Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, E

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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 17 to 9 computations (47.1% saved)

sample732.0ms (20.5%)

Memory

-26.2MiB live, 926.9MiB allocated

Samples

482.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-mult: 150.0ms (53.3% of total)

ival-add: 122.0ms (43.4% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 4.0ms (1.4% of total)

Bogosity

explain108.0ms (3%)

Memory

18.7MiB live, 215.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))`
-	-	`(+.f64 (.f64 x x) (.f64 y y))`
-	-	`y`
-	-	`(*.f64 y y)`
-	-	`(*.f64 x x)`
-	-	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 142 to 32 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 12.0ms (60.1% of total)

ival-mult: 7.0ms (35.1% of total)

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

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

preprocess38.0ms (1.1%)

Memory

-0.2MiB live, 37.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	64	67
2	171	47
3	517	45
4	1117	45
5	1322	45
6	1332	45
0	7	15
0	12	15
1	18	13
2	28	9
3	40	9
4	48	9
5	51	9
0	51	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	192	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
cost-diff	512	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	41
0	12	41
1	18	37
2	28	33
3	40	33
4	48	33
5	51	33
0	51	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y

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

localize22.0ms (0.6%)

Memory

2.2MiB live, 39.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
accuracy	0.05859375	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

17.0ms

256×

valid

Compiler

Compiled 84 to 16 computations (81% saved)

Precisions

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

ival-add: 6.0ms (60.1% of total)

ival-mult: 3.0ms (30.1% of total)

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

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

series14.0ms (0.4%)

Memory

-22.6MiB live, 16.7MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<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 (pow x 2) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<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>) () ())) ())

Calls

6 calls:

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

simplify152.0ms (4.3%)

Memory

27.4MiB live, 185.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	588
1	86	588
2	217	588
3	853	588
4	2013	588
5	2661	588
6	4205	588
7	5672	588
8	6662	588
9	7939	588
0	8060	534

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y 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)

rewrite193.0ms (5.4%)

Memory

-10.4MiB live, 271.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	39
0	12	39
1	54	35
2	517	29
3	7592	29
0	8199	26

Stop Event

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

Counts

5 → 337

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y y)

Outputs
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eval49.0ms (1.4%)

Memory: -15.4MiB live, 108.7MiB allocated
Compiler: Compiled 11 477 to 1 089 computations (90.5% saved)

prune11.0ms (0.3%)

Memory

-0.6MiB live, 38.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	463	6	469
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	464	6	470

Accuracy

100.0%

Counts

470 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
	99.9%	(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
▶	99.9%	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
▶	78.8%	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
▶	57.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
▶	59.7%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 92 to 70 computations (23.9% saved)

simplify5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
cost-diff	128	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	139
0	31	138
1	51	118
2	63	118
3	71	118
0	71	115

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(.f64 (.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
y
#s(literal 3 binary64)
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
#s(literal 3 binary64)
(*.f64 y y)
y
(*.f64 x x)
x

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
y
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
y
#s(literal 3 binary64)
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
#s(literal 3 binary64)
(*.f64 y y)
y
(*.f64 x x)
x

localize73.0ms (2%)

Memory

-7.3MiB live, 77.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
accuracy	25.759128179901584	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	0.12109375	(.f64 (.f64 y y) #s(literal 3 binary64))
accuracy	27.200142569513243	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	25.761983845716923	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
accuracy	0	(fma.f64 y y (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.0234375	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))

Samples

61.0ms

256×

valid

Compiler

Compiled 214 to 33 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 9.0ms (55.2% of total)

ival-add: 7.0ms (42.9% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

11 → 216

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal 3 binary64)) (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 3 binary64)) (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 3 binary64)) (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 3 binary64)) (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 3 binary64)) (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)))
1.0ms	x	@	inf	((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)))
1.0ms	y	@	-inf	((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)))
1.0ms	y	@	0	((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)))
1.0ms	x	@	-inf	((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)))

simplify213.0ms (6%)

