Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	18.7%	81.3%	0%	0%	0%	0
0%	0%	18.7%	81.3%	0%	0%	0%	1
0%	0%	18.7%	81.3%	0%	0%	0%	2
50%	9.4%	9.4%	81.3%	0%	0%	0%	3
50%	9.4%	9.4%	81.3%	0%	0%	0%	4
87.5%	16.4%	2.3%	81.3%	0%	0%	0%	5
87.5%	16.4%	2.3%	81.3%	0%	0%	0%	6
96.9%	18.1%	0.6%	81.3%	0%	0%	0%	7
96.9%	18.1%	0.6%	81.3%	0%	0%	0%	8
99.2%	18.6%	0.1%	81.3%	0%	0%	0%	9
99.2%	18.6%	0.1%	81.3%	0%	0%	0%	10
99.8%	18.7%	0%	81.3%	0%	0%	0%	11
99.8%	18.7%	0%	81.3%	0%	0%	0%	12

Compiler

Compiled 27 to 17 computations (37% saved)

sample1.5s (15.3%)

Memory

-88.5MiB live, 1 998.5MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 910.0ms

ival-mult: 512.0ms (56.3% of total)

ival-add: 111.0ms (12.2% of total)

ival-<: 105.0ms (11.5% of total)

ival-sub: 96.0ms (10.6% of total)

ival-div: 57.0ms (6.3% of total)

ival-and: 16.0ms (1.8% of total)

exact: 10.0ms (1.1% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain107.0ms (1.1%)

Memory

-19.4MiB live, 271.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
83	-	-	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	-	`(*.f64 (-.f64 x y) (+.f64 x y))`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`y`
0	-	-	`(+.f64 x y)`
0	-	-	`(-.f64 x y)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	47	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	47
↳	`(*.f64 y y)`	overflow	47
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	47
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	36	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	36
↳	`(*.f64 y y)`	underflow	77
↳	`(*.f64 x x)`	underflow	114
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	36

Confusion

	Predicted +	Predicted -
+	83	0
-	0	173

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	83	0	0
-	0	0	173

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	173
1	83

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 107 to 31 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 9.0ms (35.7% of total)

ival-sub: 8.0ms (31.8% of total)

ival-add: 4.0ms (15.9% of total)

ival-div: 3.0ms (11.9% of total)

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

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

preprocess452.0ms (4.5%)

Memory

11.0MiB live, 363.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 712×	`lower-fma.f64`
16 712×	`lower-fma.f32`
2 536×	`lower-*.f32`
2 530×	`lower-*.f64`
2 028×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	83
1	94	83
2	301	75
3	799	75
4	2239	75
5	4876	75
6	5512	75
7	5947	75
8	6282	75
9	6355	75
10	6883	75
0	9	15
0	16	15
1	29	15
2	55	15
3	120	15
4	245	15
5	532	15
6	1278	15
7	2989	15
8	5193	15
9	6736	15
10	7289	15
11	7520	15
12	7616	15
13	7625	15
14	7625	15
15	7683	15
16	7687	15
17	7687	15
18	7687	15
19	7946	15
0	8006	14

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 17 to 9 computations (47.1% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify459.0ms (4.6%)

Memory

20.8MiB live, 340.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

16 712×	`lower-fma.f64`
16 712×	`lower-fma.f32`
2 536×	`lower-*.f32`
2 530×	`lower-*.f64`
2 028×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	16	43
1	29	43
2	55	43
3	120	43
4	245	43
5	532	43
6	1278	43
7	2989	43
8	5193	43
9	6736	43
10	7289	43
11	7520	43
12	7616	43
13	7625	43
14	7625	43
15	7683	43
16	7687	43
17	7687	43
18	7687	43
19	7946	43
0	8006	41

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(*.f64 y y)

localize68.0ms (0.7%)

Memory

-6.9MiB live, 31.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 y y))
accuracy	20.531861510873142	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

17.0ms

256×

valid

Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions

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

ival-mult: 4.0ms (41.3% of total)

ival-add: 2.0ms (20.7% of total)

ival-sub: 1.0ms (10.3% of total)

ival-div: 1.0ms (10.3% of total)

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

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

series8.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#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 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 (.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 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 (.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 -1 (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ (pow x 2) (pow y 2))) 1) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ y x)) (/ y x))) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ y x)) (/ y x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ x y)) (/ x y)) 1) (taylor inf y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ x (* -1 x)) y)) 1) (taylor -inf y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1) (taylor -inf y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1) (taylor -inf y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) (taylor 0 x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) (taylor 0 x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) (taylor 0 x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (taylor inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (taylor inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<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 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<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 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) (taylor inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) (taylor inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) (taylor inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) (taylor -inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) (taylor -inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) (taylor -inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x 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 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 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

