Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB 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)

sample900.0ms (11.5%)

Memory

49.4MiB live, 1 690.1MiB allocated

Samples

608.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 420.0ms

ival-mult: 150.0ms (35.7% of total)

ival-add: 82.0ms (19.5% of total)

ival-<: 56.0ms (13.3% of total)

ival-div: 52.0ms (12.4% of total)

ival-sub: 51.0ms (12.2% of total)

ival-and: 17.0ms (4.1% of total)

exact: 9.0ms (2.1% of total)

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

Bogosity

explain100.0ms (1.3%)

Memory

-2.6MiB live, 198.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
87	-	-	`(/.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	51	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	51
↳	`(*.f64 y y)`	overflow	51
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	51
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	36	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	36
↳	`(*.f64 y y)`	underflow	73
↳	`(*.f64 x x)`	underflow	124
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	36

Confusion

	Predicted +	Predicted -
+	87	0
-	0	169

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	87	0	0
-	0	0	169

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	169
1	87

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 107 to 31 computations (71% saved)

Precisions

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

ival-mult: 9.0ms (39.2% of total)

ival-add: 8.0ms (34.8% of total)

ival-sub: 3.0ms (13.1% of total)

ival-div: 3.0ms (13.1% of total)

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

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

preprocess387.0ms (4.9%)

Memory

-9.4MiB live, 241.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 17 to 9 computations (47.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.0%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify351.0ms (4.5%)

Memory

-17.6MiB live, 255.6MiB 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))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (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 (0.3%)

Memory

11.6MiB live, 50.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	21.50062247653565	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

19.0ms

256×

valid

Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions

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

ival-mult: 7.0ms (60.2% of total)

ival-add: 2.0ms (17.2% of total)

ival-sub: 1.0ms (8.6% of total)

ival-div: 1.0ms (8.6% of total)

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

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

series13.0ms (0.2%)

Memory

-16.3MiB live, 22.3MiB allocated

Counts

6 → 132

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x))
1.0ms	y	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x))
1.0ms	x	@	-inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x))
1.0ms	y	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x))
1.0ms	x	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* (- x y) (+ x y)) (* x x))

simplify195.0ms (2.5%)

Memory

-5.2MiB live, 245.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 408×	`lower-fma.f64`
12 408×	`lower-fma.f32`
3 670×	`lower-*.f64`
3 670×	`lower-*.f32`
2 732×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	1024
1	601	921
2	1966	869
3	7908	869
0	8902	815

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 123

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

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 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)
(* -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)
(* -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)
(* -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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.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) (+ 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)
(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) (+ 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)

rewrite273.0ms (3.5%)

Memory

10.7MiB live, 239.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	16	38
1	66	38
2	551	38
0	8160	36

Stop Event

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

Counts

6 → 824

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

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

eval172.0ms (2.2%)

Memory: -4.4MiB live, 194.4MiB allocated
Compiler: Compiled 27 394 to 2 561 computations (90.7% saved)

prune196.0ms (2.5%)

Memory

13.7MiB live, 221.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	940	7	947
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	941	7	948

Accuracy

99.7%

Counts

948 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	24.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
	66.5%	(.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))
	32.8%	#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)))
▶	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	30.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	69.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 156 to 88 computations (43.6% saved)

simplify163.0ms (2.1%)

Memory

-3.3MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

15 756×	`lower-fma.f32`
15 754×	`lower-fma.f64`
3 082×	`lower-*.f32`
3 074×	`lower-*.f64`
2 316×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	183
0	38	183
1	65	183
2	120	183
3	237	183
4	437	183
5	918	183
6	2263	183
7	5556	183
0	8133	176

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.7%)

Memory

-7.2MiB live, 67.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	13.84433558981932	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	21.50062247653565	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	21.50062247653565	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
accuracy	39.03701709192767	#s(approx (+ (* x x) (* y y)) (*.f64 x x))
accuracy	44.542171986931194	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	19.734642523923995	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.0859375	(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
accuracy	0.15234375	(*.f64 (/.f64 x y) x)
accuracy	18.787649156131042	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))

Samples

29.0ms

256×

valid

Compiler

Compiled 155 to 19 computations (87.7% saved)

