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

0.7MiB live, 0.7MiB 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)

sample767.0ms (10.3%)

Memory

7.0MiB live, 923.0MiB allocated

Samples

524.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-mult: 168.0ms (60% of total)

ival-add: 104.0ms (37.2% of total)

ival-true: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain192.0ms (2.6%)

Memory

-1.7MiB live, 111.9MiB 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

53.0ms

512×

valid

Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 34.0ms (83.9% of total)

ival-add: 6.0ms (14.8% of total)

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

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

preprocess92.0ms (1.2%)

Memory

-6.4MiB live, 37.6MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify5.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB 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

localize38.0ms (0.5%)

Memory

-9.3MiB live, 28.8MiB 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	0.0703125	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

12.0ms

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 (49.4% of total)

ival-mult: 3.0ms (49.4% of total)

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

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

series7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB 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	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))
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	@	-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))

simplify232.0ms (3.1%)

Memory

23.1MiB live, 170.3MiB 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)

rewrite240.0ms (3.2%)

Memory

-5.0MiB live, 193.6MiB 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)))

eval107.0ms (1.4%)

Memory: 6.9MiB live, 96.1MiB allocated
Compiler: Compiled 10 601 to 1 046 computations (90.1% saved)

prune153.0ms (2.1%)

Memory

-24.0MiB live, 92.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	407	8	415
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	408	8	416

Accuracy

100.0%

Counts

416 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(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 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
	99.9%	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
▶	38.1%	(+.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))
▶	80.4%	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
	60.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
▶	57.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 178 to 112 computations (37.1% saved)

simplify342.0ms (4.6%)

Memory

-3.3MiB live, 236.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

12 996×	`lower-fma.f32`
12 988×	`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	30	262
0	51	262
1	108	246
2	243	240
3	576	233
4	1184	233
5	2692	233
6	4145	233
7	4881	233
8	5466	233
9	5593	233
10	5679	233
11	7342	233
12	7833	233
0	8433	228

Stop Event

1×	iter limit
1×	node limit
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
(+.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 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
x
(.f64 #s(literal 3 binary64) (.f64 y y))
#s(literal 3 binary64)
(*.f64 y 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)

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
(+.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 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
x
(.f64 #s(literal 3 binary64) (.f64 y y))
#s(literal 3 binary64)
(*.f64 y 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 (.f64 y y) #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.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 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.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 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 x x)
x
(/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 x y)))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 x y)
y
(+.f64 y x)
(+.f64 x y)
(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 x y)) (-.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 x y) (-.f64 x y)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 y y)

localize115.0ms (1.5%)

Memory

11.2MiB live, 128.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(+.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	2.7929687500000004	(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	23.877688212128316	(/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x)))
accuracy	34.2045277491661	(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))
accuracy	0	(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
accuracy	0	(*.f64 y y)
accuracy	0.15625	(.f64 #s(literal 3 binary64) (.f64 y y))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.0703125	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
accuracy	27.402449980262546	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	27.40943973453188	#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	0.03125	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))

Samples

92.0ms

256×

valid

Compiler

Compiled 259 to 29 computations (88.8% saved)

Precisions

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

ival-mult: 10.0ms (36.2% of total)

ival-add: 9.0ms (32.6% of total)

ival-div: 3.0ms (10.9% of total)

ival-pow: 3.0ms (10.9% 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)

series31.0ms (0.4%)

