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

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)

sample632.0ms (13.1%)

Memory

9.7MiB live, 991.6MiB allocated

Samples

415.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 161.0ms (92.1% of total)

ival-true: 6.0ms (3.4% of total)

exact: 4.0ms (2.3% of total)

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

Bogosity

preprocess41.0ms (0.8%)

Memory

7.9MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Rules

530×	`unsub-neg`
244×	`associate-r`
192×	`distribute-lft-neg-in`
178×	`distribute-lft-in`
142×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	59	35
2	188	35
3	606	35
4	933	35
5	1289	35
6	1321	35
7	1323	35
8	1323	35
9	1325	35
0	6	7
0	9	7
1	16	7
2	31	7
3	48	7
4	48	7
0	48	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)) y) y)

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

Symmetry

(abs y)

(negabs x)

explain61.0ms (1.3%)

Memory

-25.6MiB live, 134.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-mult: 9.0ms (92.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB 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)) y)
✓	cost-diff	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	16	18
2	31	18
3	48	18
4	48	18
0	48	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.4%)

Memory

-1.7MiB live, 36.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) 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: 6.0ms (98.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) (patch (.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

15 calls:

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

rewrite122.0ms (2.5%)

Memory

-21.1MiB live, 212.1MiB 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`
1 260×	`lower-*.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	21
1	16	21
2	33	21
3	57	21
4	73	21
5	145	21
6	433	9
7	2257	9
8	2283	9
9	2406	9
10	3628	9
0	8581	9

Stop Event

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

Counts

3 → 12

Calls

Call 1

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

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

simplify7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 11.9MiB live, 11.9MiB allocated
Compiler: Compiled 494 to 21 computations (95.7% saved)

prune6.0ms (0.1%)

Memory

-23.1MiB live, 15.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Accuracy

99.9%

Counts

73 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
▶	31.2%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	99.7%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
▶	5.4%	(*.f64 x #s(literal 3 binary64))
▶	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

62×	`lower-*.f32`
48×	`lower-*.f64`
30×	`associate-r`
20×	`associate-l`
16×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	52
0	17	52
1	30	52
2	46	52
3	53	52
4	53	52
0	53	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.8%)

Memory

-22.8MiB live, 73.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 x y))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 y (.f64 x y))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))

Samples

20.0ms

256×

valid

Compiler

Compiled 54 to 12 computations (77.8% saved)

Precisions

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

ival-mult: 10.0ms (92.2% 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

11.6MiB live, 11.6MiB allocated

Counts

7 → 156

Calls

Call 1

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

Outputs
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) (patch (.f64 #s(literal 3 binary64) (.f64 y (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 y (.f64 x y)) (patch (.f64 y (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) (patch (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())

Calls

39 calls:

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

rewrite134.0ms (2.8%)

Memory

5.2MiB live, 119.9MiB 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`
1 254×	`lower-*.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	17	45
1	30	45
2	46	45
3	55	45
4	62	45
5	78	45
6	150	45
7	446	21
8	2231	17
9	2258	17
10	2381	17
11	3617	17
0	8594	17

Stop Event

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

Counts

7 → 26

Calls

Call 1

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

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

simplify11.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

156 → 156

Calls

Call 1

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

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

eval29.0ms (0.6%)

Memory: -1.4MiB live, 42.0MiB allocated
Compiler: Compiled 1 389 to 34 computations (97.6% saved)

prune7.0ms (0.1%)

Memory

-22.0MiB live, 16.3MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

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

Accuracy

100.0%

Counts

230 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	31.2%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
▶	89.2%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
✓	5.4%	(*.f64 x #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))
▶	31.2%	(.f64 #s(literal 3 binary64) (.f64 y x))

Compiler

Compiled 55 to 38 computations (30.9% saved)

simplify6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	13	29
1	22	29
2	40	29
3	47	29
0	47	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.5%)

Memory

8.4MiB live, 46.7MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 y y))
✓	accuracy	89.2%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 y x))

Samples

15.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

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

ival-mult: 7.0ms (92.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y x)) (patch (.f64 #s(literal 3 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())

Calls

24 calls:

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

rewrite102.0ms (2.1%)

Memory

-34.0MiB live, 163.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	13	21
1	24	21
2	49	21
3	72	21
4	144	21
5	438	11
6	2251	9
7	2278	9
8	2401	9
9	3635	9
0	8618	9

Stop Event

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

Counts

5 → 14

Calls

Call 1

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

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

simplify8.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	456
1	19	456
2	35	456
3	45	456
0	45	456

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

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

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

eval14.0ms (0.3%)

Memory: -11.8MiB live, 31.2MiB allocated
Compiler: Compiled 636 to 23 computations (96.4% saved)

prune5.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	109	8	117

Accuracy

100.0%

Counts

117 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	31.2%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
▶	89.2%	(.f64 x (.f64 y (*.f64 #s(literal 3 binary64) y)))
▶	31.2%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	5.4%	(*.f64 x #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))
✓	31.2%	(.f64 #s(literal 3 binary64) (.f64 y x))

