Metrics for Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, A

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

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 9 to 8 computations (11.1% saved)

sample1.4s (22.3%)

Memory

-43.8MiB live, 724.0MiB allocated

Samples

955.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 688.0ms

ival-mult: 673.0ms (97.8% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

preprocess117.0ms (1.9%)

Memory

7.8MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Rules

562×	`unsub-neg`
218×	`associate-r`
214×	`distribute-lft-in`
188×	`distribute-lft-neg-in`
136×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	56	35
2	187	35
3	550	35
4	983	35
5	1392	35
6	1406	35
7	1406	35
8	1409	35
0	6	7
0	9	7
1	15	7
2	29	7
3	45	7
4	49	7
0	49	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Outputs
(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x y))

Symmetry

(abs x)

(negabs y)

explain157.0ms (2.5%)

Memory

5.2MiB live, 82.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
37	-	3	(6.1193986866702044e-161 2.139299491562034e+82)	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
0	-	0	-	`y`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(*.f64 x #s(literal 3 binary64))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`	*nu**	18	0
`*.f64`	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`	*no**	16	0

Confusion

	Predicted +	Predicted -
+	34	3
-	0	219

Precision

1.0

Recall

0.918918918918919

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	3
-	0	0	219

Precision?

1.0

Recall?

0.918918918918919

Freqs

test

number	freq
0	222
1	34

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 9.0ms (91.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.2%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	cost-diff	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Rules

62×	`lower-*.f32`
56×	`lower-*.f64`
32×	`associate-r`
24×	`associate-l`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	29	18
3	45	18
4	49	18
0	49	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y

Outputs
(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x y))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 x (.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y

localize39.0ms (0.6%)

Memory

-20.4MiB live, 22.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	accuracy	87.3%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (82.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)>
#<alt (.f64 (.f64 x #s(literal 3 binary64)) x)>
#<alt (*.f64 x #s(literal 3 binary64))>

Outputs
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (* (* x 3) x) y)
1.0ms	x	@	0	(* (* (* x 3) x) y)
1.0ms	x	@	inf	(* (* (* x 3) x) y)
1.0ms	y	@	inf	(* (* (* x 3) x) y)
0.0ms	x	@	inf	(* (* x 3) x)

rewrite129.0ms (2.1%)

Memory

3.0MiB live, 160.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
1 412×	`prod-exp`
1 264×	`lower-*.f32`
1 262×	`lower-*.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	17
1	15	17
2	29	17
3	47	17
4	58	17
5	74	17
6	146	17
7	444	5
8	2255	5
9	2281	5
10	2404	5
11	3620	5
0	8584	5

Stop Event

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

Counts

3 → 6

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))

Outputs
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
#s(literal 3 binary64)

simplify7.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Rules

62×	`lower-*.f64`
62×	`lower-*.f32`
32×	`associate-r`
18×	`associate-l`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	264
1	15	264
2	27	264
3	47	264
4	48	264
0	48	264

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

Outputs
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

eval5.0ms (0.1%)

Memory: 7.4MiB live, 7.4MiB allocated
Compiler: Compiled 362 to 18 computations (95% saved)

prune3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Accuracy

99.9%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.2%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
▶	87.2%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
▶	24.6%	(.f64 (.f64 #s(literal 3 binary64) x) y)
▶	4.8%	(*.f64 y #s(literal 3 binary64))
▶	99.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal 3 binary64) (.f64 x x))
✓	cost-diff	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
✓	cost-diff	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	cost-diff	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(.f64 x (.f64 x y))
✓	cost-diff	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))

Rules

62×	`lower-*.f32`
44×	`lower-*.f64`
18×	`lift-*.f64`
16×	`*-commutative`
16×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
0	21	52
1	33	52
2	44	52
0	44	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
#s(literal 3 binary64)
(.f64 x (.f64 x y))
x
(*.f64 x y)
y
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
(.f64 #s(literal 3 binary64) (.f64 x x))
#s(literal 3 binary64)
(*.f64 x x)
x
y

Outputs
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x x)))
#s(literal 3 binary64)
(.f64 x (.f64 x y))
(.f64 y (.f64 x x))
x
(*.f64 x y)
y
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x x)))
(.f64 #s(literal 3 binary64) (.f64 x x))
#s(literal 3 binary64)
(*.f64 x x)
x
y

localize61.0ms (1%)

Memory

-29.7MiB live, 85.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x x))
✓	accuracy	87.3%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.3%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))

Samples

44.0ms

256×

valid

Compiler

Compiled 54 to 14 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 12.0ms (93.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