Memory

29.0MiB live, 66.9MiB allocated

Counts

16 → 336

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 (+.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 (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.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 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y 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 (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.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 (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#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 (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#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 (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#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 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 3 binary64) (.f64 y y)) (patch (.f64 #s(literal 3 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#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 (+ (* -1 (* y (+ x (* -1 x)))) (pow x 2)) (taylor 0 y) (#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 (+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) (taylor 0 y) (#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 (+ (* 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)) (taylor 0 y) (#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 (pow x 2) (taylor 0 y) (#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 (+ (* -1 (* y (+ x (* -1 x)))) (pow x 2)) (taylor 0 y) (#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 (+ (* y (- (* y (- 2 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) (taylor 0 y) (#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 (+ (* 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)) (taylor 0 y) (#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 (pow x 2) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow x 2)) (taylor 0 y) (#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 (* (pow y 4) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4)))) (taylor 0 y) (#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 (* (pow y 4) (+ (* (pow y 2) (+ (/ 1 (pow x 4)) (/ (pow y 2) (pow x 6)))) (/ 1 (pow x 2)))) (taylor 0 y) (#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 (* (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)))) (taylor 0 y) (#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 0 y) (#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>) () ())) ())
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#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 (+.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 x x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) (patch (fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x)))) (taylor -inf x) (#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 (* (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)))) (taylor -inf x) (#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 (pow x 2) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (pow (+ y (* -1 y)) 2)) x)))) x)))) (taylor -inf x) (#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 (* (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)))) (taylor -inf x) (#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 (pow x 2) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 y x)) (patch (.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (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 (/ (* (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 (/ (+ (* -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)) (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 (/ (+ (* -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
5.0ms	x	@	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)) (+ (+ (* x x) (* y y)) (* y y)) (* y y) (+ (* x x) (* 3 (* y y))) (* 3 (* 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 y) (+ y x)) (/ (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	((+ (* (* 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)) (+ (+ (* x x) (* y y)) (* y y)) (* y y) (+ (* x x) (* 3 (* y y))) (* 3 (* 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 y) (+ y x)) (/ (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	@	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)) (+ (+ (* x x) (* y y)) (* y y)) (* y y) (+ (* x x) (* 3 (* y y))) (* 3 (* 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 y) (+ y x)) (/ (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	((+ (* (* 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)) (+ (+ (* x x) (* y y)) (* y y)) (* y y) (+ (* x x) (* 3 (* y y))) (* 3 (* 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 y) (+ y x)) (/ (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	((+ (* (* 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)) (+ (+ (* x x) (* y y)) (* y y)) (* y y) (+ (* x x) (* 3 (* y y))) (* 3 (* 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 y) (+ y x)) (/ (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))))))

simplify209.0ms (2.8%)

Memory

-42.9MiB live, 124.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 160×	`lower-fma.f64`
4 160×	`lower-fma.f32`
1 828×	`lower-+.f64`
1 828×	`lower-+.f32`
1 632×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	3538
1	1720	3060
2	7392	3045
0	8049	2877

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

rewrite380.0ms (5.1%)

Memory

14.3MiB live, 324.8MiB allocated

Rules

7 212×	`lower-fma.f32`
7 204×	`lower-fma.f64`
4 506×	`lower-/.f32`
4 502×	`lower-/.f64`
4 030×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	214
0	51	169
1	256	130
2	2472	130
0	8729	126

Stop Event

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

Counts

16 → 1 361

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))
(+.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 y y)
(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 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))
(+.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 (-.f64 x y) (+.f64 y 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
(.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (fma.f64 y y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x (.f64 #s(literal -3 binary64) (.f64 y y))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x)) (.f64 y y)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 (fma.f64 y y (.f64 x x)) (.f64 (*.f64 y y) #s(literal 2 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))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x))) (pow.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 y y) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -3 binary64) (.f64 y y))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) y (.f64 x x)) (.f64 y y)) (-.f64 (pow.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
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(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 x y)) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 x y) x)) (/.f64 x (-.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 x y) x)) (/.f64 x (+.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) x) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 x y)) (/.f64 (.f64 x x) (neg.f64 (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 x y))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (-.f64 x y)) (/.f64 (.f64 x x) (neg.f64 (+.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 x (+.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 x (/.f64 (+.f64 x y) x)) (/.f64 x (/.f64 (-.f64 x y) x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 x (/.f64 (-.f64 x y) x)) (/.f64 x (/.f64 (+.f64 x y) x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 x y))) (/.f64 (.f64 (neg.f64 x) x) (+.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 x (/.f64 x (-.f64 x y))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 x x) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 x y))) (/.f64 x (+.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (pow.f64 (+.f64 x y) #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 x y)) (-.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 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (pow.f64 (-.f64 x y) #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 x y)) (-.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 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (neg.f64 (.f64 y y)) (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (neg.f64 (+.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (neg.f64 (.f64 y y)) (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (.f64 x (/.f64 x (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (/.f64 x (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 x x))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) x (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (/.f64 (pow.f64 (+.f64 x y) #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 x y)) (-.f64 x y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (*.f64 x x) (/.f64 (-.f64 x y) x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 x (/.f64 (-.f64 x y) (*.f64 x x))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 (*.f64 x x) (/.f64 (+.f64 x y) x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (/.f64 (+.f64 x y) (*.f64 x x))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 x (-.f64 x y)) (.f64 (/.f64 x (+.f64 x y)) (.f64 x x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.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 x y)) (-.f64 x y)))
(fma.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 x y))) (.f64 x x) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 (.f64 y y) (.f64 (/.f64 y (neg.f64 (+.f64 x y))) (/.f64 y (-.f64 x y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 x (.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (.f64 x x)) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (+.f64 x y) (-.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 x y) (-.f64 x y)))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.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 x y) (-.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (+.f64 x y) (-.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 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))))) (/.f64 (pow.f64 (.f64 (.f64 (+.f64 x y) (-.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 x y) (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (+.f64 x y) (-.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 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 x y)) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))) (/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 x y))) (.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))) (/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64)))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64))))) (/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal -4 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64))))
(-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 y #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 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.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 x y) (-.f64 x y)))) (/.f64 (pow.f64 (.f64 (.f64 (+.f64 x y) (-.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 x y) (-.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 x y) (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 x y) (-.f64 x y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)))
(+.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))

