Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze8.0ms (0.1%)

Memory

-20.2MiB live, 17.0MiB 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)

sample3.4s (39%)

Memory

-72.8MiB live, 2 148.1MiB allocated

Samples

2.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-add: 1.4s (54.7% of total)

ival-mult: 595.0ms (23.4% of total)

ival-div: 281.0ms (11.1% of total)

ival-sub: 169.0ms (6.6% of total)

ival-<: 77.0ms (3% of total)

ival-and: 16.0ms (0.6% of total)

exact: 11.0ms (0.4% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain111.0ms (1.3%)

Memory

-25.0MiB live, 296.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
83	-	2	(1.0072386436504976e-164 -7.993506715307914e-159)	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	0	-	`(*.f64 (-.f64 x y) (+.f64 x y))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(*.f64 y y)`
0	-	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	46	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	46
↳	`(*.f64 y y)`	overflow	46
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	46
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	35	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	35
↳	`(*.f64 y y)`	underflow	74
↳	`(*.f64 x x)`	underflow	122
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	35

Confusion

	Predicted +	Predicted -
+	81	2
-	0	173

Precision

1.0

Recall

0.9759036144578314

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	2
-	0	0	173

Precision?

1.0

Recall?

0.9759036144578314

Freqs

test

number	freq
0	175
1	81

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 107 to 31 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 15.0ms (57.7% of total)

ival-add: 5.0ms (19.2% of total)

ival-sub: 3.0ms (11.5% of total)

ival-div: 3.0ms (11.5% of total)

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

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

preprocess383.0ms (4.3%)

Memory

25.5MiB live, 299.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 17 to 9 computations (47.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify324.0ms (3.7%)

Memory

-33.1MiB live, 286.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

26.0MiB live, 69.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 y y))
accuracy	20.09825165308694	(/.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: 4.0ms (34.7% of total)

ival-sub: 3.0ms (26% of total)

ival-div: 2.0ms (17.4% of total)

ival-add: 2.0ms (17.4% of total)

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

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

series11.0ms (0.1%)

Memory

-11.3MiB live, 27.9MiB allocated

Counts

6 → 120

Calls

Call 1

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

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow 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 (pow y 2)) (taylor inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) (taylor inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) (taylor inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) (taylor inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 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 (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (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 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) (taylor -inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) (taylor -inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) (taylor -inf y) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ (pow x 2) (pow y 2))) 1) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) (taylor 0 x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) (taylor 0 x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) (taylor 0 x) (#s(alt (.f64 (-.f64 x y) (+.f64 x y)) (patch (.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ y x)) (/ y x))) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (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 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 (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 y y)) (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ y x)) (/ y x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (patch (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (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 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 (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	y	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))
1.0ms	x	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))
1.0ms	y	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))
1.0ms	x	@	-inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))
1.0ms	x	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (* x x) (* y y))

simplify139.0ms (1.6%)

Memory

26.5MiB live, 258.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	952
1	568	849
2	1892	797
3	7791	797
0	8784	755

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 117

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

rewrite192.0ms (2.2%)

Memory

-27.2MiB live, 418.8MiB 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 → 708

Calls

Call 1

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

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

eval97.0ms (1.1%)

Memory: 17.3MiB live, 250.6MiB allocated
Compiler: Compiled 27 813 to 2 131 computations (92.3% saved)

prune133.0ms (1.5%)

Memory

7.7MiB live, 329.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	818	7	825
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	819	7	826

Accuracy

99.7%

Counts

826 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
	42.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
	68.0%	(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) (-.f64 y x))
▶	59.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
▶	28.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
▶	36.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	64.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 176 to 96 computations (45.5% saved)

simplify120.0ms (1.4%)

Memory

-33.0MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

10 620×	`lower-fma.f32`
10 614×	`lower-fma.f64`
2 586×	`lower-*.f32`
2 578×	`lower-*.f64`
1 918×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	176
0	41	172
1	74	172
2	138	172
3	256	172
4	420	172
5	760	172
6	1538	172
7	3814	172
0	8232	172

