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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample684.0ms (11.9%)

Memory

19.0MiB live, 953.1MiB allocated

Samples

464.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-mult: 199.0ms (93.2% of total)

ival-true: 6.0ms (2.8% of total)

exact: 4.0ms (1.9% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess38.0ms (0.7%)

Memory

25.6MiB live, 64.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

(negabs y)

explain63.0ms (1.1%)

Memory

7.7MiB live, 164.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	1	(5.187147128315438e-161 7.516592061920818e+291)	`(.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**	12	0
`*.f64`	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`	*nu**	11	0

Confusion

	Predicted +	Predicted -
+	23	1
-	0	232

Precision

1.0

Recall

0.9583333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	1
-	0	0	232

Precision?

1.0

Recall?

0.9583333333333334

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-mult: 9.0ms (89.5% 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: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.5%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

-24.8MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.4%)

Memory

-5.6MiB live, 32.4MiB 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 x #s(literal 3 binary64)) x)
✓	accuracy	91.6%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 4.0ms (83.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify6.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite150.0ms (2.6%)

Memory

-20.8MiB live, 153.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

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

Counts

3 → 6

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 12.4MiB live, 12.4MiB allocated
Compiler: Compiled 362 to 18 computations (95% saved)

prune3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB 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
✓	91.5%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
▶	29.9%	(.f64 (.f64 #s(literal 3 binary64) x) y)
▶	91.5%	(.f64 #s(approx ( (* x 3) x) (.f64 #s(literal 3 binary64) (.f64 x x))) y)
▶	5.4%	(*.f64 y #s(literal 3 binary64))
▶	99.7%	#s(approx (* (* (* x 3) x) y) (.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y))))

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify34.0ms (0.6%)

Memory

-28.8MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

66×	`lower-*.f32`
48×	`lower-*.f64`
20×	`*-commutative`
18×	`associate-r`
18×	`lift-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	84
0	26	84
1	42	84
2	52	84
0	52	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1.2%)

Memory

15.7MiB live, 90.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	#s(approx (* (* x 3) x) (.f64 #s(literal 3 binary64) (.f64 x x)))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x x))
✓	accuracy	91.6%	(.f64 #s(approx ( (* x 3) x) (.f64 #s(literal 3 binary64) (.f64 x x))) y)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	#s(approx (* (* (* x 3) x) y) (.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y))))
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y)))

Samples

28.0ms

256×

valid

Compiler

Compiled 66 to 16 computations (75.8% saved)

Precisions

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

ival-mult: 17.0ms (97.9% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

11 → 204

Calls

Call 1

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

51 calls:

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

simplify12.0ms (0.2%)

Memory

-14.3MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	1044
1	22	1044
2	32	1044
3	36	1044
0	36	1044

Stop Event

1×	iter limit
1×	saturated

Counts

204 → 204

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

rewrite119.0ms (2.1%)

Memory

11.1MiB live, 204.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
1 412×	`prod-exp`
1 276×	`lower-*.f32`
1 268×	`lower-*.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	17	73
0	26	83
1	44	83
2	61	83
3	77	83
4	149	83
5	446	33
6	2246	29
7	2275	29
8	2404	29
9	3627	29
0	8582	29

Stop Event

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

Counts

11 → 30

Calls

Call 1

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

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

eval22.0ms (0.4%)

Memory: -10.4MiB live, 64.9MiB allocated
Compiler: Compiled 1 438 to 29 computations (98% saved)

prune7.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	233	1	234
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	233	6	239

Accuracy

99.9%

Counts

239 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.5%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	29.9%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	91.5%	(.f64 #s(approx ( (* x 3) x) (.f64 #s(literal 3 binary64) (.f64 x x))) y)
✓	5.4%	(*.f64 y #s(literal 3 binary64))
✓	99.7%	#s(approx (* (* (* x 3) x) y) (.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y))))
▶	29.9%	#s(approx (* (* (* x 3) x) y) (.f64 #s(literal 3 binary64) (.f64 x y)))

Compiler

Compiled 46 to 32 computations (30.4% saved)

simplify7.0ms (0.1%)

Memory

-22.4MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

62×	`lower-*.f32`
58×	`lower-*.f64`
30×	`associate-r`
18×	`associate-l`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	20	24
2	35	24
3	45	24
4	45	24
0	45	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize143.0ms (2.5%)