Compiler

Compiled 62 to 43 computations (30.6% saved)

simplify6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

62×	`lower-*.f32`
54×	`lower-*.f64`
24×	`associate-r`
18×	`associate-l`
16×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	11	29
1	20	29
2	36	29
3	45	29
4	45	29
0	45	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.5%)

Memory

-15.8MiB live, 61.1MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.8%	(.f64 y (.f64 #s(literal 3 binary64) y))
✓	accuracy	89.2%	(.f64 x (.f64 y (*.f64 #s(literal 3 binary64) y)))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 x (.f64 #s(literal 3 binary64) y))

Samples

15.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

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

ival-mult: 6.0ms (90.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

4 → 72

Calls

Call 1

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

Outputs
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) (patch (.f64 x (.f64 y (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 #s(literal 3 binary64) y)) (patch (.f64 y (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())

Calls

18 calls:

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

rewrite117.0ms (2.4%)

Memory

5.2MiB live, 177.4MiB 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	7	20
0	11	16
1	20	16
2	36	16
3	47	16
4	54	16
5	70	16
6	142	16
7	438	8
8	2276	8
9	2302	8
10	2425	8
11	3637	8
0	8613	8

Stop Event

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

Counts

4 → 10

Calls

Call 1

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

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

simplify8.0ms (0.2%)

Memory

-25.8MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

eval8.0ms (0.2%)

Memory: 22.7MiB live, 22.7MiB allocated
Compiler: Compiled 561 to 19 computations (96.6% saved)

prune8.0ms (0.2%)

Memory

-30.4MiB live, 13.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	95	8	103

Accuracy

100.0%

Counts

103 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	31.2%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) y)
✓	89.2%	(.f64 x (.f64 y (*.f64 #s(literal 3 binary64) y)))
✓	31.2%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	5.4%	(*.f64 x #s(literal 3 binary64))
✓	99.7%	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))
✓	31.2%	(.f64 #s(literal 3 binary64) (.f64 y x))

Compiler

Compiled 117 to 63 computations (46.2% saved)

regimes14.0ms (0.3%)

Memory

27.2MiB live, 27.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 14 computations (30% saved)

regimes51.0ms (1.1%)

Memory

-13.6MiB live, 25.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	y
3.0ms	x
3.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

Results

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

Compiler

Compiled 20 to 14 computations (30% saved)

regimes9.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
31.2%	1	`x`
31.2%	1	`y`
31.2%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
31.2%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes37.0ms (0.8%)

Memory

-25.9MiB live, 12.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	y
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	x
1.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

Results

Accuracy	Segments	Branch
31.2%	1	`x`
31.2%	1	`(*.f64 x #s(literal 3 binary64))`
31.2%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
31.2%	1	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes5.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify6.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	20	27

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness3.1s (64.5%)

Memory

4.2MiB live, 236.9MiB allocated

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
2 096×	`lower-pow.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	21
1	16	21
2	33	21
3	57	21
4	73	21
5	145	21
6	433	9
7	2257	9
8	2283	9
9	2406	9
10	3628	9
0	8581	9
0	10	35
0	17	45
1	30	45
2	46	45
3	55	45
4	62	45
5	78	45
6	150	45
7	446	21
8	2231	17
9	2258	17
10	2381	17
11	3617	17
0	8594	17
0	10	804
1	18	804
2	33	804
3	44	804
0	44	804
0	8	23
0	13	21
1	24	21
2	49	21
3	72	21
4	144	21
5	438	11
6	2251	9
7	2278	9
8	2401	9
9	3635	9
0	8618	9
0	10	324
1	18	324
2	33	324
3	44	324
0	44	324

Stop Event

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

Compiler

Compiled 81 to 46 computations (43.2% saved)

preprocess106.0ms (2.2%)

Memory

4.7MiB live, 117.7MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 238 to 142 computations (40.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample632.0ms (13.1%)

preprocess41.0ms (0.8%)

explain61.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize18.0ms (0.4%)

series8.0ms (0.2%)

rewrite122.0ms (2.5%)

simplify7.0ms (0.1%)

eval6.0ms (0.1%)

prune6.0ms (0.1%)

simplify6.0ms (0.1%)

localize40.0ms (0.8%)

series5.0ms (0.1%)

rewrite134.0ms (2.8%)

simplify11.0ms (0.2%)

eval29.0ms (0.6%)

prune7.0ms (0.1%)

simplify6.0ms (0.1%)

localize25.0ms (0.5%)

series3.0ms (0.1%)

rewrite102.0ms (2.1%)

simplify8.0ms (0.2%)

eval14.0ms (0.3%)

prune5.0ms (0.1%)

simplify6.0ms (0.1%)

localize25.0ms (0.5%)

series3.0ms (0.1%)

rewrite117.0ms (2.4%)

simplify8.0ms (0.2%)

eval8.0ms (0.2%)

prune8.0ms (0.2%)

regimes14.0ms (0.3%)

regimes51.0ms (1.1%)

regimes9.0ms (0.2%)

regimes37.0ms (0.8%)

regimes5.0ms (0.1%)

simplify6.0ms (0.1%)

soundness3.1s (64.5%)

preprocess106.0ms (2.2%)

end0.0ms (0%)

Profiling