Metrics for Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze37.0ms (0.5%)

Memory

-36.0MiB live, 2.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample1.1s (15.9%)

Memory

-39.0MiB live, 1 235.4MiB allocated

Samples

609.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 206.0ms (56.1% of total)

ival-div: 67.0ms (18.2% of total)

ival-sub: 44.0ms (12% of total)

ival-add: 35.0ms (9.5% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain177.0ms (2.6%)

Memory

-5.5MiB live, 274.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
15	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	o/o	115	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	115
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	69
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	115
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	69
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	u/u	18	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	64
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	18
↳	`(*.f64 x x)`	underflow	71
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	64
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	18
↳	`(*.f64 x x)`	underflow	71
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	15	0
↳	`(*.f64 x x)`	overflow	69
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	118
2	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms

512×

valid

Compiler

Compiled 127 to 31 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 52.0ms (85.1% of total)

ival-div: 3.0ms (4.9% of total)

ival-sub: 2.0ms (3.3% of total)

ival-add: 2.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess201.0ms (2.9%)

Memory

-16.6MiB live, 101.9MiB allocated

Algorithm

1×	egg-herbie

Rules

492×	`times-frac`
440×	`lower-fma.f64`
440×	`lower-fma.f32`
392×	`distribute-lft-in`
381×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
1	89	97
2	240	95
3	620	95
4	1743	95
5	2721	95
6	2962	95
7	2981	95
8	2996	95
9	3001	95
10	3001	95
11	3301	95
12	3437	95
13	3437	95
14	3581	95
15	4417	95
16	4417	95
0	9	19
0	15	19
1	27	19
2	56	19
3	112	19
4	215	19
5	344	19
6	511	19
7	724	19
8	1191	19
9	2211	19
10	2260	19
11	2298	19
12	2326	19
13	2326	19
0	2326	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Outputs

(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))

(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 21 to 9 computations (57.1% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB 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
▶	48.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Compiler

Compiled 21 to 9 computations (57.1% saved)

simplify57.0ms (0.8%)

Memory

21.3MiB live, 58.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

440×	`lower-fma.f64`
440×	`lower-fma.f32`
369×	`times-frac`
296×	`lower-*.f32`
293×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
0	15	51
1	27	51
2	56	51
3	112	51
4	215	51
5	344	51
6	511	51
7	724	51
8	1191	51
9	2211	51
10	2260	51
11	2298	51
12	2326	51
13	2326	51
0	2326	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.7%)

Memory

-26.8MiB live, 65.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	3.2460834291510294	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	32.54533490224796	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Samples

39.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 15.0ms (51% of total)

ival-add: 11.0ms (37.4% of total)

ival-div: 2.0ms (6.8% of total)

ival-sub: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#s(alt (* -4 (pow y 2)) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (* 4 (pow y 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (* 4 (pow y 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (* 4 (pow y 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (pow y 2)) (taylor inf y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) (taylor inf y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) (taylor inf y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) (taylor inf y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (pow y 2)) (taylor -inf y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) (taylor -inf y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) (taylor -inf y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) (taylor -inf y) (#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) (taylor inf y) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf y) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- (* x x) (* (* y 4) y))
1.0ms	x	@	inf	(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
1.0ms	x	@	inf	(* x x)
1.0ms	y	@	inf	(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
0.0ms	x	@	inf	(- (* x x) (* (* y 4) y))

simplify222.0ms (3.3%)

Memory

-10.9MiB live, 410.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 411×	`lower-fma.f64`
9 411×	`lower-fma.f32`
3 634×	`lower-*.f64`
3 634×	`lower-*.f32`
1 375×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	984
1	321	930
2	960	844
3	4057	836
0	8241	766

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(- (pow x 2) (* 4 (pow y 2)))
(- (pow x 2) (* 4 (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)

Outputs
(* -4 (pow y 2))
(.f64 (.f64 y y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* -4 (pow y 2))
(.f64 (.f64 y y) #s(literal -4 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* -4 (pow y 2))
(.f64 (.f64 y y) #s(literal -4 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 y #s(literal -4 binary64)) y (.f64 x x))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 y y) y) y))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) (fma.f64 (.f64 #s(literal -128 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 y y) y) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) (fma.f64 (.f64 #s(literal -128 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 y y) y) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)

rewrite269.0ms (3.9%)

Memory

1.6MiB live, 379.6MiB allocated

Rules

2 366×	`lower-fma.f64`
2 366×	`lower-fma.f32`
2 261×	`lower-*.f32`
2 258×	`lower-*.f64`
1 465×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	15	43
1	54	43
2	397	43
3	6323	43
0	8488	39

