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

0.6MiB live, 0.6MiB 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)

sample864.0ms (13.2%)

Memory

7.6MiB live, 1 074.9MiB allocated

Samples

606.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 300.0ms

ival-mult: 166.0ms (55.4% of total)

ival-add: 126.0ms (42% of total)

ival-true: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain98.0ms (1.5%)

Memory

0.2MiB live, 158.1MiB 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

28.0ms

512×

valid

Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (53.2% of total)

ival-add: 6.0ms (45.6% of total)

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

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

preprocess59.0ms (0.9%)

Memory

-4.9MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Rules

188×	`unsub-neg`
188×	`sub-neg`
170×	`cancel-sign-sub`
142×	`distribute-lft-neg-in`
130×	`associate-r`

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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.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

7.5MiB live, 7.5MiB 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))

Rules

52×	`lower-fma.f64`
52×	`lower-fma.f32`
36×	`lower-+.f32`
30×	`lower-+.f64`
28×	`lower-*.f32`

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

localize21.0ms (0.3%)

Memory

-7.5MiB live, 28.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 y y))
accuracy	0.08984375	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

16.0ms

256×

valid

Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (47.1% of total)

ival-mult: 3.0ms (47.1% of total)

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

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

series6.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

4 → 84

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>) () ())

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 (* 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 (* 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 (+ (* 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	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x))
1.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x))
1.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x))
1.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x))
1.0ms	x	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x))

simplify175.0ms (2.7%)

Memory

-18.6MiB live, 178.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 540×	`lower-fma.f64`
10 540×	`lower-fma.f32`
6 708×	`lower-*.f64`
6 708×	`lower-*.f32`
1 856×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	552
1	86	552
2	217	552
3	853	552
4	2013	552
5	2661	552
6	4205	552
7	5672	552
8	6662	552
9	7939	552
0	8060	498

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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))
(* 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))))
(* 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))))
(+ (* 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))
(* 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))
(* 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))
(+ (* 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)

rewrite228.0ms (3.5%)

Memory

15.2MiB live, 259.0MiB allocated

Rules

9 354×	`lower-fma.f64`
9 354×	`lower-fma.f32`
4 470×	`lower-*.f32`
4 466×	`lower-*.f64`
3 310×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	36
0	12	36
1	54	32
2	517	26
3	7592	26
0	8199	23

Stop Event

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

Counts

4 → 331

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)

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 y y) (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))
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(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 18 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (neg.f64 (fma.f64 y y (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y y (.f64 x x)) y) y (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (.f64 x x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 y y (*.f64 x x))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval44.0ms (0.7%)

Memory: -3.3MiB live, 78.8MiB allocated
Compiler: Compiled 10 601 to 1 046 computations (90.1% saved)

prune11.0ms (0.2%)

Memory

-6.0MiB live, 33.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	408	7	415
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	409	7	416

Accuracy

100.0%

Counts

416 → 7

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))
	43.5%	(+.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) (.f64 y y))
▶	76.5%	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
▶	54.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
▶	58.0%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 162 to 100 computations (38.3% saved)

simplify6.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB 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)))

Rules

54×	`lower-fma.f32`
48×	`lower-fma.f64`
40×	`lower-+.f32`
38×	`lower-+.f64`
28×	`lower-*.f32`

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

localize40.0ms (0.6%)

Memory

-5.9MiB live, 69.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.08984375	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.08984375	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
accuracy	26.887008881356625	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	0.19921875	(.f64 (.f64 y y) #s(literal 3 binary64))
accuracy	29.12308448654504	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	26.89162087948999	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.03515625	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))

Samples

28.0ms

256×

valid

Compiler

Compiled 127 to 18 computations (85.8% saved)

Precisions

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

ival-mult: 10.0ms (58.7% of total)

ival-add: 6.0ms (35.2% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-15.7MiB live, 28.5MiB 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>) () ())) ())
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#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>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#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 (pow x 2) (taylor -inf x) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#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 -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 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* 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 #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) (+ 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 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* 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 #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 -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	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	@	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)))

simplify153.0ms (2.3%)

