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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample628.0ms (9.4%)

Memory

-6.5MiB live, 980.6MiB allocated

Samples

341.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 162.0ms (91.8% of total)

ival-true: 7.0ms (4% of total)

exact: 4.0ms (2.3% of total)

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

Bogosity

explain69.0ms (1%)

Memory

20.3MiB live, 59.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
21	1	(6.6475854554065024e-186 1.0249767889043981e+47)	-	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
0	0	-	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
0	0	-	-	`y`
0	0	-	-	`#s(literal 3 binary64)`
0	0	-	-	`(*.f64 x #s(literal 3 binary64))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`	*nu**	14	0
`*.f64`	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`	*no**	8	0

Confusion

	Predicted +	Predicted -
+	21	0
-	1	234

Precision

0.9545454545454546

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	21	0	0
-	1	0	234

Precision?

0.9545454545454546

Recall?

1.0

Freqs

test

number	freq
0	234
1	22

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 10.0ms (93.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess80.0ms (1.2%)

Memory

-24.5MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

(negabs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.1%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB 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)) x)
cost-diff	0	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.1640625	(.f64 (.f64 x #s(literal 3 binary64)) x)
accuracy	5.016689213624579	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 4.0ms (82.2% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

3 → 48

Calls

Call 1

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

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

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

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

Calls

6 calls:

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

simplify4.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite168.0ms (2.5%)

Memory

-34.8MiB live, 56.9MiB allocated

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

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

Counts

3 → 6

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 5.9MiB live, 5.9MiB allocated
Compiler: Compiled 408 to 20 computations (95.1% saved)

prune9.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	6	55

Accuracy

92.3%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.1%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
▶	27.9%	(.f64 (.f64 #s(literal 3 binary64) y) x)
▶	27.9%	(.f64 (.f64 #s(literal 3 binary64) x) y)
▶	92.1%	(.f64 #s(approx ( (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) y)
▶	4.9%	(*.f64 y #s(literal 3 binary64))
▶	92.1%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64)))

Compiler

Compiled 65 to 62 computations (4.6% saved)

simplify6.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

66×	`lower-*.f32`
46×	`lower-*.f64`
26×	`*-commutative`
20×	`lift-*.f64`
18×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	95
0	28	95
1	48	95
2	58	95
0	58	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (0.9%)

Memory

-5.1MiB live, 34.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
accuracy	0.1796875	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	5.016689213624579	(.f64 #s(approx ( (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) y)
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.2109375	(.f64 (.f64 #s(literal 3 binary64) y) x)
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.1875	(.f64 (.f64 #s(literal 3 binary64) x) y)
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64)))
accuracy	0.125	(.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64))
accuracy	5.016460697738985	(.f64 y (.f64 x x))

Samples

51.0ms

256×

valid

Compiler

Compiled 77 to 17 computations (77.9% saved)

Precisions

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

ival-mult: 16.0ms (94.8% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.5%)

Memory

-25.9MiB live, 13.3MiB allocated

Counts

12 → 216

Calls

Call 1

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

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

Calls

6 calls:

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

simplify8.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	1128
1	22	1128
2	32	1128
3	36	1128
0	36	1128

Stop Event

1×	iter limit
1×	saturated

Counts

216 → 216

Calls

Call 1

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

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

rewrite134.0ms (2%)

Memory

13.0MiB live, 51.9MiB allocated

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
1 412×	`prod-exp`
1 276×	`lower-*.f32`
1 266×	`lower-*.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	28	88
1	50	88
2	68	88
3	84	88
4	156	88
5	448	36
6	2314	34
7	2344	34
8	2473	34
9	3690	34
0	8682	34

Stop Event

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

Counts

12 → 35

Calls

Call 1

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

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>
#<batchref>
#<batchref>

eval164.0ms (2.4%)

Memory: -11.7MiB live, 68.8MiB allocated
Compiler: Compiled 1 895 to 68 computations (96.4% saved)

prune113.0ms (1.7%)

Memory

-1.5MiB live, 38.0MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	263	2	265
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	263	8	271

