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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.3MiB live, 3.3MiB 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)

sample928.0ms (15.5%)

Memory

38.1MiB live, 1 203.4MiB allocated

Samples

652.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 385.0ms

ival-mult: 195.0ms (50.7% of total)

ival-div: 73.0ms (19% of total)

ival-sub: 66.0ms (17.2% of total)

ival-add: 37.0ms (9.6% 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

explain144.0ms (2.4%)

Memory

-28.0MiB live, 313.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	o/o	112	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	60
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	112
↳	`(*.f64 x x)`	overflow	67
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	60
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	112
↳	`(*.f64 x x)`	overflow	67
`/.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	17	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	57
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	17
↳	`(*.f64 x x)`	underflow	61
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	57
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	17
↳	`(*.f64 x x)`	underflow	61
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	15	0
↳	`(*.f64 x x)`	overflow	67
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	60

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	114
2	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms

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: 14.0ms (60% of total)

ival-div: 5.0ms (21.4% of total)

ival-sub: 2.0ms (8.6% of total)

ival-add: 2.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess189.0ms (3.2%)

Memory

-25.3MiB live, 91.0MiB 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 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 21 to 9 computations (57.1% saved)

eval2.0ms (0%)

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

prune1.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.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)

simplify56.0ms (0.9%)

Memory

25.0MiB live, 63.2MiB 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 y 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 y #s(literal 4 binary64)) y))
(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(.f64 y (.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))

localize57.0ms (1%)

Memory

3.6MiB live, 80.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	3.4999793583020584	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	31.65633529656297	(/.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

43.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (47.1% of total)

ival-div: 2.0ms (23.5% of total)

ival-sub: 1.0ms (11.8% of total)

ival-add: 1.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.5%)

Memory

-15.9MiB live, 21.6MiB allocated

Counts

4 → 84

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>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms	y	@	inf	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms	x	@	inf	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms	x	@	-inf	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms	y	@	0	((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))

simplify208.0ms (3.5%)

Memory

6.6MiB live, 288.4MiB 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	115	954
1	319	954
2	956	808
3	4078	800
0	8264	730

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite230.0ms (3.9%)

Memory

15.0MiB live, 332.0MiB 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	40
0	15	40
1	54	40
2	397	40
3	6323	40
0	8488	36

Stop Event

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

Counts

4 → 602

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)

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

eval119.0ms (2%)

Memory: 9.5MiB live, 191.7MiB allocated
Compiler: Compiled 36 806 to 1 537 computations (95.8% saved)

prune138.0ms (2.3%)

Memory

-37.4MiB live, 263.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	701	6	707
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	702	6	708

Accuracy

99.9%

Counts

708 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
	38.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)))
▶	45.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
▶	47.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
▶	48.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	52.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 158 to 90 computations (43% saved)

simplify309.0ms (5.2%)

Memory

1.8MiB live, 155.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2 800×	`lower-fma.f32`
2 792×	`lower-fma.f64`
2 224×	`lower-*.f32`
2 216×	`lower-*.f64`
928×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	204
0	45	200
1	82	196
2	150	196
3	257	196
4	392	196
5	539	196
6	719	196
7	1071	196
8	2429	196
9	4183	196
10	4763	196
11	4914	196
12	4958	196
13	4974	196
14	4978	196
15	5244	196
16	5360	196
17	5360	196
18	5536	196
19	5698	196
20	5818	196
21	5825	196
22	5981	196
23	6214	196
24	6246	196
25	6246	196
0	6246	196

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize80.0ms (1.3%)

Memory

9.4MiB live, 157.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 4 binary64) y)
accuracy	3.4999793583020584	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	31.65633529656297	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.2658470936565472	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
accuracy	11.839479449631636	(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
accuracy	29.699454986491453	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
accuracy	0.5591084909863709	(/.f64 #s(literal -8 binary64) (*.f64 x x))
accuracy	1.4519792538840233	(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
accuracy	9.32784379559529	(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
accuracy	31.726817622043427	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
accuracy	32.86734816416826	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy	30.61208934730336	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Samples

