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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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)

sample902.0ms (13.7%)

Memory

38.6MiB live, 1 172.4MiB allocated

Samples

592.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 372.0ms

ival-mult: 193.0ms (51.9% of total)

ival-div: 73.0ms (19.6% of total)

ival-sub: 56.0ms (15.1% of total)

ival-add: 35.0ms (9.4% of total)

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

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain140.0ms (2.1%)

Memory

5.4MiB live, 278.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
109	-	-	`(/.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)))`
16	-	-	`(-.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	97	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	97
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	52
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	97
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	52
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	16	0
↳	`(*.f64 x x)`	overflow	52
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
`/.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	12	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	59
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	12
↳	`(*.f64 x x)`	underflow	62
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	59
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	12
↳	`(*.f64 x x)`	underflow	62

Confusion

	Predicted +	Predicted -
+	109	0
-	0	147

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	109	0	0
-	0	0	147

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	147
1	93
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 127 to 31 computations (75.6% saved)

Precisions

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

ival-mult: 12.0ms (51.2% of total)

ival-add: 4.0ms (17.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

preprocess221.0ms (3.4%)

Memory

-20.9MiB live, 78.3MiB allocated

Algorithm

1×	egg-herbie

Rules

984×	`times-frac`
880×	`lower-fma.f64`
880×	`lower-fma.f32`
784×	`distribute-lft-in`
762×	`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 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 21 to 9 computations (57.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.4%	(/.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)

simplify65.0ms (1%)

Memory

-3.2MiB live, 71.3MiB 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

880×	`lower-fma.f64`
880×	`lower-fma.f32`
738×	`times-frac`
592×	`lower-*.f32`
586×	`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 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(.f64 #s(literal 4 binary64) (.f64 y y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x))

localize26.0ms (0.4%)

Memory

29.7MiB live, 66.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	3.80856897996247	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	26.7939730065769	(/.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

16.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (57.5% of total)

ival-sub: 1.0ms (11.5% of total)

ival-div: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.3%)

Memory

-1.8MiB live, 37.9MiB 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>) () ())) ())
#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 (-.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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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 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 (* -8 (/ (pow y 2) (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) (- (* 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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 (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
9.0ms	x	@	0	(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
5.0ms	y	@	inf	(+ (* 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	x	@	0	(- (* x x) (* (* y 4) y))

simplify449.0ms (6.8%)

Memory

-94.4MiB live, 516.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 822×	`lower-fma.f64`
18 822×	`lower-fma.f32`
7 268×	`lower-*.f64`
7 268×	`lower-*.f32`
2 750×	`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 #s(literal -4 binary64) (.f64 y y))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (.f64 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 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (.f64 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 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
-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 (.f64 x x) (fma.f64 x (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #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 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1/2 binary64) (*.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 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #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 (.f64 y y) (fma.f64 y (/.f64 (.f64 y #s(literal 32 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -8 binary64) (.f64 x x))) #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 (.f64 y y) (fma.f64 y (/.f64 (.f64 y #s(literal 32 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -8 binary64) (.f64 x x))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 (.f64 (*.f64 y y) #s(literal -128 binary64)) (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 y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #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 (.f64 y y) (fma.f64 y (/.f64 (.f64 y #s(literal 32 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -8 binary64) (.f64 x x))) #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 (.f64 y y) (fma.f64 y (/.f64 (.f64 y #s(literal 32 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -8 binary64) (.f64 x x))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 (.f64 (*.f64 y y) #s(literal -128 binary64)) (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 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 y y) (fma.f64 y (/.f64 (.f64 y #s(literal 32 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -8 binary64) (.f64 x x))) #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 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) #s(literal -128 binary64)) (/.f64 #s(literal 32 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -8 binary64) (*.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 (.f64 x x) (fma.f64 x (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #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) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.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 (.f64 x x) (fma.f64 x (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #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) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #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 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))

rewrite256.0ms (3.9%)