eval593.0ms (7.9%)

Memory: 16.0MiB live, 460.5MiB allocated
Compiler: Compiled 62 383 to 3 904 computations (93.7% saved)

prune337.0ms (4.5%)

Memory

11.4MiB live, 442.6MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 927	5	1 932
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	1 933	7	1 940

Accuracy

100.0%

Counts

1 940 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
▶	80.4%	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
▶	99.9%	(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	80.4%	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
▶	75.0%	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x)))
▶	60.9%	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
✓	57.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 102 to 80 computations (21.6% saved)

simplify144.0ms (1.9%)

Memory

-13.0MiB live, 209.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 3 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x)))
cost-diff	1728	(.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.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	0	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) y) y)
cost-diff	0	(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))

Rules

6 592×	`lower-fma.f32`
6 584×	`lower-fma.f64`
3 110×	`lower-*.f32`
3 094×	`lower-*.f64`
1 846×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	237
0	58	229
1	124	221
2	280	217
3	679	213
4	1658	213
5	4120	207
6	7759	207
0	8589	201

Stop Event

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

Calls

Call 1

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

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

localize206.0ms (2.8%)

Memory

-24.2MiB live, 168.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x)))
accuracy	0.125	(*.f64 y (/.f64 y x))
accuracy	2.889588348868285	(fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
accuracy	14.784916966940647	(.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.03125	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
accuracy	24.937155582501802	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	0.03515625	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
accuracy	27.402449980262546	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	0.15625	(.f64 (.f64 y y) #s(literal 3 binary64))
accuracy	24.931094788640312	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
accuracy	0	(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.140625	(.f64 (.f64 #s(literal 3 binary64) y) y)

Samples

107.0ms

256×

valid

Compiler

Compiled 207 to 38 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-div: 55.0ms (60% of total)

ival-mult: 16.0ms (17.4% of total)

ival-add: 15.0ms (16.4% of total)

ival-pow: 3.0ms (3.3% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series24.0ms (0.3%)