44.0ms

256×

valid

Compiler

Compiled 186 to 30 computations (83.9% saved)

Precisions

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

ival-mult: 14.0ms (47.9% of total)

ival-div: 8.0ms (27.4% of total)

ival-add: 5.0ms (17.1% of total)

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

exact: 1.0ms (3.4% of total)

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

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

series25.0ms (0.4%)

Memory

2.0MiB live, 38.9MiB allocated

Counts

14 → 276

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) (* y y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* x x) (* 4 y))
2.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) (* y y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* x x) (* 4 y))
2.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) (* y y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* x x) (* 4 y))
2.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) (* y y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* x x) (* 4 y))
2.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ -8 (* x x)) y) y) 1) (* (/ -8 (* x x)) y) (/ -8 (* x x)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) (* y y) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* x x) (* 4 y))

simplify212.0ms (3.5%)

Memory

37.7MiB live, 306.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 078×	`lower-fma.f64`
19 078×	`lower-fma.f32`
6 868×	`lower-*.f64`
6 868×	`lower-*.f32`
2 958×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	3541
1	331	3258
2	996	3088
3	4177	3002
0	8237	2778

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

rewrite160.0ms (2.7%)

Memory

-12.3MiB live, 308.2MiB allocated

Rules

6 612×	`lower-fma.f32`
6 604×	`lower-fma.f64`
4 906×	`lower-*.f32`
4 898×	`lower-*.f64`
4 242×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	173
0	45	169
1	184	165
2	1279	165
0	8679	165

Stop Event

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

Counts

14 → 511

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

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (/.f64 #s(literal -512 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (.f64 y y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y))))))
(.f64 (fma.f64 (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (/.f64 #s(literal -512 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (.f64 y y) (.f64 (/.f64 #s(literal 8 binary64) (.f64 x x)) (*.f64 y y))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (/.f64 #s(literal -512 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (.f64 y y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))) #s(literal -1 binary64))
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(fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y)))
(-.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x))))
(-.f64 (.f64 #s(literal -16 binary64) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (neg.f64 x) x (.f64 #s(literal -4 binary64) (*.f64 y y)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) y))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x)))))
(+.f64 (.f64 #s(literal -16 binary64) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (neg.f64 x) x (.f64 #s(literal -4 binary64) (*.f64 y y))))))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 y y)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval354.0ms (5.9%)

Memory: -23.9MiB live, 244.9MiB allocated
Compiler: Compiled 27 237 to 1 556 computations (94.3% saved)

prune204.0ms (3.4%)

Memory

-4.8MiB live, 154.9MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	902	1	903
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	902	7	909

Accuracy

100.0%

Counts

909 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
▶	38.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)))
▶	53.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
✓	45.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
✓	47.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
✓	48.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 92 to 53 computations (42.4% saved)

simplify145.0ms (2.4%)

Memory

16.0MiB live, 93.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x 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 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)))
cost-diff	640	(fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
cost-diff	384	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))

Rules

5 108×	`lower-fma.f32`
5 102×	`lower-fma.f64`
3 154×	`lower-*.f32`
3 144×	`lower-*.f64`
1 400×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	178
0	44	178
1	86	166
2	194	156
3	501	156
4	1074	156
5	1549	156
6	1758	156
7	2278	156
8	4196	156
9	6919	156
10	7762	156
0	8120	148

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(/.f64 x y)
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x)))
(/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x))
(*.f64 y y)
y
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 32 binary64)
(/.f64 #s(literal -8 binary64) (*.f64 x x))
#s(literal -8 binary64)
#s(literal 1 binary64)

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

localize128.0ms (2.2%)

Memory

6.9MiB live, 79.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	8.514240796406124	(fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
accuracy	12.562491743320825	(fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x)))
accuracy	16.713497364986605	(/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x))
accuracy	32.80549442864003	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.12794877930532605	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
accuracy	29.699454986491453	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))