Precisions

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

ival-mult: 7.0ms (41.8% of total)

ival-div: 5.0ms (29.8% of total)

ival-add: 3.0ms (17.9% of total)

ival-sub: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

15 → 324

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (- x y) (+ x y)) (* x x) (* y y))
2.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (- x y) (+ x y)) (* x x) (* y y))
1.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (- x y) (+ x y)) (* x x) (* y y))
1.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (- x y) (+ x y)) (* x x) (* y y))
1.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ 2 y) (* (/ x y) x)) -1) (/ 2 y) (* (/ x y) x) (/ (* (- 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 y) (+ x y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (- x y) (+ x y)) (* x x) (* y y))

simplify164.0ms (2.1%)

Memory

-9.9MiB live, 226.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 974×	`lower-fma.f64`
12 974×	`lower-fma.f32`
3 796×	`lower-*.f64`
3 796×	`lower-*.f32`
2 836×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	2966
1	611	2715
2	1996	2431
0	8131	2270

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 315

Calls

Call 1

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

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

rewrite234.0ms (3%)

Memory

-10.5MiB live, 307.3MiB allocated

Rules

8 114×	`lower-fma.f32`
8 112×	`lower-fma.f64`
6 184×	`lower-*.f32`
6 176×	`lower-*.f64`
3 616×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	157
0	38	157
1	136	157
2	1005	157
0	8560	150

Stop Event

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

Counts

15 → 731

Calls

Call 1

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

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

eval251.0ms (3.2%)

Memory: 39.3MiB live, 411.2MiB allocated
Compiler: Compiled 34 113 to 2 493 computations (92.7% saved)

prune418.0ms (5.3%)

Memory

-33.6MiB live, 439.2MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 482	6	1 488
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	1 484	11	1 495

Accuracy

99.7%

Counts

1 495 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.2%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
✓	44.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
	66.5%	(.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))
▶	24.6%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) (-.f64 x y))
▶	24.6%	(.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))))
	32.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))
✓	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	62.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
▶	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
✓	30.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	69.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 245 to 141 computations (42.4% saved)

simplify160.0ms (2%)

Memory

19.2MiB live, 101.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(+.f64 y x)
cost-diff	320	(.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y y)) (*.f64 x x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
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	0	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) (* y y)) (*.f64 x x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
cost-diff	0	(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))

Rules

9 806×	`lower-fma.f32`
9 800×	`lower-fma.f64`
2 352×	`lower-*.f32`
2 336×	`lower-*.f64`
1 978×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	321
0	62	307
1	115	307
2	253	306
3	677	305
4	1479	305
5	3211	305
6	6004	305
0	8085	294

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

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

localize115.0ms (1.5%)

Memory

-38.3MiB live, 140.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))))
accuracy	1.030743840333515	(/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
accuracy	20.039956689194998	(.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y y)) (*.f64 x x))))
accuracy	39.03701709192767	#s(approx (+ (* x x) (* y y)) (*.f64 x x))
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	0.9838688403335151	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	15.118399499079219	(fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
accuracy	18.787649156131042	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	21.50062247653565	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
accuracy	39.03701709192767	#s(approx (+ (* x x) (* y y)) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.171875	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) (-.f64 x y))
accuracy	20.67931491457221	(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
accuracy	39.03701709192767	#s(approx (+ (* x x) (* y y)) (*.f64 x x))
accuracy	0.0859375	(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
accuracy	0.13649903868518143	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
accuracy	0.15234375	(*.f64 (/.f64 x y) x)
accuracy	18.787649156131042	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))

Samples

70.0ms

256×

valid

Compiler

Compiled 265 to 36 computations (86.4% saved)

Precisions

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

ival-mult: 25.0ms (48.2% of total)

ival-div: 13.0ms (25.1% of total)

ival-add: 9.0ms (17.3% of total)

ival-sub: 3.0ms (5.8% 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)

series53.0ms (0.7%)

