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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample875.0ms (15.8%)

Memory

-25.8MiB live, 887.4MiB allocated

Samples

696.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-mult: 357.0ms (96.4% of total)

ival-true: 6.0ms (1.6% of total)

exact: 4.0ms (1.1% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess41.0ms (0.7%)

Memory

-25.4MiB live, 34.2MiB 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)

explain90.0ms (1.6%)

Memory

26.3MiB live, 103.2MiB 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

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 (94.1% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

-25.6MiB live, 11.3MiB 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

localize23.0ms (0.4%)

Memory

-5.3MiB live, 37.4MiB 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

14.0ms

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 (83.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB 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	@	inf	(* (* x 3) y)
1.0ms	x	@	0	(* (* (* x 3) y) y)
1.0ms	y	@	0	(* (* (* x 3) y) y)
1.0ms	x	@	inf	(* (* (* x 3) y) y)
0.0ms	x	@	0	(* (* x 3) y)

rewrite120.0ms (2.2%)

Memory

22.4MiB live, 219.1MiB 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

-18.7MiB live, 20.5MiB 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: 14.9MiB live, 14.9MiB allocated
Compiler: Compiled 494 to 21 computations (95.7% saved)

prune5.0ms (0.1%)

Memory

-28.0MiB live, 10.7MiB 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

99.9%

Counts

73 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
▶	30.1%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	99.7%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
▶	5.1%	(*.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

13.8MiB live, 13.8MiB 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

localize37.0ms (0.7%)

Memory

-10.7MiB live, 109.6MiB 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	99.6%	(.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

22.0ms

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: 11.0ms (96.4% 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%)

Memory

7.9MiB live, 7.9MiB 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	y	@	-inf	(* x y)
0.0ms	x	@	-inf	(* x y)
0.0ms	x	@	-inf	(* 3 (* y (* x y)))
0.0ms	y	@	0	(* 3 (* y (* x y)))

rewrite115.0ms (2.1%)

Memory

24.6MiB live, 224.6MiB 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))

simplify19.0ms (0.3%)

Memory

-31.9MiB live, 49.2MiB 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))

eval20.0ms (0.4%)

Memory: 20.6MiB live, 58.8MiB allocated
Compiler: Compiled 1 389 to 34 computations (97.6% saved)

prune6.0ms (0.1%)

Memory

-24.0MiB live, 14.9MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	223	2	225
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	223	7	230

Accuracy

100.0%

Counts

230 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	30.1%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
▶	89.2%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
✓	5.1%	(*.f64 x #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))
▶	30.1%	(.f64 #s(literal 3 binary64) (.f64 y x))

Compiler

Compiled 55 to 38 computations (30.9% saved)

simplify5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 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))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	17	29
2	35	29
3	42	29
0	42	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

24.9MiB live, 66.0MiB allocated

Localize:

Found 5 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	89.2%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 y x))

Samples

15.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 7.0ms (92.3% 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

-33.3MiB live, 5.1MiB allocated

Counts

5 → 96

Calls

Call 1

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

Calls

24 calls:

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

rewrite116.0ms (2.1%)

Memory

7.4MiB live, 240.8MiB 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	8	21
1	19	21
2	44	21
3	67	21
4	139	21
5	434	11
6	2220	9
7	2245	9
8	2368	9
9	3597	9
0	8525	9

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 14

Calls

Call 1

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

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

simplify11.0ms (0.2%)

Memory

33.5MiB live, 33.5MiB 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	456
1	19	456
2	35	456
3	45	456
0	45	456

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

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)
(* 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))
(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)

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

eval19.0ms (0.3%)

Memory: -11.5MiB live, 30.4MiB allocated
Compiler: Compiled 636 to 23 computations (96.4% saved)

prune5.0ms (0.1%)

Memory

-23.3MiB live, 15.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	108	9	117

Accuracy

100.0%

Counts

117 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	30.1%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
▶	89.1%	(.f64 x (.f64 y (*.f64 #s(literal 3 binary64) y)))
✓	89.2%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
▶	30.4%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	5.1%	(*.f64 x #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))
✓	30.1%	(.f64 #s(literal 3 binary64) (.f64 y x))

Compiler

Compiled 71 to 49 computations (31% saved)

simplify5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	16	29
2	32	29
3	42	29
4	42	29
0	42	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize25.0ms (0.5%)

Memory

-4.4MiB live, 73.0MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.8%	(.f64 y (.f64 #s(literal 3 binary64) y))
✓	accuracy	89.2%	(.f64 x (.f64 y (*.f64 #s(literal 3 binary64) y)))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.3%	(.f64 x (.f64 #s(literal 3 binary64) y))

Samples

16.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 7.0ms (91.3% 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

