Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

-28.9MiB live, 9.9MiB 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)

sample932.0ms (14.3%)

Memory

42.6MiB live, 1 895.6MiB allocated

Samples

615.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 418.0ms

ival-mult: 154.0ms (36.9% of total)

ival-add: 79.0ms (18.9% of total)

ival-<: 59.0ms (14.1% of total)

ival-div: 49.0ms (11.7% of total)

ival-sub: 48.0ms (11.5% of total)

ival-and: 15.0ms (3.6% of total)

exact: 9.0ms (2.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain103.0ms (1.6%)

Memory

-14.8MiB live, 222.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
74	-	-	`(/.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	39	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	39
↳	`(*.f64 y y)`	overflow	39
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	39
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	35	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	35
↳	`(*.f64 y y)`	underflow	91
↳	`(*.f64 x x)`	underflow	119
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	35

Confusion

	Predicted +	Predicted -
+	74	0
-	0	182

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	0	0
-	0	0	182

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	182
1	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 9.0ms (43.2% of total)

ival-add: 4.0ms (19.2% of total)

ival-sub: 3.0ms (14.4% of total)

ival-div: 3.0ms (14.4% of total)

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

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

preprocess409.0ms (6.3%)

Memory

21.4MiB live, 295.9MiB 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	11

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 (fma.f64 (neg.f64 y) y (*.f64 x x)) (hypot.f64 y x))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify341.0ms (5.2%)

Memory

-11.4MiB live, 263.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.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	35

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 (fma.f64 (neg.f64 y) y (*.f64 x x)) (hypot.f64 y x))
(*.f64 (-.f64 x y) (+.f64 x y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 y x)
(+.f64 (.f64 x x) (.f64 y y))
(hypot.f64 y x)
(*.f64 x x)
(*.f64 y y)

localize27.0ms (0.4%)

Memory

20.3MiB live, 58.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	18.28638543818216	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

19.0ms

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 (41.6% of total)

ival-add: 2.0ms (20.8% of total)

ival-sub: 1.0ms (10.4% of total)

ival-div: 1.0ms (10.4% of total)

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

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

series11.0ms (0.2%)

Memory

-16.5MiB live, 22.5MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (+ (* x x) (* y y)) (* y y))
1.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (+ (* x x) (* y y)) (* y y))
1.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (+ (* x x) (* y y)) (* y y))
1.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (+ (* x x) (* y y)) (* y y))
1.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (+ (* x x) (* y y)) (* y y))

simplify176.0ms (2.7%)

Memory

-8.7MiB live, 277.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 120×	`lower-fma.f64`
13 120×	`lower-fma.f32`
4 510×	`lower-*.f64`
4 510×	`lower-*.f32`
1 500×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	628
1	504	603
2	1609	563
3	6150	563
0	8169	455

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 111

Calls

Call 1

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

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

rewrite206.0ms (3.2%)

Memory

41.8MiB live, 233.2MiB 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	34
0	16	34
1	66	34
2	551	34
0	8183	26