Accuracy

100.0%

Counts

271 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.1%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
▶	99.8%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) y) x) x)
✓	27.9%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	27.9%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	92.1%	(.f64 #s(approx ( (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) y)
✓	4.9%	(*.f64 y #s(literal 3 binary64))
✓	92.1%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64)))
▶	27.9%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 49 to 46 computations (6.1% saved)

simplify5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	17	42
1	32	42
2	44	42
3	47	42
0	47	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize108.0ms (1.6%)

Memory

-3.4MiB live, 35.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.10546875	(.f64 (.f64 (*.f64 #s(literal 3 binary64) y) x) x)
accuracy	0.2109375	(.f64 (.f64 #s(literal 3 binary64) y) x)
accuracy	0	(*.f64 y x)
accuracy	0.26171875	(.f64 (.f64 y x) #s(literal 3 binary64))
accuracy	46.16450942368238	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Samples

102.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 93.0ms (99.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

6 calls:

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

simplify6.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	684
1	20	684
2	33	684
3	38	684
0	38	684

Stop Event

1×	iter limit
1×	saturated

Counts

132 → 132

Calls

Call 1

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

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

rewrite125.0ms (1.9%)

Memory

9.0MiB live, 50.9MiB allocated

Rules

2 096×	`lower-pow.f64`
2 096×	`lower-pow.f32`
1 412×	`prod-exp`
1 264×	`lower-*.f32`
1 256×	`lower-*.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	36
0	17	36
1	32	36
2	46	36
3	54	36
4	70	36
5	142	36
6	439	22
7	2256	20
8	2283	20
9	2406	20
10	3644	20
0	8565	20

Stop Event

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

Counts

6 → 20

Calls

Call 1

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

eval91.0ms (1.4%)

Memory: -17.6MiB live, 22.0MiB allocated
Compiler: Compiled 1 120 to 38 computations (96.6% saved)

prune100.0ms (1.5%)

Memory

-13.1MiB live, 26.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	151	9	160

Accuracy

100.0%

Counts

160 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.1%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	99.8%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) y) x) x)
✓	27.9%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	27.9%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	92.1%	(.f64 #s(approx ( (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) y)
▶	99.8%	(.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x)
✓	4.9%	(*.f64 y #s(literal 3 binary64))
✓	92.1%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64)))
✓	27.9%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 57 to 53 computations (7% saved)

simplify4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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 (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x)

Rules

28×	`lower-*.f32`
22×	`lower-*.f64`
12×	`*-commutative`
6×	`lift-*.f64`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	12	35
1	20	35
2	24	35
0	24	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize19.0ms (0.3%)

Memory

21.5MiB live, 21.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	#s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64)))
accuracy	0.10546875	(.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x)
accuracy	0.26171875	(.f64 (.f64 y x) #s(literal 3 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

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

ival-mult: 7.0ms (91.9% of total)

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

exact: 0.0ms (0% of total)

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

series88.0ms (1.3%)

Memory

-27.7MiB live, 11.9MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.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 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor 0 y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.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 (* (pow x 2) y)) (taylor inf y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor inf y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor inf y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor inf y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.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 (* (pow x 2) y)) (taylor -inf y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf y) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.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 (* (pow x 2) y)) (taylor 0 x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor 0 x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor 0 x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor 0 x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.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 (* (pow x 2) y)) (taylor inf x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor inf x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor inf x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor inf x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.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 (* (pow x 2) y)) (taylor -inf x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) (patch (.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (* (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (* (* 3 y) x) (.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	y	@	-inf	((* (* (* 3 y) x) x) (* (* 3 y) x) (* (* y x) 3) (* y x))
1.0ms	x	@	-inf	((* (* (* 3 y) x) x) (* (* 3 y) x) (* (* y x) 3) (* y x))
1.0ms	y	@	0	((* (* (* 3 y) x) x) (* (* 3 y) x) (* (* y x) 3) (* y x))
1.0ms	x	@	inf	((* (* (* 3 y) x) x) (* (* 3 y) x) (* (* y x) 3) (* y x))
1.0ms	y	@	inf	((* (* (* 3 y) x) x) (* (* 3 y) x) (* (* y x) 3) (* y x))

simplify5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	480
1	18	480
2	33	480
3	42	480
0	42	480