27 calls:

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

simplify813.0ms (8.1%)

Memory

-3.8MiB live, 238.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 670×	`lower-fma.f64`
11 670×	`lower-fma.f32`
3 562×	`lower-*.f64`
3 562×	`lower-*.f32`
2 656×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	931
1	568	808
2	1897	761
3	7844	761
0	8853	719

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite1.2s (11.7%)

Memory

-28.2MiB live, 214.9MiB allocated

Rules

5 274×	`lower-*.f32`
5 268×	`lower-*.f64`
5 048×	`lower-fma.f64`
5 048×	`lower-fma.f32`
4 376×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	16	35
1	66	35
2	551	35
0	8160	33

Stop Event

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

Counts

5 → 696

Calls

Call 1

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

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

eval169.0ms (1.7%)

Memory: 26.1MiB live, 105.5MiB allocated
Compiler: Compiled 27 370 to 2 092 computations (92.4% saved)

prune224.0ms (2.2%)

Memory

-15.7MiB live, 144.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	793	8	801
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	794	8	802

Accuracy

99.1%

Counts

802 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.6%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
	67.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	65.5%	(.f64 (fma.f64 x (neg.f64 x) (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 y y))))
▶	67.5%	(.f64 (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))) (+.f64 x y))
	26.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 y y) (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
▶	59.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal -1 binary64)))
	32.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	66.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 202 to 110 computations (45.5% saved)

simplify304.0ms (3%)

Memory

22.3MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(neg.f64 x)
cost-diff	128	(fma.f64 x (neg.f64 x) (*.f64 y y))
cost-diff	320	(.f64 (fma.f64 x (neg.f64 x) (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 y y))))
cost-diff	0	(fma.f64 x x (*.f64 y y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))
cost-diff	0	(.f64 (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))) (+.f64 x y))
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal -1 binary64)))
cost-diff	128	(fma.f64 (.f64 x x) (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	128	(fma.f64 (neg.f64 y) y (*.f64 x x))

Rules

13 752×	`lower-fma.f32`
13 744×	`lower-fma.f64`
2 288×	`lower-*.f32`
2 280×	`lower-*.f64`
1 684×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	190
0	49	188
1	93	188
2	163	188
3	346	188
4	818	188
5	1946	188
6	3945	188
7	6766	188
0	8109	188

Stop Event

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

Calls

Call 1

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

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

localize101.0ms (1%)

Memory

-25.1MiB live, 131.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 x (neg.f64 x) (*.f64 y y))
accuracy	0.0078125	(fma.f64 x x (*.f64 y y))
accuracy	0.3914294116687792	(/.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 y y)))
accuracy	21.93126473875114	(.f64 (fma.f64 x (neg.f64 x) (.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 y y))))
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(fma.f64 x x (*.f64 y y))
accuracy	0.15234375	(.f64 (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))) (+.f64 x y))
accuracy	20.12174638677713	(/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))
accuracy	0	(*.f64 x x)
accuracy	0.359857293855528	(/.f64 #s(literal 2 binary64) (*.f64 y y))
accuracy	14.01449175824682	(fma.f64 (.f64 x x) (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal -1 binary64))
accuracy	20.00725669094416	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal -1 binary64)))
accuracy	21.231683289908876	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 y y))
accuracy	20.531861510873142	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

56.0ms

256×

valid

Compiler

Compiled 194 to 27 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 20.0ms (52.4% of total)

ival-div: 7.0ms (18.3% of total)

ival-add: 7.0ms (18.3% of total)

ival-neg: 2.0ms (5.2% of total)