Samples

40.0ms

256×

valid

Compiler

Compiled 149 to 30 computations (79.9% saved)

Precisions

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

ival-mult: 14.0ms (50% of total)

ival-div: 8.0ms (28.6% of total)

ival-add: 4.0ms (14.3% of total)

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

exact: 1.0ms (3.6% of total)

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

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

series90.0ms (1.5%)

Memory

-14.7MiB live, 33.3MiB allocated

Counts

9 → 204

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (patch (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
71.0ms	x	@	inf	((+ (* (/ (* 1/2 x) y) (/ x y)) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (+ (* (/ (* y y) (* (* (* x x) x) x)) 32) (/ -8 (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (+ (* (/ (* y y) (* (* (* x x) x) x)) 32) (/ -8 (* x x))) (* y y)) 1) (/ (* y y) (* (* (* x x) x) x)) (/ x y))
2.0ms	y	@	inf	((+ (* (/ (* 1/2 x) y) (/ x y)) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (+ (* (/ (* y y) (* (* (* x x) x) x)) 32) (/ -8 (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (+ (* (/ (* y y) (* (* (* x x) x) x)) 32) (/ -8 (* x x))) (* y y)) 1) (/ (* y y) (* (* (* x x) x) x)) (/ x y))
2.0ms	x	@	-inf	((+ (* (/ (* 1/2 x) y) (/ x y)) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (+ (* (/ (* y y) (* (* (* x x) x) x)) 32) (/ -8 (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (+ (* (/ (* y y) (* (* (* x x) x) x)) 32) (/ -8 (* x x))) (* y y)) 1) (/ (* y y) (* (* (* x x) x) x)) (/ x y))
2.0ms	y	@	0	((+ (* (/ (* 1/2 x) y) (/ x y)) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (+ (* (/ (* y y) (* (* (* x x) x) x)) 32) (/ -8 (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (+ (* (/ (* y y) (* (* (* x x) x) x)) 32) (/ -8 (* x x))) (* y y)) 1) (/ (* y y) (* (* (* x x) x) x)) (/ x y))
2.0ms	x	@	0	((+ (* (/ (* 1/2 x) y) (/ x y)) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* 1/2 x) y) (* 1/2 x) (+ (* (/ (* y y) (* (* (* x x) x) x)) 32) (/ -8 (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (+ (* (/ (* y y) (* (* (* x x) x) x)) 32) (/ -8 (* x x))) (* y y)) 1) (/ (* y y) (* (* (* x x) x) x)) (/ x y))

simplify196.0ms (3.3%)

Memory

2.4MiB live, 231.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 414×	`lower-fma.f64`
16 414×	`lower-fma.f32`
6 594×	`lower-*.f64`
6 594×	`lower-*.f32`
2 510×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	2420
1	381	2228
2	1126	2180
3	4675	2104
0	8232	1978

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite174.0ms (2.9%)

Memory

15.4MiB live, 328.6MiB allocated

Rules

5 522×	`lower-/.f32`
5 514×	`lower-/.f64`
5 032×	`lower-*.f32`
5 022×	`lower-*.f64`
2 976×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	146
0	44	138
1	180	130
2	1448	128
0	8558	122

Stop Event

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

Counts

9 → 473

Calls

Call 1

Inputs
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 x y)

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

eval128.0ms (2.1%)

Memory: 0.7MiB live, 273.7MiB allocated
Compiler: Compiled 20 165 to 1 759 computations (91.3% saved)

prune81.0ms (1.3%)

Memory

-13.9MiB live, 267.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	676	1	677
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	677	7	684

Accuracy

100.0%

Counts

684 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
▶	43.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
✓	53.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
✓	45.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
✓	47.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
✓	48.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 88 to 51 computations (42% saved)

simplify108.0ms (1.8%)

Memory

7.4MiB live, 204.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (*.f64 x x))
cost-diff	0	(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x 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 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))

