Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 17 computations (37% saved)

sample1.5s (23.4%)

Memory

25.4MiB live, 1 485.0MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 763.0ms

ival-mult: 242.0ms (31.7% of total)

ival-add: 158.0ms (20.7% of total)

ival-div: 126.0ms (16.5% of total)

ival-sub: 119.0ms (15.6% of total)

ival-<: 87.0ms (11.4% of total)

ival-and: 17.0ms (2.2% of total)

exact: 11.0ms (1.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain108.0ms (1.7%)

Memory

-35.0MiB live, 245.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
82	-	-	`(/.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	50	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	50
↳	`(*.f64 y y)`	overflow	50
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	50
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	32	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	32
↳	`(*.f64 y y)`	underflow	79
↳	`(*.f64 x x)`	underflow	119
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	32

Confusion

	Predicted +	Predicted -
+	82	0
-	0	174

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	0
-	0	0	174

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	174
1	82

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 10.0ms (43.5% of total)

ival-add: 5.0ms (21.7% of total)

ival-sub: 4.0ms (17.4% of total)

ival-div: 4.0ms (17.4% of total)

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

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

preprocess386.0ms (6.2%)

Memory

9.0MiB live, 282.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify325.0ms (5.2%)

Memory

19.8MiB live, 261.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

-19.6MiB live, 58.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	20.275678506942626	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

18.0ms

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 (39.7% of total)

ival-sub: 2.0ms (19.8% of total)

ival-div: 2.0ms (19.8% of total)

ival-add: 2.0ms (19.8% of total)

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

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

series10.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

7 → 144

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (* y y) (* (- x y) (+ x y)))
2.0ms	y	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (* y y) (* (- x y) (+ x y)))
1.0ms	y	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (* y y) (* (- x y) (+ x y)))
1.0ms	x	@	-inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (* y y) (* (- x y) (+ x y)))
1.0ms	x	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (* y y) (* (- x y) (+ x y)))

simplify142.0ms (2.3%)

Memory

-24.5MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	1060
1	601	957
2	1966	905
3	7908	905
0	8902	851

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 135

Calls

Call 1

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

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

rewrite164.0ms (2.6%)

Memory

-6.2MiB live, 293.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	41
0	16	41
1	66	41
2	551	41
0	8160	39

Stop Event

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

Counts

7 → 836

Calls

Call 1

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

Outputs
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eval119.0ms (1.9%)

Memory: 21.4MiB live, 286.8MiB allocated
Compiler: Compiled 27 787 to 2 632 computations (90.5% saved)

prune22.0ms (0.4%)

Memory

-10.6MiB live, 73.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	964	7	971
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	965	7	972

Accuracy

100.0%

Counts

972 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.9%	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))
▶	44.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	44.7%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (*.f64 y y)))
	67.8%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
▶	32.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
▶	30.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	69.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 192 to 114 computations (40.6% saved)

simplify152.0ms (2.4%)

Memory

-12.2MiB live, 228.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	188
0	46	188
1	74	188
2	121	188
3	248	188
4	482	188
5	930	188
6	2160	188
7	5465	188
0	8556	181

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (0.8%)

Memory

-5.7MiB live, 117.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.14453125	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	43.17300521924365	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	14.044172148639262	#s(approx (* (- x y) (+ x y)) (*.f64 (neg.f64 y) y))
accuracy	20.275678506942626	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (*.f64 y y)))
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	13.979911965701987	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	20.275678506942626	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	44.41816453487144	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	19.30047206084965	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Samples

36.0ms

256×

valid

Compiler

Compiled 158 to 21 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 10.0ms (42.7% of total)

ival-div: 5.0ms (21.3% of total)

ival-add: 3.0ms (12.8% of total)

ival-neg: 3.0ms (12.8% of total)

ival-sub: 2.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.4%)