ival-sub: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

18 → 372

Calls

Call 1

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

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) y (.f64 x x)) (patch (fma.f64 (neg.f64 y) y (.f64 x x)) #<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 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 (.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 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 (.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 1 (taylor 0 y) (#s(alt (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow x 2) (pow y 2)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 4))) (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ (* (pow x 4) (- (pow x 2) (* -1 (pow x 2)))) (pow y 6)) (/ (pow x 2) (pow y 2))) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 2) (- (pow x 2) (* -1 (pow x 2)))) (pow y 4))))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
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#s(alt (- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) (pow x 8)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ (pow x 2) (pow y 2)) 1) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow x 4) (pow y 4))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ (pow x 6) (pow y 6)) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ (pow x 2) (pow y 2)) 1) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow x 4) (pow y 4))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ (pow x 6) (pow y 6)) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y y))) #<representation binary64>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+ (* (* x x) (/ 2 (* y y))) -1)
1.0ms	x	@	inf	(* (+ (* x (neg x)) (* y y)) (/ -1 (+ (* x x) (* y y))))
1.0ms	x	@	inf	(/ (- x y) (+ (* x x) (* y y)))
1.0ms	y	@	inf	(* (+ (* x (neg x)) (* y y)) (/ -1 (+ (* x x) (* y y))))
0.0ms	y	@	inf	(/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y)))

simplify337.0ms (3.4%)

Memory

-9.7MiB live, 344.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 602×	`lower-fma.f64`
12 602×	`lower-fma.f32`
3 730×	`lower-+.f64`
3 730×	`lower-+.f32`
3 250×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	4153
1	1049	3955
2	3251	3546
0	8426	3341

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 369

Calls

Call 1

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

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

rewrite84.0ms (0.8%)

Memory

-12.7MiB live, 146.8MiB allocated

Rules

930×	`lower-fma.f32`
922×	`lower-fma.f64`
880×	`lower-*.f32`
872×	`lower-*.f64`
748×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	157
0	49	157
1	184	156
0	1483	156

Stop Event

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

Counts

18 → 379

Calls

Call 1

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

Outputs
(+.f64 (.f64 x x) (neg.f64 (.f64 y y)))
(+.f64 (neg.f64 (.f64 y y)) (.f64 x x))
(+.f64 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y)))
(+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y)))
(+.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) (neg.f64 y)))
(+.f64 (.f64 x (+.f64 y x)) (.f64 (neg.f64 y) (+.f64 y x)))
(-.f64 (.f64 x x) (.f64 y y))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (neg.f64 (fma.f64 y y (.f64 x x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (fma.f64 y y (.f64 x x)))))
(fma.f64 y (neg.f64 y) (*.f64 x x))
(fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y)))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(fma.f64 x (-.f64 x y) (*.f64 y (-.f64 x y)))
(fma.f64 x (+.f64 y x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 #s(literal -1 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (-.f64 x y) y (*.f64 x (-.f64 x y)))
(fma.f64 (-.f64 x y) x (*.f64 y (-.f64 x y)))
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (neg.f64 (.f64 y y))))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y y (.f64 x x))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (fma.f64 y y (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (neg.f64 x))) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (neg.f64 (*.f64 y y))))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (fma.f64 y y (.f64 x x)))) (neg.f64 (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 x y) (+.f64 y x))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 x y) (+.f64 y x))) (-.f64 (.f64 x x) (neg.f64 (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (+.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
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eval229.0ms (2.3%)

Memory: 13.5MiB live, 171.3MiB allocated
Compiler: Compiled 18 680 to 1 126 computations (94% saved)

prune129.0ms (1.3%)

Memory

19.1MiB live, 141.2MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	876	9	885
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	881	12	893

Accuracy

99.6%

Counts

893 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.6%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
✓	67.5%	(.f64 (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))) (+.f64 x y))
	67.5%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	33.9%	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)) (+.f64 x y))
▶	68.1%	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) y)) (+.f64 x y))
▶	34.0%	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
	67.8%	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y)) (+.f64 x y))
	27.6%	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 y y)) (.f64 x x))))
▶	32.2%	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	59.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal -1 binary64)))
▶	42.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (*.f64 y y))))
✓	66.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 299 to 157 computations (47.5% saved)

simplify244.0ms (2.4%)

Memory

-6.8MiB live, 226.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
cost-diff	128	(fma.f64 (neg.f64 y) y (*.f64 x x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
cost-diff	0	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
cost-diff	0	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
cost-diff	0	(-.f64 (.f64 x (+.f64 x x)) (.f64 y y))
cost-diff	0	#s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (*.f64 y y)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (*.f64 y y))))
cost-diff	448	(/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (*.f64 y y))
cost-diff	0	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) y)
cost-diff	0	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) y))
cost-diff	0	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) y)) (+.f64 x y))
cost-diff	384	(fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64))

Rules

10 976×	`lower-fma.f32`
10 970×	`lower-fma.f64`
3 596×	`lower-*.f32`
3 586×	`lower-*.f64`
1 636×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	305
0	69	297
1	133	293
2	230	293
3	419	293
4	870	293
5	2336	293
6	6385	293
0	8159	288

