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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample707.0ms (15%)

Memory

-13.5MiB live, 727.8MiB allocated

Samples

480.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-mult: 308.0ms (96% of total)

ival-true: 5.0ms (1.6% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain59.0ms (1.2%)

Memory

4.9MiB live, 124.0MiB 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 49 to 22 computations (55.1% saved)

Precisions

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

ival-mult: 9.0ms (87.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess40.0ms (0.9%)

Memory

27.6MiB live, 65.1MiB 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)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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)

simplify8.0ms (0.2%)

Memory

-25.4MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

localize24.0ms (0.5%)

Memory

-15.3MiB live, 38.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.1328125	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
accuracy	0.203125	(.f64 (.f64 x #s(literal 3 binary64)) y)

Samples

16.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 10.0ms (93.5% 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

12.5MiB live, 12.5MiB 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	@	0	(* (* x 3) y)
0.0ms	x	@	inf	(* (* (* x 3) y) y)

simplify6.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB 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)

rewrite100.0ms (2.1%)

Memory

-15.3MiB live, 180.3MiB allocated

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))

eval6.0ms (0.1%)

Memory: 17.9MiB live, 17.9MiB allocated
Compiler: Compiled 554 to 21 computations (96.2% saved)

prune6.0ms (0.1%)

Memory

-22.9MiB live, 16.5MiB 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)
▶	29.5%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	99.7%	(.f64 #s(approx ( (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) y)
▶	4.8%	(*.f64 x #s(literal 3 binary64))
▶	99.7%	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
0	21	84
1	37	84
2	53	84
3	59	84
0	59	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.8%)

Memory

8.2MiB live, 89.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.203125	(.f64 (.f64 x #s(literal 3 binary64)) y)
accuracy	0	(*.f64 x y)
accuracy	0	#s(approx (* (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y)))
accuracy	0.1328125	(.f64 #s(approx ( (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) y)
accuracy	0.23046875	(.f64 #s(literal 3 binary64) (.f64 x y))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0	(*.f64 x y)
accuracy	0	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y))))
accuracy	0.12890625	(.f64 y (.f64 x y))
accuracy	0.16796875	(.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y)))

Samples

23.0ms

256×

valid

Compiler

Compiled 66 to 12 computations (81.8% saved)

Precisions

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

ival-mult: 10.0ms (91.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

9 → 204

Calls

Call 1

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

51 calls:

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

simplify10.0ms (0.2%)

Memory

-20.2MiB live, 18.7MiB 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	1092
1	18	1092
2	33	1092
3	44	1092
0	44	1092

Stop Event

1×	iter limit
1×	saturated

Counts

204 → 204

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

rewrite94.0ms (2%)

Memory

11.7MiB live, 128.5MiB allocated

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
1 412×	`prod-exp`
1 268×	`lower-*.f32`
1 256×	`lower-*.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	21	83
1	37	83
2	55	83
3	69	83
4	85	83
5	161	83
6	467	39
7	2354	35
8	2382	35
9	2505	35
10	3726	35
0	8724	35

Stop Event

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

Counts

9 → 31

Calls

Call 1

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

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

eval25.0ms (0.5%)

Memory: -21.7MiB live, 55.6MiB allocated
Compiler: Compiled 2 140 to 34 computations (98.4% saved)

prune12.0ms (0.3%)

Memory

28.1MiB live, 28.1MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	275	3	278
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	275	8	283

Accuracy

100.0%

Counts

283 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	29.5%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 #s(approx ( (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) y)
✓	4.8%	(*.f64 x #s(literal 3 binary64))
▶	86.7%	#s(approx (* (* (* x 3) y) y) (.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y))))
✓	99.7%	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y))))
▶	29.5%	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) (.f64 y x)))
▶	86.7%	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) #s(approx ( y (* x y)) (.f64 x (.f64 y y)))))

Compiler

Compiled 70 to 44 computations (37.1% saved)

simplify6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

66×	`lower-*.f32`
52×	`lower-*.f64`
24×	`*-commutative`
20×	`associate-r`
14×	`lift-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	113
0	26	113
1	44	113
2	55	113
0	55	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize49.0ms (1%)