Memory

21.5MiB live, 60.2MiB allocated

Counts

19 → 396

Calls

Call 1

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

Outputs
#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 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 #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) (pow y 2)) (taylor 0 y) (#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) (pow y 2)) (taylor 0 y) (#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) (pow y 2)) (taylor 0 y) (#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 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 1 (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 (neg.f64 y) 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 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 (neg.f64 y) 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 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 (neg.f64 y) 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 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (patch #s(approx ( (- x y) (+ x y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (patch #s(approx ( (- x y) (+ x y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (patch #s(approx ( (- x y) (+ x y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (patch #s(approx ( (- x y) (+ x y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y 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 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y 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 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y 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 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) x) (patch (/.f64 (.f64 #s(literal -2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) x) (patch (/.f64 (.f64 #s(literal -2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) x) (patch (/.f64 (.f64 #s(literal -2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) x) (patch (/.f64 (.f64 #s(literal -2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -2 y) (taylor 0 y) (#s(alt (.f64 #s(literal -2 binary64) y) (patch (.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -2 y) (taylor 0 y) (#s(alt (.f64 #s(literal -2 binary64) y) (patch (.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -2 y) (taylor 0 y) (#s(alt (.f64 #s(literal -2 binary64) y) (patch (.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -2 y) (taylor 0 y) (#s(alt (.f64 #s(literal -2 binary64) y) (patch (.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf 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 (/ x y)) (/ x y)) 1) (taylor inf 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 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf 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 (/ 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 #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 inf 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 (/ x y)) (/ x y)) 1) (taylor inf 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>) () ())) ())
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#s(alt 1 (taylor -inf x) (#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 (+ (* -1 (/ y x)) (/ y x))) (taylor -inf x) (#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 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) (taylor -inf x) (#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 (* -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 #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 -inf x) (#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 (+ (* -1 (/ y x)) (/ y x))) (taylor -inf x) (#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 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) (taylor -inf x) (#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 (* -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 #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 -inf x) (#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 (+ (* -1 (/ y x)) (/ y x))) (taylor -inf x) (#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 (* -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)) #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 (* -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)) #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 -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 #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>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ y x)) (/ y x))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 (neg.f64 y) 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 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 (neg.f64 y) 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 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 #s(approx ( (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (patch #s(approx ( (- x y) (+ x y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (patch #s(approx ( (- x y) (+ x y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (patch #s(approx ( (- x y) (+ x y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (patch #s(approx ( (- x y) (+ x y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ y x)) (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #<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 #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #<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 #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) x) (patch (/.f64 (.f64 #s(literal -2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) x) (patch (/.f64 (.f64 #s(literal -2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) x) (patch (/.f64 (.f64 #s(literal -2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) x) (patch (/.f64 (.f64 #s(literal -2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -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 (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<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 x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* (neg y) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* y y) (* (- x y) (+ x y)) (neg y) (* x x) (/ y x))
2.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y 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)) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* (neg y) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* y y) (* (- x y) (+ x y)) (neg y) (* x x) (/ y x))
2.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y 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)) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* (neg y) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* y y) (* (- x y) (+ x y)) (neg y) (* x x) (/ y x))
1.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y 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)) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* (neg y) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* y y) (* (- x y) (+ x y)) (neg y) (* x x) (/ y x))
1.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y 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)) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (* (neg y) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* y y) (* (- x y) (+ x y)) (neg y) (* x x) (/ y x))

simplify144.0ms (2.3%)

Memory

13.9MiB live, 250.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	3096
1	615	2813
2	1988	2605
0	8040	2439

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 387

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

rewrite154.0ms (2.5%)

Memory

-25.9MiB live, 255.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	175
0	46	175
1	146	175
2	1044	173
0	8585	164

Stop Event

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

Counts

19 → 626

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

Outputs
#<batchref>
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eval123.0ms (2%)

Memory: 37.7MiB live, 305.6MiB allocated
Compiler: Compiled 19 997 to 2 186 computations (89.1% saved)

prune26.0ms (0.4%)

Memory

-9.8MiB live, 71.6MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 034	2	1 036
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	1 035	8	1 043

Accuracy

100.0%

Counts

1 043 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.8%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	67.9%	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))
✓	44.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	67.8%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
▶	45.4%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
✓	32.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	30.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	69.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 107 to 64 computations (40.2% saved)

simplify126.0ms (2%)

Memory

-15.2MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(fma.f64 x x (*.f64 (neg.f64 y) y))
cost-diff	128	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
cost-diff	0	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
cost-diff	320	(.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))
cost-diff	2112	(/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))
cost-diff	2624	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
cost-diff	0	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
cost-diff	0	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	306
0	47	269
1	90	269
2	211	269
3	721	261
4	4493	260
5	7226	260
0	8134	259

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (2.4%)

Memory

-14.3MiB live, 108.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(fma.f64 x x (*.f64 (neg.f64 y) y))
accuracy	13.979911965701987	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	20.275678506942626	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	19.808664898314642	(/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x)))
accuracy	19.81647739727353	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
accuracy	19.888450642146598	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
accuracy	20.273393497174187	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 x x)
accuracy	0.19140625	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
accuracy	19.81647739727353	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
accuracy	0	(*.f64 y y)
accuracy	0.19140625	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
accuracy	13.979911965701987	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	19.81647739727353	(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))

