to 215 computations (63.2% saved)

prune30.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Accuracy

100.0%

Counts

51 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
▶	100.0%	(*.f64 x (-.f64 y 1))
▶	52.7%	(*.f64 x y)
▶	49.3%	(neg.f64 x)
✓	100.0%	(-.f64 (*.f64 x y) x)
▶	100.0%	(*.f64 x (-.f64 y 1))
▶	52.7%	(*.f64 x y)
▶	49.3%	(neg.f64 x)

Compiler

Compiled 46 to 30 computations (34.8% saved)

localize110.0ms (5.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 y 1))

Compiler

Compiled 22 to 11 computations (50% saved)

series5.0ms (0.3%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (-.f64 y 1))
1.0ms	x	@	inf	(*.f64 x (-.f64 y 1))
1.0ms	y	@	-inf	(*.f64 x (-.f64 y 1))
1.0ms	y	@	inf	(*.f64 x (-.f64 y 1))
1.0ms	x	@	-inf	(*.f64 x (-.f64 y 1))

rewrite147.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`pow1`
1290×	`add-exp-log`
1288×	`log1p-expm1-u`
1288×	`expm1-log1p-u`
1266×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	144	13
2	1793	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(*.f64 x (-.f64 y 1))

Outputs
(+.f64 (.f64 x y) (.f64 x -1))
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))

simplify161.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

1078×	`log-prod`
986×	`fma-def`
652×	`*-commutative`
598×	`associate-r`
540×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	409
1	131	409
2	398	409
3	2414	409
4	5238	409

Stop Event

1×	node limit

Counts

29 → 26

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x -1))
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 x y) (.f64 x -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y y (+.f64 y 1))) (+.f64 -1 (pow.f64 y 3)))
(*.f64 (+.f64 -1 (pow.f64 y 3)) (/.f64 x (fma.f64 y y (+.f64 y 1))))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y y (+.f64 y 1))) (+.f64 -1 (pow.f64 y 3)))
(*.f64 (+.f64 -1 (pow.f64 y 3)) (/.f64 x (fma.f64 y y (+.f64 y 1))))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)

eval22.0ms (1%)

Compiler: Compiled 216 to 140 computations (35.2% saved)

prune16.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	26	4	30

Accuracy

100.0%

Counts

30 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
✓	100.0%	(*.f64 x (-.f64 y 1))
✓	52.7%	(*.f64 x y)
✓	49.3%	(neg.f64 x)

Compiler

Compiled 40 to 23 computations (42.5% saved)

regimes44.0ms (2.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x y)
(*.f64 x (-.f64 y 1))
(-.f64 (*.f64 x y) x)

Outputs
(*.f64 x (-.f64 y 1))

Calls

3 calls:

14.0ms	y
14.0ms	x
13.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 30 to 16 computations (46.7% saved)

regimes159.0ms (7.6%)

Counts

2 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x y)

Outputs
(*.f64 x y)
(neg.f64 x)
(*.f64 x y)

Calls

2 calls:

124.0ms	x
33.0ms	y

Results

Accuracy	Segments	Branch
68.7%	12	`x`
97.8%	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	1	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch24.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.036668248429123126	4.253461037682938
14.0ms	-89443094166.76778	-1.7969690508636008e-8

Results

21.0ms

272×

body

256

valid

Compiler

Compiled 199 to 144 computations (27.6% saved)

simplify17.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
6×	`sub-neg`
6×	`+-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	55
1	31	55
2	36	55
3	42	55

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (-.f64 y 1))
(if (<=.f64 y -1) (.f64 x y) (if (<=.f64 y 1) (neg.f64 x) (.f64 x y)))
(neg.f64 x)

Outputs
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(if (<=.f64 y -1) (.f64 x y) (if (<=.f64 y 1) (neg.f64 x) (.f64 x y)))
(neg.f64 x)

Compiler

Compiled 29 to 18 computations (37.9% saved)

soundness128.0ms (6.2%)

Rules

1316×	`fma-neg`
1028×	`fma-def`
592×	`distribute-lft-neg-in`
492×	`distribute-rgt-neg-in`
458×	`distribute-frac-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1226
1	280	1146
2	997	1146
3	4458	1036

Stop Event

1×	node limit

Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess29.0ms (1.4%)

Compiler: Compiled 64 to 34 computations (46.9% saved)

analyze0.0ms (0%)

sample706.0ms (33.9%)

preprocess68.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.9%)

series2.0ms (0.1%)

rewrite252.0ms (12.1%)

simplify105.0ms (5%)

eval32.0ms (1.5%)

prune30.0ms (1.4%)

localize110.0ms (5.3%)

series5.0ms (0.3%)

rewrite147.0ms (7.1%)

simplify161.0ms (7.7%)

eval22.0ms (1%)

prune16.0ms (0.8%)

regimes44.0ms (2.1%)

regimes159.0ms (7.6%)

regimes6.0ms (0.3%)

bsearch24.0ms (1.2%)

simplify17.0ms (0.8%)

soundness128.0ms (6.2%)

end0.0ms (0%)

preprocess29.0ms (1.4%)

Profiling