Stop Event

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

Counts

5 → 604

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) #s(literal 4 binary64)) (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 (*.f64 x x) x) x)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))))) (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64) (.f64 (neg.f64 x) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))))
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(+.f64 (.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))))))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))))) (.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))))))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)))))) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) (.f64 (.f64 (.f64 x x) x) x)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))) (.f64 (/.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) (*.f64 #s(literal 4 binary64) y))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal -4 binary64) (.f64 y y))))
(+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))))))
(+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (*.f64 x x)))))
(*.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 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval84.0ms (1.2%)

Memory: 15.0MiB live, 163.7MiB allocated
Compiler: Compiled 37 362 to 1 556 computations (95.8% saved)

prune128.0ms (1.9%)

Memory

-18.1MiB live, 178.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	729	6	735
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	730	6	736

Accuracy

98.1%

Counts

736 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
▶	23.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
▶	48.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
▶	47.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
▶	52.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	46.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 138 to 78 computations (43.5% saved)

simplify362.0ms (5.3%)

Memory

14.7MiB live, 88.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
cost-diff	128	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
cost-diff	0	(/.f64 #s(literal -8 binary64) (*.f64 x x))
cost-diff	0	(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
cost-diff	0	(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

Rules

1 680×	`lower-fma.f32`
1 678×	`lower-fma.f64`
1 320×	`lower-*.f32`
1 314×	`lower-*.f64`
605×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	217
0	44	217
1	78	217
2	153	217
3	290	217
4	502	217
5	731	217
6	1002	217
7	1468	217
8	3023	217
9	5034	217
10	5664	217
11	5811	217
12	5892	217
13	5918	217
14	5922	217
15	6288	217
16	6430	217
17	6430	217
18	6622	217
19	6951	217
20	7285	217
21	7397	217
22	7433	217
23	7465	217
24	7465	217
25	7465	217
0	7465	205

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x (*.f64 y y))
(*.f64 y y)
y
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
(/.f64 #s(literal -8 binary64) (*.f64 x x))
#s(literal -8 binary64)
(*.f64 x x)
x
y
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))

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

localize137.0ms (2%)

Memory

-6.4MiB live, 133.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	3.2460834291510294	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	26.924981160675316	#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
accuracy	32.54533490224796	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
accuracy	0.24129324469983354	(/.f64 #s(literal -8 binary64) (*.f64 x x))
accuracy	1.4228712020322207	(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
accuracy	8.576253655088177	(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
accuracy	29.348479524245636	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	2.634056835270909	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
accuracy	6.256510911865127	(/.f64 x (*.f64 y y))
accuracy	32.83936340081554	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
accuracy	34.178618079267956	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
accuracy	30.494016755178166	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

Samples

82.0ms

256×

valid

Compiler

Compiled 187 to 24 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 18.0ms (63.9% of total)

ival-div: 5.0ms (17.8% of total)

ival-add: 3.0ms (10.7% of total)

ival-sub: 1.0ms (3.6% of total)

exact: 1.0ms (3.6% of total)

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

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

series25.0ms (0.4%)

Memory

-3.8MiB live, 32.3MiB allocated

Counts

15 → 312

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) (patch #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (patch #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))) (patch #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))) (patch #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) (patch (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -8 binary64) (.f64 x x)) (patch (/.f64 #s(literal -8 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 4 binary64)) y) (patch (.f64 (.f64 y #s(literal 4 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())

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

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* (/ -8 (* x x)) y)
2.0ms	x	@	-inf	(/ x (* y y))
1.0ms	y	@	inf	(* (/ -8 (* x x)) y)
1.0ms	x	@	inf	(+ (* (* 1/2 x) (/ x (* y y))) -1)
1.0ms	y	@	inf	(+ (* (* (/ -8 (* x x)) y) y) 1)

simplify235.0ms (3.4%)

Memory

13.8MiB live, 366.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 803×	`lower-fma.f64`
9 803×	`lower-fma.f32`
3 541×	`lower-*.f64`
3 541×	`lower-*.f32`
1 480×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	4288
1	353	3738
2	1053	3328
3	4365	3248
0	8444	3006

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
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1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
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(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
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1
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-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
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(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
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(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
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(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(/ -8 (pow x 2))
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(- (pow x 2) (* 4 (pow y 2)))
(- (pow x 2) (* 4 (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))