Rules

7 564×	`lower-fma.f32`
7 560×	`lower-fma.f64`
4 152×	`lower-*.f32`
4 148×	`lower-*.f64`
1 464×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	98
0	28	98
1	58	98
2	123	98
3	237	98
4	436	98
5	870	98
6	1388	98
7	2010	98
8	4402	98
0	8029	92

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64))
(/.f64 #s(literal 32 binary64) (*.f64 x x))
#s(literal 32 binary64)
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal -8 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y (.f64 x x)) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (/.f64 y (.f64 x x)) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (*.f64 x x))
(/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64))
(fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64))
(/.f64 #s(literal 32 binary64) (*.f64 x x))
#s(literal 32 binary64)
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal -8 binary64)
#s(literal 1 binary64)

localize42.0ms (0.7%)

Memory

25.6MiB live, 104.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	3.127503827048668	(/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (*.f64 x x))
accuracy	8.514240796406124	(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))
accuracy	11.78662197195499	(fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64))
accuracy	32.80549442864003	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 84 to 21 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (44.6% of total)

ival-div: 5.0ms (27.9% of total)

ival-add: 3.0ms (16.7% of total)

ival-sub: 1.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

-18.6MiB live, 42.1MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (patch (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (patch (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (+ (* (/ 32 (* x x)) (* y y)) -8) (* x x)) (* y y)) 1) (/ (+ (* (/ 32 (* x x)) (* y y)) -8) (* x x)) (+ (* (/ 32 (* x x)) (* y y)) -8))
1.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (+ (* (/ 32 (* x x)) (* y y)) -8) (* x x)) (* y y)) 1) (/ (+ (* (/ 32 (* x x)) (* y y)) -8) (* x x)) (+ (* (/ 32 (* x x)) (* y y)) -8))
1.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (+ (* (/ 32 (* x x)) (* y y)) -8) (* x x)) (* y y)) 1) (/ (+ (* (/ 32 (* x x)) (* y y)) -8) (* x x)) (+ (* (/ 32 (* x x)) (* y y)) -8))
1.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (+ (* (/ 32 (* x x)) (* y y)) -8) (* x x)) (* y y)) 1) (/ (+ (* (/ 32 (* x x)) (* y y)) -8) (* x x)) (+ (* (/ 32 (* x x)) (* y y)) -8))
1.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (+ (* (/ 32 (* x x)) (* y y)) -8) (* x x)) (* y y)) 1) (/ (+ (* (/ 32 (* x x)) (* y y)) -8) (* x x)) (+ (* (/ 32 (* x x)) (* y y)) -8))

simplify204.0ms (3.4%)

Memory

3.7MiB live, 271.6MiB allocated

Algorithm

1×	egg-herbie

Rules

21 182×	`lower-fma.f64`
21 182×	`lower-fma.f32`
7 674×	`lower-*.f64`
7 674×	`lower-*.f32`
3 214×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	1496
1	376	1472
2	1109	1364
3	4585	1336
0	8995	1246

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite242.0ms (4.1%)

Memory

-9.2MiB live, 224.0MiB allocated

Rules

10 112×	`lower-fma.f32`
10 108×	`lower-fma.f64`
6 694×	`lower-*.f32`
6 690×	`lower-*.f64`
3 560×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	28	82
1	124	82
2	924	82
0	8762	80