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.1%)

Memory

-0.4MiB live, 164.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy	20.531861510873142	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	0.07421875	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
accuracy	0.15234375	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
accuracy	42.236416641593614	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy	0	#s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (*.f64 y y)))
accuracy	0.00390625	(-.f64 (.f64 x (+.f64 x x)) (.f64 y y))
accuracy	20.00725669094416	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (*.f64 y y))))
accuracy	24.547350656148264	(/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (*.f64 y y))
accuracy	43.38958189187606	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	0.0390625	(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) y)
accuracy	0.1015625	(fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64))
accuracy	0.15234375	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) y)) (+.f64 x y))
accuracy	20.21952906978703	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) y))

Samples

58.0ms

256×

valid

Compiler

Compiled 230 to 37 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 17.0ms (40.9% of total)

ival-mult: 11.0ms (26.5% of total)

ival-add: 8.0ms (19.3% of total)

ival-sub: 4.0ms (9.6% of total)

ival-neg: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

9.5MiB live, 47.5MiB allocated

Counts

17 → 384

Calls

Call 1

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

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

96 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (- (* x (+ x x)) (* y y)) (* y y))
2.0ms	x	@	0	(/ (+ (* (+ (/ x y) 1) (/ x y)) -1) y)
0.0ms	x	@	-inf	(/ (- 1 (/ y x)) x)
0.0ms	y	@	inf	(/ (- 1 (/ y x)) x)
0.0ms	x	@	0	(+ (* (+ (/ x y) 1) (/ x y)) -1)

simplify312.0ms (3.1%)

Memory

14.7MiB live, 403.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 774×	`lower-fma.f64`
17 774×	`lower-fma.f32`
3 532×	`lower-*.f64`
3 532×	`lower-*.f32`
2 982×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	4506
1	938	4122
2	2825	3810
0	8306	3596

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

rewrite309.0ms (3.1%)

Memory

-33.6MiB live, 452.8MiB allocated

Rules

5 232×	`lower-/.f32`
5 220×	`lower-/.f64`
4 872×	`lower-*.f32`
4 862×	`lower-*.f64`
3 878×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	259
0	69	253
1	294	235
2	2401	235
0	9115	230

Stop Event

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

Counts

17 → 514

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y))
(+.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) (.f64 y y)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) y)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) y)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(literal -1 binary64)) (-.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) y)))
(/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) (.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))) y)))
(/.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) y))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) (.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))) y))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) (.f64 y y))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) (.f64 y y)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) (.f64 y y)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) y)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) y))))
(.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 x #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) (.f64 y #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))))
(+.f64 (.f64 y #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) (.f64 x #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))))
(fma.f64 x #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) (.f64 y #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))))
(fma.f64 y #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) (.f64 x #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))))
(fma.f64 #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) x (.f64 y #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))))
(fma.f64 #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) y (.f64 x #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (.f64 y #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) (.f64 x #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) (-.f64 (.f64 (.f64 y #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) (.f64 y #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y)))) (.f64 (.f64 x #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) (.f64 y #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) (.f64 x #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y)))) (.f64 (.f64 y #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) (.f64 y #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))))) (-.f64 (.f64 x #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y))) (.f64 y #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y)))))
(/.f64 (.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(/.f64 (.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
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eval107.0ms (1.1%)

Memory: 32.5MiB live, 258.9MiB allocated
Compiler: Compiled 21 793 to 1 761 computations (91.9% saved)

prune145.0ms (1.4%)

Memory

-6.7MiB live, 213.3MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	915	3	918
Fresh	2	2	4
Picked	1	4	5
Done	1	2	3
Total	919	11	930

Accuracy

99.7%

Counts

930 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.6%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
✓	67.5%	(.f64 (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))) (+.f64 x y))
▶	67.5%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
▶	33.9%	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)) (+.f64 x y))
✓	34.0%	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y))
▶	26.8%	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (fma.f64 (.f64 y y) (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
✓	32.2%	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	60.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (*.f64 y y)) x #s(literal -1 binary64))))
▶	68.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64))))
✓	42.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (*.f64 y y))))
✓	66.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 223 to 116 computations (48% saved)

simplify205.0ms (2%)