Stop Event

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

Counts

6 → 583

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (hypot.f64 y x) (.f64 y x))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (fma.f64 (neg.f64 x) x (.f64 y y))) (neg.f64 (-.f64 x y)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 (-.f64 x y) x) (*.f64 y y)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (hypot.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 y x) (-.f64 y x)))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (-.f64 x y))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 y x) (.f64 y x)))
(.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (.f64 (/.f64 (-.f64 x y) (-.f64 (hypot.f64 y x) (.f64 y x))) #s(literal 1 binary64))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (/.f64 (+.f64 y x) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (/.f64 (hypot.f64 y x) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (hypot.f64 y x) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (+.f64 y x)))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) (/.f64 (+.f64 y x) (hypot.f64 y x)))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (hypot.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 x y)) (hypot.f64 y x)))
(*.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 y x)) (hypot.f64 y x)))
(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (+.f64 y x) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 x y) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 y x) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 y x (hypot.f64 y x))))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 y x)) (+.f64 y x))
(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y x (hypot.f64 y x)) (/.f64 (-.f64 x y) (hypot.f64 y x))))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 (hypot.f64 y x) (.f64 y x))) #s(literal 1 binary64)) (.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (/.f64 (+.f64 y x) (hypot.f64 y x))))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 (hypot.f64 y x) (.f64 y x))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 x y) (/.f64 (+.f64 y x) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 x y) (/.f64 (+.f64 y x) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y x) (-.f64 x y))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y x) (-.f64 x y))) (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (+.f64 y x)))
(.f64 (/.f64 (+.f64 y x) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(.f64 (/.f64 (+.f64 y x) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y x)) (fma.f64 (neg.f64 x) x (.f64 y y)))
(.f64 (pow.f64 (hypot.f64 y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (hypot.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))
(.f64 (neg.f64 (-.f64 x y)) (.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (hypot.f64 y x))))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 (+.f64 y x) (neg.f64 (hypot.f64 y x))))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 #s(literal -1 binary64) (hypot.f64 y x)))
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 (-.f64 x y) (neg.f64 (hypot.f64 y x))))
(.f64 (neg.f64 (+.f64 y x)) (.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) (hypot.f64 y x))))
(.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y x) (+.f64 y x))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x (hypot.f64 y x)) (hypot.f64 y x))))
(.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (hypot.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (-.f64 x y))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (+.f64 y x) (*.f64 (hypot.f64 y x) (+.f64 y x))))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (hypot.f64 y x))))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (+.f64 y x) (hypot.f64 y x))))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (+.f64 y x)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 (hypot.f64 y x) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (hypot.f64 y x)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 y x) (.f64 (fma.f64 y x (hypot.f64 y x)) (hypot.f64 y x))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) (/.f64 (+.f64 y x) (hypot.f64 y x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 y x (hypot.f64 y x))))
(.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 x y) (/.f64 (+.f64 y x) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (hypot.f64 y x))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (hypot.f64 y x)) #s(literal 1 binary64))
(.f64 (+.f64 y x) (.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal -1 binary64) (hypot.f64 y x))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (hypot.f64 y x)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 y x) (hypot.f64 y x)))
(pow.f64 (/.f64 (hypot.f64 y x) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (hypot.f64 y x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (hypot.f64 y x))
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(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (hypot.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (hypot.f64 (.f64 y y) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (hypot.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (hypot.f64 y x) (+.f64 y x)) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal -1 binary64)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (hypot.f64 y x)) #s(literal -1 binary64))
(/.f64 (hypot.f64 y x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (hypot.f64 y x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 x y))) (-.f64 (hypot.f64 y x) (.f64 y x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (+.f64 y x))) (-.f64 x y) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)))) (.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) y)) (.f64 (.f64 (.f64 (-.f64 x y) x) y) (-.f64 x y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 y x))) (+.f64 y x) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x))) (fma.f64 y x (hypot.f64 y x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 (hypot.f64 y x) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (hypot.f64 y x) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y (.f64 x x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 x (+.f64 y x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (.f64 x x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y) (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y) (.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 y) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 (neg.f64 y) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(fma.f64 y y (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 y x)))
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) x)
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 y))
(hypot.f64 (exp.f64 (log.f64 x)) y)
(hypot.f64 (neg.f64 y) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 y (exp.f64 (log.f64 x)))
(hypot.f64 y x)
(hypot.f64 x (exp.f64 (log.f64 y)))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x y)
(+.f64 (neg.f64 (.f64 (neg.f64 x) x)) (.f64 y y))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(+.f64 (.f64 y y) (neg.f64 (.f64 (neg.f64 x) x)))
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))
(.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval116.0ms (1.8%)

Memory: -6.4MiB live, 191.2MiB allocated
Compiler: Compiled 17 999 to 1 888 computations (89.5% saved)

prune14.0ms (0.2%)