Memory

21.3MiB live, 208.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 394×	`lower-fma.f64`
10 394×	`lower-fma.f32`
6 572×	`lower-*.f64`
6 572×	`lower-*.f32`
1 976×	`lower-/.f32`

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))

rewrite490.0ms (7.5%)

Memory

-140.7MiB live, 320.7MiB allocated

Rules

7 230×	`lower-fma.f32`
7 224×	`lower-fma.f64`
4 500×	`lower-/.f64`
4 500×	`lower-/.f32`
3 920×	`lower-*.f32`

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
(.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y (.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (*.f64 y y)))))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x)))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x)))))))
(.f64 (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x)))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 (fma.f64 y y (.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x)))) (.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))))
(/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) (.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 0 binary64) (neg.f64 (.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (.f64 (+.f64 y x) (-.f64 y x))) (.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 0 binary64) (neg.f64 (.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (-.f64 x y)) (.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (fma.f64 #s(literal 0 binary64) (.f64 (+.f64 y x) (-.f64 y x)) (.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 0 binary64) (.f64 (+.f64 y x) (-.f64 y x))))
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(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (.f64 x x))))))
(+.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 y y)) (*.f64 x x))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x)))
(+.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 y y))
(+.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (*.f64 y y)))

eval122.0ms (1.9%)

Memory: 5.0MiB live, 122.4MiB allocated
Compiler: Compiled 15 614 to 941 computations (94% saved)

prune97.0ms (1.5%)

Memory

6.3MiB live, 45.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	779	3	782
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	782	7	789

Accuracy

100.0%

Counts

789 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(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))
▶	43.5%	(+.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) (.f64 y y))
▶	54.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
✓	54.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
▶	54.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	58.0%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 75 to 48 computations (36% saved)

simplify266.0ms (4%)

Memory

9.8MiB live, 162.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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	0	(*.f64 (-.f64 x y) (+.f64 y x))
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (*.f64 y y))
cost-diff	192	(+.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) (.f64 y y))
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))

Rules

12 996×	`lower-fma.f32`
12 990×	`lower-fma.f64`
2 772×	`lower--.f32`
2 770×	`lower--.f64`
2 408×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	260
0	49	244
1	104	236
2	234	230
3	564	223
4	1182	223
5	2687	223
6	4157	223
7	4891	223
8	5477	223
9	5604	223
10	5690	223
11	7358	223
12	7849	223
0	8449	217

Stop Event

1×	iter limit
1×	node limit
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)
(+.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) (.f64 y y))
(+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (*.f64 y y))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(*.f64 x x)
x
(/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
y
(+.f64 y x)
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(*.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)
#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)
(+.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) (.f64 y y))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y)))))
(+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (*.f64 y y))
(fma.f64 y y (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 x x)
x
(/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 x (-.f64 x y)))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(-.f64 x y)
y
(+.f64 y x)
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 y x)) (-.f64 y x))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(*.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

localize187.0ms (2.8%)

Memory

12.2MiB live, 90.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.03125	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
accuracy	26.887008881356625	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
accuracy	0.08984375	(+.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) (.f64 y y))
accuracy	1.3945312500000002	(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))
accuracy	22.979720865374208	(/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x)))
accuracy	25.624991680882523	(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 y y)
accuracy	0.0703125	(fma.f64 y (+.f64 y y) (*.f64 y y))
accuracy	29.12308448654504	#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	0.1640625	(.f64 (.f64 #s(literal 3 binary64) y) y)
accuracy	29.12308448654504	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))

Samples

169.0ms

256×

valid

Compiler

Compiled 244 to 28 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 10.0ms (35.7% of total)

ival-mult: 10.0ms (35.7% of total)

ival-div: 3.0ms (10.7% of total)

ival-pow: 3.0ms (10.7% of total)

ival-sub: 1.0ms (3.6% of total)

ival-neg: 1.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series82.0ms (1.3%)