Samples

72.0ms

256×

valid

Compiler

Compiled 308 to 27 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 11.0ms (36.8% of total)

ival-div: 8.0ms (26.7% of total)

ival-add: 7.0ms (23.4% of total)

ival-sub: 1.0ms (3.3% of total)

ival-neg: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.5%)

Memory

9.0MiB live, 84.8MiB allocated

Counts

18 → 384

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (* y y) (* x x) (/ (+ y x) (+ (* (+ y x) y) (* x x))))
4.0ms	x	@	0	((* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (* y y) (* x x) (/ (+ y x) (+ (* (+ y x) y) (* x x))))
3.0ms	y	@	inf	((* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (* y y) (* x x) (/ (+ y x) (+ (* (+ y x) y) (* x x))))
2.0ms	y	@	-inf	((* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (* y y) (* x x) (/ (+ y x) (+ (* (+ y x) y) (* x x))))
2.0ms	y	@	0	((* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (* y y) (* x x) (/ (+ y x) (+ (* (+ y x) y) (* x x))))

simplify182.0ms (2.9%)

Memory

13.8MiB live, 210.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	487	4667
1	1557	4345
2	4694	3904
0	8593	3684

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 375

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

rewrite226.0ms (3.6%)

Memory

-8.1MiB live, 293.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	235
0	47	225
1	197	209
2	2011	209
0	8731	209

Stop Event

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

Counts

18 → 1 280

Calls

Call 1

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

Outputs
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eval333.0ms (5.3%)

Memory: 23.7MiB live, 637.0MiB allocated
Compiler: Compiled 78 891 to 5 233 computations (93.4% saved)

prune46.0ms (0.7%)

Memory

-12.0MiB live, 146.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	2 280	2	2 282
Fresh	0	0	0
Picked	3	1	4
Done	0	4	4
Total	2 283	7	2 290

Accuracy

100.0%

Counts

2 290 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	67.8%	(/.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (fma.f64 (+.f64 x y) y (.f64 x x)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
✓	67.8%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
▶	64.4%	#s(approx (/ (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))
✓	32.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	30.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	69.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 84 to 56 computations (33.3% saved)

simplify117.0ms (1.9%)

Memory

21.0MiB live, 141.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))
cost-diff	0	(-.f64 x y)
cost-diff	192	(.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (fma.f64 (+.f64 x y) y (*.f64 x x)))
cost-diff	2752	(/.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (fma.f64 (+.f64 x y) y (.f64 x x)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 y y))
cost-diff	0	(.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) x)
cost-diff	0	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	207
0	54	204
1	126	203
2	319	167
3	1151	159
4	5975	157
0	8274	155

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (1.9%)

Memory

-26.1MiB live, 166.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (fma.f64 (+.f64 x y) y (.f64 x x))))
accuracy	19.81647739727353	(/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))
accuracy	19.894730653216474	(.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (fma.f64 (+.f64 x y) y (*.f64 x x)))
accuracy	20.273393497174187	(/.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (fma.f64 (+.f64 x y) y (.f64 x x)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
accuracy	0.39769667789999746	(/.f64 #s(literal 2 binary64) (*.f64 y y))
accuracy	5.841778299103548	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
accuracy	8.73408066006496	(.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) x)
accuracy	18.515679700488963	#s(approx (/ (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))

Samples

67.0ms

256×

valid

Compiler

Compiled 212 to 35 computations (83.5% saved)

Precisions

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

ival-add: 23.0ms (44.4% of total)

ival-mult: 15.0ms (28.9% of total)

ival-div: 10.0ms (19.3% of total)

ival-sub: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.4%)

Memory

1.4MiB live, 39.7MiB allocated

Counts

9 → 204

Calls

Call 1

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

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

Calls

6 calls:

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

simplify197.0ms (3.1%)

Memory

-10.3MiB live, 244.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	2675
1	1638	2383
2	5642	2086
0	8356	1995

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 195

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

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

rewrite158.0ms (2.5%)

Memory

34.0MiB live, 264.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	164
0	54	161
1	264	111
2	2307	111
0	8306	111

Stop Event

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

Counts

9 → 644

Calls

Call 1

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

Outputs
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eval144.0ms (2.3%)

Memory: 18.5MiB live, 330.6MiB allocated
Compiler: Compiled 31 550 to 2 894 computations (90.8% saved)

prune53.0ms (0.8%)