5.2MiB live, 5.2MiB allocated

Counts

4 → 72

Calls

Call 1

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

18 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	x	@	0	(* x (* y (* 3 y)))

rewrite135.0ms (2.4%)

Memory

15.2MiB live, 211.6MiB 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: 7 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	16	16
2	32	16
3	44	16
4	52	16
5	68	16
6	140	16
7	434	8
8	2241	8
9	2266	8
10	2389	8
11	3613	8
0	8548	8

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 10

Calls

Call 1

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

simplify43.0ms (0.8%)

Memory

-12.6MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	384
1	21	384
2	35	384
3	38	384
0	38	384

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

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

eval8.0ms (0.1%)

Memory: 20.6MiB live, 20.6MiB allocated
Compiler: Compiled 561 to 19 computations (96.6% saved)

prune33.0ms (0.6%)

Memory

-27.5MiB live, 11.3MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	95	9	104

Accuracy

100.0%

Counts

104 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	30.1%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
✓	89.1%	(.f64 x (.f64 y (*.f64 #s(literal 3 binary64) y)))
✓	89.2%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
✓	30.4%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	5.1%	(*.f64 x #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))
✓	30.1%	(.f64 #s(literal 3 binary64) (.f64 y x))

Compiler

Compiled 126 to 69 computations (45.2% saved)

regimes47.0ms (0.8%)

Memory

10.9MiB live, 46.1MiB 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 y (*.f64 x y)))
(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
(.f64 x (.f64 y (*.f64 #s(literal 3 binary64) y)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

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

Calls

4 calls:

36.0ms	x
4.0ms	y
3.0ms	(*.f64 x #s(literal 3 binary64))
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)

regimes52.0ms (0.9%)

Memory

9.9MiB live, 46.4MiB 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 y (*.f64 x y)))
(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
(.f64 x (.f64 y (*.f64 #s(literal 3 binary64) y)))

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

Calls

4 calls:

43.0ms	y
3.0ms	x
3.0ms	(*.f64 x #s(literal 3 binary64))
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)

regimes54.0ms (1%)

Memory

0.1MiB live, 34.7MiB 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 x (.f64 #s(literal 3 binary64) y))

Calls

4 calls:

47.0ms	y
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	x
2.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

Results

Accuracy	Segments	Branch
30.4%	1	`x`
30.4%	1	`y`
30.4%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
30.4%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes7.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
30.1%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
30.1%	1	`y`
30.1%	1	`x`
30.1%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes34.0ms (0.6%)

Memory

-22.1MiB live, 16.9MiB 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:

29.0ms	y
1.0ms	(*.f64 x #s(literal 3 binary64))
1.0ms	x
1.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

Results

Accuracy	Segments	Branch
5.1%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
5.1%	1	`y`
5.1%	1	`x`
5.1%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify7.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	20	27

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness3.2s (58.1%)

Memory

-16.9MiB live, 242.8MiB 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`
2 096×	`pow-lowering-pow.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
0	8	21
1	19	21
2	44	21
3	67	21
4	139	21
5	434	11
6	2220	9
7	2245	9
8	2368	9
9	3597	9
0	8525	9
0	10	804
1	18	804
2	33	804
3	44	804
0	44	804
0	10	324
1	18	324
2	33	324
3	44	324
0	44	324
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 81 to 46 computations (43.2% saved)

preprocess294.0ms (5.3%)

Memory

-27.2MiB live, 170.3MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 238 to 142 computations (40.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample875.0ms (15.8%)

preprocess41.0ms (0.7%)

explain90.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize23.0ms (0.4%)

series7.0ms (0.1%)

rewrite120.0ms (2.2%)

simplify10.0ms (0.2%)

eval6.0ms (0.1%)

prune5.0ms (0.1%)

simplify5.0ms (0.1%)

localize37.0ms (0.7%)

series3.0ms (0%)

rewrite115.0ms (2.1%)

simplify19.0ms (0.3%)

eval20.0ms (0.4%)

prune6.0ms (0.1%)

simplify5.0ms (0.1%)

localize27.0ms (0.5%)

series3.0ms (0.1%)

rewrite116.0ms (2.1%)

simplify11.0ms (0.2%)

eval19.0ms (0.3%)

prune5.0ms (0.1%)

simplify5.0ms (0.1%)

localize25.0ms (0.5%)

series1.0ms (0%)

rewrite135.0ms (2.4%)

simplify43.0ms (0.8%)

eval8.0ms (0.1%)

prune33.0ms (0.6%)

regimes47.0ms (0.8%)

regimes52.0ms (0.9%)

regimes54.0ms (1%)

regimes7.0ms (0.1%)

regimes34.0ms (0.6%)

simplify7.0ms (0.1%)

soundness3.2s (58.1%)

preprocess294.0ms (5.3%)

end0.0ms (0%)

Profiling