Memory

16.1MiB live, 53.9MiB allocated

Counts

22 → 468

Calls

Call 1

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

Outputs
#s(alt (* 2 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) 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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) 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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) 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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) 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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow y 2) (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #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 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #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 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #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 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (.f64 x x))) (patch (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) #<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 x x))) (patch (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* 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) #s(approx (+ (* x x) (* y y)) (.f64 x x))) (patch (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* 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) #s(approx (+ (* x x) (* y y)) (.f64 x x))) (patch (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* y y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* y y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* y y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* y y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* 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 x x))) (patch (/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ (* x x) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (.f64 x x))) (patch (/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ (* x x) (* y 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 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (.f64 x x))) (patch (/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ (* x x) (* y 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 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (.f64 x x))) (patch (/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ (* x x) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#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 (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#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 (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#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 (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#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 (* -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 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 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))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 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))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 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))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64))) (patch #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x)) (taylor -inf x) (#s(alt (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y y)) (.f64 x x)))) (patch (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x)) (taylor -inf x) (#s(alt (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y y)) (.f64 x x)))) (patch (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (.f64 x x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (.f64 x x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (.f64 x x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (.f64 x x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) x) (patch (.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) x) (patch (.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) x) (patch (.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) x) (patch (.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (.f64 x x))) (-.f64 x y)) (patch (.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 x x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ y x)) (/ y x))) (taylor -inf x) (#s(alt (.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (.f64 x x))) (-.f64 x y)) (patch (.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 x x))) (-.f64 x 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 y x) #s(approx (+ ( x x) (* y y)) (.f64 x x))) (-.f64 x y)) (patch (.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 x x))) (-.f64 x 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 y x) #s(approx (+ ( x x) (* y y)) (.f64 x x))) (-.f64 x y)) (patch (.f64 (/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 x x))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #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 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #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 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #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 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (.f64 x x))))) (patch (.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y y)) (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ y x)) (/ y x))) (taylor -inf x) (#s(alt (.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (.f64 x x))))) (patch (.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y 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 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (.f64 x x))))) (patch (.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y 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 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (.f64 x x))))) (patch (.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ ( x x) (* y y)) (*.f64 x x))))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (* x x) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (/ 1 (* y y)) (* (- y x) (/ -1 (+ (* x x) (* y y)))) (- y x) (/ -1 (+ (* x x) (* y y))) (* (/ x y) x) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (* (+ y x) (* (- y x) (/ -1 (+ (* x x) (* y y))))))
3.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (* x x) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (/ 1 (* y y)) (* (- y x) (/ -1 (+ (* x x) (* y y)))) (- y x) (/ -1 (+ (* x x) (* y y))) (* (/ x y) x) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (* (+ y x) (* (- y x) (/ -1 (+ (* x x) (* y y))))))
3.0ms	y	@	0	((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (* x x) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (/ 1 (* y y)) (* (- y x) (/ -1 (+ (* x x) (* y y)))) (- y x) (/ -1 (+ (* x x) (* y y))) (* (/ x y) x) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (* (+ y x) (* (- y x) (/ -1 (+ (* x x) (* y y))))))
2.0ms	x	@	0	((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (* x x) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (/ 1 (* y y)) (* (- y x) (/ -1 (+ (* x x) (* y y)))) (- y x) (/ -1 (+ (* x x) (* y y))) (* (/ x y) x) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (* (+ y x) (* (- y x) (/ -1 (+ (* x x) (* y y))))))
2.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ (* (* (/ x y) x) (/ 2 y)) -1)) (+ (* (* (/ x y) x) (/ 2 y)) -1) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (* x x) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* x x) (* (neg y) y)) (* (neg y) y) (neg y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (/ 1 (* y y)) (* (- y x) (/ -1 (+ (* x x) (* y y)))) (- y x) (/ -1 (+ (* x x) (* y y))) (* (/ x y) x) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (* (+ y x) (* (- y x) (/ -1 (+ (* x x) (* y y))))))

simplify145.0ms (1.8%)

Memory

5.4MiB live, 232.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 160×	`lower-fma.f64`
8 160×	`lower-fma.f32`
3 950×	`lower-*.f64`
3 950×	`lower-*.f32`
2 552×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	488	4808
1	1481	4678
2	4448	4516
0	8229	4263

