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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.1s (28.5%)

Memory

-98.6MiB live, 1 345.6MiB allocated

Samples

755.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 509.0ms

ival-mult: 494.0ms (97% of total)

ival-true: 7.0ms (1.4% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain79.0ms (2.1%)

Memory

7.3MiB live, 125.8MiB 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

45.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 32.0ms (97.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess40.0ms (1.1%)

Memory

-2.9MiB live, 35.6MiB 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 y (*.f64 #s(literal 3 binary64) x)) y)

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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 y (*.f64 #s(literal 3 binary64) x)) y)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 y (.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y

localize19.0ms (0.5%)

Memory

-4.1MiB live, 32.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.125	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
accuracy	0.1875	(.f64 (.f64 x #s(literal 3 binary64)) y)

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 7.0ms (89.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

-14.2MiB live, 21.7MiB 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 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 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 (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 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 (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 -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 (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 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) (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 (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 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) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x (pow y 2))) (taylor -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 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) (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

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* (* (* x 3) y) y) (* (* x 3) y) (* x 3))
2.0ms	x	@	inf	((* (* (* x 3) y) y) (* (* x 3) y) (* x 3))
2.0ms	x	@	0	((* (* (* x 3) y) y) (* (* x 3) y) (* x 3))
1.0ms	y	@	0	((* (* (* x 3) y) y) (* (* x 3) y) (* x 3))
1.0ms	y	@	-inf	((* (* (* x 3) y) y) (* (* x 3) y) (* x 3))

simplify5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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 y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 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 (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 (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)
(* 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 y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 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 y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

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

rewrite81.0ms (2.2%)

Memory

18.4MiB live, 100.5MiB 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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval8.0ms (0.2%)

Memory: -18.7MiB live, 19.2MiB allocated
Compiler: Compiled 552 to 24 computations (95.7% saved)

prune8.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB 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)
▶	28.0%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	99.7%	(.f64 #s(approx ( (* x 3) y) (.f64 (.f64 y x) #s(literal 3 binary64))) y)
▶	5.1%	(*.f64 x #s(literal 3 binary64))
▶	91.0%	#s(approx (* (* (* x 3) y) y) (.f64 (.f64 (*.f64 y y) x) #s(literal 3 binary64)))

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify6.0ms (0.2%)

Memory

-30.5MiB live, 7.5MiB 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 y x)
cost-diff	0	(.f64 (.f64 y x) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* x 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx ( (* x 3) y) (.f64 (.f64 y x) #s(literal 3 binary64))) y)
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(.f64 (.f64 (*.f64 y y) x) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* (* x 3) y) y) (.f64 (.f64 (*.f64 y y) x) #s(literal 3 binary64)))

Rules

66×	`lower-*.f32`
50×	`lower-*.f64`
22×	`associate-r`
22×	`associate-l`
18×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	84
0	23	84
1	37	84
2	54	84
3	56	84
0	56	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize51.0ms (1.4%)

Memory

-17.6MiB live, 61.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.1875	(.f64 (.f64 x #s(literal 3 binary64)) y)
accuracy	0	(*.f64 y x)
accuracy	0	#s(approx (* (* x 3) y) (.f64 (.f64 y x) #s(literal 3 binary64)))
accuracy	0.125	(.f64 #s(approx ( (* x 3) y) (.f64 (.f64 y x) #s(literal 3 binary64))) y)
accuracy	0.26171875	(.f64 (.f64 y x) #s(literal 3 binary64))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0	(*.f64 y y)
accuracy	0	#s(approx (* (* (* x 3) y) y) (.f64 (.f64 (*.f64 y y) x) #s(literal 3 binary64)))
accuracy	0.1171875	(.f64 (.f64 (*.f64 y y) x) #s(literal 3 binary64))
accuracy	5.698003490916505	(.f64 (.f64 y y) x)

Samples

43.0ms

256×

valid

Compiler

Compiled 66 to 13 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 32.0ms (97.8% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-2.9MiB live, 34.2MiB allocated

Counts

10 → 216

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* (* (* x 3) y) y) (* (* (* y y) x) 3) (* (* y y) x) (* y y) (* x 3) (* (* (* x 3) y) y) (* (* x 3) y) (* (* y x) 3) (* y x) (* (* x 3) y))
1.0ms	y	@	-inf	((* (* (* x 3) y) y) (* (* (* y y) x) 3) (* (* y y) x) (* y y) (* x 3) (* (* (* x 3) y) y) (* (* x 3) y) (* (* y x) 3) (* y x) (* (* x 3) y))
1.0ms	y	@	inf	((* (* (* x 3) y) y) (* (* (* y y) x) 3) (* (* y y) x) (* y y) (* x 3) (* (* (* x 3) y) y) (* (* x 3) y) (* (* y x) 3) (* y x) (* (* x 3) y))
1.0ms	x	@	inf	((* (* (* x 3) y) y) (* (* (* y y) x) 3) (* (* y y) x) (* y y) (* x 3) (* (* (* x 3) y) y) (* (* x 3) y) (* (* y x) 3) (* y x) (* (* x 3) y))
1.0ms	x	@	0	((* (* (* x 3) y) y) (* (* (* y y) x) 3) (* (* y y) x) (* y y) (* x 3) (* (* (* x 3) y) y) (* (* x 3) y) (* (* y x) 3) (* y x) (* (* x 3) y))

simplify11.0ms (0.3%)

Memory

-17.7MiB live, 18.4MiB 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	1128
1	18	1128
2	33	1128
3	44	1128
0	44	1128