9 → 168

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))>
#<alt (.f64 x (.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y #s(literal 3 binary64))>
#<alt (.f64 (.f64 #s(literal 3 binary64) x) y)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x x))>
#<alt (*.f64 x x)>

Outputs
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (* (pow x 2) y))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* 3 (* x (* x y)))
0.0ms	x	@	0	(* (* 3 x) y)
0.0ms	y	@	0	(* (* 3 x) y)
0.0ms	y	@	inf	(* x y)
0.0ms	x	@	inf	(* x x)

rewrite107.0ms (1.7%)

Memory

19.1MiB live, 137.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
1 412×	`prod-exp`
1 264×	`lower-*.f32`
1 258×	`lower-*.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	21	47
1	35	47
2	53	47
3	69	47
4	141	47
5	435	21
6	2256	17
7	2282	17
8	2405	17
9	3616	17
0	8572	17

Stop Event

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

Counts

9 → 26

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(.f64 x (.f64 x y))
(*.f64 x y)
(*.f64 y #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
(.f64 #s(literal 3 binary64) (.f64 x x))
(*.f64 x x)

Outputs
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
y
(*.f64 #s(literal 1 binary64) y)
(*.f64 y #s(literal 1 binary64))
y
(*.f64 #s(literal 1 binary64) y)
(*.f64 y #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
#s(literal 3 binary64)
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
x

simplify11.0ms (0.2%)

Memory

-10.1MiB live, 29.1MiB allocated

Algorithm

1×	egg-herbie

Rules

62×	`lower-*.f64`
62×	`lower-*.f32`
18×	`associate-r`
14×	`*-commutative`
14×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	816
1	22	816
2	32	816
3	36	816
0	36	816

Stop Event

1×	iter limit
1×	saturated

Counts

168 → 168

Calls

Call 1

Inputs
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (* (pow x 2) y))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 x (.f64 #s(literal 3 binary64) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval24.0ms (0.4%)

Memory: -26.2MiB live, 56.7MiB allocated
Compiler: Compiled 1 170 to 29 computations (97.5% saved)

prune4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	193	6	199

Accuracy

99.9%

Counts

199 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.2%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	87.2%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
✓	24.6%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	4.8%	(*.f64 y #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
▶	24.3%	(.f64 #s(literal 3 binary64) (.f64 x y))

Compiler

Compiled 46 to 32 computations (30.4% saved)

simplify5.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x y))

Rules

24×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	18	11
3	20	11
0	20	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y

Outputs
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
(*.f64 x y)
x
y

localize16.0ms (0.3%)

Memory

-1.5MiB live, 37.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.5%	(.f64 #s(literal 3 binary64) (.f64 x y))

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (84% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 3 binary64) (.f64 x y))>
#<alt (*.f64 x y)>

Outputs
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* 3 (* x y))
0.0ms	x	@	inf	(* 3 (* x y))
0.0ms	x	@	-inf	(* 3 (* x y))
0.0ms	y	@	-inf	(* 3 (* x y))
0.0ms	y	@	inf	(* 3 (* x y))

rewrite11.0ms (0.2%)

Memory

-21.0MiB live, 17.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

24×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	11	8
2	18	8
3	20	8
0	20	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

2 → 8

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 x y)

Outputs
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 y (.f64 #s(literal 3 binary64) x))
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 x y)
(*.f64 y x)

simplify5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`lower-*.f64`
24×	`lower-*.f32`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	192
1	9	192
2	16	192
3	18	192
0	18	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval5.0ms (0.1%)

Memory: 19.7MiB live, 19.7MiB allocated
Compiler: Compiled 282 to 14 computations (95% saved)

prune6.0ms (0.1%)

Memory

-24.8MiB live, 17.1MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	55	7	62

Accuracy

99.9%

Counts

62 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.2%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	87.2%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
▶	24.3%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	24.6%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	4.8%	(*.f64 y #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
✓	24.3%	(.f64 #s(literal 3 binary64) (.f64 x y))

Compiler

Compiled 53 to 37 computations (30.2% saved)

simplify5.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) y) x)

Rules

24×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	18	11
3	20	11
0	20	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x

Outputs
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 y (.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x

localize15.0ms (0.2%)

Memory

-2.0MiB live, 37.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) y) x)

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 4.0ms (100.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (.f64 (.f64 #s(literal 3 binary64) y) x)>
#<alt (*.f64 #s(literal 3 binary64) y)>

