Metrics for Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

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 12 to 9 computations (25% saved)

sample792.0ms (35.4%)

Results

499.0ms	5857×	body	256	valid
105.0ms	601×	body	1024	valid
90.0ms	1081×	body	256	infinite
84.0ms	709×	body	512	valid
2.0ms	8×	body	2048	valid

Bogosity

preprocess199.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

5896×	`fma-def`
1004×	`unsub-neg`
934×	`sub-neg`
876×	`fma-neg`
706×	`associate-+l-`

Problems

191×	No Errors
65×	`(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	20	137
1	41	109
2	111	109
3	421	109
4	1951	95
5	4739	95
6	5655	95
7	5941	95
8	5984	95
9	5999	95
10	6002	95
11	6002	95
12	6002	75

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

eval1.0ms (0%)

Compiler: Compiled 23 to 16 computations (30.4% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 1 (*.f64 y (+.f64 x -1)))
▶	100.0%	(+.f64 1 (*.f64 y (+.f64 x -1)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize31.0ms (1.4%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`pow1`
1474×	`add-exp-log`
1474×	`log1p-expm1-u`
1474×	`expm1-log1p-u`
1448×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	153	13
2	1986	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

simplify59.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg`
846×	`div-sub`
632×	`distribute-lft-neg-out`
572×	`associate-+r+`
560×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	710
1	220	688
2	795	676
3	3453	674

Stop Event

1×	node limit

Counts

46 → 37

Calls

Call 1

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

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

eval9.0ms (0.4%)

Compiler: Compiled 466 to 281 computations (39.7% saved)

prune8.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Accuracy

100.0%

Counts

38 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 1 (-.f64 (*.f64 y x) y))
✓	100.0%	(+.f64 1 (*.f64 y (+.f64 x -1)))
▶	71.0%	(+.f64 1 (*.f64 y x))
▶	67.2%	(+.f64 1 (neg.f64 y))
▶	100.0%	(+.f64 1 (-.f64 (*.f64 y x) y))
✓	100.0%	(+.f64 1 (*.f64 y (+.f64 x -1)))
▶	71.0%	(+.f64 1 (*.f64 y x))
▶	67.2%	(+.f64 1 (neg.f64 y))

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize42.0ms (1.9%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 40 to 15 computations (62.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (2.4%)

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 y x) y)

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

simplify61.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1320×	`fma-neg`
1040×	`fma-def`
596×	`distribute-lft-neg-in`
504×	`distribute-rgt-neg-in`
454×	`distribute-frac-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1226
1	284	1146
2	1023	1146
3	4590	1046

Stop Event

1×	node limit

Counts

62 → 48

Calls

Call 1

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

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

eval17.0ms (0.7%)

Compiler: Compiled 635 to 296 computations (53.4% saved)

prune8.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accuracy

100.0%

Counts

52 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 1 (-.f64 (*.f64 y x) y))
✓	100.0%	(+.f64 1 (*.f64 y (+.f64 x -1)))
✓	71.0%	(+.f64 1 (*.f64 y x))
✓	67.2%	(+.f64 1 (neg.f64 y))

Compiler

Compiled 65 to 45 computations (30.8% saved)

regimes18.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
4.0ms	x
4.0ms	(-.f64 1 y)
3.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Results

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

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes229.0ms (10.2%)

Counts

2 → 3

Calls

Call 1

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

Outputs
(+.f64 1 (*.f64 y x))
(+.f64 1 (neg.f64 y))
(+.f64 1 (*.f64 y x))

Calls

2 calls:

208.0ms	x
20.0ms	y

Results

Accuracy	Segments	Branch
98.7%	3	`x`
84.5%	5	`y`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 1 (neg.f64 y))

Outputs
(+.f64 1 (neg.f64 y))

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
67.2%	1	`y`
67.2%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch29.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.600560020839857e-5	0.043569326130354566
15.0ms	-3417.530897549561	-0.05195835842794355

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 271 to 216 computations (20.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`*-commutative`
2×	`unsub-neg`
2×	`sub-neg`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	71
1	38	71
2	40	71
3	41	71

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 1 (*.f64 y (+.f64 x -1)))
(if (<=.f64 x -1) (+.f64 1 (.f64 y x)) (if (<=.f64 x 3098476543630901/72057594037927936) (+.f64 1 (neg.f64 y)) (+.f64 1 (.f64 y x))))
(+.f64 1 (neg.f64 y))

Outputs
(+.f64 1 (*.f64 y (+.f64 x -1)))
(if (<=.f64 x -1) (+.f64 1 (.f64 y x)) (if (<=.f64 x 3098476543630901/72057594037927936) (+.f64 1 (neg.f64 y)) (+.f64 1 (.f64 y x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 3098476543630901/72057594037927936))) (+.f64 1 (*.f64 y x)) (-.f64 1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)

Compiler

Compiled 33 to 25 computations (24.2% saved)

soundness558.0ms (25%)

Rules

5896×	`fma-def`
1004×	`unsub-neg`
934×	`sub-neg`
876×	`fma-neg`
862×	`fma-neg`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	20	137
1	41	109
2	111	109
3	421	109
4	1951	95
5	4739	95
6	5655	95
7	5941	95
8	5984	95
9	5999	95
10	6002	95
11	6002	95
12	6002	75
0	75	710
1	220	688
2	795	676
3	3453	674
0	75	710
1	220	688
2	795	676
3	3453	674

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 204 to 140 computations (31.4% saved)

end0.0ms (0%)

preprocess47.0ms (2.1%)

Compiler: Compiled 98 to 70 computations (28.6% saved)

analyze0.0ms (0%)

sample792.0ms (35.4%)

preprocess199.0ms (8.9%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize31.0ms (1.4%)

series2.0ms (0.1%)

rewrite57.0ms (2.5%)

simplify59.0ms (2.6%)

eval9.0ms (0.4%)

prune8.0ms (0.4%)

localize42.0ms (1.9%)

series2.0ms (0.1%)

rewrite55.0ms (2.4%)

simplify61.0ms (2.7%)

eval17.0ms (0.7%)

prune8.0ms (0.4%)

regimes18.0ms (0.8%)

regimes229.0ms (10.2%)

regimes6.0ms (0.3%)

bsearch29.0ms (1.3%)

simplify6.0ms (0.3%)

soundness558.0ms (25%)

end0.0ms (0%)

preprocess47.0ms (2.1%)

Profiling