Memory

0.5MiB live, 76.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	1428
1	97	1428
2	237	1428
3	944	1428
4	2231	1428
5	2876	1428
6	4467	1428
7	6000	1428
8	6978	1428
0	8136	1302

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))

Outputs
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 2 (pow y 2))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 2 (pow y 2))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y 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)
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* 2 (pow y 2))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))

rewrite311.0ms (8.7%)

Memory

6.0MiB live, 117.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	113
0	31	112
1	130	92
2	1155	88
0	8283	85

Stop Event

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

Counts

11 → 476

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(.f64 (.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))

Outputs
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eval169.0ms (4.7%)

Memory: -6.2MiB live, 79.5MiB allocated
Compiler: Compiled 15 614 to 941 computations (94% saved)

prune46.0ms (1.3%)

Memory

10.1MiB live, 46.7MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	779	3	782
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	782	6	788

Accuracy

100.0%

Counts

788 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
✓	99.9%	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
▶	57.5%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
✓	57.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
▶	57.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	59.7%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 40 to 33 computations (17.5% saved)

simplify5.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
cost-diff	0	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
cost-diff	-128	(+.f64 y y)
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
cost-diff	384	(fma.f64 y (+.f64 y y) (*.f64 y y))
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) y) y)
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	108
0	26	94
1	42	86
2	53	86
3	57	86
0	57	82

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) y) y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y (+.f64 y y) (*.f64 y y))
(.f64 (.f64 y y) #s(literal 3 binary64))
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y y)
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
y
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x

localize55.0ms (1.5%)

Memory

4.1MiB live, 40.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0234375	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
accuracy	25.759128179901584	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 y y)
accuracy	0.05859375	(fma.f64 y (+.f64 y y) (*.f64 y y))
accuracy	27.200142569513243	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.14453125	(.f64 (.f64 #s(literal 3 binary64) y) y)
accuracy	27.200142569513243	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))

Samples

45.0ms

256×

valid

Compiler

Compiled 145 to 29 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (49% of total)

ival-add: 6.0ms (42% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

10 → 168

Calls

Call 1

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

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) y) (patch (.f64 (.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) y) (patch (.f64 (.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) y) (patch (.f64 (.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) y) y) (patch (.f64 (.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (.f64 y y)) (patch (fma.f64 y (+.f64 y y) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (.f64 y y)) (patch (fma.f64 y (+.f64 y y) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (.f64 y y)) (patch (fma.f64 y (+.f64 y y) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (.f64 y y)) (patch (fma.f64 y (+.f64 y y) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y 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 (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y 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>) () ())) ())

Calls

6 calls:

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

simplify125.0ms (3.5%)

Memory

4.0MiB live, 42.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1008
1	74	1008
2	182	1008
3	668	1008
4	2242	1008
5	3075	1008
6	5649	1008
7	7687	1008
0	8139	936

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y 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 y)
(*.f64 y #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y 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 y)
(*.f64 y #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* 2 (pow y 2))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y 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 y)
(*.f64 y #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* 2 (pow y 2))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* 2 (pow y 2))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) 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)

rewrite80.0ms (2.2%)

Memory

-36.3MiB live, 17.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	103
0	26	89
1	103	77
0	876	73

Stop Event

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

Counts

10 → 125

Calls

Call 1

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

Outputs
#<batchref>
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eval39.0ms (1.1%)

Memory: -2.4MiB live, 36.0MiB allocated
Compiler: Compiled 3 120 to 315 computations (89.9% saved)

prune12.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	293	0	293
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	293	6	299

Accuracy

100.0%

Counts

299 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.8%	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
✓	99.9%	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
✓	57.5%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
✓	57.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
✓	57.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	59.7%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 123 to 60 computations (51.2% saved)

regimes18.0ms (0.5%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))

Calls

5 calls:

4.0ms	y
4.0ms	x
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	(*.f64 y y)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes53.0ms (1.5%)