Memory

13.4MiB live, 51.9MiB allocated

Counts

17 → 324

Calls

Call 1

Inputs
#s(alt (fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch (fma.f64 x x (.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 #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* 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 (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 y y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y y) (* x x)) (.f64 y y)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) x) (patch (/.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch (fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch (fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch (fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y)) (patch (fma.f64 x x (.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 (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ x (* -1 x)))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 3 binary64)) (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 3 binary64)) (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 3 binary64)) (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 3 binary64)) (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (patch #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 y y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #<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 #s(approx (+ ( y y) (* x x)) (.f64 y y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x 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)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 y (/.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) x) (patch (/.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) x) (patch (/.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) x) (patch (/.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) x) (patch (/.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 y (/.f64 y x)) (patch (.f64 y (/.f64 y x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* (+ (* (/ 3 x) (* y (/ y x))) 1) (* x x)) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (+ (* (/ 3 x) (* y (/ y x))) 1) (/ 3 x) (* y (/ y x)))
2.0ms	y	@	-inf	((+ (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* (+ (* (/ 3 x) (* y (/ y x))) 1) (* x x)) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (+ (* (/ 3 x) (* y (/ y x))) 1) (/ 3 x) (* y (/ y x)))
2.0ms	y	@	0	((+ (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* (+ (* (/ 3 x) (* y (/ y x))) 1) (* x x)) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (+ (* (/ 3 x) (* y (/ y x))) 1) (/ 3 x) (* y (/ y x)))
2.0ms	x	@	-inf	((+ (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* (+ (* (/ 3 x) (* y (/ y x))) 1) (* x x)) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (+ (* (/ 3 x) (* y (/ y x))) 1) (/ 3 x) (* y (/ y x)))
2.0ms	x	@	inf	((+ (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* (+ (* (/ 3 x) (* y (/ y x))) 1) (* x x)) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (+ (* (/ 3 x) (* y (/ y x))) 1) (/ 3 x) (* y (/ y x)))

simplify102.0ms (1.4%)

Memory

21.7MiB live, 179.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 470×	`lower-fma.f64`
9 470×	`lower-fma.f32`
2 594×	`lower-+.f64`
2 594×	`lower-+.f32`
2 558×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	2492
1	645	2492
2	2816	2480
0	8795	2330

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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

rewrite343.0ms (4.6%)

Memory

-14.7MiB live, 301.5MiB allocated

Rules

7 746×	`lower-fma.f32`
7 738×	`lower-fma.f64`
5 014×	`lower-/.f32`
5 010×	`lower-/.f64`
4 574×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	215
0	58	213
1	279	165
2	2516	165
0	9468	157

Stop Event

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

Counts

17 → 222

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x (.f64 #s(literal -3 binary64) (.f64 y y))) #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))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -3 binary64) (.f64 y y))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.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 (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (.f64 x x))))
(/.f64 (neg.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 (neg.f64 (fma.f64 x x (.f64 #s(literal -3 binary64) (*.f64 y y))))))
(/.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 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (.f64 x x)))
(/.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 (fma.f64 x x (.f64 #s(literal -3 binary64) (*.f64 y y)))))
(/.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 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))))
(/.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 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 #s(literal -3 binary64) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -3 binary64) (.f64 y y))) (-.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) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 #s(literal -3 binary64) (.f64 y y))) (-.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 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 y #s(literal 3 binary64)) y))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(fma.f64 y (.f64 y #s(literal 3 binary64)) (.f64 x x))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 (.f64 y #s(literal 3 binary64)) y))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 #s(literal -3 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x (.f64 #s(literal -3 binary64) (*.f64 y y)))))
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 3 binary64)) y))
(+.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (*.f64 x x))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 3 binary64)) y)
(.f64 y (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 3 binary64)) y)
(.f64 y (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 y y) #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 #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)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 y y) #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #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)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 y y) #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #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)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 y y) #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 #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)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 2 binary64))) (-.f64 (.f64 y y) #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 y y) #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #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)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #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)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y y) #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #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)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x)))) (/.f64 (pow.f64 #s(approx (+ (+ ( x x) (* y y)) (* y y)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.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))
(+.f64 (.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 (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)))
(.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 (*.f64 #s(literal 2 binary64) y) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 (*.f64 #s(literal 2 binary64) y) y)))
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(fma.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 y x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (*.f64 y y) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 y x) y) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) y) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 y x) y) (.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (/.f64 y x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 (.f64 (/.f64 y x) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64))
(fma.f64 y (*.f64 (/.f64 y x) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (/.f64 y x) y)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64))))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64))) (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (/.f64 y x) y) (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal -3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -3 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 3 binary64) x)
(neg.f64 (/.f64 #s(literal -3 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y x) y)
(.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 y (/.f64 y x))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (*.f64 y (neg.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 x y))
(/.f64 (*.f64 y (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y y))))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))

eval64.0ms (0.9%)

Memory: 17.2MiB live, 137.7MiB allocated
Compiler: Compiled 8 847 to 867 computations (90.2% saved)

prune44.0ms (0.6%)