Memory

5.6MiB live, 43.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	689	5	694
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	690	5	695

Accuracy

100.0%

Counts

695 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
▶	40.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	70.8%	(/.f64 (.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	38.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	62.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 112 to 78 computations (30.4% saved)

simplify216.0ms (3.3%)

Memory

-44.4MiB live, 209.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (+.f64 x y))
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))
cost-diff	1856	(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
cost-diff	0	(+.f64 x y)
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)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* 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	(+.f64 x y)
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)) (fma.f64 x x (.f64 y y)))

Rules

15 134×	`lower-fma.f32`
15 130×	`lower-fma.f64`
3 128×	`lower-*.f32`
3 120×	`lower-*.f64`
2 302×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	215
0	48	182
1	92	181
2	220	181
3	885	181
4	4315	181
0	8299	157

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (1.3%)

Memory

-10.7MiB live, 119.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))
accuracy	17.71851790335358	(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
accuracy	18.28638543818216	(/.f64 (.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	18.28638543818216	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	19.07671479989851	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	39.38856855343794	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	24.262043104118458	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(fma.f64 x x (*.f64 y y))
accuracy	18.28638543818216	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))

Samples

41.0ms

256×

valid

Compiler

Compiled 217 to 22 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 14.0ms (52.4% of total)

ival-div: 5.0ms (18.7% of total)

ival-add: 4.0ms (15% of total)

ival-sub: 2.0ms (7.5% of total)

ival-neg: 2.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.7%)

Memory

10.1MiB live, 49.1MiB allocated

Counts

15 → 348

Calls

Call 1

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

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

Calls

6 calls:

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

simplify213.0ms (3.3%)

Memory

23.1MiB live, 258.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 162×	`lower-fma.f64`
9 162×	`lower-fma.f32`
4 814×	`lower-*.f64`
4 814×	`lower-*.f32`
3 752×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	3785
1	1134	3298
2	3601	3035
0	9010	2513

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 336

Calls

Call 1

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

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

rewrite256.0ms (3.9%)

Memory

-15.9MiB live, 299.9MiB allocated

Rules

4 706×	`lower-fma.f32`
4 702×	`lower-fma.f64`
3 956×	`lower-/.f32`
3 950×	`lower-/.f64`
3 500×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	165
0	48	132
1	165	131
2	1409	131
0	8858	107

Stop Event

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

Counts

15 → 1 458

Calls

Call 1

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

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

eval462.0ms (7.1%)

Memory: 40.2MiB live, 611.8MiB allocated
Compiler: Compiled 70 919 to 4 259 computations (94% saved)

prune75.0ms (1.2%)

Memory

-6.9MiB live, 152.5MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	2 576	3	2 579
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	2 577	7	2 584

Accuracy

100.0%

Counts

2 584 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.0%	(/.f64 (fma.f64 (+.f64 y x) x (.f64 (+.f64 y x) (neg.f64 y))) (fma.f64 x x (.f64 y y)))
✓	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
✓	40.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	41.2%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (*.f64 y y))))
▶	47.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))
✓	38.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	62.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 80 to 56 computations (30% saved)

simplify160.0ms (2.5%)

Memory

11.7MiB live, 202.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 y x) (neg.f64 y))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (fma.f64 (+.f64 y x) x (.f64 (+.f64 y x) (neg.f64 y))) (fma.f64 x x (.f64 y y)))
cost-diff	384	(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) (neg.f64 y)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (*.f64 y y))))
cost-diff	0	(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
cost-diff	0	(fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y)))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))

Rules

10 994×	`lower-fma.f32`
10 986×	`lower-fma.f64`
3 250×	`lower-*.f32`
3 240×	`lower-*.f64`
1 820×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	203
0	52	195
1	90	195
2	164	195
3	403	195
4	924	195
5	1849	195
6	3658	195
7	6216	195
0	8357	177

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

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

localize122.0ms (1.9%)