Memory

-18.3MiB live, 34.3MiB allocated

Counts

16 → 312

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 (+.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) (.f64 y y)) (patch (+.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) (patch (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<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 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (patch (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y 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>) () ())) ())
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#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) (* (pow y 6) (+ y (* -1 y)))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ y (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (patch (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (patch (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) x)))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (patch (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (patch (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
56.0ms	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) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* x x) (* (- x y) (+ y x)) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (/ (pow y 4) (* (- x y) (+ y x))) (/ (* x x) (* (- x y) (+ y x))) (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))))
4.0ms	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) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* x x) (* (- x y) (+ y x)) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (/ (pow y 4) (* (- x y) (+ y x))) (/ (* x x) (* (- x y) (+ y x))) (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))))
3.0ms	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) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* x x) (* (- x y) (+ y x)) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (/ (pow y 4) (* (- x y) (+ y x))) (/ (* x x) (* (- x y) (+ y x))) (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))))
3.0ms	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) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* x x) (* (- x y) (+ y x)) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (/ (pow y 4) (* (- x y) (+ y x))) (/ (* x x) (* (- x y) (+ y x))) (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))))
3.0ms	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) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* x x) (* (- x y) (+ y x)) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (/ (pow y 4) (* (- x y) (+ y x))) (/ (* x x) (* (- x y) (+ y x))) (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))))

simplify131.0ms (2%)

Memory

-1.6MiB live, 72.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 114×	`lower-fma.f64`
4 114×	`lower-fma.f32`
1 804×	`lower-+.f64`
1 804×	`lower-+.f32`
1 616×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	525	3826
1	1701	2762
2	7348	2676
0	8065	2544

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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)
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(pow x 2)
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 2 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 2 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (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))
(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 y 4) (pow x 2))
(* (pow y 4) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4))))
(* (pow y 4) (+ (* (pow y 2) (+ (/ 1 (pow x 4)) (/ (pow y 2) (pow x 6)))) (/ 1 (pow x 2))))
(* (pow y 4) (+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 6)) (/ (pow y 2) (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
1
(+ 1 (/ (pow y 2) (pow x 2)))
(+ 1 (* (pow y 2) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4)))))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 4)) (/ (pow y 2) (pow x 6)))) (/ 1 (pow x 2)))))
(pow x 2)
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 1 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (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 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 2 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))
(* (pow y 2) (+ 2 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* 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))))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ 1 (+ (* -1 (/ x y)) (/ x y)))))
(* (pow y 2) (- (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))))
(* -1 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) y)) (* -1 (pow x 2))) (pow y 2))
(/ (- (+ (* -1 (/ (+ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow x 4)) (pow y 2))) (* -1 (pow x 2))) (/ (* (pow x 2) (+ x (* -1 x))) y)) (pow y 2))
(/ (- (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow x 4))) (* (pow x 4) (+ x (* -1 x)))) (pow y 3))) (* -1 (pow x 2))) (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (+ (/ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow y 2)) (/ (pow x 4) (pow y 2))))) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 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 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y))))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (+ 2 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y))))
(* (pow y 2) (+ 2 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y))))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* 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))))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (* -1 (/ (- (+ (/ (pow x 2) y) (/ (pow (+ x (* -1 x)) 2) y)) (+ x (* -1 x))) y)) 1))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y) (/ (* (pow x 2) (+ x (* -1 x))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)) (+ x (* -1 x))) y)) 1))
(* -1 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (pow x 2)) (/ (* (pow x 2) (+ x (* -1 x))) y)) (pow y 2))
(/ (+ (* -1 (/ (- (+ (/ (* (pow x 2) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 4) y)) (* (pow x 2) (+ x (* -1 x)))) y)) (* -1 (pow x 2))) (pow y 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow x 4))) y) (/ (* (pow x 4) (+ x (* -1 x))) y)) (+ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow x 4))) y)) (* (pow x 2) (+ x (* -1 x)))) y)) (* -1 (pow x 2))) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y))))
(+ (* 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)) (* -1 (pow y 2)))
(- (+ (* 2 (pow y 2)) (* x (+ y (* -1 y)))) (* -1 (pow y 2)))
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2)))
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))))) (* -1 (pow y 2)))
(- (pow y 2) (* -1 (pow y 2)))
(- (+ (* x (+ y (* -1 y))) (pow y 2)) (* -1 (pow y 2)))
(- (+ (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))) (pow y 2)) (* -1 (pow y 2)))
(- (+ (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (pow y 2)) (* -1 (pow y 2)))
(pow x 2)
(pow x 2)
(pow x 2)
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(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
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(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* 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))
(* -1 (pow y 2))
(+ (* -1 (* x (+ y (* -1 y)))) (* -1 (pow y 2)))
(+ (* -1 (pow y 2)) (* x (- (* -1 (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (- (* x (- (* -1 (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2))) (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))))
(* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 8))) (/ 1 (pow y 6)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))
(pow y 2)
(- (* x (+ y (* -1 y))) (* -1 (pow y 2)))
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))) (* -1 (pow y 2)))
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (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) (+ 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 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(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 y 4) (pow x 2))
(/ (+ (* -1 (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow y 4)) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))) (pow x 2))) (pow y 4)) (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))))) (* (pow y 6) (+ y (* -1 y)))) (pow x 3))) (pow y 4)) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x)))) (pow x 2))
1
(+ 1 (* -1 (/ (+ y (* -1 y)) x)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(pow x 2)
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(pow x 2)
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(pow x 2)
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(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(pow x 2)
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(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (pow (+ y (* -1 y)) 2))) x)))) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
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(pow x 2)
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(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(/ (pow y 4) (pow x 2))
(/ (+ (* -1 (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow y 4)) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6)) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) (* (pow y 6) (+ y (* -1 y)))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
1
(+ 1 (* -1 (/ (+ y (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))