Memory

-13.8MiB live, 109.5MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	579	3	582
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	581	8	589

Accuracy

100.0%

Counts

589 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓	80.4%	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
✓	99.9%	(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	80.4%	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
✓	60.9%	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
▶	60.9%	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y))
▶	39.0%	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x)))
✓	57.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 63 to 50 computations (20.6% saved)

simplify199.0ms (2.7%)

Memory

-1.5MiB live, 233.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	-128	(+.f64 y y)
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
cost-diff	0	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 3 binary64)) y)
cost-diff	0	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))
cost-diff	0	#s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)))
cost-diff	0	(.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x))
cost-diff	0	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x)))

Rules

11 972×	`lower-fma.f32`
11 970×	`lower-fma.f64`
2 680×	`lower-*.f32`
2 668×	`lower-+.f32`
2 666×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	220
0	52	214
1	117	214
2	268	210
3	612	206
4	1233	206
5	2923	206
6	4863	206
7	6209	206
8	6992	206
9	7277	206
10	7360	206
0	8122	199

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (1%)

Memory

17.0MiB live, 173.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 y y)
accuracy	0.03125	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	24.937155582501802	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.140625	(.f64 (.f64 y #s(literal 3 binary64)) y)
accuracy	24.931094788640312	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y))
accuracy	0.15625	(.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))
accuracy	0.1875	(*.f64 (/.f64 #s(literal 3 binary64) x) y)
accuracy	14.784916966940647	(.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x))
accuracy	30.372019795078543	#s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)))

Samples

52.0ms

256×

valid

Compiler

Compiled 163 to 34 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 20.0ms (49.9% of total)

ival-add: 8.0ms (19.9% of total)

ival-div: 6.0ms (15% of total)

ival-pow: 3.0ms (7.5% of total)

ival-sub: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

-19.9MiB live, 60.7MiB allocated

Counts

12 → 240

Calls

Call 1

Inputs
#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x)) (patch (.f64 #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (patch #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) (patch (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 3 binary64)) y) (patch (.f64 (.f64 y #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (patch (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y y) (* x x)) (.f64 y y)) (patch #s(approx (+ ( y y) (* x x)) (*.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 #s(literal 3 binary64) x) y) (patch (.f64 (/.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ x (* -1 x)))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (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)))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (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)))))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (patch (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* 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 (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (patch (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* 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 (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (patch (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* 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 (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (patch (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 y y)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 y y)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 y y)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 y y)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) x) y) (patch (.f64 (/.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) x) y) (patch (.f64 (/.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) x) y) (patch (.f64 (/.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) x) y) (patch (.f64 (/.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x 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)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x))) (patch #s(approx (+ (+ (+ ( (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x)) (patch (.f64 #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x)) (patch (.f64 #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x)) (patch (.f64 #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (.f64 x x)) (patch (.f64 #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (patch #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (patch #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (patch #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) (patch #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow y 2) (pow x 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) (patch (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow y 2) (pow x 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) (patch (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow y 2) (pow x 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) (patch (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow y 2) (pow x 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) (patch (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) #<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)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) (patch #s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (patch (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* 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 (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (patch (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* 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 (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (patch (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* 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 (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (patch (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 y y)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 y y)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 y y)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 y y)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) x) y) (patch (.f64 (/.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) x) y) (patch (.f64 (/.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) x) y) (patch (.f64 (/.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 3 binary64) x) y) (patch (.f64 (/.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (+ (* (/ 3 x) (* y (/ y x))) 1) (* x x)) (+ (* (/ 3 x) (* y (/ y x))) 1) (* (* (/ 3 x) y) (/ y x)) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (* y 3) y) (* y 3) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y) (+ y y) (* (/ 3 x) y))
3.0ms	y	@	-inf	((+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (+ (* (/ 3 x) (* y (/ y x))) 1) (* x x)) (+ (* (/ 3 x) (* y (/ y x))) 1) (* (* (/ 3 x) y) (/ y x)) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (* y 3) y) (* y 3) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y) (+ y y) (* (/ 3 x) y))
2.0ms	y	@	inf	((+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (+ (* (/ 3 x) (* y (/ y x))) 1) (* x x)) (+ (* (/ 3 x) (* y (/ y x))) 1) (* (* (/ 3 x) y) (/ y x)) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (* y 3) y) (* y 3) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y) (+ y y) (* (/ 3 x) y))
1.0ms	x	@	inf	((+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (+ (* (/ 3 x) (* y (/ y x))) 1) (* x x)) (+ (* (/ 3 x) (* y (/ y x))) 1) (* (* (/ 3 x) y) (/ y x)) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (* y 3) y) (* y 3) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y) (+ y y) (* (/ 3 x) y))
1.0ms	x	@	0	((+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (+ (* (/ 3 x) (* y (/ y x))) 1) (* x x)) (+ (* (/ 3 x) (* y (/ y x))) 1) (* (* (/ 3 x) y) (/ y x)) (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (* (* y 3) y) (* y 3) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y) (+ y y) (* (/ 3 x) y))