Memory

29.8MiB live, 105.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 x x (*.f64 y y))
accuracy	0.0078125	(*.f64 (+.f64 y x) (neg.f64 y))
accuracy	0.025722509768442016	(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) (neg.f64 y)))
accuracy	18.28638543818216	(/.f64 (fma.f64 (+.f64 y x) x (.f64 (+.f64 y x) (neg.f64 y))) (fma.f64 x x (.f64 y y)))
accuracy	0	(*.f64 y y)
accuracy	0.139003759768442	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (*.f64 y y))))
accuracy	17.675838457216557	(/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
accuracy	19.07671479989851	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	4.926275541646153	(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
accuracy	12.26038273676723	(fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
accuracy	19.706878501435245	(fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y)))
accuracy	24.143463338808754	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))

Samples

102.0ms

256×

valid

Compiler

Compiled 184 to 31 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 68.0ms (77.3% of total)

ival-div: 7.0ms (8% of total)

ival-add: 6.0ms (6.8% of total)

ival-pow: 3.0ms (3.4% of total)

ival-sub: 2.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series123.0ms (1.9%)

Memory

-58.7MiB live, 52.7MiB allocated

Counts

14 → 324

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
69.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x x)) -1) (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x (/ x (pow y 4))) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (+ (* (+ y x) x) (* (+ y x) (neg y))) (/ (+ (* (+ y x) x) (* (+ y x) (neg y))) (+ (* x x) (* y y))) (* (+ y x) (neg y)) (+ (* x x) (* y y)) (* y y) (+ (* x x) (* y y)))
4.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x x)) -1) (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x (/ x (pow y 4))) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (+ (* (+ y x) x) (* (+ y x) (neg y))) (/ (+ (* (+ y x) x) (* (+ y x) (neg y))) (+ (* x x) (* y y))) (* (+ y x) (neg y)) (+ (* x x) (* y y)) (* y y) (+ (* x x) (* y y)))
3.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x x)) -1) (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x (/ x (pow y 4))) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (+ (* (+ y x) x) (* (+ y x) (neg y))) (/ (+ (* (+ y x) x) (* (+ y x) (neg y))) (+ (* x x) (* y y))) (* (+ y x) (neg y)) (+ (* x x) (* y y)) (* y y) (+ (* x x) (* y y)))
2.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x x)) -1) (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x (/ x (pow y 4))) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (+ (* (+ y x) x) (* (+ y x) (neg y))) (/ (+ (* (+ y x) x) (* (+ y x) (neg y))) (+ (* x x) (* y y))) (* (+ y x) (neg y)) (+ (* x x) (* y y)) (* y y) (+ (* x x) (* y y)))
2.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x x)) -1) (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x (/ x (pow y 4))) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (+ (* (+ y x) x) (* (+ y x) (neg y))) (/ (+ (* (+ y x) x) (* (+ y x) (neg y))) (+ (* x x) (* y y))) (* (+ y x) (neg y)) (+ (* x x) (* y y)) (* y y) (+ (* x x) (* y y)))

simplify271.0ms (4.2%)

Memory

40.5MiB live, 267.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 524×	`lower-fma.f64`
11 524×	`lower-fma.f32`
4 906×	`lower-+.f64`
4 906×	`lower-+.f32`
4 264×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	3261
1	1021	3061
2	3000	2862
0	8427	2490

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 315

Calls

Call 1

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

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

rewrite322.0ms (5%)

Memory

-36.6MiB live, 397.8MiB allocated

Rules

5 320×	`lower-/.f32`
5 312×	`lower-/.f64`
4 406×	`lower-*.f32`
4 396×	`lower-*.f64`
3 930×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	166
0	52	158
1	203	158
2	1719	158
0	8244	140

Stop Event

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

Counts

14 → 959

Calls

Call 1

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

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

eval309.0ms (4.7%)

Memory: 22.0MiB live, 355.5MiB allocated
Compiler: Compiled 42 819 to 3 952 computations (90.8% saved)

prune32.0ms (0.5%)