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))
(* 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)
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(* 3 (pow y 2))
(.f64 (.f64 y y) #s(literal 3 binary64))
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(.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 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 y 2)
(*.f64 y y)
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(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(*.f64 x x)
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(pow x 2)
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(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(*.f64 x x)
(+ (* y (- (* y (- 2 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(+ (* y (- (* y (- (+ 2 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
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(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.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)
(+ (* 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 y 4) (pow x 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) x)
(* (pow y 4) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4))))
(.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* (pow y 2) (+ (/ 1 (pow x 4)) (/ (pow y 2) (pow x 6)))) (/ 1 (pow x 2))))
(.f64 (fma.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 6)) (/ (pow y 2) (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(.f64 (fma.f64 (fma.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 y #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ (pow y 2) (pow x 2)))
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4)))))
(fma.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 4)) (/ (pow y 2) (pow x 6)))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(*.f64 x x)
(+ (* y (- (* y (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 y y (*.f64 x x))
(+ (* y (- (* y (- (+ 1 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 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))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y)
(* 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))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
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(.f64 (.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y)
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y)
(* 2 (pow y 2))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(* (pow y 2) (+ 2 (+ (* -1 (/ x y)) (/ x y))))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(* (pow y 2) (+ 2 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 2 binary64)) y) y)
(* (pow y 2) (+ 2 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 2 binary64)) y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
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(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(*.f64 x x)
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.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 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) (*.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)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))
(/ (pow y 4) (pow x 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) x)
(/ (+ (* -1 (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow y 4)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) x) x)
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))) (pow x 2))) (pow y 4)) (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow x 2))
(/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 x x))) (.f64 x x))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))))) (* (pow y 6) (+ y (* -1 y)))) (pow x 3))) (pow y 4)) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 x x))) (/.f64 (.f64 #s(literal 0 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ y (* -1 y)) x)))
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x)))
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x)))))
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(*.f64 x x)
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 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)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 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)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 y y) #s(literal 3 binary64)) (neg.f64 x)) x)) (.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 y y) #s(literal 3 binary64)) (neg.f64 x)) x)) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (pow (+ y (* -1 y)) 2)) x)))) x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) (neg.f64 x)) x)) (.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (pow (+ y (* -1 y)) 2))) x)))) x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) y) (neg.f64 x)) x)) (.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 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 y x))) (*.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)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))
(/ (pow y 4) (pow x 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) x)
(/ (+ (* -1 (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow y 4)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) x) x)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6)) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (neg.f64 x))) x)) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) (* (pow y 6) (+ y (* -1 y)))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 0 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) x) (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) x)) x)) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ y (* -1 y)) x)))
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x)))
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x)))
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) x)))) x))))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x))

rewrite297.0ms (4.5%)