simplify103.0ms (1.4%)

Memory

1.3MiB live, 197.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 226×	`lower-fma.f64`
10 226×	`lower-fma.f32`
2 824×	`lower-*.f64`
2 824×	`lower-*.f32`
2 426×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	3038
1	632	2478
2	2796	1826
0	8979	1730

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

rewrite798.0ms (10.7%)

Memory

1.9MiB live, 297.9MiB allocated

Rules

8 984×	`lower-fma.f32`
8 982×	`lower-fma.f64`
4 658×	`lower-/.f32`
4 654×	`lower-/.f64`
4 208×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	205
0	52	199
1	241	154
2	2006	154
0	8831	144

Stop Event

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

Counts

12 → 246

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64)))) (.f64 x x)))
(.f64 (.f64 #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (*.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64)))) x) x)
(.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64)))) (.f64 x x))
(.f64 (.f64 x x) #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (*.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64)))))
(.f64 x (.f64 #s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (*.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64)))) x))
#s(approx (+ (* (/ 3 x) (* y (/ y x))) 1) (*.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(.f64 (/.f64 (/.f64 (.f64 y y) x) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (*.f64 x x)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(.f64 (/.f64 (.f64 y y) (neg.f64 x)) (/.f64 #s(literal -3 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 x x)))
(.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) x))
(.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) y) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (.f64 y y) x) x) #s(literal 3 binary64))
(.f64 (.f64 (/.f64 y x) (/.f64 #s(literal 3 binary64) x)) y)
(.f64 (.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 y x)) y)
(.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (.f64 y y) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 y) x) (/.f64 (.f64 #s(literal 3 binary64) y) (neg.f64 x)))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y) y) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 y y) x) #s(literal 1/3 binary64)))
(*.f64 (/.f64 y x) (/.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y x) (/.f64 (/.f64 y x) #s(literal 1/3 binary64)))
(.f64 (/.f64 y x) (.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)))
(.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 3 binary64) x) y))
(.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (*.f64 (/.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))
(*.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 3 binary64) x) (.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (.f64 y y) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64))))
(.f64 (.f64 (/.f64 (/.f64 y x) x) (/.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 y y) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 y y) x) (*.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y y) x) (/.f64 #s(literal 3 binary64) x))
(.f64 #s(literal 3 binary64) (/.f64 (.f64 y y) (*.f64 x x)))
(.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 y y) x) x))
(.f64 #s(literal 3 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 y y) x)))
(.f64 y (.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) x) y)))
(.f64 y (.f64 (/.f64 y x) (/.f64 #s(literal 3 binary64) x)))
(.f64 y (.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 y x)))
(pow.f64 (/.f64 x (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 3 binary64) x) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 3 binary64) x) y))) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 y y) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x))) (neg.f64 (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 3 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y) y) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (/.f64 y x) (.f64 #s(literal 3 binary64) y))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (neg.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -3 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64))) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1 binary64))) (neg.f64 (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (neg.f64 y) (.f64 #s(literal 3 binary64) y))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y))) (neg.f64 (*.f64 (/.f64 x y) x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) (neg.f64 y))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x y))))
(/.f64 (neg.f64 (.f64 #s(literal -3 binary64) (.f64 y y))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) #s(literal -3 binary64))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64))) (neg.f64 (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y)) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) y)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (.f64 y y) x)) (neg.f64 (.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 3 binary64) x) y)) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 3 binary64) x) y)) (/.f64 x y))
(/.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 y y) x)) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 y y) (/.f64 #s(literal 3 binary64) x)) x)
(/.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y) y) #s(literal 1 binary64)) x)
(/.f64 (.f64 (/.f64 y x) (.f64 #s(literal 3 binary64) y)) x)
(/.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (neg.f64 y)) (neg.f64 x))
(/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -3 binary64)) (neg.f64 x))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (/.f64 x y))
(/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) y)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y)) (*.f64 (/.f64 x y) x))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (neg.f64 y)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (*.f64 x (/.f64 x y)))
(/.f64 (.f64 #s(literal -3 binary64) (.f64 y y)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (.f64 x #s(literal 1/3 binary64)) x))
(/.f64 (.f64 (.f64 y y) #s(literal -3 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) y) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) y))))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) y)))
