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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample542.0ms (12.2%)

Memory

23.1MiB live, 1 039.2MiB allocated

Samples

372.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 161.0ms (93% of total)

ival-true: 5.0ms (2.9% of total)

exact: 4.0ms (2.3% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

preprocess38.0ms (0.9%)

Memory

3.2MiB live, 46.7MiB allocated

Algorithm

2×	egg-herbie

Rules

622×	`unsub-neg`
248×	`associate-r`
198×	`distribute-lft-in`
196×	`distribute-lft-neg-in`
162×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	65	42
2	200	42
3	631	42
4	982	42
5	1433	42
6	1453	42
7	1453	42
8	1455	42
0	6	7
1	13	7
2	28	7
3	45	7
4	45	7
0	45	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(* (* (* x 3) y) y)
(* x (* y (* 3 y)))
(* (* (* (neg x) 3) y) y)
(* x (* y (* y -3)))
(* (* (* x 3) (neg y)) (neg y))
(* x (* y (* 3 y)))
(neg (* (* (* (neg x) 3) y) y))
(* x (* y (* 3 y)))
(neg (* (* (* x 3) (neg y)) (neg y)))
(* x (* y (* y -3)))
(* (* (* y 3) x) x)
(* x (* (* x 3) y))

Symmetry

(abs y)

(negabs x)

explain64.0ms (1.4%)

Memory

7.9MiB live, 164.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
-	-	`y`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-mult: 12.0ms (94.8% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB 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)) y)
✓	cost-diff	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

Rules

62×	`-lowering-.f32`
62×	`-lowering-.f64`
28×	`associate-r`
22×	`*-commutative`
16×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	13	18
2	28	18
3	45	18
4	45	18
0	45	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize20.0ms (0.5%)

Memory

-33.7MiB live, 42.2MiB 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 (*.f64 x #s(literal 3 binary64)) y) y)
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) 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: 5.0ms (97.9% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite159.0ms (3.6%)

Memory

-25.7MiB live, 262.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 096×	`pow-lowering-pow.f64`
2 096×	`pow-lowering-pow.f32`
1 412×	`prod-exp`
1 264×	`-lowering-.f32`
1 264×	`-lowering-.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	13	21
2	30	21
3	54	21
4	70	21
5	142	21
6	440	9
7	2235	9
8	2260	9
9	2383	9
10	3609	9
0	8600	9

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 12

Calls

Call 1

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

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

simplify10.0ms (0.2%)

Memory

-8.4MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Rules

62×	`-lowering-.f32`
62×	`-lowering-.f64`
24×	`associate-l`
20×	`associate-r`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	324
1	18	324
2	33	324
3	44	324
0	44	324

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 21.9MiB live, 21.9MiB allocated
Compiler: Compiled 494 to 21 computations (95.7% saved)

prune5.0ms (0.1%)

Memory

-23.8MiB live, 14.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Accuracy

100.0%

Counts

73 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
▶	35.3%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	99.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
▶	5.2%	(*.f64 x #s(literal 3 binary64))
▶	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify5.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

62×	`-lowering-.f32`
62×	`-lowering-.f64`
30×	`associate-r`
24×	`associate-l`
16×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	23	52
2	39	52
3	48	52
4	48	52
0	48	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize46.0ms (1%)

Memory

-0.1MiB live, 111.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x y))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 y (.f64 x y))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))

Samples

25.0ms

256×

valid

Compiler

Compiled 54 to 12 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 10.0ms (95.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite117.0ms (2.6%)

Memory

5.1MiB live, 203.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 096×	`pow-lowering-pow.f64`
2 096×	`pow-lowering-pow.f32`
1 412×	`prod-exp`
1 264×	`-lowering-.f32`
1 264×	`-lowering-.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	23	45
2	39	45
3	50	45
4	57	45
5	73	45
6	145	45
7	440	21
8	2241	17
9	2266	17
10	2389	17
11	3601	17
0	8527	17

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 26

Calls

Call 1

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

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

simplify17.0ms (0.4%)

Memory

2.4MiB live, 44.9MiB allocated

Algorithm

1×	egg-herbie

Rules

62×	`-lowering-.f32`
62×	`-lowering-.f64`
24×	`associate-l`
20×	`associate-r`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	804
1	18	804
2	33	804
3	44	804
0	44	804

Stop Event

1×	iter limit
1×	saturated

Counts

156 → 156

Calls

Call 1

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

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

eval19.0ms (0.4%)

Memory: 11.6MiB live, 50.8MiB allocated
Compiler: Compiled 1 389 to 34 computations (97.6% saved)

prune6.0ms (0.1%)

Memory

-22.4MiB live, 16.1MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	222	3	225
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	222	8	230

Accuracy

100.0%

Counts

230 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	35.3%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
▶	87.7%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
✓	5.2%	(*.f64 x #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))
▶	35.3%	(.f64 #s(literal 3 binary64) (.f64 y x))
▶	87.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))

Compiler

Compiled 64 to 44 computations (31.3% saved)

simplify5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

62×	`-lowering-.f32`
62×	`-lowering-.f64`
20×	`*-commutative`
20×	`associate-r`
18×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	25	47
2	42	47
3	43	47
0	43	47

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize41.0ms (0.9%)

Memory

-17.9MiB live, 78.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 y y))
✓	accuracy	87.8%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 y x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))
✓	accuracy	87.8%	(.f64 x (.f64 y y))

Samples

27.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 17.0ms (97.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

7 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite114.0ms (2.6%)