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 459

Calls

Call 1

Inputs
(* 2 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
1
(+ 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))))))
(* 1/2 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ 1 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))))))
(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)
1
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* -1 x)
(- y x)
(- y x)
(- y x)
(/ -1 (pow x 2))
(- (/ (pow y 2) (pow x 4)) (/ 1 (pow x 2)))
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) (pow x 8)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
1
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* 2 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
1
(+ 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
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
-1
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
-1
(- (* -2 (/ (pow x 2) (pow y 2))) 1)
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 2) (pow y 2)))))
(- (* -8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (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)
(/ 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
(- (/ (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)
-1
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ -1 y)
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1) y)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(/ -1 (pow y 2))
(/ (- (/ (pow x 2) (pow y 2)) 1) (pow y 2))
(/ (- (* -1 (/ (pow x 4) (pow y 4))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/ (- (/ (pow x 6) (pow y 6)) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
-1
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
-1
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (+ (* -1 (/ (+ x (* -1 x)) y)) (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) 1)
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(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
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y
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(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(/ 1 (pow y 2))
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(* -1 (/ (+ 1 (* -1 (/ x y))) y))
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(/ (- (/ (pow x 2) (pow y 2)) 1) (pow y 2))
(/ (- (* -1 (/ (pow x 4) (pow y 4))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/ (- (/ (pow x 6) (pow y 6)) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
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-1
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
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(+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
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(+ x y)
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(* -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))
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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)
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
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(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(/ -1 (pow y 2))
(- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2)))
(- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))
(- (* (pow x 2) (+ (* (pow x 2) (- (/ (pow x 2) (pow y 8)) (/ 1 (pow y 6)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))
(/ (pow x 2) y)
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(/ (pow x 2) y)
(/ (pow x 2) y)
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(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* 2 (/ (pow x 2) (pow y 2))) 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)
(* 2 (/ (pow x 2) (pow y 2)))
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1
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(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2))
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (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))))
(/ 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))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
1
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(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3))))) x)
(* -1 x)
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(/ -1 (pow x 2))
(/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2))
(/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) 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)))
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1
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1
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(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* 1/4 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))) (pow x 2))
(/ (- (+ (* 1/8 (/ (pow y 6) (pow x 4))) (* 1/2 (pow y 2))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* 1/16 (/ (pow y 8) (pow x 6))) (* 1/2 (pow y 2))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* -1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
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(/ 1 x)
(* -1 (/ (- (* -1 (/ y x)) 1) x))
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(* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
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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))))
(pow x 2)
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(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
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(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(/ 1 x)
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(/ -1 (pow x 2))
(/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2))
(/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
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1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* 2 (/ (pow x 2) (pow y 2)))
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(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
1
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Outputs
(* 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 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 y y))) (*.f64 y y))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 y y))) (*.f64 y y))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 y y))) (*.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 y (/.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 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(* 1/2 (/ (pow y 2) (pow x 2)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) y)
(* (pow y 2) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* 1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) y) y (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 y y))
(* 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 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 y y))) (*.f64 y y))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 y y))) (*.f64 y y))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 y y))) (*.f64 y y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ y (pow x 2)))
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(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(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))
(* 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))
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))

rewrite310.0ms (4%)

Memory

1.9MiB live, 371.2MiB allocated

Rules

5 188×	`lower-/.f32`
5 172×	`lower-/.f64`
4 952×	`lower-fma.f32`
4 946×	`lower-fma.f64`
3 662×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	258
0	62	246
1	242	242
2	1985	242
0	8198	233

Stop Event

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

Counts

22 → 1 339

Calls

Call 1

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

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

eval360.0ms (4.6%)

Memory: 38.4MiB live, 485.4MiB allocated
Compiler: Compiled 43 783 to 3 470 computations (92.1% saved)

prune342.0ms (4.4%)

Memory

-12.0MiB live, 475.3MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1 959	7	1 966
Fresh	1	1	2
Picked	1	4	5
Done	1	3	4
Total	1 962	15	1 977

Accuracy

99.7%

Counts

1 977 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.2%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
	66.5%	(.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))
✓	24.6%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) (-.f64 x y))
✓	24.6%	(.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))))
	30.1%	(.f64 (+.f64 y x) #s(approx ( (- y x) (/ -1 (+ (* x x) (* y y)))) (/.f64 (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)))
▶	69.1%	(.f64 (+.f64 y x) #s(approx ( (- y x) (/ -1 (+ (* x x) (* y y)))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
▶	30.3%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)) (-.f64 x y))
▶	69.1%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
▶	32.3%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
	62.5%	#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
▶	32.8%	#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)))
✓	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
✓	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
✓	30.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	69.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 396 to 216 computations (45.5% saved)

simplify150.0ms (1.9%)

Memory

-15.2MiB live, 212.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) #s(approx ( (- y x) (/ -1 (+ (* x x) (* y y)))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
cost-diff	704	(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
cost-diff	6272	(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)
cost-diff	0	#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x))
cost-diff	0	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)) (-.f64 x y))
cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
cost-diff	0	(*.f64 y (/.f64 y x))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
cost-diff	0	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)
cost-diff	0	#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))
cost-diff	0	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
cost-diff	6400	(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y))