Outputs
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 y y) y) y)) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 y y) y) y))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
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(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 y y) y) y))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 y y) y) y)) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 y y) y) y)) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 y y) y) y)) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 y y) y) y)) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))

rewrite268.0ms (3.9%)

Memory

4.9MiB live, 400.9MiB allocated

Rules

5 343×	`lower-fma.f32`
5 341×	`lower-fma.f64`
3 348×	`lower-*.f32`
3 342×	`lower-*.f64`
1 762×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	195
0	44	195
1	150	195
2	995	195
0	8754	183

Stop Event

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

Counts

15 → 514

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 x (*.f64 y y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
(/.f64 #s(literal -8 binary64) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) y)
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x (.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 y y))) x (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)))))))
(.f64 (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 x (.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 y y))) x (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y))))))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (/.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (.f64 y y)) (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 y y))) x (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x (.f64 y y)) (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 y y))) x (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (*.f64 y y) y) y)))))))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 y y)) (.f64 #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))) (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (/.f64 x (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))))) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
(-.f64 (/.f64 (.f64 x x) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x x) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x))) (.f64 #s(literal -4 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x))) (.f64 #s(literal -4 binary64) (*.f64 y y))))
(+.f64 (/.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (/.f64 (.f64 x x) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))))
(+.f64 (/.f64 (.f64 x x) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 x x) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(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)))
(.f64 (neg.f64 (.f64 #s(literal -4 binary64) y)) y)
(.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 4 binary64) y))
(.f64 (neg.f64 y) (.f64 #s(literal -4 binary64) y))
(.f64 (.f64 #s(literal -4 binary64) y) (neg.f64 y))
(.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 (neg.f64 y)))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(.f64 (.f64 y y) #s(literal 4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (*.f64 y y)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 4 binary64) y) y))
(.f64 #s(literal 4 binary64) (.f64 y y))
(.f64 y (neg.f64 (.f64 #s(literal -4 binary64) y)))
(.f64 y (.f64 #s(literal 4 binary64) y))
(neg.f64 (.f64 #s(literal -4 binary64) (.f64 y y)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -4 binary64) (.f64 y y)))
(.f64 #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
(.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
(/.f64 (neg.f64 #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))))
(neg.f64 (neg.f64 #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))))

eval150.0ms (2.2%)

Memory: 1.8MiB live, 189.8MiB allocated
Compiler: Compiled 21 221 to 1 420 computations (93.3% saved)

prune193.0ms (2.8%)

Memory

11.1MiB live, 172.2MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	876	4	880
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	877	9	886

Accuracy

98.9%

Counts

886 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.9%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
▶	48.0%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
▶	23.9%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
▶	54.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))
▶	48.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
✓	48.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
✓	47.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
✓	52.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	46.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 188 to 104 computations (44.7% saved)

simplify405.0ms (5.9%)

Memory

-15.4MiB live, 83.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
cost-diff	0	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
cost-diff	320	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
cost-diff	384	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
cost-diff	0	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
cost-diff	0	(*.f64 (/.f64 #s(literal -8 binary64) x) y)
cost-diff	0	(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))
cost-diff	384	(/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x)

Rules

1 680×	`lower-fma.f32`
1 675×	`lower-fma.f64`
1 320×	`lower-*.f32`
1 315×	`lower-*.f64`
639×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	279
0	57	270
1	103	268
2	173	268
3	339	268
4	706	268
5	1170	268
6	1682	268
7	2412	268
8	3659	268
9	5266	268
10	5699	268
11	5790	268
12	5816	268
13	5823	268
14	6240	268
15	6524	268
16	6534	268
17	6534	268
18	6534	268
19	6614	268
20	6814	268
21	6940	268
22	6952	268
23	6952	268
24	6952	268
25	6952	268
0	6952	268

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x)
(*.f64 (/.f64 #s(literal -8 binary64) x) y)
(/.f64 #s(literal -8 binary64) x)
#s(literal -8 binary64)
x
y
#s(literal 1 binary64)
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
(*.f64 y y)
y
#s(literal -4 binary64)
(*.f64 x x)
x
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(/.f64 x y)
#s(literal -1 binary64)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
#s(literal 1 binary64)
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
#s(literal 4 binary64)

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

localize179.0ms (2.6%)