Memory

-12.2MiB live, 185.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 096×	`pow-lowering-pow.f64`
2 096×	`pow-lowering-pow.f32`
1 412×	`prod-exp`
1 264×	`-lowering-.f32`
1 264×	`-lowering-.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	27	39
2	51	39
3	68	39
4	140	39
5	438	17
6	2224	13
7	2249	13
8	2372	13
9	3567	13
0	8530	13

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 21

Calls

Call 1

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

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

simplify15.0ms (0.3%)

Memory

-0.9MiB live, 38.3MiB allocated

Algorithm

1×	egg-herbie

Rules

62×	`-lowering-.f32`
62×	`-lowering-.f64`
22×	`associate-r`
20×	`*-commutative`
20×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	744
1	19	744
2	35	744
3	45	744
0	45	744

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

Calls

Call 1

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

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

eval16.0ms (0.4%)

Memory: 2.0MiB live, 40.1MiB allocated
Compiler: Compiled 1 095 to 25 computations (97.7% saved)

prune4.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	178	9	187

Accuracy

100.0%

Counts

187 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	35.3%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
✓	87.7%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
▶	35.3%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	5.2%	(*.f64 x #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))
✓	35.3%	(.f64 #s(literal 3 binary64) (.f64 y x))
✓	87.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))

Compiler

Compiled 71 to 49 computations (31% saved)

simplify4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB 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 x (.f64 #s(literal 3 binary64) y))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	9	11
2	16	11
3	18	11
0	18	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize22.0ms (0.5%)

Memory

-17.5MiB live, 25.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

17.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (86.8% 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

1.9MiB live, 1.9MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (* x (* 3 y))>
#<alt (* 3 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)
0.0ms	y	@	-inf	(* 3 y)
0.0ms	y	@	0	(* 3 y)
0.0ms	x	@	0	(* x (* 3 y))
0.0ms	y	@	-inf	(* x (* 3 y))

rewrite9.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	9	8
2	16	8
3	18	8
0	18	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 8

Calls

Call 1

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

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

simplify6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
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)

eval41.0ms (0.9%)

Memory: -30.6MiB live, 8.5MiB allocated
Compiler: Compiled 222 to 14 computations (93.7% saved)

prune5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	44	9	53

Accuracy

100.0%

Counts

53 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	35.3%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
✓	87.7%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
✓	35.3%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	5.2%	(*.f64 x #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))
✓	35.3%	(.f64 #s(literal 3 binary64) (.f64 y x))
✓	87.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 y y)))

Compiler

Compiled 126 to 69 computations (45.2% saved)

regimes159.0ms (3.6%)

Memory

-13.1MiB live, 24.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

148.0ms	x
4.0ms	y
4.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
99.8%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes13.0ms (0.3%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes14.0ms (0.3%)

Memory

-15.0MiB live, 23.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 14 computations (30% saved)

regimes10.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.7%	1	`x`
87.7%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
87.7%	1	`(*.f64 x #s(literal 3 binary64))`
87.7%	1	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes11.0ms (0.3%)

Memory

-25.7MiB live, 16.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
2.0ms	x
2.0ms	y
2.0ms	(*.f64 x #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
35.3%	1	`y`
35.3%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
35.3%	1	`x`
35.3%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`y`
5.2%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
5.2%	1	`x`
5.2%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify8.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	25	36

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.8s (62.8%)

Memory

4.8MiB live, 165.6MiB allocated

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	23	45
2	39	45
3	50	45
4	57	45
5	73	45
6	145	45
7	440	21
8	2241	17
9	2266	17
10	2389	17
11	3601	17
0	8527	17
0	10	804
1	18	804
2	33	804
3	44	804
0	44	804
0	6	21
1	13	21
2	30	21
3	54	21
4	70	21
5	142	21
6	440	9
7	2235	9
8	2260	9
9	2383	9
10	3609	9
0	8600	9
0	10	324
1	18	324
2	33	324
3	44	324
0	44	324

Stop Event

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

Compiler

Compiled 83 to 44 computations (47% saved)

preprocess70.0ms (1.6%)

Memory

1.6MiB live, 157.4MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 256 to 148 computations (42.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample542.0ms (12.2%)

preprocess38.0ms (0.9%)

explain64.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize20.0ms (0.5%)

series7.0ms (0.2%)

rewrite159.0ms (3.6%)

simplify10.0ms (0.2%)

eval6.0ms (0.1%)

prune5.0ms (0.1%)

simplify5.0ms (0.1%)

localize46.0ms (1%)

series3.0ms (0.1%)

rewrite117.0ms (2.6%)

simplify17.0ms (0.4%)

eval19.0ms (0.4%)

prune6.0ms (0.1%)

simplify5.0ms (0.1%)

localize41.0ms (0.9%)

series3.0ms (0.1%)

rewrite114.0ms (2.6%)

simplify15.0ms (0.3%)

eval16.0ms (0.4%)

prune4.0ms (0.1%)

simplify4.0ms (0.1%)

localize22.0ms (0.5%)

series1.0ms (0%)

rewrite9.0ms (0.2%)

simplify6.0ms (0.1%)

eval41.0ms (0.9%)

prune5.0ms (0.1%)

regimes159.0ms (3.6%)

regimes13.0ms (0.3%)

regimes14.0ms (0.3%)

regimes10.0ms (0.2%)

regimes11.0ms (0.3%)

regimes5.0ms (0.1%)

simplify8.0ms (0.2%)

soundness2.8s (62.8%)

preprocess70.0ms (1.6%)

end0.0ms (0%)

Profiling