Memory

-81.1MiB live, 41.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 x y))
✓	accuracy	29.9%	#s(approx (* (* (* x 3) x) y) (.f64 #s(literal 3 binary64) (.f64 x y)))

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 7.0ms (93.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

18 calls:

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

simplify7.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	360
1	18	360
2	33	360
3	42	360
0	42	360

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

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

rewrite113.0ms (2%)

Memory

-3.1MiB live, 193.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
1 412×	`prod-exp`
1 264×	`lower-*.f32`
1 260×	`lower-*.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	23
1	20	23
2	35	23
3	47	23
4	54	23
5	70	23
6	142	23
7	441	13
8	2276	11
9	2302	11
10	2425	11
11	3631	11
0	8552	11

Stop Event

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

Counts

3 → 8

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 20.5MiB live, 20.5MiB allocated
Compiler: Compiled 442 to 16 computations (96.4% saved)

prune4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	80	6	86

Accuracy

99.9%

Counts

86 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.5%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	29.9%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	91.5%	(.f64 #s(approx ( (* x 3) x) (.f64 #s(literal 3 binary64) (.f64 x x))) y)
✓	5.4%	(*.f64 y #s(literal 3 binary64))
✓	99.7%	#s(approx (* (* (* x 3) x) y) (.f64 #s(literal 3 binary64) (.f64 x (*.f64 x y))))
✓	29.9%	#s(approx (* (* (* x 3) x) y) (.f64 #s(literal 3 binary64) (.f64 x y)))

Compiler

Compiled 82 to 48 computations (41.5% saved)

regimes12.0ms (0.2%)

Memory

-2.0MiB live, 36.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	y
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
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)

regimes11.0ms (0.2%)

Memory

-0.2MiB live, 33.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
2.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Results

Accuracy	Segments	Branch
29.9%	1	`x`
29.9%	1	`y`
29.9%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
29.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes13.0ms (0.2%)

Memory

-7.0MiB live, 29.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
2.0ms	x
2.0ms	y
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

Accuracy	Segments	Branch
29.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
29.9%	1	`x`
29.9%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
29.9%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.1%)

Memory

-10.3MiB live, 24.0MiB 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:

4.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
1.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Results

Accuracy	Segments	Branch
5.4%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
5.4%	1	`x`
5.4%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
5.4%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify7.0ms (0.1%)

Memory

26.7MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	22	36

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness4.1s (70.8%)

Memory

-9.6MiB live, 215.6MiB allocated

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	9	264
1	15	264
2	27	264
3	47	264
4	48	264
0	48	264
0	6	15
0	9	17
1	15	17
2	29	17
3	47	17
4	58	17
5	74	17
6	146	17
7	444	5
8	2255	5
9	2281	5
10	2404	5
11	3620	5
0	8584	5
0	17	73
0	26	83
1	44	83
2	61	83
3	77	83
4	149	83
5	446	33
6	2246	29
7	2275	29
8	2404	29
9	3627	29
0	8582	29

Stop Event

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

Compiler

Compiled 40 to 22 computations (45% saved)

preprocess85.0ms (1.5%)

Memory

4.6MiB live, 206.5MiB 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%)

sample684.0ms (11.9%)

preprocess38.0ms (0.7%)

explain63.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize26.0ms (0.4%)

series5.0ms (0.1%)

simplify6.0ms (0.1%)

rewrite150.0ms (2.6%)

eval5.0ms (0.1%)

prune3.0ms (0.1%)

simplify34.0ms (0.6%)

localize66.0ms (1.2%)

series6.0ms (0.1%)

simplify12.0ms (0.2%)

rewrite119.0ms (2.1%)

eval22.0ms (0.4%)

prune7.0ms (0.1%)

simplify7.0ms (0.1%)

localize143.0ms (2.5%)

series1.0ms (0%)

simplify7.0ms (0.1%)

rewrite113.0ms (2%)

eval7.0ms (0.1%)

prune4.0ms (0.1%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

simplify7.0ms (0.1%)

soundness4.1s (70.8%)

preprocess85.0ms (1.5%)

end0.0ms (0%)

Profiling