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)

sample1.1s (64.1%)

Results

989.0ms	7277×	body	256	valid
125.0ms	979×	body	256	infinite

Bogosity

preprocess38.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

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 7 to 4 computations (42.9% 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)

localize21.0ms (1.2%)

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	@	0	(-.f64 (*.f64 x y) x)

rewrite60.0ms (3.4%)

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))

simplify64.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1332×	`fma-neg`
1014×	`fma-def`
606×	`distribute-lft-neg-in`
504×	`distribute-rgt-neg-in`
456×	`distribute-frac-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1226
1	277	1146
2	1023	1146
3	4628	1046

Stop Event

1×	node limit

Counts

62 → 51

Calls

Call 1

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

eval9.0ms (0.5%)

Compiler: Compiled 595 to 218 computations (63.4% saved)

prune15.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Accuracy

100.0%

Counts

52 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
▶	100.0%	(*.f64 (-.f64 y 1) x)
▶	51.3%	(*.f64 y x)
▶	49.6%	(neg.f64 x)
✓	100.0%	(-.f64 (*.f64 x y) x)
▶	100.0%	(*.f64 (-.f64 y 1) x)
▶	51.3%	(*.f64 y x)
▶	49.6%	(neg.f64 x)

Compiler

Compiled 46 to 30 computations (34.8% saved)

localize32.0ms (1.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 11 computations (50% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (-.f64 y 1) x)
0.0ms	x	@	inf	(*.f64 (-.f64 y 1) x)
0.0ms	y	@	inf	(*.f64 (-.f64 y 1) x)
0.0ms	y	@	-inf	(*.f64 (-.f64 y 1) x)
0.0ms	x	@	0	(*.f64 (-.f64 y 1) x)

rewrite55.0ms (3.1%)

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 (-.f64 y 1) x)

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

simplify71.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1074×	`log-prod`
986×	`fma-def`
676×	`*-commutative`
600×	`associate-r`
530×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	409
1	125	409
2	389	409
3	2389	409
4	5239	409

Stop Event

1×	node limit

Counts

29 → 26

Calls

Call 1

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

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

eval5.0ms (0.3%)

Compiler: Compiled 212 to 137 computations (35.4% saved)

prune6.0ms (0.3%)

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 (-.f64 y 1) x)
✓	51.3%	(*.f64 y x)
✓	49.6%	(neg.f64 x)

Compiler

Compiled 40 to 24 computations (40% saved)

regimes14.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	y
4.0ms	(-.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 17 computations (43.3% saved)

regimes8.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes50.0ms (2.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
66.1%	10	`x`
96.9%	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.4%)

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
49.6%	1	`x`
49.6%	1	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch28.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.6547506592471841	29.0786005649017
17.0ms	-2259981.653453151	-0.014517538994589237

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 188 to 136 computations (27.7% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68
1	35	68
2	41	68
3	47	68

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 36 to 22 computations (38.9% saved)

soundness108.0ms (6.1%)

Rules

1332×	`fma-neg`
1014×	`fma-def`
606×	`distribute-lft-neg-in`
504×	`distribute-rgt-neg-in`
456×	`distribute-frac-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1226
1	277	1146
2	1023	1146
3	4628	1046

Stop Event

1×	node limit

Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess30.0ms (1.7%)

Compiler: Compiled 74 to 36 computations (51.4% saved)

analyze0.0ms (0%)

sample1.1s (64.1%)

preprocess38.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize21.0ms (1.2%)

series2.0ms (0.1%)

rewrite60.0ms (3.4%)

simplify64.0ms (3.7%)

eval9.0ms (0.5%)

prune15.0ms (0.9%)

localize32.0ms (1.8%)

series2.0ms (0.1%)

rewrite55.0ms (3.1%)

simplify71.0ms (4%)

eval5.0ms (0.3%)

prune6.0ms (0.3%)

regimes14.0ms (0.8%)

regimes8.0ms (0.5%)

regimes50.0ms (2.8%)

regimes6.0ms (0.4%)

bsearch28.0ms (1.6%)

simplify6.0ms (0.3%)

soundness108.0ms (6.1%)

end0.0ms (0%)

preprocess30.0ms (1.7%)

Profiling