Rules

13 772×	`lower-fma.f32`
13 764×	`lower-fma.f64`
3 626×	`lower-*.f32`
3 616×	`lower-*.f64`
1 818×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	521
0	87	521
1	158	515
2	361	513
3	884	511
4	2390	511
5	5540	511
0	8097	481

Stop Event

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

Calls

Call 1

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

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

localize212.0ms (2.7%)

Memory

-11.4MiB live, 259.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (+.f64 y x) #s(approx ( (- y x) (/ -1 (+ (* x x) (* y y)))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
accuracy	0.25331884768442015	(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy	3.765594037453087	(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
accuracy	19.68358925274928	#s(approx (* (- y x) (/ -1 (+ (* x x) (* y y)))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))
accuracy	0.109375	(fma.f64 (neg.f64 y) (/.f64 y x) y)
accuracy	0.171875	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)) (-.f64 x y))
accuracy	0.25236137698974614	(pow.f64 (/.f64 y x) #s(literal 3 binary64))
accuracy	44.520738064351924	#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.13671875	(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64))
accuracy	0.13671875	(*.f64 y (/.f64 y x))
accuracy	42.98858906817721	#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(-.f64 x y)
accuracy	0.171875	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
accuracy	43.36499148031213	#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x))
accuracy	0.078125	(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
accuracy	0.171875	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
accuracy	0.25331884768442015	(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy	19.680883608065084	#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))

Samples

125.0ms

256×

valid

Compiler

Compiled 394 to 50 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 46.0ms (46.2% of total)

ival-div: 19.0ms (19.1% of total)

ival-sub: 14.0ms (14.1% of total)

ival-add: 10.0ms (10% of total)

ival-pow: 5.0ms (5% of total)

ival-neg: 5.0ms (5% of total)

exact: 1.0ms (1% of total)

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

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

series80.0ms (1%)

Memory

-2.3MiB live, 72.8MiB allocated

Counts

25 → 576

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	((+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 x) (- x y) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* (/ -2 x) (* y (/ y x))) 1) (/ -2 x) (* y (/ y x)) (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) x) (- (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (pow (/ x y) 3)) (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (* (+ y x) (* (- y x) (/ -1 (+ (* x x) (* y y))))) (+ y x) (pow (/ x y) 3) (/ (+ (* (neg x) (/ x y)) x) y) (pow (/ y x) 3) (+ (* (neg y) (/ y x)) y) (* (- y x) (/ -1 (+ (* x x) (* y y)))))
8.0ms	x	@	-inf	((+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 x) (- x y) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* (/ -2 x) (* y (/ y x))) 1) (/ -2 x) (* y (/ y x)) (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) x) (- (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (pow (/ x y) 3)) (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (* (+ y x) (* (- y x) (/ -1 (+ (* x x) (* y y))))) (+ y x) (pow (/ x y) 3) (/ (+ (* (neg x) (/ x y)) x) y) (pow (/ y x) 3) (+ (* (neg y) (/ y x)) y) (* (- y x) (/ -1 (+ (* x x) (* y y)))))
4.0ms	y	@	-inf	((+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 x) (- x y) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* (/ -2 x) (* y (/ y x))) 1) (/ -2 x) (* y (/ y x)) (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) x) (- (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (pow (/ x y) 3)) (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (* (+ y x) (* (- y x) (/ -1 (+ (* x x) (* y y))))) (+ y x) (pow (/ x y) 3) (/ (+ (* (neg x) (/ x y)) x) y) (pow (/ y x) 3) (+ (* (neg y) (/ y x)) y) (* (- y x) (/ -1 (+ (* x x) (* y y)))))
4.0ms	y	@	0	((+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 x) (- x y) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* (/ -2 x) (* y (/ y x))) 1) (/ -2 x) (* y (/ y x)) (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) x) (- (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (pow (/ x y) 3)) (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (* (+ y x) (* (- y x) (/ -1 (+ (* x x) (* y y))))) (+ y x) (pow (/ x y) 3) (/ (+ (* (neg x) (/ x y)) x) y) (pow (/ y x) 3) (+ (* (neg y) (/ y x)) y) (* (- y x) (/ -1 (+ (* x x) (* y y)))))
4.0ms	x	@	inf	((+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 x) (- x y) (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (+ (* (/ -2 x) (* y (/ y x))) 1) (/ -2 x) (* y (/ y x)) (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (+ (* (neg y) (/ y x)) y) x)) x) (- (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (pow (/ x y) 3)) (+ (* (/ x y) (/ x y)) (- (/ x y) 1)) (* (+ y x) (* (- y x) (/ -1 (+ (* x x) (* y y))))) (+ y x) (pow (/ x y) 3) (/ (+ (* (neg x) (/ x y)) x) y) (pow (/ y x) 3) (+ (* (neg y) (/ y x)) y) (* (- y x) (/ -1 (+ (* x x) (* y y)))))