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (0.6%)

Memory

35.3MiB live, 116.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.140625	(/.f64 #s(literal 2 binary64) (*.f64 y y))
accuracy	15.39732342840625	(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
accuracy	21.60647082388629	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	5.1884547908488345	(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
accuracy	10.828897038788462	(/.f64 y (*.f64 x x))
accuracy	39.76061170346171	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
accuracy	40.96328130345695	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	22.57754950438181	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 y y (*.f64 x x))
accuracy	20.09825165308694	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))

Samples

36.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

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

ival-mult: 9.0ms (39.9% of total)

ival-div: 6.0ms (26.6% of total)

ival-add: 6.0ms (26.6% of total)

ival-sub: 2.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Memory

-26.0MiB live, 51.9MiB allocated

Counts

16 → 336

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (+ (* (/ 2 (* y y)) (* x x)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 2 (* y y)) (* y y) (+ (* y y) (* x x)) (* x x))
3.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (+ (* (/ 2 (* y y)) (* x x)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 2 (* y y)) (* y y) (+ (* y y) (* x x)) (* x x))
2.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (+ (* (/ 2 (* y y)) (* x x)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 2 (* y y)) (* y y) (+ (* y y) (* x x)) (* x x))
1.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (+ (* (/ 2 (* y y)) (* x x)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 2 (* y y)) (* y y) (+ (* y y) (* x x)) (* x x))
1.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* -2 y) (/ y (* x x))) 1) (* -2 y) (/ y (* x x)) (+ (* (/ 2 (* y y)) (* x x)) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 2 (* y y)) (* y y) (+ (* y y) (* x x)) (* x x))

simplify166.0ms (1.9%)

Memory

6.1MiB live, 283.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 330×	`lower-fma.f64`
13 330×	`lower-fma.f32`
3 826×	`lower-*.f64`
3 826×	`lower-*.f32`
2 850×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	2640
1	622	2521
2	2015	2443
0	8217	2283

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 327

Calls

Call 1

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

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

rewrite160.0ms (1.8%)

Memory

2.6MiB live, 321.4MiB allocated

Rules

6 168×	`lower-fma.f32`
6 162×	`lower-fma.f64`
4 454×	`lower-*.f32`
4 446×	`lower-*.f64`
4 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	158
0	41	154
1	160	154
2	1172	154
0	8522	154

Stop Event

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

Counts

16 → 702

Calls

Call 1

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

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

eval257.0ms (2.9%)

Memory: 29.5MiB live, 337.8MiB allocated
Compiler: Compiled 26 833 to 2 165 computations (91.9% saved)

prune190.0ms (2.2%)

Memory

-24.6MiB live, 330.8MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 084	3	1 087
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	1 087	7	1 094

Accuracy

100.0%

Counts

1 094 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	60.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2 binary64) #s(literal -1 binary64)))
▶	66.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
▶	37.9%	#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)))
✓	28.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	36.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	64.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 76 to 46 computations (39.5% saved)

simplify132.0ms (1.5%)

Memory

7.3MiB live, 191.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

10 620×	`lower-fma.f32`
10 614×	`lower-fma.f64`
2 586×	`lower-*.f32`
2 578×	`lower-*.f64`
1 918×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	155
0	42	155
1	82	155
2	156	155
3	262	155
4	406	155
5	739	155
6	1519	155
7	3798	155
0	8233	152

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

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

localize121.0ms (1.4%)

Memory

-9.0MiB live, 148.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	21.60647082388629	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 2 binary64) #s(literal -1 binary64)))
accuracy	21.74916516822363	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.14681625976844204	(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
accuracy	21.60647082388629	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.150722509768442	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	39.76061170346171	#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)))