Memory

0.6MiB live, 122.8MiB allocated

Rules

9 548×	`lower-fma.f32`
9 542×	`lower-fma.f64`
4 380×	`lower-/.f32`
4 376×	`lower-/.f64`
3 822×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	225
0	49	209
1	234	129
2	2213	129
0	8659	122

Stop Event

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

Counts

16 → 985

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)
(+.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.f64 y y)) (.f64 y y))
(+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (*.f64 y y))
(*.f64 x x)
(*.f64 (-.f64 x y) (+.f64 y x))
(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 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x)))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (.f64 y y) #s(literal 3 binary64)) y) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) y)))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) y)
(.f64 #s(literal 3 binary64) (.f64 y y))
(.f64 y (.f64 #s(literal 3 binary64) y))
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))) (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (neg.f64 (-.f64 (.f64 y y) (.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))) (-.f64 (.f64 y y) (.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y)))))
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(fma.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 x y))) (/.f64 x (+.f64 y x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (.f64 x x) (/.f64 (-.f64 x y) (.f64 x x))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 x x) (/.f64 (+.f64 y x) (.f64 x x))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (neg.f64 (.f64 y y)) (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (neg.f64 (.f64 y y)) (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (.f64 x (/.f64 x (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 x (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 x x))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) x (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 x y)) (/.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 x y) x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x (/.f64 (-.f64 x y) (*.f64 x x))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 (*.f64 x x) (/.f64 (+.f64 y x) x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (/.f64 (+.f64 y x) (*.f64 x x))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (/.f64 x (-.f64 x y)) (.f64 (/.f64 x (+.f64 y x)) (.f64 x x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 x (-.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (.f64 (/.f64 x (+.f64 y x)) (/.f64 x (-.f64 x y))) (.f64 x x) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 y x)) (/.f64 x (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 (.f64 y y) (.f64 (/.f64 y (neg.f64 (+.f64 y x))) (/.f64 y (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (.f64 x x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 y x) (-.f64 x y)))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 x y)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))))))) (/.f64 (pow.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64))) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 y x)) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) (/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 x y))) (.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64)))) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64))))) (/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) (pow.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)))) (/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)))))
(-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (.f64 (+.f64 y x) (-.f64 x y)))) (/.f64 (pow.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 y x) (-.f64 x y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 x y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)))
(+.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))

eval378.0ms (5.8%)

Memory: 27.0MiB live, 245.5MiB allocated
Compiler: Compiled 44 787 to 4 171 computations (90.7% saved)

prune115.0ms (1.7%)

Memory

9.9MiB live, 92.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 475	1	1 476
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	1 476	7	1 483

Accuracy

100.0%

Counts

1 483 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.5%	(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))
▶	24.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y)))
✓	54.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
✓	54.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
✓	54.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	58.0%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 56 to 45 computations (19.6% saved)

simplify348.0ms (5.3%)

Memory

-29.7MiB live, 147.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y)))
cost-diff	64	(fma.f64 y y #s(literal 0 binary64))
cost-diff	384	(fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y))
cost-diff	7488	(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))

Rules

10 070×	`lower-fma.f32`
10 066×	`lower-fma.f64`
7 552×	`lower-*.f32`
7 548×	`lower-*.f64`
2 226×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	75
0	24	69
1	45	67
2	120	41
3	315	41
4	816	41
5	1889	41
6	2564	41
7	3184	41
8	4156	41
9	5165	41
10	5746	41
11	6016	41
12	6203	41
13	6379	41
14	7350	41
0	8062	40