(/.f64 (/.f64 (.f64 y y) x) (.f64 x #s(literal 1/3 binary64)))
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* 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) (.f64 y y))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 y (.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y y) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y))) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y y) #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 y y)))) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 y y)))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 y y)))) (.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (+.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 y y)) (+.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 y y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 y y)) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y #s(approx (+ (* y y) (* x x)) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 y y #s(approx (+ (* y y) (* x x)) (.f64 y y))) (fma.f64 y y #s(approx (+ ( y y) (* x x)) (.f64 y y)))) (.f64 (.f64 y y) (fma.f64 y y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (.f64 (.f64 y y) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y y) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (.f64 (.f64 y y) #s(literal 4 binary64))) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y y) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y))) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y y) #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y))))))
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y y) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y))) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y y) #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 y y #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 (.f64 y y) #s(literal 4 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 y (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 y y (fma.f64 y y #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y))) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(+.f64 (+.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(+.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 y y) (fma.f64 y y #s(approx (+ ( y y) (* x x)) (*.f64 y y))))
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)))
(.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 2 binary64) y) (.f64 (.f64 y y) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(*.f64 y #s(literal 2 binary64))
(.f64 y (.f64 #s(literal 2 binary64) y))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)) (fma.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 0 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) 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 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 y y))
(fma.f64 y y (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64) (.f64 (log.f64 y) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 y y)
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 3 binary64) x))
(pow.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -3 binary64) y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 y #s(literal -3 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) y)) (neg.f64 (.f64 x #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (*.f64 y #s(literal -3 binary64)) (neg.f64 x))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y))))
(/.f64 (neg.f64 y) (neg.f64 (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 3 binary64) y)))
(/.f64 y (*.f64 x #s(literal 1/3 binary64)))

eval55.0ms (0.7%)

Memory: -6.2MiB live, 149.2MiB allocated
Compiler: Compiled 7 002 to 998 computations (85.7% saved)

prune42.0ms (0.6%)

Memory

13.0MiB live, 129.9MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	484	2	486
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	485	9	494

Accuracy

100.0%

Counts

494 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.0%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
	81.0%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
✓	80.4%	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
✓	99.9%	(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	80.4%	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
✓	60.9%	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
✓	60.9%	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y))
	19.5%	#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 #s(approx (+ ( (/ 3 x) (* y (/ y x))) 1) (.f64 (.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) y) y)) (.f64 x x)))
✓	57.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 275 to 120 computations (56.4% saved)

regimes30.0ms (0.4%)

Memory

6.7MiB live, 89.2MiB allocated

Counts

19 → 1

Calls

Call 1

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

6.0ms	y
6.0ms	(*.f64 y y)
6.0ms	x
5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
5.0ms	(*.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)

regimes23.0ms (0.3%)

Memory

-17.8MiB live, 60.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

regimes37.0ms (0.5%)

Memory

-15.3MiB live, 70.4MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y))
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* 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))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))

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

Calls

5 calls:

7.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
4.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
94.8%	2	`x`
83.4%	2	`y`
85.2%	3	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
94.8%	2	`(*.f64 x x)`
83.4%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes6.0ms (0.1%)

Memory

14.4MiB live, 14.3MiB 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 (.f64 y y) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y))
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* 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))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.8%	2	`x`
94.8%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y))
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.6%	2	`x`
94.6%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