Memory

-20.5MiB live, 294.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)) (+.f64 x y))
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (fma.f64 (.f64 y y) (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (+.f64 x x) (*.f64 y y))
cost-diff	0	(fma.f64 (/.f64 (+.f64 x x) (*.f64 y y)) x #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (*.f64 y y)) x #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (*.f64 y y)) x #s(literal -1 binary64))))
cost-diff	0	(/.f64 (+.f64 x x) y)
cost-diff	0	#s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64))))
cost-diff	384	(fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64))

Rules

10 672×	`lower-fma.f32`
10 662×	`lower-fma.f64`
2 676×	`lower-*.f32`
2 668×	`lower-*.f64`
1 890×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	351
0	76	349
1	142	342
2	250	342
3	482	342
4	917	342
5	1821	342
6	4698	342
7	7847	342
0	8228	342

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.1%)

Memory

9.1MiB live, 206.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
accuracy	0.15234375	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)) (+.f64 x y))
accuracy	0.158535009768442	(fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
accuracy	42.253640988183804	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 x x)
accuracy	0.1640625	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
accuracy	20.09830871348701	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.125	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	14.309320868121963	(fma.f64 (.f64 y y) (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64))
accuracy	41.940818036159605	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (fma.f64 (.f64 y y) (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
accuracy	0	#s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (*.f64 y y)) x #s(literal -1 binary64)))
accuracy	3.5156739010902562	(fma.f64 (/.f64 (+.f64 x x) (*.f64 y y)) x #s(literal -1 binary64))
accuracy	9.421837852924686	(/.f64 (+.f64 x x) (*.f64 y y))
accuracy	20.00725669094416	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (*.f64 y y)) x #s(literal -1 binary64))))
accuracy	0	(+.f64 x x)
accuracy	0	#s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))
accuracy	0.10546875	(fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64))
accuracy	20.00725669094416	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64))))

Samples

70.0ms

256×

valid

Compiler

Compiled 257 to 44 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 18.0ms (34.5% of total)

ival-mult: 16.0ms (30.7% of total)

ival-add: 11.0ms (21.1% of total)

ival-neg: 4.0ms (7.7% of total)

ival-sub: 3.0ms (5.8% of total)

exact: 1.0ms (1.9% of total)

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

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

series52.0ms (0.5%)

Memory

14.6MiB live, 52.8MiB allocated

Counts

22 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(/ (+ (* (/ y x) (- -1 (/ y x))) 1) x)
1.0ms	x	@	inf	(/ (+ x x) (* y y))
1.0ms	x	@	inf	(/ (+ (* (/ y x) (- -1 (/ y x))) 1) x)
0.0ms	x	@	0	(/ (+ x x) (* y y))
0.0ms	x	@	0	(/ (+ x x) y)

simplify395.0ms (3.9%)

Memory

-29.9MiB live, 370.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 108×	`lower-fma.f64`
12 108×	`lower-fma.f32`
3 606×	`lower-+.f64`
3 606×	`lower-+.f32`
3 352×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	394	5284
1	1187	4786
2	3408	4417
0	8489	4185

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 474

Calls

Call 1

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

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

rewrite350.0ms (3.5%)

Memory

28.7MiB live, 509.8MiB allocated

Rules

4 822×	`lower-/.f32`
4 808×	`lower-/.f64`
4 174×	`lower-*.f32`
4 166×	`lower-*.f64`
3 012×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	309
0	76	305
1	340	300
2	2828	298
0	8577	296

Stop Event

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

Counts

22 → 556

Calls

Call 1

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

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

eval138.0ms (1.4%)

Memory: -9.8MiB live, 408.5MiB allocated
Compiler: Compiled 22 785 to 1 840 computations (91.9% saved)

prune187.0ms (1.9%)

Memory

-8.7MiB live, 293.8MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	1 107	3	1 110
Fresh	0	0	0
Picked	0	5	5
Done	1	5	6
Total	1 108	13	1 121

Accuracy

99.7%

Counts

1 121 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.6%	(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
✓	67.5%	(.f64 (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))) (+.f64 x y))
✓	67.5%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
✓	33.9%	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)) (+.f64 x y))
	33.9%	(.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (*.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (+.f64 x y))
	34.0%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (-.f64 x y))
	67.4%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y))
✓	26.8%	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* y y) (* x x))) (fma.f64 (.f64 y y) (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 1 binary64)))
✓	32.2%	#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	60.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (*.f64 y y)) x #s(literal -1 binary64))))
✓	68.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64))))
✓	42.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (*.f64 y y))))
✓	66.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 469 to 162 computations (65.5% saved)

regimes24.0ms (0.2%)