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y)))
(fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y))
y
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 y y #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 y y)

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y))
(.f64 (.f64 #s(literal 3 binary64) y) y)
y
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 y y #s(literal 0 binary64))
(*.f64 y y)
#s(literal 0 binary64)
(*.f64 y y)

localize58.0ms (0.9%)

Memory

14.0MiB live, 52.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
accuracy	0.0703125	(fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y))
accuracy	29.12308448654504	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y)))
accuracy	37.75349505592056	(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))

Samples

23.0ms

256×

valid

Compiler

Compiled 65 to 18 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (38.7% of total)

ival-add: 5.0ms (32.3% of total)

ival-pow: 3.0ms (19.4% of total)

ival-div: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-22.2MiB live, 13.8MiB allocated

Counts

5 → 72

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	((/ (* 2 (pow y 3)) (+ (* y y) 0)) (+ (* y (/ (* 2 (pow y 3)) (+ (* y y) 0))) (* y y)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 (pow y 3)))
1.0ms	y	@	inf	((/ (* 2 (pow y 3)) (+ (* y y) 0)) (+ (* y (/ (* 2 (pow y 3)) (+ (* y y) 0))) (* y y)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 (pow y 3)))
1.0ms	y	@	-inf	((/ (* 2 (pow y 3)) (+ (* y y) 0)) (+ (* y (/ (* 2 (pow y 3)) (+ (* y y) 0))) (* y y)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 (pow y 3)))
0.0ms	x	@	inf	((/ (* 2 (pow y 3)) (+ (* y y) 0)) (+ (* y (/ (* 2 (pow y 3)) (+ (* y y) 0))) (* y y)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 (pow y 3)))
0.0ms	x	@	-inf	((/ (* 2 (pow y 3)) (+ (* y y) 0)) (+ (* y (/ (* 2 (pow y 3)) (+ (* y y) 0))) (* y y)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 (pow y 3)))

simplify140.0ms (2.1%)

Memory

16.8MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 336×	`lower-fma.f64`
7 336×	`lower-fma.f32`
3 938×	`lower-*.f64`
3 938×	`lower-*.f32`
1 180×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	378
1	62	378
2	157	378
3	558	378
4	1841	378
5	2630	378
6	3836	378
7	7349	378
0	8089	360

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite224.0ms (3.4%)

Memory

-3.5MiB live, 119.5MiB allocated

Rules

4 626×	`lower-fma.f32`
4 624×	`lower-fma.f64`
2 406×	`lower-/.f64`
2 406×	`lower-/.f32`
1 776×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
0	24	73
1	117	51
2	1363	19
0	9833	18

Stop Event

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

Counts

5 → 177

Calls

Call 1

Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y))
(fma.f64 y y #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y)))
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))

Outputs
#s(literal 0 binary64)
(*.f64 (neg.f64 (neg.f64 y)) y)
(.f64 (.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (pow.f64 y #s(literal 8 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) y)
(.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))
(.f64 (/.f64 (.f64 y y) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 y y) (pow.f64 y #s(literal -4 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -4 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 y #s(literal -3 binary64)) (/.f64 y (pow.f64 y #s(literal -4 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal -6 binary64)))
(*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal -6 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))
(.f64 (.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y y)
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 8 binary64))) (neg.f64 (pow.f64 y #s(literal 6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (pow.f64 y #s(literal 6 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 6 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal 3 binary64)) y)
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 y)) y #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (pow.f64 y #s(literal 8 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) y #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 y y) (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 y (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 y (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -3 binary64)) (/.f64 y (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal -6 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal -6 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y (neg.f64 (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 y #s(literal 0 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 0 binary64))
(-.f64 (*.f64 y y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(*.f64 (neg.f64 (neg.f64 y)) y)
(.f64 (.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (pow.f64 y #s(literal 8 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) y)
(.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))
(.f64 (/.f64 (.f64 y y) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 y y) (pow.f64 y #s(literal -4 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -4 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 y #s(literal -3 binary64)) (/.f64 y (pow.f64 y #s(literal -4 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal -6 binary64)))
(*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal -6 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))
(.f64 (.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y y)
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 8 binary64))) (neg.f64 (pow.f64 y #s(literal 6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (pow.f64 y #s(literal 6 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 6 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal 3 binary64)) y)
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 y)) y #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (pow.f64 y #s(literal 8 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) y #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) (pow.f64 y #s(literal 6 binary64))) (/.f64 (.f64 y y) (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 y (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 y (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -3 binary64)) (/.f64 y (pow.f64 y #s(literal -4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal -6 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal -6 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y (neg.f64 (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 y #s(literal 0 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 0 binary64))
(-.f64 (*.f64 y y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(literal 0 binary64)

