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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample521.0ms (9.8%)

Memory

0.4MiB live, 916.2MiB allocated

Samples

364.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-mult: 173.0ms (92.4% of total)

ival-true: 6.0ms (3.2% of total)

exact: 5.0ms (2.7% of total)

ival-assert: 4.0ms (2.1% of total)

Bogosity

preprocess38.0ms (0.7%)

Memory

-16.8MiB live, 33.6MiB allocated

Algorithm

2×	egg-herbie

Rules

562×	`unsub-neg`
210×	`distribute-lft-in`
208×	`associate-r`
186×	`distribute-lft-neg-in`
136×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	59	42
2	198	42
3	549	42
4	967	42
5	1375	42
6	1389	42
7	1389	42
8	1392	42
0	6	7
1	12	7
2	26	7
3	43	7
4	47	7
0	47	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

(negabs y)

explain58.0ms (1.1%)

Memory

-18.9MiB live, 140.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
34	-	2	(4.0867379079282454e-159 6.159947062481588e+35)	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
0	-	0	-	`y`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(*.f64 x #s(literal 3 binary64))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`	*no**	17	0
`*.f64`	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`	*nu**	15	0

Confusion

	Predicted +	Predicted -
+	32	2
-	0	222

Precision

1.0

Recall

0.9411764705882353

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	32	0	2
-	0	0	222

Precision?

1.0

Recall?

0.9411764705882353

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

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 (89.1% 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

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	12	18
2	26	18
3	43	18
4	47	18
0	47	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize18.0ms (0.3%)

Memory

6.7MiB live, 46.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	accuracy	88.0%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (89.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite119.0ms (2.2%)

Memory

2.2MiB live, 240.0MiB 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	6	17
1	12	17
2	26	17
3	45	17
4	56	17
5	72	17
6	144	17
7	441	5
8	2230	5
9	2255	5
10	2378	5
11	3601	5
0	8555	5

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 6

Calls

Call 1

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

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

simplify9.0ms (0.2%)

Memory

-21.6MiB live, 20.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 12.9MiB live, 12.9MiB allocated
Compiler: Compiled 362 to 18 computations (95% saved)

prune3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Accuracy

99.9%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
▶	87.9%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
▶	32.0%	(.f64 (.f64 #s(literal 3 binary64) x) y)
▶	5.2%	(*.f64 y #s(literal 3 binary64))
▶	99.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify6.0ms (0.1%)

Memory

-28.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	24	52
2	35	52
0	35	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (0.9%)

Memory

1.3MiB live, 79.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x x))
✓	accuracy	88.0%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
✓	accuracy	99.8%	(.f64 x (.f64 x y))

Samples

36.0ms

256×

valid

Compiler

Compiled 54 to 14 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 25.0ms (98.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

9 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite200.0ms (3.8%)

Memory

3.2MiB live, 163.0MiB 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	12	47
1	26	47
2	44	47
3	60	47
4	132	47
5	426	21
6	2208	17
7	2233	17
8	2356	17
9	3594	17
0	8557	17

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 26

Calls

Call 1

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

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

simplify20.0ms (0.4%)

Memory

0.7MiB live, 42.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

168 → 168

Calls

Call 1

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

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

eval33.0ms (0.6%)

Memory: -2.5MiB live, 36.5MiB allocated
Compiler: Compiled 1 170 to 29 computations (97.5% saved)

prune4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

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

Accuracy

99.9%

Counts

199 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	87.9%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
✓	32.0%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	5.2%	(*.f64 y #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
▶	32.0%	(.f64 #s(literal 3 binary64) (.f64 x y))

Compiler

Compiled 46 to 32 computations (30.4% saved)

simplify4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

24×	`-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
(* 3 (* x y))
3
(* x y)
x
y

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

localize16.0ms (0.3%)

Memory

-10.7MiB live, 28.8MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 3.0ms (77.4% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite28.0ms (0.5%)

Memory

-24.4MiB live, 15.0MiB 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
(* 3 (* x y))
(* x y)