Memory

15.8MiB live, 52.7MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y y)))

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

Calls

3 calls:

10.0ms	y
7.0ms	x
6.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
85.6%	2	`x`
94.5%	4	`y`
94.0%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes8.0ms (0.1%)

Memory

-28.2MiB live, 16.4MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

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

Calls

1 calls:

7.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
94.0%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x)))

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

Calls

1 calls:

4.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
94.0%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes5.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))

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

Calls

1 calls:

4.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
92.9%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes9.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (/.f64 (-.f64 (*.f64 x (+.f64 x x)) (*.f64 y y)) (*.f64 y y))))

#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x))))

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

Calls

2 calls:

4.0ms	y
4.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
82.8%	2	`y`
92.8%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes14.0ms (0.1%)

Memory

-32.7MiB live, 6.7MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x))))

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

Calls

1 calls:

13.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
92.8%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x))))

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Calls

1 calls:

3.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
92.0%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Calls

1 calls:

2.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
91.9%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Calls

1 calls:

2.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
91.6%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes4.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.8%	1	`y`
66.8%	1	`x`
66.8%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.641220073283772	0.9999869150760765

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.641220073283772	0.9999869150760765

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.641220073283772	0.9999869150760765

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.641220073283772	0.9999869150760765

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.641220073283772	0.9999869150760765

Compiler

Compiled 20 to 14 computations (30% saved)

simplify36.0ms (0.4%)

Memory

-19.4MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
22×	`*-commutative_binary64`
20×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	896
1	89	896
2	103	896
3	120	896
4	131	896
5	138	896
6	140	896

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (.f64 y y)))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 y y)) (.f64 x x)))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (.f64 y y)) x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 y y)) (.f64 x x)))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (.f64 y y)) x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 y y)) (.f64 x x)))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (.f64 y y)) x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x)))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (/.f64 (-.f64 (.f64 x (+.f64 x x)) (.f64 y y)) (.f64 y y)))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 y y)) (.f64 x x)))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (.f64 y y)) x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 y y)) (.f64 x x)))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 x y) #s(literal -1 binary64))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (.f64 y y)) x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (+ (* (neg y) y) (* x x)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 y y)) (.f64 x x)))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (* x x) (/ 2 (* y y))) -1) (fma.f64 (/.f64 (+.f64 x x) (.f64 y y)) x #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

soundness899.0ms (9%)

Memory

2.4MiB live, 1 007.2MiB allocated

Rules

12 602×	`lower-fma.f64`
12 602×	`lower-fma.f32`
11 670×	`lower-fma.f64`
11 670×	`lower-fma.f32`
5 274×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	16	35
1	66	35
2	551	35
0	8160	33
0	30	157
0	49	157
1	184	156
0	1483	156
0	178	931
1	568	808
2	1897	761
3	7844	761
0	8853	719
0	45	259
0	69	253
1	294	235
2	2401	235
0	9115	230
0	351	4153
1	1049	3955
2	3251	3546
0	8426	3341

Stop Event

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

Compiler

Compiled 1 010 to 313 computations (69% saved)

preprocess107.0ms (1.1%)

Memory

14.7MiB live, 171.0MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 1 280 to 236 computations (81.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.5s (15.3%)

explain107.0ms (1.1%)

preprocess452.0ms (4.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify459.0ms (4.6%)

localize68.0ms (0.7%)

series8.0ms (0.1%)

simplify813.0ms (8.1%)

rewrite1.2s (11.7%)

eval169.0ms (1.7%)

prune224.0ms (2.2%)

simplify304.0ms (3%)

localize101.0ms (1%)

series23.0ms (0.2%)

simplify337.0ms (3.4%)

rewrite84.0ms (0.8%)

eval229.0ms (2.3%)

prune129.0ms (1.3%)

simplify244.0ms (2.4%)

localize113.0ms (1.1%)

series28.0ms (0.3%)

simplify312.0ms (3.1%)

rewrite309.0ms (3.1%)

eval107.0ms (1.1%)

prune145.0ms (1.4%)

simplify205.0ms (2%)

localize113.0ms (1.1%)

series52.0ms (0.5%)

simplify395.0ms (3.9%)

rewrite350.0ms (3.5%)

eval138.0ms (1.4%)

prune187.0ms (1.9%)

regimes24.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

regimes14.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify36.0ms (0.4%)

soundness899.0ms (9%)

preprocess107.0ms (1.1%)

end0.0ms (0%)

Profiling