eval45.0ms (0.7%)

Memory: 8.9MiB live, 47.2MiB allocated
Compiler: Compiled 3 378 to 516 computations (84.7% saved)

prune40.0ms (0.6%)

Memory

-8.4MiB live, 29.4MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	247	2	249
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	248	8	256

Accuracy

100.0%

Counts

256 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.5%	(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))
	24.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 y y)) (*.f64 y y)))
✓	54.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
✓	54.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
✓	54.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
	31.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
✓	58.0%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 212 to 96 computations (54.7% saved)

regimes56.0ms (0.9%)

Memory

-8.8MiB live, 36.6MiB allocated

Counts

14 → 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 y y))
#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))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 y y)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (.f64 y y)))
(+.f64 (+.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (+.f64 y x))))) (.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:

37.0ms	y
5.0ms	x
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
4.0ms	(*.f64 y y)
4.0ms	(*.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)

regimes49.0ms (0.7%)

Memory

-9.9MiB live, 29.5MiB allocated

Counts

9 → 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 y y))
#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:

36.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	(*.f64 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)

regimes14.0ms (0.2%)

Memory

32.5MiB live, 32.5MiB allocated

Counts

7 → 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 y y))
#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	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	y
3.0ms	(*.f64 x x)
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
91.9%	2	`x`
82.5%	2	`y`
81.6%	4	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
91.9%	2	`(*.f64 x x)`
82.5%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes24.0ms (0.4%)

Memory

-26.2MiB live, 11.5MiB 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 y y))
#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 #s(literal 3 binary64) y) y))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))

Calls

2 calls:

21.0ms	(*.f64 x x)
3.0ms	x

Results

Accuracy	Segments	Branch
91.9%	2	`x`
91.9%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

4 → 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 y y))
#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

2 calls:

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

Results

Accuracy	Segments	Branch
84.5%	2	`x`
84.5%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB 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 y y))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
84.5%	2	`x`
84.5%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes27.0ms (0.4%)

Memory

-19.6MiB live, 18.5MiB 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 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 y y))

Calls

5 calls:

21.0ms	y
1.0ms	x
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	(*.f64 x x)
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
58.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
72.9%	2	`y`
72.9%	2	`(*.f64 y y)`
66.7%	2	`x`
66.7%	2	`(*.f64 x x)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes7.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB 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 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	(*.f64 y y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
58.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
58.0%	1	`x`
58.0%	1	`(*.f64 x x)`
58.0%	1	`y`
58.0%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch49.0ms (0.7%)

Memory

-34.1MiB live, 22.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	4.16385796871937e-112	3.621240368618586e-107

Samples

5.0ms

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 (73.4% of total)

ival-mult: 1.0ms (36.7% of total)

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.16385796871937e-112	3.621240368618586e-107

Compiler

Compiled 117 to 120 computations (-2.6% saved)

bsearch11.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.8638245018058754e-21	8.076281839944936e-19

Samples

5.0ms

128×

valid

Compiler

Compiled 82 to 100 computations (-22% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (41.9% of total)

ival-mult: 1.0ms (41.9% of total)

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

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.8638245018058754e-21	8.076281839944936e-19

