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)

sample505.0ms (8.3%)

Memory

7.7MiB live, 1 009.2MiB allocated

Samples

307.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-mult: 148.0ms (91.9% of total)

ival-true: 5.0ms (3.1% of total)

exact: 4.0ms (2.5% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain95.0ms (1.6%)

Memory

-47.9MiB live, 66.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
43	-	2	(6.809792080515963e-158 2.812927723892111e+252)	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
0	-	0	-	`y`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(*.f64 x #s(literal 3 binary64))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`	*no**	21	0
`*.f64`	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`	*nu**	20	0

Confusion

	Predicted +	Predicted -
+	41	2
-	0	213

Precision

1.0

Recall

0.9534883720930233

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	2
-	0	0	213

Precision?

1.0

Recall?

0.9534883720930233

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

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

ival-mult: 9.0ms (91.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess36.0ms (0.6%)

Memory

29.9MiB live, 29.9MiB 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 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify35.0ms (0.6%)

Memory

-32.4MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

localize14.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.109375	(.f64 (.f64 x #s(literal 3 binary64)) x)
accuracy	9.622130930611256	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)

Samples

10.0ms

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 (88.4% 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

8.2MiB live, 8.2MiB 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))

simplify5.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB 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))

rewrite129.0ms (2.1%)

Memory

-16.1MiB live, 65.3MiB 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
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 x (.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
#s(literal 3 binary64)

eval4.0ms (0.1%)

Memory: 5.2MiB live, 5.2MiB allocated
Compiler: Compiled 410 to 17 computations (95.9% saved)

prune6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB 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

85.1%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
▶	25.7%	(.f64 (.f64 #s(literal 3 binary64) y) x)
▶	25.7%	(.f64 (.f64 #s(literal 3 binary64) x) y)
▶	84.9%	(.f64 #s(approx ( (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) y)
▶	4.7%	(*.f64 y #s(literal 3 binary64))
▶	84.9%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64)))

Compiler

Compiled 87 to 58 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB 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

localize57.0ms (0.9%)

Memory

3.6MiB live, 42.6MiB 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	0.15625	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	9.622130930611256	(.f64 #s(approx ( (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) y)
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.21875	(.f64 (.f64 #s(literal 3 binary64) y) x)
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.19140625	(.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	0.18359375	(.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64))
accuracy	9.614918066643032	(.f64 y (.f64 x x))

Samples

47.0ms

256×

valid

Compiler

Compiled 77 to 17 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 35.0ms (97.4% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.8%)

Memory

-26.4MiB live, 12.5MiB 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>) () ())) ())
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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 (* 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
39.0ms	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))
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	x	@	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))

simplify8.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB 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)

rewrite116.0ms (1.9%)

Memory

19.5MiB live, 58.5MiB 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
#s(approx (* (* (* x 3) x) y) (*.f64 #s(literal 3 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 y #s(approx (* (* x 3) x) #s(literal 3 binary64))) x)
(.f64 y #s(approx ( (* x 3) x) #s(literal 3 binary64)))
(.f64 x (.f64 y #s(approx (* (* x 3) x) #s(literal 3 binary64))))
(.f64 #s(approx ( (* x 3) x) #s(literal 3 binary64)) y)
(.f64 x #s(approx ( (* x 3) x) #s(literal 3 binary64)))
(.f64 #s(approx ( (* x 3) x) #s(literal 3 binary64)) x)
#s(approx (* (* x 3) x) #s(literal 3 binary64))
#s(literal 3 binary64)

eval209.0ms (3.4%)

Memory: -26.6MiB live, 50.4MiB allocated
Compiler: Compiled 1 897 to 31 computations (98.4% saved)

prune17.0ms (0.3%)

Memory

32.1MiB live, 32.1MiB 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

99.8%

Counts

271 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
▶	99.7%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) y) x) x)
✓	25.7%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	25.7%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	84.9%	(.f64 #s(approx ( (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64))) y)
✓	4.7%	(*.f64 y #s(literal 3 binary64))
✓	84.9%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64)))
▶	25.7%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 65 to 43 computations (33.8% saved)

simplify103.0ms (1.7%)

Memory

-27.2MiB live, 10.1MiB 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

localize106.0ms (1.7%)

Memory

-3.4MiB live, 35.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.12109375	(.f64 (.f64 (*.f64 #s(literal 3 binary64) y) x) x)
accuracy	0.21875	(.f64 (.f64 #s(literal 3 binary64) y) x)
accuracy	0	(*.f64 y x)
accuracy	0.1953125	(.f64 (.f64 y x) #s(literal 3 binary64))
accuracy	47.53453458722478	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

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

ival-mult: 11.0ms (98.5% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB 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>) () ())) ())
#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 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#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 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 inf 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 inf 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 inf 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 inf 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 (* 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 (.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 y) (#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 y) (#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 y) (#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 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>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf 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 -inf 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 -inf 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 -inf 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 (* 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 (.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 y) (#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 y) (#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 y) (#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 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>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor 0 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 0 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 0 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 0 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 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 0 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 0 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 0 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 0 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 0 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 0 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 0 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 0 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 #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>) () ())) ())
#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	y	@	0	((* (* (* 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	@	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

7.5MiB live, 7.5MiB 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))

rewrite98.0ms (1.6%)