Memory

-39.6MiB live, 84.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	#s(approx (* (* (* x 3) y) y) (.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y))))
accuracy	0.10546875	(.f64 #s(literal 3 binary64) (.f64 y y))
accuracy	8.483169557120492	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y)))
accuracy	0	(*.f64 y x)
accuracy	0.23046875	(.f64 #s(literal 3 binary64) (.f64 y x))
accuracy	45.10047728777555	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) (.f64 y x)))
accuracy	0	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) #s(approx ( y (* x y)) (.f64 x (.f64 y y)))))
accuracy	0	#s(approx (* y (* x y)) (.f64 x (.f64 y y)))
accuracy	0.16796875	(.f64 #s(literal 3 binary64) #s(approx ( y (* x y)) (.f64 x (.f64 y y))))
accuracy	8.48680429050959	(.f64 x (.f64 y y))

Samples

32.0ms

256×

valid

Compiler

Compiled 75 to 17 computations (77.3% saved)

Precisions

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

ival-mult: 17.0ms (98.8% 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

13.7MiB live, 13.7MiB allocated

Counts

11 → 240

Calls

Call 1

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

60 calls:

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

simplify10.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB 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	1368
1	19	1368
2	35	1368
3	45	1368
0	45	1368

Stop Event

1×	iter limit
1×	saturated

Counts

240 → 240

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

rewrite107.0ms (2.3%)

Memory

-12.6MiB live, 142.9MiB allocated

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
1 412×	`prod-exp`
1 268×	`lower-*.f32`
1 258×	`lower-*.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	19	101
0	26	103
1	46	103
2	64	103
3	80	103
4	152	103
5	448	57
6	2268	41
7	2296	41
8	2419	41
9	3649	41
0	8628	41

Stop Event

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

Counts

11 → 23

Calls

Call 1

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

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

eval24.0ms (0.5%)

Memory: 8.7MiB live, 46.4MiB allocated
Compiler: Compiled 2 271 to 25 computations (98.9% saved)

prune24.0ms (0.5%)

Memory

-22.0MiB live, 16.1MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	276	1	277
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	276	9	285

Accuracy

100.0%

Counts

285 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	29.5%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 #s(approx ( (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) y)
✓	4.8%	(*.f64 x #s(literal 3 binary64))
✓	86.7%	#s(approx (* (* (* x 3) y) y) (.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y))))
▶	29.9%	#s(approx (* (* (* x 3) y) y) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	99.7%	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y))))
✓	29.5%	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) (.f64 y x)))
✓	86.7%	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) #s(approx ( y (* x y)) (.f64 x (.f64 y y)))))

Compiler

Compiled 78 to 49 computations (37.2% saved)

simplify5.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

62×	`lower-*.f32`
58×	`lower-*.f64`
34×	`associate-r`
20×	`associate-l`
16×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	19	24
2	36	24
3	52	24
4	52	24
0	52	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.6%)

Memory

-6.4MiB live, 37.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.4512304590364571	(.f64 x (.f64 #s(literal 3 binary64) y))
accuracy	45.10047728777555	#s(approx (* (* (* x 3) y) y) (.f64 x (.f64 #s(literal 3 binary64) y)))

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

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

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

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs

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

#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>) () ())

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

Calls

15 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	@	inf	(* (* (* x 3) y) y)
0.0ms	x	@	0	(* x (* 3 y))

simplify5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	324
1	19	324
2	33	324
3	40	324
0	40	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 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)

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

rewrite98.0ms (2.1%)

Memory

10.2MiB live, 84.0MiB allocated

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: 6 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	23
1	19	23
2	38	23
3	62	23
4	78	23
5	150	23
6	441	11
7	2250	11
8	2276	11
9	2399	11
10	3632	11
0	8577	11

Stop Event

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

Counts

3 → 6

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 13.1MiB live, 13.1MiB allocated
Compiler: Compiled 474 to 14 computations (97% saved)

prune9.0ms (0.2%)

Memory

-22.1MiB live, 15.8MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	66	9	75