Stop Event

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

Counts

4 → 230

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y)))))
(.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal 1 binary64))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (.f64 x x)) (.f64 y y) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)))))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal 1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y)) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal -1 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (.f64 x x)) (.f64 y y) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x))))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (*.f64 y y) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))))) (+.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)) (.f64 x x)) (.f64 y y) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y) y) (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64)) y)) y) (.f64 (.f64 (*.f64 x x) x) x)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64))))
(neg.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)))
(fma.f64 (.f64 (.f64 (.f64 y y) #s(literal 32 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -8 binary64))
(fma.f64 (.f64 y #s(literal 32 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) #s(literal -8 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 32 binary64) y) x) (/.f64 y x) #s(literal -8 binary64))
(fma.f64 (/.f64 (*.f64 y y) (neg.f64 x)) (/.f64 #s(literal -32 binary64) x) #s(literal -8 binary64))
(fma.f64 (/.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -32 binary64) (.f64 x x)) #s(literal -8 binary64))
(fma.f64 (/.f64 y (*.f64 x x)) (/.f64 y #s(literal 1/32 binary64)) #s(literal -8 binary64))
(fma.f64 (/.f64 y x) (/.f64 y (*.f64 x #s(literal 1/32 binary64))) #s(literal -8 binary64))
(fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal 32 binary64) #s(literal -8 binary64))
(fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 32 binary64)) x) (/.f64 #s(literal 1 binary64) x) #s(literal -8 binary64))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 32 binary64) x) y) y) (/.f64 #s(literal 1 binary64) x) #s(literal -8 binary64))
(fma.f64 (.f64 #s(literal 32 binary64) y) (.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -8 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 y y) #s(literal 32 binary64)) x) #s(literal -8 binary64))
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64))
(fma.f64 (.f64 #s(literal -32 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -8 binary64))
(fma.f64 (/.f64 #s(literal -32 binary64) x) (/.f64 (*.f64 y y) (neg.f64 x)) #s(literal -8 binary64))
(fma.f64 (/.f64 #s(literal 32 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y y)) #s(literal -8 binary64))
(fma.f64 (/.f64 #s(literal 32 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -8 binary64))
(fma.f64 (.f64 (.f64 y y) #s(literal 32 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -8 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) y) y #s(literal -8 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 y y) #s(literal 1/32 binary64)) #s(literal -8 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (*.f64 y y) #s(literal 32 binary64)) #s(literal -8 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1024 binary64) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal 8 binary64))) (neg.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (*.f64 x x)) #s(literal 8 binary64)))))
(fma.f64 #s(literal -32 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 y y)) #s(literal -8 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 32 binary64) (*.f64 x x)) y) y) #s(literal -8 binary64))
(fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -8 binary64))
(fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64))
(fma.f64 #s(literal 32 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y y) x)) #s(literal -8 binary64))
(fma.f64 #s(literal 32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64))
(fma.f64 #s(literal 32 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) y) #s(literal -8 binary64))
(fma.f64 y (.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) y) #s(literal -8 binary64))
(-.f64 (/.f64 #s(literal 64 binary64) (-.f64 #s(literal -8 binary64) (.f64 (.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) y) y))) (/.f64 (/.f64 (.f64 #s(literal 1024 binary64) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal -8 binary64) (.f64 (.f64 (/.f64 #s(literal 32 binary64) (*.f64 x x)) y) y))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1024 binary64) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (*.f64 x x)) #s(literal 8 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -32 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 8 binary64)))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1024 binary64) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal 8 binary64))) (neg.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (.f64 y y) (/.f64 #s(literal 32 binary64) (*.f64 x x)) #s(literal 8 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 32 binary64) (*.f64 x x)) y) y) #s(literal -8 binary64))
(+.f64 #s(literal -8 binary64) (.f64 (.f64 (/.f64 #s(literal 32 binary64) (*.f64 x x)) y) y))

eval57.0ms (1%)

Memory: 11.7MiB live, 81.9MiB allocated
Compiler: Compiled 11 668 to 779 computations (93.3% saved)

prune95.0ms (1.6%)

Memory

-10.0MiB live, 100.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	326	0	326
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	326	7	333

Accuracy

100.0%

Counts

333 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
✓	43.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
✓	53.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
✓	45.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
✓	47.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
✓	48.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 207 to 89 computations (57% saved)

regimes18.0ms (0.3%)

Memory

2.5MiB live, 39.6MiB allocated

Counts

9 → 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 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (.f64 y y) #s(literal -8 binary64)) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 32 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)))

Outputs

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

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

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

Calls

5 calls:

5.0ms	(*.f64 x x)
3.0ms	x
3.0ms	y
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
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
82.7%	3	`x`
80.2%	3	`y`
75.9%	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)))`
82.7%	3	`(*.f64 x x)`
80.2%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes6.0ms (0.1%)