Memory

29.2MiB live, 559.3MiB allocated

Rules

4 732×	`lower-fma.f64`
4 732×	`lower-fma.f32`
4 522×	`lower-*.f32`
4 516×	`lower-*.f64`
2 930×	`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 x x) (.f64 (*.f64 y y) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (*.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (neg.f64 (.f64 (.f64 y y) (/.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal -4 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -4 binary64))))
(+.f64 (neg.f64 (neg.f64 (.f64 x x))) (.f64 (*.f64 y y) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 y (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (*.f64 x x))))))
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(.f64 (/.f64 (.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 16 binary64)))))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -4 binary64))))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x)) (.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x)))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 16 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 16 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (neg.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64))))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (fma.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64))) (.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (-.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)

eval194.0ms (3%)

Memory: 15.6MiB live, 285.2MiB allocated
Compiler: Compiled 37 362 to 1 542 computations (95.9% saved)

prune150.0ms (2.3%)

Memory

-21.8MiB live, 259.5MiB 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

99.8%

Counts

736 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))))
	57.1%	(/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
▶	42.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64)))
▶	54.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
▶	45.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	55.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 162 to 90 computations (44.4% saved)

simplify326.0ms (5%)

Memory

6.7MiB live, 179.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -8 binary64) (*.f64 x x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x (*.f64 y y))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.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 x #s(literal 1/2 binary64)) (/.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))
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))
cost-diff	0	(/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
cost-diff	1728	(fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))))

Rules

2 800×	`lower-fma.f32`
2 792×	`lower-fma.f64`
2 224×	`lower-*.f32`
2 214×	`lower-*.f64`
938×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	230
0	49	226
1	92	226
2	165	218
3	276	218
4	411	218
5	554	218
6	731	218
7	1093	218
8	2463	218
9	4208	218
10	4791	218
11	4948	218
12	4992	218
13	5008	218
14	5012	218
15	5278	218
16	5394	218
17	5394	218
18	5574	218
19	5737	218
20	5859	218
21	5866	218
22	6022	218
23	6257	218
24	6289	218
25	6289	218
0	6289	213

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize115.0ms (1.8%)

Memory

-0.4MiB live, 161.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.7103359844842038	(/.f64 #s(literal -8 binary64) (*.f64 x x))
accuracy	10.683578749928175	(fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64))
accuracy	33.95185297356243	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64)))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	1.9122401895101058	(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64))
accuracy	7.160456145498055	(/.f64 x (*.f64 y y))
accuracy	27.787664161244734	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
accuracy	35.01607702728611	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy	28.811182247405696	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
accuracy	0.014003759768442016	(.f64 (.f64 y y) #s(literal -4 binary64))
accuracy	0.078125	(fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))))
accuracy	14.968398533226848	(/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
accuracy	21.516737550721817	(/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))

Samples

88.0ms

256×

valid

Compiler

Compiled 214 to 31 computations (85.5% saved)

Precisions

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

ival-mult: 43.0ms (70.4% of total)

ival-div: 10.0ms (16.4% of total)

ival-add: 6.0ms (9.8% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series31.0ms (0.5%)

Memory

-9.8MiB live, 65.7MiB allocated

Counts

17 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

simplify295.0ms (4.5%)

Memory

5.7MiB live, 472.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 052×	`lower-fma.f64`
16 052×	`lower-fma.f32`
3 758×	`lower-*.f64`
3 758×	`lower-*.f32`
3 570×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	5001
1	826	4454
2	2398	4222
3	6957	4166
0	8130	3875

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
1
(- (+ 1 (* -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) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
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)))))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(* 1/4 (/ x (pow y 2)))
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* x (+ (* (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 x)
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x))
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x))
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x))
(/ 1 x)
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))
(* 1/4 (/ x (pow y 2)))
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2))
(* 1/4 (/ x (pow y 2)))
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (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))
(* 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))))
(* 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)))))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
-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
(- (* 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
(- (* 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
(- (* 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))))))
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 (/ (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))))
(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)
(/ -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)))
(* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1)
(- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1)
(- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4))))))
-1
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) 1)
(* -4 (/ (pow y 2) (pow x 2)))
(/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2))
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (pow x 2))
(* -4 (/ (pow y 2) (pow x 2)))
(/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2))
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (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))
(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)