Compiler

Compiled 82 to 100 computations (-22% saved)

bsearch9.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.320829898387138e+301	2.2051898653283798e+303

Samples

4.0ms

112×

valid

Compiler

Compiled 56 to 75 computations (-33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (45.6% of total)

ival-mult: 1.0ms (45.6% of total)

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

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

simplify47.0ms (0.7%)

Memory

-19.5MiB live, 59.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	267
1	42	267

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 1252304427276247/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 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 1252304427276247/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 1298074214633707/10384593717069655257060992658440192 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 x x) #s(literal 1298074214633707/10384593717069655257060992658440192 binary64)) #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)))
(if (<=.f64 (.f64 y y) #s(literal 1950000000000000015542495042546088617566863841206717640420319748339378384221294397732489803239257919847394098898592688000792450961683213475959566420511585281569849105426976671563271873768180137362883124485205226670939148436662966881789048366753080716054976521837478795630891396948778445479749460275757056 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 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 1252304427276247/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 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 1252304427276247/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 1298074214633707/10384593717069655257060992658440192 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 x x) #s(literal 1298074214633707/10384593717069655257060992658440192 binary64)) #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)))
(if (<=.f64 (.f64 y y) #s(literal 1950000000000000015542495042546088617566863841206717640420319748339378384221294397732489803239257919847394098898592688000792450961683213475959566420511585281569849105426976671563271873768180137362883124485205226670939148436662966881789048366753080716054976521837478795630891396948778445479749460275757056 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 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

soundness1.4s (21.8%)

Memory

-1.9MiB live, 834.6MiB allocated

Rules

10 540×	`lower-fma.f64`
10 540×	`lower-fma.f32`
9 548×	`lower-fma.f32`
9 542×	`lower-fma.f64`
9 354×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	552
1	86	552
2	217	552
3	853	552
4	2013	552
5	2661	552
6	4205	552
7	5672	552
8	6662	552
9	7939	552
0	8060	498
0	17	65
0	24	73
1	117	51
2	1363	19
0	9833	18
0	20	113
0	31	112
1	130	92
2	1155	88
0	8283	85
0	7	36
0	12	36
1	54	32
2	517	26
3	7592	26
0	8199	23
0	29	225
0	49	209
1	234	129
2	2213	129
0	8659	122

Stop Event

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

Compiler

Compiled 301 to 157 computations (47.8% saved)

preprocess74.0ms (1.1%)

Memory

19.9MiB live, 218.7MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 360 to 150 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample864.0ms (13.2%)

explain98.0ms (1.5%)

preprocess59.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize21.0ms (0.3%)

series6.0ms (0.1%)

simplify175.0ms (2.7%)

rewrite228.0ms (3.5%)

eval44.0ms (0.7%)

prune11.0ms (0.2%)

simplify6.0ms (0.1%)

localize40.0ms (0.6%)

series15.0ms (0.2%)

simplify153.0ms (2.3%)

rewrite490.0ms (7.5%)

eval122.0ms (1.9%)

prune97.0ms (1.5%)

simplify266.0ms (4%)

localize187.0ms (2.8%)

series82.0ms (1.3%)

simplify131.0ms (2%)

rewrite297.0ms (4.5%)

eval378.0ms (5.8%)

prune115.0ms (1.7%)

simplify348.0ms (5.3%)

localize58.0ms (0.9%)

series16.0ms (0.2%)

simplify140.0ms (2.1%)

rewrite224.0ms (3.4%)

eval45.0ms (0.7%)

prune40.0ms (0.6%)

regimes56.0ms (0.9%)

regimes49.0ms (0.7%)

regimes14.0ms (0.2%)

regimes24.0ms (0.4%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes27.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch49.0ms (0.7%)

bsearch1.0ms (0%)

bsearch11.0ms (0.2%)

bsearch1.0ms (0%)

bsearch9.0ms (0.1%)

simplify47.0ms (0.7%)

soundness1.4s (21.8%)

preprocess74.0ms (1.1%)

end0.0ms (0%)

Profiling