simplify178.0ms (2.3%)

Memory

3.3MiB live, 159.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 106×	`lower-fma.f64`
9 106×	`lower-fma.f32`
4 416×	`lower-*.f64`
4 416×	`lower-*.f32`
2 614×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	618	6576
1	1934	6187
2	6338	5629
0	8330	5397

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 564

Calls

Call 1

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

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

rewrite343.0ms (4.4%)

Memory

0.3MiB live, 315.8MiB allocated

Rules

4 808×	`lower-fma.f32`
4 800×	`lower-fma.f64`
4 276×	`lower-/.f32`
4 258×	`lower-/.f64`
4 100×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	420
0	87	416
1	381	411
2	3840	411
0	9055	396

Stop Event

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

Counts

25 → 618

Calls

Call 1

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

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

eval235.0ms (3%)

Memory: 45.9MiB live, 501.1MiB allocated
Compiler: Compiled 35 568 to 3 335 computations (90.6% saved)

prune168.0ms (2.1%)

Memory

-39.0MiB live, 369.8MiB allocated

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	1 356	6	1 362
Fresh	0	3	3
Picked	3	2	5
Done	0	7	7
Total	1 359	18	1 377

Accuracy

99.7%

Counts

1 377 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.2%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
	66.5%	(.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))
✓	24.6%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) (-.f64 x y))
✓	24.6%	(.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))))
	30.1%	(.f64 (+.f64 y x) #s(approx ( (- y x) (/ -1 (+ (* x x) (* y y)))) (/.f64 (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)))
	69.1%	(.f64 (+.f64 y x) #s(approx ( (- y x) (/ -1 (+ (* x x) (* y y)))) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 x y) (.f64 (/.f64 x y) x)) y)) y)))
	69.1%	(.f64 (+.f64 y x) #s(approx ( (- y x) (/ -1 (+ (* x x) (* y y)))) (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) y (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 (/.f64 x y) x))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
	30.3%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)) (-.f64 x y))
	30.3%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
	69.1%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x y) (.f64 (/.f64 x y) x)) y)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y)) (-.f64 x y))
✓	32.3%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
	29.3%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) #s(literal -1 binary64)))) (-.f64 x y))
	62.5%	#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
✓	32.8%	#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)))
✓	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
✓	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
✓	30.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	69.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 821 to 301 computations (63.3% saved)

regimes25.0ms (0.3%)

Memory

27.5MiB live, 66.7MiB allocated

Counts

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

(/.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:

9.0ms	y
8.0ms	x
7.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
83.1%	2	`x`
94.1%	3	`y`
92.4%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes41.0ms (0.5%)

Memory

-18.4MiB live, 21.0MiB allocated

Counts

15 → 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))
(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) (-.f64 x y))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
(/.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 x x)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 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)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x))

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)))

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.9%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
93.7%	3	`y`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes9.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.7%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
86.6%	2	`y`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes4.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

11 → 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))
(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) (-.f64 x y))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
(/.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 x x)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (* y y)) (*.f64 x x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
91.4%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes13.0ms (0.2%)

Memory

-29.7MiB live, 9.7MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
90.7%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

#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 x x)))

#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
90.7%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 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))
(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
#s(approx (/ (+ (* x x) (* (neg y) y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 x x))) (-.f64 x y))

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
90.6%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes4.0ms (0%)

Memory

12.1MiB live, 12.1MiB 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
69.2%	1	`x`
69.2%	1	`y`
69.2%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

bsearch22.0ms (0.3%)

Memory

-3.4MiB live, 36.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.7449648041327346e-40	1.2275045412928114e-39
10.0ms	4.280891115013227e-164	1.3045280242705849e-163