Accuracy

100.0%

Counts

75 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	29.5%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 #s(approx ( (* x 3) y) (.f64 #s(literal 3 binary64) (.f64 x y))) y)
✓	4.8%	(*.f64 x #s(literal 3 binary64))
✓	86.7%	#s(approx (* (* (* x 3) y) y) (.f64 x (.f64 #s(literal 3 binary64) (*.f64 y y))))
✓	29.9%	#s(approx (* (* (* x 3) y) y) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	99.7%	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) (.f64 y (*.f64 x y))))
✓	29.5%	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) (.f64 y x)))
✓	86.7%	#s(approx (* (* (* x 3) y) y) (.f64 #s(literal 3 binary64) #s(approx ( y (* x y)) (.f64 x (.f64 y y)))))

Compiler

Compiled 140 to 69 computations (50.7% saved)

regimes22.0ms (0.5%)

Memory

-12.3MiB live, 32.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	x
4.0ms	(*.f64 x #s(literal 3 binary64))
4.0ms	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)

regimes12.0ms (0.3%)

Memory

30.1MiB live, 30.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.7%	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)

regimes12.0ms (0.3%)

Memory

-16.5MiB live, 22.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.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
86.7%	1	`x`
86.7%	1	`y`
86.7%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
86.7%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes9.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (* (* (* x 3) y) y) (.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
29.9%	1	`x`
29.9%	1	`(*.f64 x #s(literal 3 binary64))`
29.9%	1	`y`
29.9%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes9.0ms (0.2%)

Memory

-22.8MiB live, 15.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
29.5%	1	`x`
29.5%	1	`(*.f64 x #s(literal 3 binary64))`
29.5%	1	`y`
29.5%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
4.8%	1	`x`
4.8%	1	`(*.f64 x #s(literal 3 binary64))`
4.8%	1	`y`
4.8%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify9.0ms (0.2%)

Memory

-25.0MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	78
1	37	78

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness3.0s (63.9%)

Memory

-3.2MiB live, 290.3MiB 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	10	1092
1	18	1092
2	33	1092
3	44	1092
0	44	1092
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	324
1	18	324
2	33	324
3	44	324
0	44	324
0	15	67
0	21	83
1	37	83
2	55	83
3	69	83
4	85	83
5	161	83
6	467	39
7	2354	35
8	2382	35
9	2505	35
10	3726	35
0	8724	35
0	19	101
0	26	103
1	46	103
2	64	103
3	80	103
4	152	103
5	448	57
6	2268	41
7	2296	41
8	2419	41
9	3649	41
0	8628	41

Stop Event

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

Compiler

Compiled 108 to 58 computations (46.3% saved)

preprocess95.0ms (2%)

Memory

0.0MiB live, 196.5MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 240 to 124 computations (48.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample707.0ms (15%)

explain59.0ms (1.2%)

preprocess40.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.2%)

localize24.0ms (0.5%)

series8.0ms (0.2%)

simplify6.0ms (0.1%)

rewrite100.0ms (2.1%)

eval6.0ms (0.1%)

prune6.0ms (0.1%)

simplify6.0ms (0.1%)

localize36.0ms (0.8%)

series6.0ms (0.1%)

simplify10.0ms (0.2%)

rewrite94.0ms (2%)

eval25.0ms (0.5%)

prune12.0ms (0.3%)

simplify6.0ms (0.1%)

localize49.0ms (1%)

series8.0ms (0.2%)

simplify10.0ms (0.2%)

rewrite107.0ms (2.3%)

eval24.0ms (0.5%)

prune24.0ms (0.5%)

simplify5.0ms (0.1%)

localize28.0ms (0.6%)

series2.0ms (0%)

simplify5.0ms (0.1%)

rewrite98.0ms (2.1%)

eval6.0ms (0.1%)

prune9.0ms (0.2%)

regimes22.0ms (0.5%)

regimes12.0ms (0.3%)

regimes12.0ms (0.3%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

simplify9.0ms (0.2%)

soundness3.0s (63.9%)

preprocess95.0ms (2%)

end0.0ms (0%)

Profiling