Memory

-21.9MiB live, 16.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
82.6%	3	`x`
82.6%	3	`(*.f64 x x)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes10.0ms (0.2%)

Memory

33.6MiB live, 33.6MiB 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 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
74.5%	2	`y`
74.5%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
77.7%	2	`x`
77.7%	2	`(*.f64 x x)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-35.1MiB live, 11.9MiB 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 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.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 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)))

Calls

2 calls:

4.0ms	(*.f64 x x)
2.0ms	x

Results

Accuracy	Segments	Branch
77.2%	2	`x`
77.2%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB 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:

2.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
76.8%	2	`x`
76.8%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
52.2%	1	`y`
52.2%	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)))`
52.2%	1	`x`
52.2%	1	`(*.f64 x x)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.735453744604125e+296	6.475953549160903e+297
0.0ms	5.865811096352785e-272	1.5502651884566069e-261

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.735453744604125e+296	6.475953549160903e+297
0.0ms	5.865811096352785e-272	1.5502651884566069e-261

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3957656044492056e-17	1.036409836613078e-12

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch13.0ms (0.2%)

Memory

-9.3MiB live, 29.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.3957656044492056e-17	1.036409836613078e-12

Samples

7.0ms

128×

valid

Compiler

Compiled 158 to 110 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (55.4% of total)

ival-sub: 1.0ms (27.7% of total)

ival-div: 1.0ms (27.7% of total)

ival-add: 1.0ms (27.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	3.3957656044492056e-17	1.036409836613078e-12

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify11.0ms (0.2%)

Memory

-19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	372
1	64	372
2	79	372
3	87	372
4	93	372
5	95	372

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 1077503010193995/316912650057057350374175801344 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 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (.f64 x x) #s(literal 7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (+.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) (if (<=.f64 (.f64 x x) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 1077503010193995/316912650057057350374175801344 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 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 2028240960365167/40564819207303340847894502572032 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))

soundness665.0ms (11.1%)

Memory

2.7MiB live, 478.8MiB allocated

Rules

18 822×	`lower-fma.f64`
18 822×	`lower-fma.f32`
7 268×	`lower-*.f64`
7 268×	`lower-*.f32`
6 612×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
0	15	40
1	54	40
2	397	40
3	6323	40
0	8488	36
0	115	954
1	319	954
2	956	808
3	4078	800
0	8264	730
0	29	173
0	45	169
1	184	165
2	1279	165
0	8679	165

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 373 to 150 computations (59.8% saved)

preprocess69.0ms (1.2%)

Memory

-1.6MiB live, 114.5MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 758 to 248 computations (67.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample928.0ms (15.5%)

explain144.0ms (2.4%)

preprocess189.0ms (3.2%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify56.0ms (0.9%)

localize57.0ms (1%)

series29.0ms (0.5%)

simplify208.0ms (3.5%)

rewrite230.0ms (3.9%)

eval119.0ms (2%)

prune138.0ms (2.3%)

simplify309.0ms (5.2%)

localize80.0ms (1.3%)

series25.0ms (0.4%)

simplify212.0ms (3.5%)

rewrite160.0ms (2.7%)

eval354.0ms (5.9%)

prune204.0ms (3.4%)

simplify145.0ms (2.4%)

localize128.0ms (2.2%)

series90.0ms (1.5%)

simplify196.0ms (3.3%)

rewrite174.0ms (2.9%)

eval128.0ms (2.1%)

prune81.0ms (1.3%)

simplify108.0ms (1.8%)

localize42.0ms (0.7%)

series22.0ms (0.4%)

simplify204.0ms (3.4%)

rewrite242.0ms (4.1%)

eval57.0ms (1%)

prune95.0ms (1.6%)

regimes18.0ms (0.3%)

regimes6.0ms (0.1%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

soundness665.0ms (11.1%)

preprocess69.0ms (1.2%)

end0.0ms (0%)

Profiling