Memory

-4.5MiB live, 153.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	3.2460834291510294	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	32.54533490224796	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
accuracy	0.2357657554524436	(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
accuracy	3.2460834291510294	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	26.924981160675333	#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
accuracy	32.695393643823124	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.140625	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
accuracy	32.83936340081554	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	3.2460834291510294	(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
accuracy	26.924981160675333	#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
accuracy	32.54533490224796	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
accuracy	0.1328125	(/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x)
accuracy	0.18359375	(*.f64 (/.f64 #s(literal -8 binary64) x) y)
accuracy	1.4228712020322207	(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))
accuracy	29.348479524245636	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))

Samples

104.0ms

256×

valid

Compiler

Compiled 249 to 37 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 20.0ms (34.8% of total)

ival-add: 18.0ms (31.3% of total)

ival-mult: 17.0ms (29.6% of total)

ival-sub: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

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

series44.0ms (0.6%)

Memory

12.3MiB live, 49.2MiB allocated

Counts

18 → 396

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -8 binary64) x) y) (patch (.f64 (/.f64 #s(literal -8 binary64) x) y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (patch (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) (patch (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())

Outputs
#s(alt (* -8 (/ y (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y (pow x 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) (patch (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#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>) () ())) ())
#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 (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ 1/4 (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/4 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/4 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))) #<representation binary64>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(/ x y)
3.0ms	y	@	0	(/ (* 1/2 x) y)
1.0ms	y	@	0	(/ 1 (+ (* x x) (* (* y 4) y)))
1.0ms	x	@	inf	(* (/ -8 x) y)
1.0ms	y	@	inf	(* (/ -8 x) y)

simplify314.0ms (4.6%)

Memory

10.7MiB live, 346.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 129×	`lower-fma.f64`
8 129×	`lower-fma.f32`
3 297×	`lower-*.f64`
3 297×	`lower-*.f32`
899×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	4962
1	561	4412
2	1611	4082
3	5952	4042
0	8289	3756

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
(* -8 (/ y (pow x 2)))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1/4 (pow y 2))
(+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(/ 1 (pow x 2))
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(/ 1/4 (pow y 2))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/ 1/4 (pow y 2))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2))

Outputs
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(* -8 (/ y (pow x 2)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) (fma.f64 (.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) (fma.f64 (.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
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(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) (fma.f64 (.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) (fma.f64 (.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1 binary64)))
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 1/4 (pow y 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 y y))
(+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(fma.f64 (.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x)) x (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)) (.f64 y y)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 (.f64 #s(literal -1/256 binary64) x) (/.f64 x (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) x) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) y) (.f64 x x)) y (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 16 binary64) #s(literal 1 binary64))) (*.f64 x x))
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) y) (.f64 x x)) y (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 16 binary64) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) y) (.f64 x x)) y (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 16 binary64) #s(literal 1 binary64))) (*.f64 x x))
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) y) (.f64 x x)) y (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 16 binary64) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (*.f64 x x))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(fma.f64 (.f64 (.f64 y y) (/.f64 (.f64 #s(literal 16 binary64) y) (pow.f64 x #s(literal 6 binary64)))) y (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (.f64 x x)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(fma.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y)) (.f64 y y) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (*.f64 x x)))
(/ 1/4 (pow y 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 y y))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64))) (*.f64 y y))
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)))) (*.f64 y y))
(/ 1/4 (pow y 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 y y))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64))) (*.f64 y y))
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)))) (*.f64 y y))

rewrite268.0ms (3.9%)

Memory

16.3MiB live, 538.2MiB allocated

Rules

4 692×	`lower-fma.f32`
4 687×	`lower-fma.f64`
2 071×	`lower-*.f32`
2 066×	`lower-*.f64`
2 046×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	216
0	57	208
1	241	206
2	1608	204
0	8534	202

Stop Event

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

Counts

18 → 775

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -8 binary64) x) y)
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 x x)
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))

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

eval244.0ms (3.6%)

Memory: -33.5MiB live, 454.1MiB allocated
Compiler: Compiled 42 787 to 1 845 computations (95.7% saved)

prune237.0ms (3.5%)

Memory

-2.7MiB live, 443.9MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 451	1	1 452
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	1 451	10	1 461

Accuracy

98.9%

Counts

1 461 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.9%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
✓	48.0%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
✓	23.9%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
▶	22.6%	(.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
✓	54.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))
✓	48.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
✓	48.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
✓	47.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
✓	52.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	46.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 124 to 69 computations (44.4% saved)

simplify5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* -4 (* y y)) (* x x)) (*.f64 x x))
cost-diff	320	(.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))

Rules

22×	`lower-*.f32`
20×	`lower-*.f64`
10×	`lower-fma.f64`
10×	`lower-fma.f32`
7×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	75
0	21	75
1	34	73
2	42	73
3	49	73
4	49	73
0	49	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.7%)