Memory

-27.0MiB live, 60.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	838	1	839
Fresh	0	0	0
Picked	1	1	2
Done	1	4	5
Total	840	6	846

Accuracy

100.0%

Counts

846 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(/.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (fma.f64 (+.f64 x y) y (.f64 x x)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
✓	67.8%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	64.9%	#s(approx (/ (/ (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) x #s(literal -1 binary64)))
✓	32.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	30.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	69.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 261 to 103 computations (60.5% saved)

regimes29.0ms (0.5%)

Memory

-11.7MiB live, 27.8MiB allocated

Counts

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

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

Calls

3 calls:

20.0ms	x
4.0ms	y
4.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
84.1%	2	`x`
96.3%	4	`y`
93.4%	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)

regimes7.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

10 → 4

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.0%	4	`y`
92.3%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes10.0ms (0.2%)

Memory

-18.9MiB live, 18.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
3.0ms	y

Results

Accuracy	Segments	Branch
92.9%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
90.4%	2	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
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

11.7MiB live, 11.7MiB 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	y
1.0ms	x
1.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
69.8%	1	`x`
69.8%	1	`y`
69.8%	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

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch37.0ms (0.6%)

Memory

-6.5MiB live, 73.9MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.33573537427929e-38	2.3990569019948316e-37
11.0ms	4.382105658637769e-171	7.219472708838346e-169
13.0ms	1.016260496510646e-180	7.803005781858287e-179

Samples

21.0ms

304×

valid

Compiler

Compiled 301 to 287 computations (4.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (42.1% of total)

ival-add: 3.0ms (25.3% of total)

ival-sub: 2.0ms (16.8% of total)

ival-div: 2.0ms (16.8% of total)

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

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9763549069806016	1.0

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9763549069806016	1.0

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify26.0ms (0.4%)

Memory

-18.1MiB live, 60.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	367
1	75	367
2	78	367
3	80	367
4	81	367

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)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 4744938242327083/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6091515412016939/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 y #s(literal 5267953421726493/23945242826029513411849172299223580994042798784118784 binary64)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (/ ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) x #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(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)) (+.f64 (.f64 y y) (.f64 x x))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 4744938242327083/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6091515412016939/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 y #s(literal 5267953421726493/23945242826029513411849172299223580994042798784118784 binary64)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ (/ ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) x #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ (/ ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (* (/ (+ y x) (+ (* (+ y x) y) (* x x))) 1)) (+ (* (+ y x) y) (* x x))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) x #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))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal -1/2 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))

soundness713.0ms (11.4%)

Memory

-6.4MiB live, 496.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	487	4667
1	1557	4345
2	4694	3904
0	8593	3684
0	9	41
0	16	41
1	66	41
2	551	41
0	8160	39
0	36	164
0	54	161
1	264	111
2	2307	111
0	8306	111
0	189	1060
1	601	957
2	1966	905
3	7908	905
0	8902	851

Stop Event

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

Compiler

Compiled 258 to 100 computations (61.2% saved)

preprocess87.0ms (1.4%)

Memory: -7.4MiB live, 194.4MiB allocated
Remove: (abs x)
Compiler: Compiled 702 to 304 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.5s (23.4%)

explain108.0ms (1.7%)

preprocess386.0ms (6.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify325.0ms (5.2%)

localize25.0ms (0.4%)

series10.0ms (0.2%)

simplify142.0ms (2.3%)

rewrite164.0ms (2.6%)

eval119.0ms (1.9%)

prune22.0ms (0.4%)

simplify152.0ms (2.4%)

localize52.0ms (0.8%)

series24.0ms (0.4%)

simplify144.0ms (2.3%)

rewrite154.0ms (2.5%)

eval123.0ms (2%)

prune26.0ms (0.4%)

simplify126.0ms (2%)

localize149.0ms (2.4%)

series33.0ms (0.5%)

simplify182.0ms (2.9%)

rewrite226.0ms (3.6%)

eval333.0ms (5.3%)

prune46.0ms (0.7%)

simplify117.0ms (1.9%)

localize117.0ms (1.9%)

series23.0ms (0.4%)

simplify197.0ms (3.1%)

rewrite158.0ms (2.5%)

eval144.0ms (2.3%)

prune53.0ms (0.8%)

regimes29.0ms (0.5%)

regimes7.0ms (0.1%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch37.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify26.0ms (0.4%)

soundness713.0ms (11.4%)

preprocess87.0ms (1.4%)

end0.0ms (0%)

Profiling