Memory

-29.2MiB live, 94.2MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 457	3	1 460
Fresh	0	0	0
Picked	3	0	3
Done	0	4	4
Total	1 460	7	1 467

Accuracy

100.0%

Counts

1 467 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
✓	40.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	39.8%	(.f64 (+.f64 y x) #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)))
▶	40.0%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
▶	55.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 #s(approx (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)))
✓	38.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	62.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 71 to 54 computations (23.9% saved)

simplify161.0ms (2.5%)

Memory

4.1MiB live, 179.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

11 200×	`lower-fma.f32`
11 196×	`lower-fma.f64`
2 516×	`lower-*.f32`
2 508×	`lower-*.f64`
1 796×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	256
0	53	256
1	96	256
2	178	256
3	323	256
4	633	256
5	1363	256
6	3405	256
7	6015	256
0	8172	233

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

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

localize81.0ms (1.2%)

Memory

-3.1MiB live, 184.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
accuracy	0.139003759768442	(.f64 (+.f64 y x) #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	0.13900375976844204	(fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
accuracy	38.51430059465846	#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	0.09375	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
accuracy	0.139003759768442	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
accuracy	38.42619155637707	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy	0.22842790954525827	(/.f64 #s(literal 2 binary64) (*.f64 y y))
accuracy	12.26038273676723	(fma.f64 #s(approx (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
accuracy	24.143463338808754	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 #s(approx (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)))
accuracy	24.587452797147307	#s(approx (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/.f64 #s(literal 2 binary64) (*.f64 y y)))

Samples

58.0ms

256×

valid

Compiler

Compiled 180 to 34 computations (81.1% saved)

Precisions

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

ival-mult: 13.0ms (32.4% of total)

ival-div: 10.0ms (24.9% of total)

ival-add: 7.0ms (17.4% of total)

ival-sub: 6.0ms (14.9% of total)

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

exact: 1.0ms (2.5% of total)

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

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

series94.0ms (1.5%)

Memory

-0.0MiB live, 83.3MiB allocated

Counts

12 → 276

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x x)) -1) (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/ 2 (* y y)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (/ (- 1 (/ y x)) x) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y))) (/ (+ (* (/ y x) (- -1 (/ y x))) 1) x) (+ (* (/ y x) (- -1 (/ y x))) 1))
2.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x x)) -1) (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/ 2 (* y y)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (/ (- 1 (/ y x)) x) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y))) (/ (+ (* (/ y x) (- -1 (/ y x))) 1) x) (+ (* (/ y x) (- -1 (/ y x))) 1))
2.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x x)) -1) (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/ 2 (* y y)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (/ (- 1 (/ y x)) x) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y))) (/ (+ (* (/ y x) (- -1 (/ y x))) 1) x) (+ (* (/ y x) (- -1 (/ y x))) 1))
2.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x x)) -1) (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/ 2 (* y y)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (/ (- 1 (/ y x)) x) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y))) (/ (+ (* (/ y x) (- -1 (/ y x))) 1) x) (+ (* (/ y x) (- -1 (/ y x))) 1))
2.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (* x x)) -1) (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/ 2 (* y y)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (/ (- 1 (/ y x)) x) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y))) (/ (+ (* (/ y x) (- -1 (/ y x))) 1) x) (+ (* (/ y x) (- -1 (/ y x))) 1))

simplify201.0ms (3.1%)

Memory

25.3MiB live, 219.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 466×	`lower-fma.f64`
8 466×	`lower-fma.f32`
3 216×	`lower-*.f64`
3 216×	`lower-*.f32`
2 404×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	3285
1	908	3115
2	2715	2789
0	8185	2583

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 270

Calls

Call 1

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

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

rewrite209.0ms (3.2%)