Samples

106.0ms

256×

valid

Compiler

Compiled 127 to 28 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 51.0ms (70.3% of total)

ival-mult: 14.0ms (19.3% of total)

ival-add: 6.0ms (8.3% of total)

ival-sub: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.3%)

Memory

-16.5MiB live, 65.7MiB allocated

Counts

15 → 312

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* -2 y) x) (* -2 y) (+ (* (/ (* 2 x) y) (/ x y)) -1) (* 2 x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* 2 x) y) (+ (* (/ (* x x) (* y y)) 2) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* x x) (* y y)) (* x x) (/ y x) (/ x y) (* y y))
4.0ms	y	@	-inf	((+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* -2 y) x) (* -2 y) (+ (* (/ (* 2 x) y) (/ x y)) -1) (* 2 x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* 2 x) y) (+ (* (/ (* x x) (* y y)) 2) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* x x) (* y y)) (* x x) (/ y x) (/ x y) (* y y))
2.0ms	x	@	inf	((+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* -2 y) x) (* -2 y) (+ (* (/ (* 2 x) y) (/ x y)) -1) (* 2 x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* 2 x) y) (+ (* (/ (* x x) (* y y)) 2) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* x x) (* y y)) (* x x) (/ y x) (/ x y) (* y y))
2.0ms	y	@	0	((+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* -2 y) x) (* -2 y) (+ (* (/ (* 2 x) y) (/ x y)) -1) (* 2 x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* 2 x) y) (+ (* (/ (* x x) (* y y)) 2) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* x x) (* y y)) (* x x) (/ y x) (/ x y) (* y y))
2.0ms	y	@	inf	((+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* -2 y) x) (* -2 y) (+ (* (/ (* 2 x) y) (/ x y)) -1) (* 2 x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* 2 x) y) (+ (* (/ (* x x) (* y y)) 2) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* x x) (* y y)) (* x x) (/ y x) (/ x y) (* y y))

simplify136.0ms (1.5%)

Memory

43.3MiB live, 231.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 516×	`lower-fma.f64`
9 516×	`lower-fma.f32`
4 604×	`lower-*.f64`
4 604×	`lower-*.f32`
1 680×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	2211
1	440	2160
2	1417	2058
3	5093	2052
0	8108	1941

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

rewrite182.0ms (2.1%)

Memory

-29.5MiB live, 365.4MiB allocated

Rules

5 488×	`lower-/.f32`
5 478×	`lower-/.f64`
4 076×	`lower-*.f32`
4 068×	`lower-*.f64`
3 894×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	143
0	42	143
1	181	133
2	1518	131
0	8380	126

Stop Event

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

Counts

15 → 527

Calls

Call 1

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

Outputs
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y #s(literal -2 binary64)) y) (.f64 (.f64 y #s(literal -2 binary64)) y)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 y #s(literal -2 binary64)) y) (.f64 (.f64 y #s(literal -2 binary64)) y)) (.f64 (.f64 (*.f64 x x) x) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y #s(literal -2 binary64)) y) (.f64 (.f64 y #s(literal -2 binary64)) y)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y #s(literal -2 binary64)) y) (.f64 (.f64 y #s(literal -2 binary64)) y)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y #s(literal -2 binary64)) y) (.f64 (.f64 y #s(literal -2 binary64)) y)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y #s(literal -2 binary64)) y) (.f64 (.f64 y #s(literal -2 binary64)) y)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))))))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
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(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
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(*.f64 y y)
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eval105.0ms (1.2%)

Memory: 7.5MiB live, 324.2MiB allocated
Compiler: Compiled 13 130 to 1 081 computations (91.8% saved)

prune144.0ms (1.6%)

Memory

10.4MiB live, 221.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	837	2	839
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	839	7	846

Accuracy

100.0%

Counts

846 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	37.9%	#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)))
▶	61.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	28.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
▶	60.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 (/.f64 x (.f64 y y)) x)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal 2 binary64) #s(literal 1 binary64))))
✓	36.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	64.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 95 to 51 computations (46.3% saved)

simplify206.0ms (2.3%)