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

simplify6.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

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	192
1	9	192
2	16	192
3	18	192
0	18	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 13.2MiB live, 13.2MiB allocated
Compiler: Compiled 282 to 14 computations (95% saved)

prune13.0ms (0.2%)

Memory

-30.6MiB live, 10.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

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

Accuracy

99.9%

Counts

62 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	87.9%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
▶	32.0%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	32.0%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	5.2%	(*.f64 y #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
✓	32.0%	(.f64 #s(literal 3 binary64) (.f64 x y))

Compiler

Compiled 53 to 37 computations (30.2% saved)

simplify4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

24×	`-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
(* (* 3 y) x)
(* 3 y)
3
y
x

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

localize14.0ms (0.3%)

Memory

26.5MiB live, 26.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

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 (86.6% 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

1.0MiB live, 1.0MiB allocated

Counts

2 → 36

Calls

Call 1

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

rewrite16.0ms (0.3%)

Memory

-24.6MiB live, 15.1MiB 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
(* (* 3 y) x)
(* 3 y)

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

simplify5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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)

eval4.0ms (0.1%)

Memory: 8.7MiB live, 8.7MiB allocated
Compiler: Compiled 222 to 16 computations (92.8% saved)

prune11.0ms (0.2%)

Memory

-28.1MiB live, 11.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

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

Accuracy

99.9%

Counts

51 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	87.9%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) y)
✓	32.0%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	32.0%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	5.2%	(*.f64 y #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))
✓	32.0%	(.f64 #s(literal 3 binary64) (.f64 x y))

Compiler

Compiled 94 to 55 computations (41.5% saved)

regimes11.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
2.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes14.0ms (0.3%)

Memory

-18.5MiB live, 21.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
2.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Results

Accuracy	Segments	Branch
32.0%	1	`x`
32.0%	1	`y`
32.0%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
32.0%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
32.0%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
32.0%	1	`y`
32.0%	1	`x`
32.0%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify17.0ms (0.3%)

Memory

-24.1MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	17	20

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness3.9s (73.6%)

Memory

-10.5MiB live, 189.1MiB 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: 7 (0.0ms)

Iter	Nodes	Cost
0	9	264
1	15	264
2	27	264
3	47	264
4	48	264
0	48	264
0	12	47
1	26	47
2	44	47
3	60	47
4	132	47
5	426	21
6	2208	17
7	2233	17
8	2356	17
9	3594	17
0	8557	17
0	6	17
1	12	17
2	26	17
3	45	17
4	56	17
5	72	17
6	144	17
7	441	5
8	2230	5
9	2255	5
10	2378	5
11	3601	5
0	8555	5

Stop Event

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

Compiler

Compiled 40 to 22 computations (45% saved)

preprocess120.0ms (2.3%)

Memory

33.5MiB live, 111.9MiB allocated

Remove

(negabs y)

(abs x)

Compiler

Compiled 188 to 116 computations (38.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample521.0ms (9.8%)

preprocess38.0ms (0.7%)

explain58.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize18.0ms (0.3%)

series5.0ms (0.1%)

rewrite119.0ms (2.2%)

simplify9.0ms (0.2%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

simplify6.0ms (0.1%)

localize50.0ms (0.9%)

series6.0ms (0.1%)

rewrite200.0ms (3.8%)

simplify20.0ms (0.4%)

eval33.0ms (0.6%)

prune4.0ms (0.1%)

simplify4.0ms (0.1%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite28.0ms (0.5%)

simplify6.0ms (0.1%)

eval5.0ms (0.1%)

prune13.0ms (0.2%)

simplify4.0ms (0.1%)

localize14.0ms (0.3%)

series1.0ms (0%)

rewrite16.0ms (0.3%)

simplify5.0ms (0.1%)

eval4.0ms (0.1%)

prune11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes14.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify17.0ms (0.3%)

soundness3.9s (73.6%)

preprocess120.0ms (2.3%)

end0.0ms (0%)

Profiling