Memory

-4.4MiB live, 40.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2357657554524436	(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
accuracy	26.924981160675316	#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
accuracy	28.613661349565927	#s(approx (+ (* -4 (* y y)) (* x x)) (*.f64 x x))
accuracy	32.695393643823124	(.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))

Samples

40.0ms

256×

valid

Compiler

Compiled 57 to 16 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (66.2% of total)

ival-div: 2.0ms (14.7% of total)

ival-add: 2.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) (taylor inf y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) (taylor -inf y) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (.f64 x x)))) (patch (.f64 #s(approx (+ (* -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor -inf y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (+ (* x x) (* (* y 4) y)) (.f64 x x)) (patch #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)) #<representation binary64>) () ())) ())

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* (+ (* -4 (* y y)) (* x x)) (/ 1 (+ (* x x) (* (* y 4) y))))
0.0ms	y	@	inf	(* (+ (* -4 (* y y)) (* x x)) (/ 1 (+ (* x x) (* (* y 4) y))))
0.0ms	x	@	inf	(+ (* -4 (* y y)) (* x x))
0.0ms	y	@	-inf	(* (+ (* -4 (* y y)) (* x x)) (/ 1 (+ (* x x) (* (* y 4) y))))
0.0ms	x	@	inf	(* (+ (* -4 (* y y)) (* x x)) (/ 1 (+ (* x x) (* (* y 4) y))))

simplify193.0ms (2.8%)

Memory

16.8MiB live, 207.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 440×	`lower-fma.f64`
7 440×	`lower-fma.f32`
3 320×	`lower-*.f64`
3 320×	`lower-*.f32`
875×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1434
1	521	1434
2	1509	1288
3	5622	1280
0	8112	1176

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/4 (pow y 2))
(+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(/ 1 (pow x 2))
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(/ 1/4 (pow y 2))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/ 1/4 (pow y 2))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(+ (* 4 (pow y 2)) (pow x 2))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* 4 (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (.f64 (.f64 (.f64 x x) x) x))) y) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (/.f64 x (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 y y) y) y))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) (fma.f64 (.f64 #s(literal -128 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 y y) y) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 32 binary64) y) (.f64 (.f64 (.f64 x x) x) x)) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) (fma.f64 (.f64 #s(literal -128 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 y y) y) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* -4 (pow y 2))
(.f64 #s(literal -4 binary64) (.f64 y y))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* -4 (pow y 2))
(.f64 #s(literal -4 binary64) (.f64 y y))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* -4 (pow y 2))
(.f64 #s(literal -4 binary64) (.f64 y y))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1/4 (pow y 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 y y))
(+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)) (.f64 y y)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/256 binary64) x) (/.f64 x (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 (.f64 (.f64 x x) x) x) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))) (*.f64 x x))
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) y) (.f64 x x)) y (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 16 binary64) #s(literal 1 binary64)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))) (*.f64 x x))
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) y) (.f64 x x)) y (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 16 binary64) #s(literal 1 binary64)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (*.f64 x x))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(fma.f64 (.f64 (.f64 y y) (.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))) y)) y (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (.f64 x x)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(fma.f64 (fma.f64 (.f64 #s(literal -64 binary64) y) (/.f64 y (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 (.f64 y y) y) y) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (*.f64 x x)))
(/ 1/4 (pow y 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 y y))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1/64 binary64) (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64))) (*.f64 y y))
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1/64 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/256 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/4 binary64)))) (*.f64 y y))
(/ 1/4 (pow y 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 y y))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1/64 binary64) (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) #s(literal 1/4 binary64))) (*.f64 y y))
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 x (.f64 y y)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1/64 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/256 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/4 binary64)))) (*.f64 y y))
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* 4 (pow y 2))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))

rewrite230.0ms (3.4%)

Memory

-8.9MiB live, 315.9MiB allocated

Rules

3 598×	`lower-fma.f64`
3 598×	`lower-fma.f32`
2 268×	`lower-*.f32`
2 266×	`lower-*.f64`
876×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
0	21	71
1	69	71
2	407	71
3	4064	71
0	8246	66

Stop Event

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

Counts

5 → 76

Calls

Call 1

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

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

eval18.0ms (0.3%)

Memory: 2.5MiB live, 40.5MiB allocated
Compiler: Compiled 3 223 to 311 computations (90.4% saved)

prune27.0ms (0.4%)

Memory

-27.9MiB live, 50.9MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	202	10	212