Memory

9.6MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	(fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
cost-diff	128	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 (/.f64 x (.f64 y y)) x)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal 2 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 (/.f64 x (.f64 y y)) x)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal 2 binary64) #s(literal 1 binary64))))
cost-diff	128	(fma.f64 (.f64 (/.f64 x (.f64 y y)) x) #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff	384	(.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 (/.f64 x (*.f64 y y)) x))

Rules

8 092×	`lower-fma.f32`
8 086×	`lower-fma.f64`
2 840×	`lower-*.f32`
2 832×	`lower-*.f64`
2 508×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	189
0	36	189
1	73	189
2	178	181
3	507	165
4	1094	149
5	1816	149
6	2587	149
7	4294	149
0	8518	147

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

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

localize60.0ms (0.7%)

Memory

-33.8MiB live, 122.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	6.153639541271496	(fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
accuracy	8.03321658965493	(/.f64 x (*.f64 y y))
accuracy	21.60647082388629	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
accuracy	6.217220515108196	(.f64 (/.f64 x (.f64 y y)) x)
accuracy	8.03321658965493	(/.f64 x (*.f64 y y))
accuracy	12.179215554173195	(/.f64 (fma.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 (/.f64 x (.f64 y y)) x)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal 2 binary64) #s(literal 1 binary64)))
accuracy	21.60647082388629	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 (/.f64 x (.f64 y y)) x)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal 2 binary64) #s(literal 1 binary64))))

Samples

43.0ms

256×

valid

Compiler

Compiled 155 to 26 computations (83.2% saved)

Precisions

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

ival-mult: 12.0ms (43.9% of total)

ival-div: 7.0ms (25.6% of total)

ival-add: 6.0ms (21.9% of total)

ival-sub: 2.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Memory

26.1MiB live, 62.7MiB allocated

Counts

9 → 204

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (* (/ x (* y y)) x) (* (/ x (* y y)) x)) (+ (* (* (/ x (* y y)) x) 2) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* (* (* (/ x (* y y)) x) (* (/ x (* y y)) x)) 4) -1) (+ (* (* (/ x (* y y)) x) 2) 1)) (* x 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ x (* y y)) (* x 2)) -1) (/ x (* y y)) (* (/ x (* y y)) x))
3.0ms	x	@	inf	((* (* (/ x (* y y)) x) (* (/ x (* y y)) x)) (+ (* (* (/ x (* y y)) x) 2) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* (* (* (/ x (* y y)) x) (* (/ x (* y y)) x)) 4) -1) (+ (* (* (/ x (* y y)) x) 2) 1)) (* x 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ x (* y y)) (* x 2)) -1) (/ x (* y y)) (* (/ x (* y y)) x))
3.0ms	y	@	0	((* (* (/ x (* y y)) x) (* (/ x (* y y)) x)) (+ (* (* (/ x (* y y)) x) 2) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* (* (* (/ x (* y y)) x) (* (/ x (* y y)) x)) 4) -1) (+ (* (* (/ x (* y y)) x) 2) 1)) (* x 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ x (* y y)) (* x 2)) -1) (/ x (* y y)) (* (/ x (* y y)) x))
2.0ms	x	@	0	((* (* (/ x (* y y)) x) (* (/ x (* y y)) x)) (+ (* (* (/ x (* y y)) x) 2) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* (* (* (/ x (* y y)) x) (* (/ x (* y y)) x)) 4) -1) (+ (* (* (/ x (* y y)) x) 2) 1)) (* x 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ x (* y y)) (* x 2)) -1) (/ x (* y y)) (* (/ x (* y y)) x))
2.0ms	y	@	inf	((* (* (/ x (* y y)) x) (* (/ x (* y y)) x)) (+ (* (* (/ x (* y y)) x) 2) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* (* (* (/ x (* y y)) x) (* (/ x (* y y)) x)) 4) -1) (+ (* (* (/ x (* y y)) x) 2) 1)) (* x 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ x (* y y)) (* x 2)) -1) (/ x (* y y)) (* (/ x (* y y)) x))

simplify205.0ms (2.3%)