Stop Event

1×	iter limit
1×	saturated

Counts

216 → 216

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

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

rewrite79.0ms (2.1%)

Memory

14.7MiB live, 136.6MiB allocated

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
1 412×	`prod-exp`
1 268×	`lower-*.f32`
1 260×	`lower-*.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	16	70
0	23	86
1	39	86
2	63	86
3	82	86
4	158	86
5	463	40
6	2281	36
7	2308	36
8	2431	36
9	3654	36
0	8650	36

Stop Event

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

Counts

10 → 33

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval25.0ms (0.7%)

Memory: 14.1MiB live, 51.9MiB allocated
Compiler: Compiled 2 020 to 62 computations (96.9% saved)

prune75.0ms (2%)

Memory

-4.7MiB live, 76.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	264	1	265
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	264	6	270

Accuracy

99.9%

Counts

270 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	28.0%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 #s(approx ( (* x 3) y) (.f64 (.f64 y x) #s(literal 3 binary64))) y)
✓	5.1%	(*.f64 x #s(literal 3 binary64))
✓	91.0%	#s(approx (* (* (* x 3) y) y) (.f64 (.f64 (*.f64 y y) x) #s(literal 3 binary64)))
▶	28.0%	#s(approx (* (* (* x 3) y) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 37 to 35 computations (5.4% saved)

simplify4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	21	24
2	39	24
3	47	24
0	47	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.5%)

Memory

0.4MiB live, 38.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.26171875	(.f64 (.f64 y x) #s(literal 3 binary64))
accuracy	46.10942015690314	#s(approx (* (* (* x 3) y) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 8.0ms (93.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-26.7MiB live, 11.6MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

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

simplify5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	360
1	17	360
2	33	360
3	46	360
0	46	360

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

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

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

rewrite76.0ms (2%)

Memory

27.6MiB live, 106.5MiB 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: 7 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	21
1	21	21
2	41	21
3	55	21
4	71	21
5	143	21
6	439	13
7	2237	11
8	2263	11
9	2386	11
10	3610	11
0	8591	11

Stop Event

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

Counts

3 → 8

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval10.0ms (0.3%)

Memory: -6.3MiB live, 30.4MiB allocated
Compiler: Compiled 568 to 26 computations (95.4% saved)

prune14.0ms (0.4%)

Memory

4.5MiB live, 37.4MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

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

Accuracy

99.9%

Counts

86 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)
✓	28.0%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	99.7%	(.f64 #s(approx ( (* x 3) y) (.f64 (.f64 y x) #s(literal 3 binary64))) y)
✓	5.1%	(*.f64 x #s(literal 3 binary64))
✓	91.0%	#s(approx (* (* (* x 3) y) y) (.f64 (.f64 (*.f64 y y) x) #s(literal 3 binary64)))
✓	28.0%	#s(approx (* (* (* x 3) y) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 74 to 50 computations (32.4% saved)

regimes13.0ms (0.3%)

Memory

-6.6MiB live, 30.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	x
2.0ms	(.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 12 to 14 computations (-16.7% saved)

regimes59.0ms (1.6%)

Memory

-26.2MiB live, 31.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	x
2.0ms	y
2.0ms	(.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 12 to 14 computations (-16.7% saved)

regimes10.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

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
91.0%	1	`y`
91.0%	1	`x`
91.0%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`
91.0%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes36.0ms (1%)

Memory

-14.2MiB live, 25.2MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	y
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	x
2.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

Results

Accuracy	Segments	Branch
28.0%	1	`x`
28.0%	1	`(*.f64 x #s(literal 3 binary64))`
28.0%	1	`y`
28.0%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes5.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB 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	x
1.0ms	y
1.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) y)

Results

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

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify31.0ms (0.8%)

Memory

-23.4MiB live, 93.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	26	51

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.8s (48.1%)

Memory

11.4MiB live, 125.4MiB allocated

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	10	324
1	18	324
2	33	324
3	44	324
0	44	324
0	16	70
0	23	86
1	39	86
2	63	86
3	82	86
4	158	86
5	463	40
6	2281	36
7	2308	36
8	2431	36
9	3654	36
0	8650	36
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	saturated

Compiler

Compiled 61 to 40 computations (34.4% saved)

preprocess75.0ms (2%)

Memory

27.5MiB live, 143.3MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 176 to 126 computations (28.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (28.5%)

explain79.0ms (2.1%)

preprocess40.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.5%)

series11.0ms (0.3%)

simplify5.0ms (0.1%)

rewrite81.0ms (2.2%)

eval8.0ms (0.2%)

prune8.0ms (0.2%)

simplify6.0ms (0.2%)

localize51.0ms (1.4%)

series13.0ms (0.3%)

simplify11.0ms (0.3%)

rewrite79.0ms (2.1%)

eval25.0ms (0.7%)

prune75.0ms (2%)

simplify4.0ms (0.1%)

localize20.0ms (0.5%)

series7.0ms (0.2%)

simplify5.0ms (0.1%)

rewrite76.0ms (2%)

eval10.0ms (0.3%)

prune14.0ms (0.4%)

regimes13.0ms (0.3%)

regimes59.0ms (1.6%)

regimes10.0ms (0.3%)

regimes36.0ms (1%)

regimes5.0ms (0.1%)

simplify31.0ms (0.8%)

soundness1.8s (48.1%)

preprocess75.0ms (2%)

end0.0ms (0%)

Profiling