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

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

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

rewrite8.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Rules

28×	`lower-*.f32`
22×	`lower-*.f64`
12×	`*-commutative`
6×	`lift-*.f64`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	12	32
1	20	32
2	24	32
0	24	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

4 → 11

Calls

Call 1

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

eval10.0ms (0.1%)

Memory: 16.4MiB live, 16.4MiB allocated
Compiler: Compiled 904 to 40 computations (95.6% saved)

prune103.0ms (1.5%)

Memory

-11.0MiB live, 29.8MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	106	10	116

Accuracy

100.0%

Counts

116 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.1%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	99.8%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) y) x) x)
✓	27.9%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	27.9%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	92.1%	(.f64 #s(approx ( (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) y)
✓	99.8%	(.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x)
	99.7%	(.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 x #s(literal 3 binary64)) y)) x)
✓	4.9%	(*.f64 y #s(literal 3 binary64))
✓	92.1%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64)))
✓	27.9%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 130 to 87 computations (33.1% saved)

regimes15.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes52.0ms (0.8%)

Memory

-31.1MiB live, 8.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	y
3.0ms	x
2.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
2.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Results

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

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes10.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
92.1%	1	`x`
92.1%	1	`y`
92.1%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
92.1%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes9.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
27.9%	1	`y`
27.9%	1	`x`
27.9%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
27.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes5.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
4.9%	1	`x`
4.9%	1	`y`
4.9%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
4.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify101.0ms (1.5%)

Memory

-18.7MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	57
1	31	57

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness4.1s (61.9%)

Memory

26.4MiB live, 144.8MiB allocated

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	9	264
1	15	264
2	27	264
3	47	264
4	48	264
0	48	264
0	10	684
1	20	684
2	33	684
3	38	684
0	38	684
0	18	78
0	28	88
1	50	88
2	68	88
3	84	88
4	156	88
5	448	36
6	2314	34
7	2344	34
8	2473	34
9	3690	34
0	8682	34
0	6	15
0	9	17
1	15	17
2	29	17
3	47	17
4	58	17
5	74	17
6	146	17
7	444	5
8	2255	5
9	2281	5
10	2404	5
11	3620	5
0	8584	5
0	9	32
0	12	32
1	20	32
2	24	32
0	24	32

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Compiler

Compiled 77 to 55 computations (28.6% saved)

preprocess164.0ms (2.4%)

Memory

-5.5MiB live, 150.7MiB allocated

Remove

(negabs y)

(abs x)

Compiler

Compiled 222 to 170 computations (23.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample628.0ms (9.4%)

explain69.0ms (1%)

preprocess80.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize15.0ms (0.2%)

series6.0ms (0.1%)

simplify4.0ms (0.1%)

rewrite168.0ms (2.5%)

eval5.0ms (0.1%)

prune9.0ms (0.1%)

simplify6.0ms (0.1%)

localize61.0ms (0.9%)

series34.0ms (0.5%)

simplify8.0ms (0.1%)

rewrite134.0ms (2%)

eval164.0ms (2.4%)

prune113.0ms (1.7%)

simplify5.0ms (0.1%)

localize108.0ms (1.6%)

series8.0ms (0.1%)

simplify6.0ms (0.1%)

rewrite125.0ms (1.9%)

eval91.0ms (1.4%)

prune100.0ms (1.5%)

simplify4.0ms (0.1%)

localize19.0ms (0.3%)

series88.0ms (1.3%)

simplify5.0ms (0.1%)

rewrite8.0ms (0.1%)

eval10.0ms (0.1%)

prune103.0ms (1.5%)

regimes15.0ms (0.2%)

regimes52.0ms (0.8%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

simplify101.0ms (1.5%)

soundness4.1s (61.9%)

preprocess164.0ms (2.4%)

end0.0ms (0%)

Profiling