Accuracy

98.9%

Counts

212 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.9%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
✓	48.0%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
✓	23.9%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
✓	22.6%	(.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
✓	54.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))
✓	48.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
✓	48.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
✓	47.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
✓	52.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	46.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 263 to 106 computations (59.7% saved)

regimes22.0ms (0.3%)

Memory

5.6MiB live, 43.5MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
(.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Outputs

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

(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))

Calls

5 calls:

6.0ms	x
4.0ms	y
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
4.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
81.9%	3	`x`
81.1%	3	`y`
78.7%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
81.9%	3	`(*.f64 x x)`
81.1%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes19.0ms (0.3%)

Memory

0.8MiB live, 38.8MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
(.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))

Outputs

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

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))

Calls

5 calls:

5.0ms	y
4.0ms	x
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
3.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
78.4%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
77.4%	2	`y`
77.4%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
77.5%	2	`x`
77.5%	2	`(*.f64 x x)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes14.0ms (0.2%)

Memory

30.4MiB live, 30.4MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
(.f64 #s(approx (+ ( -4 (* y y)) (* x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))

Outputs

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

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

Calls

5 calls:

3.0ms	y
3.0ms	x
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
76.8%	2	`y`
76.8%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
77.1%	2	`x`
77.1%	2	`(*.f64 x x)`
77.3%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes7.0ms (0.1%)

Memory

-25.8MiB live, 12.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))

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

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

Calls

3 calls:

3.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
75.9%	2	`x`
75.9%	2	`(*.f64 x x)`
77.0%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`

Compiler

Compiled 29 to 14 computations (51.7% saved)

regimes6.0ms (0.1%)

Memory

27.3MiB live, 27.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
46.6%	1	`(*.f64 x x)`
46.6%	1	`x`
46.6%	1	`y`
46.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
46.6%	1	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`

Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch6.0ms (0.1%)

Memory

-37.6MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
6.0ms	1.4232731832150763e+268	1.0257956658328921e+279
0.0ms	1.8128533e-317	1.4732793819876e-311

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999980903411441	0.5620700430323378

Compiler

Compiled 24 to 14 computations (41.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999980903411441	0.5620700430323378

Compiler

Compiled 24 to 14 computations (41.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999980903411441	0.5620700430323378

Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify9.0ms (0.1%)

Memory

34.8MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	329
1	63	329
2	78	329
3	86	329
4	92	329
5	94	329

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (.f64 x x) #s(literal 4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -8 binary64) x) y) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 y y)) #s(literal -1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

soundness759.0ms (11.1%)

Memory

-22.4MiB live, 533.9MiB allocated

Rules

9 411×	`lower-fma.f64`
9 411×	`lower-fma.f32`
5 343×	`lower-fma.f32`
5 341×	`lower-fma.f64`
3 634×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	15	43
1	54	43
2	397	43
3	6323	43
0	8488	39
0	30	195
0	44	195
1	150	195
2	995	195
0	8754	183
0	116	984
1	321	930
2	960	844
3	4057	836
0	8241	766

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

Compiler

Compiled 307 to 118 computations (61.6% saved)

preprocess69.0ms (1%)

Memory

21.5MiB live, 101.5MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 740 to 250 computations (66.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze37.0ms (0.5%)

sample1.1s (15.9%)

explain177.0ms (2.6%)

preprocess201.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify57.0ms (0.8%)

localize48.0ms (0.7%)

series9.0ms (0.1%)

simplify222.0ms (3.3%)

rewrite269.0ms (3.9%)

eval84.0ms (1.2%)

prune128.0ms (1.9%)

simplify362.0ms (5.3%)

localize137.0ms (2%)

series25.0ms (0.4%)

simplify235.0ms (3.4%)

rewrite268.0ms (3.9%)

eval150.0ms (2.2%)

prune193.0ms (2.8%)

simplify405.0ms (5.9%)

localize179.0ms (2.6%)

series44.0ms (0.6%)

simplify314.0ms (4.6%)

rewrite268.0ms (3.9%)

eval244.0ms (3.6%)

prune237.0ms (3.5%)

simplify5.0ms (0.1%)

localize50.0ms (0.7%)

series5.0ms (0.1%)

simplify193.0ms (2.8%)

rewrite230.0ms (3.4%)

eval18.0ms (0.3%)

prune27.0ms (0.4%)

regimes22.0ms (0.3%)

regimes19.0ms (0.3%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness759.0ms (11.1%)

preprocess69.0ms (1%)

end0.0ms (0%)

Profiling