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

rewrite327.0ms (5%)

Memory

30.9MiB live, 626.9MiB allocated

Rules

5 508×	`lower-/.f32`
5 500×	`lower-/.f64`
5 388×	`lower-*.f32`
5 378×	`lower-*.f64`
5 284×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	207
0	49	203
1	200	195
2	1481	195
0	8758	190

Stop Event

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

Counts

17 → 785

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(+.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 y (.f64 y #s(literal -4 binary64)) (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal -4 binary64))))) (/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 x (neg.f64 x) (.f64 y (.f64 y #s(literal -4 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) #s(literal 6 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (+.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) #s(literal 4 binary64)) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))))))) (/.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) #s(literal 6 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (+.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) #s(literal 4 binary64)) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y))))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))))) (/.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) #s(literal 4 binary64)) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 x x) (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y))))))
(fma.f64 x (/.f64 x (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))))
(fma.f64 x (.f64 (/.f64 x (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))))
(fma.f64 x (.f64 (/.f64 x (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (.f64 (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y))))))
(fma.f64 y (.f64 y (/.f64 #s(literal -4 binary64) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))))
(fma.f64 y (.f64 (.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 y (/.f64 (.f64 y #s(literal -4 binary64)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y (neg.f64 y)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 (.f64 x x) (.f64 (/.f64 x (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) (/.f64 x (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))) (neg.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))))
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(.f64 (/.f64 (.f64 y (neg.f64 y)) (/.f64 (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x))))) (/.f64 #s(literal 4 binary64) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))))
(.f64 (/.f64 (.f64 y #s(literal -4 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)))))))
(.f64 (/.f64 (.f64 y #s(literal -4 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (*.f64 y y)))))))
(.f64 (/.f64 (.f64 y #s(literal -4 binary64)) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -4 binary64)) (*.f64 x x)))))
(.f64 (/.f64 (.f64 y #s(literal -4 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)))))
(.f64 (/.f64 (.f64 y #s(literal -4 binary64)) (/.f64 (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -64 binary64))))) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 (.f64 y #s(literal -4 binary64)) (/.f64 (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x))) (.f64 (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x))))) (/.f64 y (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) (.f64 y y)))
(neg.f64 (.f64 #s(literal 4 binary64) (.f64 y y)))
(.f64 y (.f64 y #s(literal -4 binary64)))
(.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 y))
(.f64 (.f64 y y) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (.f64 y y))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (*.f64 y y)))
(.f64 (.f64 y (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 y #s(literal -4 binary64)) y)
(.f64 (neg.f64 y) (.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

eval178.0ms (2.7%)

Memory: 45.9MiB live, 365.3MiB allocated
Compiler: Compiled 53 060 to 2 461 computations (95.4% saved)

prune251.0ms (3.8%)

Memory

-73.0MiB live, 389.6MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 280	4	1 284
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 282	8	1 290

Accuracy

100.0%

Counts

1 290 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))
▶	56.9%	(.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
▶	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))
▶	46.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)))
✓	42.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64)))
✓	54.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
✓	45.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	55.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 100 to 62 computations (38% saved)

simplify276.0ms (4.2%)

Memory

-11.6MiB live, 145.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2 800×	`lower-fma.f32`
2 792×	`lower-fma.f64`
2 224×	`lower-*.f32`
2 210×	`lower-*.f64`
990×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	225
0	53	223
1	99	219
2	177	219
3	339	219
4	649	219
5	954	219
6	1436	219
7	2035	219
8	3148	219
9	4609	219
10	5098	219
11	5160	219
12	5184	219
13	5188	219
14	5188	219
15	5388	219
16	5468	219
17	5468	219
18	5468	219
19	5504	219
20	5670	219
21	5682	219
22	5682	219
0	5682	219

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

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

localize122.0ms (1.9%)