Memory

-20.6MiB live, 218.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 240×	`lower-fma.f64`
11 240×	`lower-fma.f32`
4 488×	`lower-*.f64`
4 488×	`lower-*.f32`
1 782×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1768
1	438	1722
2	1423	1722
3	5043	1630
0	8176	1536

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite285.0ms (3.2%)

Memory

29.1MiB live, 426.0MiB allocated

Rules

6 266×	`lower-fma.f32`
6 260×	`lower-fma.f64`
5 236×	`lower-/.f32`
5 232×	`lower-/.f64`
4 124×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	150
0	36	158
1	162	104
2	1307	96
0	8441	90

Stop Event

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

Counts

9 → 694

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 x x) x) y) (/.f64 x (.f64 (*.f64 y y) y)))
(.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 y y) y)) (/.f64 x y))
(.f64 (/.f64 (.f64 (/.f64 x (.f64 y y)) x) y) (/.f64 (.f64 x x) y))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 y y) y)) (/.f64 (*.f64 x x) y))
(.f64 (/.f64 x (.f64 (.f64 y y) y)) (/.f64 (.f64 (*.f64 x x) x) y))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) y)))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) x) (neg.f64 y)))
(.f64 (/.f64 (.f64 x x) y) (/.f64 (.f64 (/.f64 x (.f64 y y)) x) y))
(.f64 (/.f64 (.f64 x x) y) (/.f64 (.f64 x x) (.f64 (*.f64 y y) y)))
(.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 (/.f64 x y) (.f64 (.f64 (/.f64 x (*.f64 y y)) x) x)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (neg.f64 x) (.f64 (.f64 (/.f64 x (.f64 y y)) x) x)) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 (.f64 x (.f64 (.f64 (/.f64 x (.f64 y y)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) y) y)) x) x)
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) x) (/.f64 y x)))
(.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) y) y)) (.f64 x x))
(.f64 (/.f64 x y) (/.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) x) y))
(.f64 (/.f64 x y) (/.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 y y) y)))
(.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) x) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) y)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 (.f64 (/.f64 x (*.f64 y y)) x) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) y) y)))
(.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 y y)))
(.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) y) y)))
(.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 (/.f64 x (*.f64 y y)) x))
(.f64 (/.f64 x (.f64 y y)) (.f64 (/.f64 x (.f64 y y)) (*.f64 x x)))
(.f64 (/.f64 x (.f64 y y)) (.f64 (.f64 (/.f64 x (*.f64 y y)) x) x))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (.f64 (/.f64 x (.f64 y y)) x) x)))
(.f64 x (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) y) y)))
(pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 x (.f64 y y)) x) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (.f64 y y)) x))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 (.f64 (/.f64 x (.f64 y y)) x) x))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (.f64 (/.f64 x (.f64 y y)) x) x))) (*.f64 y y))
(/.f64 (neg.f64 (.f64 x (.f64 (.f64 (/.f64 x (.f64 y y)) x) x))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 x x))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) x)) (neg.f64 (/.f64 (.f64 y y) x)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (neg.f64 (.f64 (.f64 (.f64 y y) y) y)))
(/.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (.f64 y y)) x)) (*.f64 y y))
(/.f64 (.f64 (/.f64 x y) (.f64 (.f64 (/.f64 x (.f64 y y)) x) x)) y)
(/.f64 (.f64 (neg.f64 x) (.f64 (.f64 (/.f64 x (.f64 y y)) x) x)) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 x (.f64 (.f64 (/.f64 x (.f64 y y)) x) x)) (*.f64 y y))
(/.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 x x)) (*.f64 y y))
(/.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) x) (/.f64 (.f64 y y) x))
(/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y))
(/.f64 (.f64 x x) (.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 (/.f64 x (*.f64 y y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 x y) (.f64 (.f64 (/.f64 x (.f64 y y)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 x) (.f64 (.f64 (/.f64 x (*.f64 y y)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) x) (.f64 (.f64 (/.f64 x (.f64 y y)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 x (.f64 (.f64 (/.f64 x (*.f64 y y)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 (/.f64 x (.f64 y y)) x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (.f64 (/.f64 x (.f64 y y)) x) (/.f64 (.f64 y y) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (*.f64 y y)) x)) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y))) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x (*.f64 y y)) x))))))
(.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 x (.f64 y y)) x) #s(literal -2 binary64) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y))) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal -2 binary64)))))))
(.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y))) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 y y)) x) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))))
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(fma.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 x (.f64 y y)) x) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal -2 binary64) #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x (*.f64 y y)) x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x (*.f64 y y)) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 y y)) x) #s(literal -1 binary64))
(fma.f64 (.f64 (/.f64 x (.f64 y y)) x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 x (.f64 #s(literal 2 binary64) (/.f64 x (.f64 y y))) #s(literal -1 binary64))
(fma.f64 x (.f64 (/.f64 x (.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)))) (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 y y)) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 y y)) x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 y y)) x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 (/.f64 x (.f64 y y)) x) #s(literal -2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x (*.f64 y y)) x))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 y y)) x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 y y)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 y y)) x) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y))) (fma.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal -2 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 y y)) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal -2 binary64) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x (*.f64 y y)) x))))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x (*.f64 y y)) x)) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 x (.f64 y y)) x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal -2 binary64) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x (*.f64 y y)) x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x (*.f64 y y)) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 y y) x))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (.f64 y y)))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 y))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) y)) (/.f64 (neg.f64 x) (.f64 y y)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (*.f64 y y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (.f64 y y)))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x (.f64 y y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 x y)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(.f64 (.f64 x (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (*.f64 y y)) x))
(.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1 binary64))
(.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 x (.f64 y y)) x)
(.f64 x (pow.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64)))
(.f64 x (/.f64 x (.f64 y y)))
(pow.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 x (.f64 y y)) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (.f64 x x))) (.f64 y y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (neg.f64 x) x)) (.f64 y y))
(/.f64 (neg.f64 (*.f64 x (/.f64 x y))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x (neg.f64 x))) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 y) y))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) y))
(/.f64 (*.f64 x (/.f64 x y)) y)
(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 y) y))
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) y) (.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 x x)))
(/.f64 x (/.f64 (*.f64 y y) x))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (*.f64 y y)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 (/.f64 x (.f64 y y)) x)))