Memory

-19.6MiB live, 20.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))

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

Calls

5 calls:

40.0ms	(*.f64 y y)
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes13.0ms (0.4%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))

Calls

5 calls:

3.0ms	x
3.0ms	y
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
2.0ms	(*.f64 y y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
92.8%	2	`x`
85.3%	2	`y`
78.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
92.8%	2	`(*.f64 x x)`
85.3%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes30.0ms (0.8%)

Memory

-29.7MiB live, 6.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
92.7%	2	`x`
92.7%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes7.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

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

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
84.8%	2	`y`
84.8%	2	`(*.f64 y y)`
84.8%	2	`x`
84.8%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
84.8%	2	`y`
84.8%	2	`(*.f64 y y)`
84.8%	2	`x`
84.8%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Calls

5 calls:

1.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
59.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
59.7%	1	`x`
59.7%	1	`(*.f64 x x)`
59.7%	1	`y`
59.7%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch39.0ms (1.1%)

Memory

-32.2MiB live, 10.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	2.168993355834643e-81	5.0719314325050765e-74

Samples

6.0ms

144×

valid

Compiler

Compiled 144 to 120 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (64.3% of total)

ival-mult: 1.0ms (32.2% of total)

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

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.168993355834643e-81	5.0719314325050765e-74

Compiler

Compiled 117 to 120 computations (-2.6% saved)

bsearch14.0ms (0.4%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.1136588965695433e-15	1.9626350719171635

Samples

7.0ms

160×

valid

Compiler

Compiled 98 to 122 computations (-24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (58.6% of total)

ival-mult: 1.0ms (29.3% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.817573912846964e-88	4.872394717428491e-84

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify33.0ms (0.9%)

Memory

13.5MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	223
1	40	223

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 2349585739513001/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 2349585739513001/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 2281771080410813/316912650057057350374175801344 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 8958978968711217/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (fma.f64 y y (.f64 x x)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 2349585739513001/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (.f64 y y))) (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 2349585739513001/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 2281771080410813/316912650057057350374175801344 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 8958978968711217/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

soundness759.0ms (21.2%)

Memory

-5.8MiB live, 388.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	588
1	86	588
2	217	588
3	853	588
4	2013	588
5	2661	588
6	4205	588
7	5672	588
8	6662	588
9	7939	588
0	8060	534
0	20	113
0	31	112
1	130	92
2	1155	88
0	8283	85
0	7	39
0	12	39
1	54	35
2	517	29
3	7592	29
0	8199	26

Stop Event

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

Compiler

Compiled 242 to 117 computations (51.7% saved)

preprocess116.0ms (3.2%)

Memory

11.8MiB live, 177.1MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 332 to 146 computations (56% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample732.0ms (20.5%)

explain108.0ms (3%)

preprocess38.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize22.0ms (0.6%)

series14.0ms (0.4%)

simplify152.0ms (4.3%)

rewrite193.0ms (5.4%)

eval49.0ms (1.4%)

prune11.0ms (0.3%)

simplify5.0ms (0.1%)

localize73.0ms (2%)

series12.0ms (0.3%)

simplify213.0ms (6%)

rewrite311.0ms (8.7%)

eval169.0ms (4.7%)

prune46.0ms (1.3%)

simplify5.0ms (0.1%)

localize55.0ms (1.5%)

series10.0ms (0.3%)

simplify125.0ms (3.5%)

rewrite80.0ms (2.2%)

eval39.0ms (1.1%)

prune12.0ms (0.3%)

regimes18.0ms (0.5%)

regimes53.0ms (1.5%)

regimes13.0ms (0.4%)

regimes30.0ms (0.8%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch39.0ms (1.1%)

bsearch1.0ms (0%)

bsearch14.0ms (0.4%)

bsearch0.0ms (0%)

simplify33.0ms (0.9%)

soundness759.0ms (21.2%)

preprocess116.0ms (3.2%)

end0.0ms (0%)

Profiling