Memory

15.9MiB live, 173.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.014003759768442016	(.f64 #s(literal 4 binary64) (.f64 y y))
accuracy	3.003873909491369	(fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x))
accuracy	26.7939730065769	(/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))
accuracy	0.014003759768442016	(.f64 #s(literal 4 binary64) (.f64 y y))
accuracy	0.7073104729650147	(/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))
accuracy	3.003873909491369	(fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x))
accuracy	27.211275238676418	(.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.10775375976844201	(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64))
accuracy	27.787664161244734	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))
accuracy	0	(*.f64 y #s(literal -8 binary64))
accuracy	0.11328125	(fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))
accuracy	0.24174308198782127	(/.f64 (*.f64 y #s(literal -8 binary64)) x)
accuracy	33.95185297356243	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)))

Samples

86.0ms

256×

valid

Compiler

Compiled 216 to 35 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 17.0ms (48.6% of total)

ival-div: 11.0ms (31.5% of total)

ival-add: 5.0ms (14.3% of total)

ival-sub: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

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

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

series55.0ms (0.8%)

Memory

-13.7MiB live, 59.8MiB allocated

Counts

17 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ y x)
3.0ms	y	@	0	(/ y x)
1.0ms	x	@	0	(/ (* x 1/2) y)
0.0ms	y	@	inf	(/ y x)
0.0ms	y	@	0	(/ (* x 1/2) y)

simplify322.0ms (4.9%)

Memory

5.9MiB live, 437.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 510×	`lower-fma.f64`
15 510×	`lower-fma.f32`
6 626×	`lower-*.f64`
6 626×	`lower-*.f32`
1 784×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	3774
1	541	3598
2	1550	3334
3	5718	3302
0	8313	3084

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
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 (/ (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
(- (* 1/2 (/ (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))))))
(/ 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 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))
(* -8 (/ y x))
-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)))))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(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 (* -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)))))
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 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)
(/ 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))
(* 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))

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

rewrite382.0ms (5.8%)

Memory

32.3MiB live, 541.6MiB allocated

Rules

4 884×	`lower-/.f32`
4 872×	`lower-/.f64`
4 702×	`lower-*.f32`
4 688×	`lower-*.f64`
3 714×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	167
0	53	165
1	212	161
2	1520	161
0	8392	161

Stop Event

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

Counts

17 → 739

Calls

Call 1

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

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

eval175.0ms (2.7%)

Memory: -18.4MiB live, 385.0MiB allocated
Compiler: Compiled 39 388 to 1 637 computations (95.8% saved)

prune166.0ms (2.5%)

Memory

14.4MiB live, 444.8MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	1 235	0	1 235
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	1 235	8	1 243

Accuracy

100.0%

Counts

1 243 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.1%	(/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y))))
✓	56.9%	(.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
✓	56.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))
✓	46.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)))
✓	42.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64)))
✓	54.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
✓	45.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	55.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 248 to 103 computations (58.5% saved)

regimes21.0ms (0.3%)

Memory

9.7MiB live, 48.1MiB allocated

Counts

11 → 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))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
(/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y 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 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))
(fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))))

Outputs

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

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

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

Calls

5 calls:

5.0ms	y
4.0ms	x
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
82.2%	3	`x`
88.4%	3	`y`
82.4%	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)))`
82.2%	3	`(*.f64 x x)`
88.4%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes12.0ms (0.2%)

Memory

-7.9MiB live, 25.9MiB allocated

Counts

10 → 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))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
(/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y 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 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 4 binary64) (*.f64 y y)))))

Outputs

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

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

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

Calls

2 calls:

8.0ms	y
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
88.3%	3	`y`
88.3%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

7 → 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))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))

Outputs

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

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

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

Calls

2 calls:

3.0ms	y
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
88.3%	3	`y`
88.3%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

3.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
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
81.7%	3	`(/.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)))`
80.7%	2	`y`
80.7%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 31 to 16 computations (48.4% saved)

regimes32.0ms (0.5%)

Memory

-18.0MiB live, 20.9MiB allocated

Counts

5 → 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))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)))

Outputs

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

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

Calls

4 calls:

24.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
74.0%	2	`x`
74.0%	2	`(*.f64 x x)`
80.6%	2	`y`
80.6%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

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

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

Calls

3 calls:

2.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
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
81.0%	3	`(/.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)))`
80.0%	2	`y`
80.0%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 31 to 16 computations (48.4% saved)

regimes43.0ms (0.7%)

Memory

-78.8MiB live, 9.6MiB allocated

Counts

2 → 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))

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

2 calls:

41.0ms	y
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
79.7%	2	`y`
79.7%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB 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	y
1.0ms	x
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
55.0%	1	`x`
55.0%	1	`(*.f64 x x)`
55.0%	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)))`
55.0%	1	`y`
55.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.696999255724352e+201	9.118886721519419e+205
0.0ms	2.8006036570253814e-190	4.355390493558152e-186

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.696999255724352e+201	9.118886721519419e+205
0.0ms	2.8006036570253814e-190	4.355390493558152e-186

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.696999255724352e+201	9.118886721519419e+205
0.0ms	2.8006036570253814e-190	4.355390493558152e-186

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1608.6397941924265	49419.98746604802

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1608.6397941924265	49419.98746604802

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1608.6397941924265	49419.98746604802

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch12.0ms (0.2%)

Memory

-21.1MiB live, 18.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	1608.6397941924265	49419.98746604802

Samples

8.0ms

80×

valid

Compiler

Compiled 70 to 54 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (53.9% of total)

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

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

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

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

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

simplify10.0ms (0.2%)

Memory

31.0MiB live, 31.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	554
1	73	554

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2000 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 #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 15000 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 (.f64 y #s(literal 4 binary64)) y) #s(literal 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) (if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) (if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 x x (.f64 #s(literal 4 binary64) (.f64 y y)))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) (if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 4999999999999999508737295659820865136036064183695196641472492202216911574133455328451538609289877240337374171051951292319935915520653274410158475954629360671458393142723593846507077330656696262438420480 binary64)) (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 2000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 x y) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 2000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 2000 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 #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 2000 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 #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 15000 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 y (.f64 y #s(literal 4 binary64))) #s(literal 15000 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))

soundness813.0ms (12.4%)

Memory

5.7MiB live, 549.3MiB allocated

Rules

18 822×	`lower-fma.f64`
18 822×	`lower-fma.f32`
7 268×	`lower-*.f64`
7 268×	`lower-*.f32`
5 508×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	207
0	49	203
1	200	195
2	1481	195
0	8758	190
0	116	984
1	321	930
2	960	844
3	4057	836
0	8241	766
0	9	43
0	15	43
1	54	43
2	397	43
3	6323	43
0	8488	39

Stop Event

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

Compiler

Compiled 580 to 228 computations (60.7% saved)

preprocess151.0ms (2.3%)

Memory

5.9MiB live, 173.6MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 1 014 to 292 computations (71.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample902.0ms (13.7%)

explain140.0ms (2.1%)

preprocess221.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify65.0ms (1%)

localize26.0ms (0.4%)

series22.0ms (0.3%)

simplify449.0ms (6.8%)

rewrite256.0ms (3.9%)

eval194.0ms (3%)

prune150.0ms (2.3%)

simplify326.0ms (5%)

localize115.0ms (1.8%)

series31.0ms (0.5%)

simplify295.0ms (4.5%)

rewrite327.0ms (5%)

eval178.0ms (2.7%)

prune251.0ms (3.8%)

simplify276.0ms (4.2%)

localize122.0ms (1.9%)

series55.0ms (0.8%)

simplify322.0ms (4.9%)

rewrite382.0ms (5.8%)

eval175.0ms (2.7%)

prune166.0ms (2.5%)

regimes21.0ms (0.3%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes32.0ms (0.5%)

regimes6.0ms (0.1%)

regimes43.0ms (0.7%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

simplify10.0ms (0.2%)

soundness813.0ms (12.4%)

preprocess151.0ms (2.3%)

end0.0ms (0%)

Profiling