eval274.0ms (3.1%)

Memory: -23.6MiB live, 495.9MiB allocated
Compiler: Compiled 53 973 to 2 219 computations (95.9% saved)

prune169.0ms (1.9%)

Memory

-15.7MiB live, 359.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	1 199	0	1 199
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	1 199	7	1 206

Accuracy

100.0%

Counts

1 206 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	37.9%	#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)))
✓	61.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	28.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	60.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 x (.f64 y y)) x) (.f64 (/.f64 x (.f64 y y)) x)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 x (*.f64 y y)) x) #s(literal 2 binary64) #s(literal 1 binary64))))
✓	36.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	64.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 260 to 96 computations (63.1% saved)

regimes13.0ms (0.1%)

Memory

36.9MiB live, 36.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.7%	2	`x`
95.4%	3	`y`
91.3%	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)

regimes9.0ms (0.1%)

Memory

-20.4MiB live, 19.2MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.3%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
85.3%	2	`y`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes3.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
91.0%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 y (*.f64 x x)) #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
90.7%	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

4.6MiB live, 4.6MiB allocated

Counts

2 → 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))

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:

1.0ms

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

Results

Accuracy	Segments	Branch
90.4%	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)

regimes5.0ms (0.1%)

Memory

-25.7MiB live, 13.1MiB 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:

2.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
64.7%	1	`x`
64.7%	1	`y`
64.7%	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)

bsearch15.0ms (0.2%)

Memory

-2.1MiB live, 36.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	2.526014762191409e-40	9.2530720012339e-39
9.0ms	2.8253718283262427e-169	2.6901562182636658e-168

Samples

8.0ms

128×

valid

Compiler

Compiled 250 to 148 computations (40.8% saved)

Precisions

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

ival-mult: 2.0ms (39.9% of total)

ival-sub: 1.0ms (19.9% of total)

ival-div: 1.0ms (19.9% of total)

ival-add: 1.0ms (19.9% of total)

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

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

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999614914774	0.9996993144055152

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999614914774	0.9996993144055152

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999614914774	0.9996993144055152

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch32.0ms (0.4%)

Memory

-6.1MiB live, 72.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0	NaN
13.0ms	-0.9999999614914774	0.9996993144055152

Samples

9.0ms	416×	0	valid
2.0ms	101×	0	invalid

Compiler

Compiled 280 to 222 computations (20.7% saved)

Precisions

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

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

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

simplify9.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
8×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	484
1	71	484
2	74	484
3	76	484
4	77	484

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 2761917562647189/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 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 6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(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 x (.f64 y y)) (.f64 x #s(literal 2 binary64)) #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 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal 2 binary64)) #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 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 +inf.0 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 2761917562647189/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 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 6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 2761917562647189/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 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 6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(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 x (.f64 y y)) (.f64 x #s(literal 2 binary64)) #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 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y) (/.f64 x 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))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 2 binary64) 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 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal 2 binary64)) #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 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #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))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 2 binary64) 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 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #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))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 +inf.0 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 -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 +inf.0 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))

soundness780.0ms (8.8%)

Memory

-1.2MiB live, 638.8MiB allocated

Rules

11 670×	`lower-fma.f64`
11 670×	`lower-fma.f32`
9 516×	`lower-fma.f64`
9 516×	`lower-fma.f32`
6 168×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	2211
1	440	2160
2	1417	2058
3	5093	2052
0	8108	1941
0	9	38
0	16	38
1	66	38
2	551	38
0	8160	36
0	29	158
0	41	154
1	160	154
2	1172	154
0	8522	154
0	178	952
1	568	849
2	1892	797
3	7791	797
0	8784	755

Stop Event

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

Compiler

Compiled 440 to 162 computations (63.2% saved)

preprocess60.0ms (0.7%)

Memory: -11.8MiB live, 181.8MiB allocated
Remove: (abs x)
Compiler: Compiled 866 to 282 computations (67.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze8.0ms (0.1%)

sample3.4s (39%)

explain111.0ms (1.3%)

preprocess383.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify324.0ms (3.7%)

localize25.0ms (0.3%)

series11.0ms (0.1%)

simplify139.0ms (1.6%)

rewrite192.0ms (2.2%)

eval97.0ms (1.1%)

prune133.0ms (1.5%)

simplify120.0ms (1.4%)

localize52.0ms (0.6%)

series24.0ms (0.3%)

simplify166.0ms (1.9%)

rewrite160.0ms (1.8%)

eval257.0ms (2.9%)

prune190.0ms (2.2%)

simplify132.0ms (1.5%)

localize121.0ms (1.4%)

series29.0ms (0.3%)

simplify136.0ms (1.5%)

rewrite182.0ms (2.1%)

eval105.0ms (1.2%)

prune144.0ms (1.6%)

simplify206.0ms (2.3%)

localize60.0ms (0.7%)

series24.0ms (0.3%)

simplify205.0ms (2.3%)

rewrite285.0ms (3.2%)

eval274.0ms (3.1%)

prune169.0ms (1.9%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch32.0ms (0.4%)

simplify9.0ms (0.1%)

soundness780.0ms (8.8%)

preprocess60.0ms (0.7%)

end0.0ms (0%)

Profiling