-28.9MiB live, 10.1MiB 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 (.f64 y y) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* y y)) (* y y)) (.f64 (.f64 y #s(literal 3 binary64)) y))
#s(approx (+ (+ (+ (* (* x x) (/ (* x x) (* (- x y) (+ y x)))) (neg (/ (pow y 4) (* (- x y) (+ y x))))) (* 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:

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

Results

Accuracy	Segments	Branch
85.6%	2	`x`
85.6%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB 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
57.2%	1	`y`
57.2%	1	`(*.f64 y y)`
57.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
57.2%	1	`x`
57.2%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch7.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.2128304290169689e-233	3.0888901136834306e-233

Samples

3.0ms

80×

valid

Compiler

Compiled 98 to 77 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (68.6% of total)

ival-mult: 1.0ms (68.6% of total)

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

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2128304290169689e-233	3.0888901136834306e-233

Compiler

Compiled 83 to 77 computations (7.2% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2128304290169689e-233	3.0888901136834306e-233

Compiler

Compiled 73 to 72 computations (1.4% saved)

bsearch8.0ms (0.1%)

Memory

-23.2MiB live, 16.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.5764591200283325e+68	1.3680060932956601e+69

Samples

4.0ms

96×

valid

Compiler

Compiled 66 to 78 computations (-18.2% saved)

Precisions

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

ival-add: 1.0ms (56.1% of total)

ival-mult: 1.0ms (56.1% of total)

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

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

simplify23.0ms (0.3%)

Memory

9.0MiB live, 49.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	210
1	36	210

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 1034804145491771/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (.f64 y y))) (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 1034804145491771/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 1034804145491771/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 639999999999999988951536501707878292303346104037179665828937417621504 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)))
#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 1034804145491771/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (.f64 y y))) (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 1034804145491771/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 1034804145491771/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 639999999999999988951536501707878292303346104037179665828937417621504 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)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

soundness1.1s (14.7%)

Memory

9.1MiB live, 719.3MiB allocated

Rules

10 540×	`lower-fma.f64`
10 540×	`lower-fma.f32`
10 226×	`lower-fma.f64`
10 226×	`lower-fma.f32`
9 354×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	215
0	58	213
1	279	165
2	2516	165
0	9468	157
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	30	214
0	51	169
1	256	130
2	2472	130
0	8729	126
0	7	36
0	12	36
1	54	32
2	517	26
3	7592	26
0	8199	23
0	530	3538
1	1720	3060
2	7392	3045
0	8049	2877
0	187	3038
1	632	2478
2	2796	1826
0	8979	1730

Stop Event

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

Compiler

Compiled 415 to 173 computations (58.3% saved)

preprocess150.0ms (2%)

Memory

-16.3MiB live, 101.5MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 346 to 140 computations (59.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample767.0ms (10.3%)

explain192.0ms (2.6%)

preprocess92.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize38.0ms (0.5%)

series7.0ms (0.1%)

simplify232.0ms (3.1%)

rewrite240.0ms (3.2%)

eval107.0ms (1.4%)

prune153.0ms (2.1%)

simplify342.0ms (4.6%)

localize115.0ms (1.5%)

series31.0ms (0.4%)

simplify209.0ms (2.8%)

rewrite380.0ms (5.1%)

eval593.0ms (7.9%)

prune337.0ms (4.5%)

simplify144.0ms (1.9%)

localize206.0ms (2.8%)

series24.0ms (0.3%)

simplify102.0ms (1.4%)

rewrite343.0ms (4.6%)

eval64.0ms (0.9%)

prune44.0ms (0.6%)

simplify199.0ms (2.7%)

localize72.0ms (1%)

series27.0ms (0.4%)

simplify103.0ms (1.4%)

rewrite798.0ms (10.7%)

eval55.0ms (0.7%)

prune42.0ms (0.6%)

regimes30.0ms (0.4%)

regimes23.0ms (0.3%)

regimes37.0ms (0.5%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

simplify23.0ms (0.3%)

soundness1.1s (14.7%)

preprocess150.0ms (2%)

end0.0ms (0%)

Profiling