Outputs
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(* (* 3 y) x)
0.0ms	y	@	-inf	(* (* 3 y) x)
0.0ms	y	@	0	(* (* 3 y) x)
0.0ms	x	@	-inf	(* (* 3 y) x)
0.0ms	x	@	inf	(* (* 3 y) x)

rewrite10.0ms (0.2%)

Memory

-20.4MiB live, 18.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

24×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	11	8
2	18	8
3	20	8
0	20	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

2 → 8

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)

Outputs
(.f64 #s(literal 3 binary64) (.f64 y x))
(.f64 y (.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 y x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))

simplify4.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`lower-*.f64`
24×	`lower-*.f32`
10×	`*-commutative`
4×	`associate-r`
4×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	156
1	11	156
2	16	156
0	16	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)

Outputs
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)

eval4.0ms (0.1%)

Memory: 13.6MiB live, 13.6MiB allocated
Compiler: Compiled 222 to 16 computations (92.8% saved)

prune5.0ms (0.1%)

Memory

-26.1MiB live, 13.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	44	7	51

Accuracy

99.9%

Counts

51 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.2%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	87.2%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
✓	24.3%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	24.6%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	4.8%	(*.f64 y #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
✓	24.3%	(.f64 #s(literal 3 binary64) (.f64 x y))

Compiler

Compiled 94 to 55 computations (41.5% saved)

regimes14.0ms (0.2%)

Memory

-3.2MiB live, 38.0MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 y #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Outputs
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))

Calls

4 calls:

4.0ms	x
3.0ms	y
3.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
3.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
99.7%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.1%)

Memory

30.1MiB live, 30.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 y #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 (.f64 #s(literal 3 binary64) y) x)

Outputs
(.f64 (.f64 #s(literal 3 binary64) x) y)

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
2.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Results

Accuracy	Segments	Branch
24.6%	1	`x`
24.6%	1	`y`
24.6%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
24.6%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes7.0ms (0.1%)

Memory

-15.4MiB live, 24.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 y #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x y))

Outputs
(.f64 #s(literal 3 binary64) (.f64 x y))

Calls

4 calls:

2.0ms	x
2.0ms	y
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
1.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Results

Accuracy	Segments	Branch
24.3%	1	`y`
24.3%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
24.3%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
24.3%	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y #s(literal 3 binary64))

Outputs
(*.f64 y #s(literal 3 binary64))

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
1.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Results

Accuracy	Segments	Branch
4.8%	1	`y`
4.8%	1	`x`
4.8%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
4.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify7.0ms (0.1%)

Memory

-21.1MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	17	20

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 y #s(literal 3 binary64))

Outputs
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 y (.f64 #s(literal 3 binary64) x))
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)

soundness4.0s (63.5%)

Memory

-14.4MiB live, 189.8MiB allocated

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
1 412×	`prod-exp`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	9	264
1	15	264
2	27	264
3	47	264
4	48	264
0	48	264
0	12	41
0	21	47
1	35	47
2	53	47
3	69	47
4	141	47
5	435	21
6	2256	17
7	2282	17
8	2405	17
9	3616	17
0	8572	17
0	6	15
0	9	17
1	15	17
2	29	17
3	47	17
4	58	17
5	74	17
6	146	17
7	444	5
8	2255	5
9	2281	5
10	2404	5
11	3620	5
0	8584	5

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	saturated

Compiler

Compiled 40 to 22 computations (45% saved)

preprocess65.0ms (1%)

Memory

2.4MiB live, 157.9MiB allocated

Remove

(negabs y)

(abs x)

Compiler

Compiled 188 to 116 computations (38.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.4s (22.3%)

preprocess117.0ms (1.9%)

explain157.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize39.0ms (0.6%)

series5.0ms (0.1%)

rewrite129.0ms (2.1%)

simplify7.0ms (0.1%)

eval5.0ms (0.1%)

prune3.0ms (0%)

simplify6.0ms (0.1%)

localize61.0ms (1%)

series6.0ms (0.1%)

rewrite107.0ms (1.7%)

simplify11.0ms (0.2%)

eval24.0ms (0.4%)

prune4.0ms (0.1%)

simplify5.0ms (0.1%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite11.0ms (0.2%)

simplify5.0ms (0.1%)

eval5.0ms (0.1%)

prune6.0ms (0.1%)

simplify5.0ms (0.1%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite10.0ms (0.2%)

simplify4.0ms (0.1%)

eval4.0ms (0.1%)

prune5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify7.0ms (0.1%)

soundness4.0s (63.5%)

preprocess65.0ms (1%)

end0.0ms (0%)

Profiling