Memory

11.2MiB live, 56.8MiB 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
#s(approx (* (* (* x 3) x) y) (*.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 x (.f64 y #s(literal 3 binary64)))
(*.f64 y x)
(*.f64 x y)
y
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 x (.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 x (.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 x (.f64 y #s(literal 3 binary64)))

eval44.0ms (0.7%)

Memory: -13.6MiB live, 25.5MiB allocated
Compiler: Compiled 1 122 to 21 computations (98.1% saved)

prune43.0ms (0.7%)

Memory

-22.1MiB live, 17.0MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	0	0
Picked	0	2	2
Done	1	5	6
Total	152	8	160

Accuracy

99.9%

Counts

160 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	99.7%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) y) x) x)
✓	25.7%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	25.7%	(.f64 (.f64 #s(literal 3 binary64) x) y)
▶	99.7%	(.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x)
✓	4.7%	(*.f64 y #s(literal 3 binary64))
✓	84.9%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64)))
✓	25.7%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 65 to 43 computations (33.8% saved)

simplify4.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB 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)

localize18.0ms (0.3%)

Memory

24.2MiB live, 24.2MiB 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	0.12109375	(.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 y x) #s(literal 3 binary64))) x)
accuracy	0.1953125	(.f64 (.f64 y x) #s(literal 3 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

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

ival-mult: 7.0ms (95.8% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.6%)

Memory

-27.9MiB live, 11.1MiB 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	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))
1.0ms	y	@	0	((* (* (* 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))
1.0ms	x	@	inf	((* (* (* 3 y) x) x) (* (* 3 y) x) (* (* y x) 3) (* y x))

simplify5.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	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)

rewrite9.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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
(.f64 #s(approx ( (* 3 y) x) (.f64 (.f64 x y) #s(literal 3 binary64))) x)
(.f64 x #s(approx ( (* 3 y) x) (.f64 (.f64 x y) #s(literal 3 binary64))))
#s(approx (* (* 3 y) x) (.f64 (.f64 x y) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 x (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 x y)
(*.f64 y x)

eval9.0ms (0.1%)

Memory: 17.0MiB live, 17.0MiB allocated
Compiler: Compiled 906 to 25 computations (97.2% saved)

prune48.0ms (0.8%)

Memory

-27.6MiB live, 16.9MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	106	9	115

Accuracy

99.9%

Counts

115 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.9%	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
✓	99.7%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) y) x) x)
✓	25.7%	(.f64 (.f64 #s(literal 3 binary64) y) x)
✓	25.7%	(.f64 (.f64 #s(literal 3 binary64) x) y)
✓	99.7%	(.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)
✓	4.7%	(*.f64 y #s(literal 3 binary64))
✓	84.9%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y (*.f64 x x)) #s(literal 3 binary64)))
✓	25.7%	#s(approx (* (* (* x 3) x) y) (.f64 (.f64 y x) #s(literal 3 binary64)))

Compiler

Compiled 142 to 71 computations (50% saved)

regimes15.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB 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 x #s(literal 3 binary64)) y)) 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
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
99.7%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes11.0ms (0.2%)

Memory

-21.9MiB live, 17.7MiB 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:

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

Results

Accuracy	Segments	Branch
84.9%	1	`x`
84.9%	1	`y`
84.9%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
84.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB 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	y
2.0ms	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
25.7%	1	`y`
25.7%	1	`x`
25.7%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
25.7%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes64.0ms (1.1%)

Memory

-25.8MiB live, 13.6MiB 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:

60.0ms	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)
1.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

Accuracy	Segments	Branch
4.7%	1	`(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) y)`
4.7%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
4.7%	1	`x`
4.7%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	28	44

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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 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))

soundness4.0s (65.7%)

Memory

-5.1MiB live, 231.0MiB 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	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	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	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 74 to 42 computations (43.2% saved)

preprocess144.0ms (2.4%)

Memory

14.8MiB live, 91.7MiB allocated

Remove

(negabs y)

(abs x)

Compiler

Compiled 210 to 120 computations (42.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample505.0ms (8.3%)

explain95.0ms (1.6%)

preprocess36.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (0.6%)

localize14.0ms (0.2%)

series6.0ms (0.1%)

simplify5.0ms (0.1%)

rewrite129.0ms (2.1%)

eval4.0ms (0.1%)

prune6.0ms (0.1%)

simplify6.0ms (0.1%)

localize57.0ms (0.9%)

series50.0ms (0.8%)

simplify8.0ms (0.1%)

rewrite116.0ms (1.9%)

eval209.0ms (3.4%)

prune17.0ms (0.3%)

simplify103.0ms (1.7%)

localize106.0ms (1.7%)

series8.0ms (0.1%)

simplify6.0ms (0.1%)

rewrite98.0ms (1.6%)

eval44.0ms (0.7%)

prune43.0ms (0.7%)

simplify4.0ms (0.1%)

localize18.0ms (0.3%)

series36.0ms (0.6%)

simplify5.0ms (0.1%)

rewrite9.0ms (0.1%)

eval9.0ms (0.1%)

prune48.0ms (0.8%)

regimes15.0ms (0.3%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

regimes64.0ms (1.1%)

simplify6.0ms (0.1%)

soundness4.0s (65.7%)

preprocess144.0ms (2.4%)

end0.0ms (0%)

Profiling