Samples

13.0ms

176×

valid

Compiler

Compiled 318 to 193 computations (39.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (45.5% of total)

ival-sub: 1.0ms (15.2% of total)

ival-div: 1.0ms (15.2% of total)

ival-add: 1.0ms (15.2% of total)

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

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

bsearch16.0ms (0.2%)

Memory

-8.2MiB live, 29.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.7449648041327346e-40	1.2275045412928114e-39
14.0ms	7.677973424094302e-162	3.21837629962415e-159

Samples

7.0ms

128×

valid

Compiler

Compiled 400 to 236 computations (41% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (42.8% of total)

ival-sub: 1.0ms (21.4% of total)

ival-div: 1.0ms (21.4% of total)

ival-add: 1.0ms (21.4% of total)

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

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9978005914843535	0.7228014443154871

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9978005914843535	0.7228014443154871

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9978005914843535	0.7228014443154871

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9978005914843535	0.7228014443154871

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9978005914843535	0.7228014443154871

Compiler

Compiled 20 to 14 computations (30% saved)

simplify25.0ms (0.3%)

Memory

12.8MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	636
1	73	636
2	76	636
3	78	636
4	79	636

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 8428703499289517/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 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 7355978596156267/6129982163463555433433388108601236734474956488734408704 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 3950954765291961/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 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 7355978596156267/6129982163463555433433388108601236734474956488734408704 binary64)) (.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x 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))) (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 #s(literal 2 binary64) y) (*.f64 (/.f64 x 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 -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x 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)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x 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 -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(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 y #s(literal 8428703499289517/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 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 7355978596156267/6129982163463555433433388108601236734474956488734408704 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 8428703499289517/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 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 7355978596156267/6129982163463555433433388108601236734474956488734408704 binary64)) (/.f64 (.f64 (+.f64 x y) (-.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 3950954765291961/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 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 7355978596156267/6129982163463555433433388108601236734474956488734408704 binary64)) (.f64 (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (+.f64 y x)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 3950954765291961/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 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 7355978596156267/6129982163463555433433388108601236734474956488734408704 binary64)) (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(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))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x 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))) (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 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 x y) (-.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))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 2 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))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x 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 -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x 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)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 x y) (-.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))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(approx (+ ( x x) (* y y)) (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x 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 -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal -1/2 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(approx (+ ( x x) (* y y)) (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (.f64 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 x y) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(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 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 x y) (-.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))

soundness664.0ms (8.5%)

Memory

-26.1MiB live, 425.4MiB allocated

Rules

12 408×	`lower-fma.f64`
12 408×	`lower-fma.f32`
5 274×	`lower-*.f32`
5 268×	`lower-*.f64`
5 048×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	16	38
1	66	38
2	551	38
0	8160	36
0	189	1024
1	601	921
2	1966	869
3	7908	869
0	8902	815

Stop Event

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

Compiler

Compiled 543 to 141 computations (74% saved)

preprocess239.0ms (3.1%)

Memory: 13.5MiB live, 137.8MiB allocated
Remove: (abs x)
Compiler: Compiled 1 090 to 290 computations (73.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample900.0ms (11.5%)

explain100.0ms (1.3%)

preprocess387.0ms (4.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify351.0ms (4.5%)

localize25.0ms (0.3%)

series13.0ms (0.2%)

simplify195.0ms (2.5%)

rewrite273.0ms (3.5%)

eval172.0ms (2.2%)

prune196.0ms (2.5%)

simplify163.0ms (2.1%)

localize53.0ms (0.7%)

series19.0ms (0.2%)

simplify164.0ms (2.1%)

rewrite234.0ms (3%)

eval251.0ms (3.2%)

prune418.0ms (5.3%)

simplify160.0ms (2%)

localize115.0ms (1.5%)

series53.0ms (0.7%)

simplify145.0ms (1.8%)

rewrite310.0ms (4%)

eval360.0ms (4.6%)

prune342.0ms (4.4%)

simplify150.0ms (1.9%)

localize212.0ms (2.7%)

series80.0ms (1%)

simplify178.0ms (2.3%)

rewrite343.0ms (4.4%)

eval235.0ms (3%)

prune168.0ms (2.1%)

regimes25.0ms (0.3%)

regimes41.0ms (0.5%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch22.0ms (0.3%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify25.0ms (0.3%)

soundness664.0ms (8.5%)

preprocess239.0ms (3.1%)

end0.0ms (0%)

Profiling