Memory

2.2MiB live, 242.7MiB allocated

Rules

5 120×	`lower-/.f32`
5 112×	`lower-/.f64`
4 148×	`lower-*.f32`
4 140×	`lower-*.f64`
2 950×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	220
0	53	220
1	232	220
2	1973	220
0	8300	197

Stop Event

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

Counts

12 → 255

Calls

Call 1

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

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

eval109.0ms (1.7%)

Memory: -5.2MiB live, 158.3MiB allocated
Compiler: Compiled 11 312 to 1 337 computations (88.2% saved)

prune20.0ms (0.3%)

Memory

-31.0MiB live, 48.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	572	0	572
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	572	7	579

Accuracy

100.0%

Counts

579 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
✓	40.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	39.8%	(.f64 (+.f64 y x) #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)))
✓	40.0%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
✓	55.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 #s(approx (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)))
✓	38.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	62.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 233 to 108 computations (53.6% saved)

regimes12.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.0%	2	`x`
94.9%	4	`y`
93.5%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

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

Outputs

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

#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

2 calls:

2.0ms	y
2.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
84.5%	2	`y`
92.5%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes23.0ms (0.3%)

Memory

-31.0MiB live, 5.7MiB 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 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 #s(approx (+ (* (* x (/ x (pow y 4))) -2) (/ 2 (* y y))) (/.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (*.f64 y 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:

22.0ms

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

Results

Accuracy	Segments	Branch
92.5%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB 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
62.1%	1	`y`
62.1%	1	`x`
62.1%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.2786611233824196	1.0

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.2786611233824196	1.0

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify49.0ms (0.7%)

Memory

16.7MiB live, 54.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative-binary64-+.f64`
4×	`-commutative-binary64-.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	242
1	40	242
2	43	242
3	45	242
4	46	242

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 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y))) #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 -3602879701896397/18014398509481984 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* 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 (/ (* (- 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 -3602879701896397/18014398509481984 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 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 x x (.f64 y y))) #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 -3602879701896397/18014398509481984 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* 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 (/ (* (- 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 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #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 -3602879701896397/18014398509481984 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))))
(if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #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))

soundness441.0ms (6.8%)

Memory

-11.0MiB live, 299.1MiB allocated

Rules

13 120×	`lower-fma.f64`
13 120×	`lower-fma.f32`
5 274×	`lower-*.f32`
5 268×	`lower-*.f64`
5 048×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	628
1	504	603
2	1609	563
3	6150	563
0	8169	455
0	9	34
0	16	34
1	66	34
2	551	34
0	8183	26

Stop Event

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

Compiler

Compiled 176 to 61 computations (65.3% saved)

preprocess66.0ms (1%)

Memory

9.6MiB live, 210.6MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 510 to 176 computations (65.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample932.0ms (14.3%)

explain103.0ms (1.6%)

preprocess409.0ms (6.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify341.0ms (5.2%)

localize27.0ms (0.4%)

series11.0ms (0.2%)

simplify176.0ms (2.7%)

rewrite206.0ms (3.2%)

eval116.0ms (1.8%)

prune14.0ms (0.2%)

simplify216.0ms (3.3%)

localize87.0ms (1.3%)

series44.0ms (0.7%)

simplify213.0ms (3.3%)

rewrite256.0ms (3.9%)

eval462.0ms (7.1%)

prune75.0ms (1.2%)

simplify160.0ms (2.5%)

localize122.0ms (1.9%)

series123.0ms (1.9%)

simplify271.0ms (4.2%)

rewrite322.0ms (5%)

eval309.0ms (4.7%)

prune32.0ms (0.5%)

simplify161.0ms (2.5%)

localize81.0ms (1.2%)

series94.0ms (1.5%)

simplify201.0ms (3.1%)

rewrite209.0ms (3.2%)

eval109.0ms (1.7%)

prune20.0ms (0.3%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes23.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify49.0ms (0.7%)

soundness441.0ms (6.8%)

preprocess66.0ms (1%)

end0.0ms (0%)

Profiling