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

2.7MiB live, 2.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample1.1s (15.9%)

Memory

46.5MiB live, 1 351.6MiB allocated

Samples

714.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-mult: 232.0ms (51.4% of total)

ival-div: 72.0ms (15.9% of total)

ival-add: 72.0ms (15.9% of total)

ival-sub: 61.0ms (13.5% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

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

Bogosity

explain254.0ms (3.5%)

Memory

-29.4MiB live, 248.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
135	-	-	`(/.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)))`
17	-	-	`(-.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	118	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	118
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	74
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	118
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	74
`/.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	70
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	17
↳	`(*.f64 x x)`	underflow	53
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	70
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	17
↳	`(*.f64 x x)`	underflow	53
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	17	0
↳	`(*.f64 x x)`	overflow	74
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	135	0
-	0	121

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	0	0	121

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	121
1	118
2	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 127 to 31 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sub: 26.0ms (46.4% of total)

ival-mult: 24.0ms (42.8% of total)

ival-div: 3.0ms (5.4% of total)

ival-add: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess183.0ms (2.5%)

Memory

34.4MiB live, 108.9MiB 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)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Compiler

Compiled 21 to 9 computations (57.1% saved)

simplify53.0ms (0.7%)

Memory

-14.6MiB live, 24.7MiB 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))

localize47.0ms (0.7%)

Memory

-31.6MiB live, 26.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	3.746079300811441	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	33.060643516702584	(/.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

41.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 17.0ms (78.7% of total)

ival-div: 2.0ms (9.3% of total)

ival-sub: 1.0ms (4.6% of total)

ival-add: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

simplify185.0ms (2.6%)

Memory

4.8MiB live, 199.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 822×	`lower-fma.f64`
18 822×	`lower-fma.f32`
7 268×	`lower-*.f64`
7 268×	`lower-*.f32`
2 750×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	990
1	321	990
2	960	844
3	4060	836
0	8249	766

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* -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 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* -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 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* -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 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* -4 (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 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* -4 (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 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* -4 (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 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (.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 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 -8 binary64) (.f64 y y)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 -8 binary64) (.f64 y y)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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)

rewrite191.0ms (2.7%)

Memory

26.6MiB live, 257.5MiB allocated

Rules

4 732×	`lower-fma.f64`
4 732×	`lower-fma.f32`
4 522×	`lower-*.f32`
4 516×	`lower-*.f64`
2 930×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 604

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (-.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
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(fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x)) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (.f64 #s(literal -4 binary64) (*.f64 y y))))
(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 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))))))
(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -3 binary64))) (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -3 binary64))) (fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (/.f64 (neg.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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.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 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.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)))) #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(+.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (.f64 #s(literal -4 binary64) (.f64 y y))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) (.f64 (/.f64 y (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (*.f64 #s(literal 4 binary64) y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) x) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)) #s(literal -1 binary64)) (.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)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval123.0ms (1.7%)

Memory: 2.6MiB live, 242.0MiB allocated
Compiler: Compiled 26 300 to 1 532 computations (94.2% saved)

prune86.0ms (1.2%)

Memory

-6.3MiB live, 232.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	731	4	735
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	732	4	736

Accuracy

99.8%

Counts

736 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(/.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)))
▶	56.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
▶	55.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	45.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 40 to 23 computations (42.5% saved)

simplify181.0ms (2.5%)

Memory

-11.9MiB live, 67.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 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 x)
cost-diff	0	(*.f64 #s(literal -8 binary64) (/.f64 y x))
cost-diff	0	(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y 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 -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Rules

1 840×	`lower-fma.f32`
1 834×	`lower-fma.f64`
1 408×	`lower-*.f32`
1 400×	`lower-*.f64`
564×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	142
0	38	139
1	68	136
2	110	136
3	173	136
4	289	136
5	421	136
6	590	136
7	880	136
8	1773	136
9	3088	136
10	3394	136
11	3578	136
12	3681	136
13	3693	136
14	3703	136
15	3760	136
16	3800	136
17	3942	136
18	3966	136
19	3966	136
20	3974	136
21	3974	136
22	3974	136
0	3974	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize61.0ms (0.8%)

Memory

1.5MiB live, 121.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 4 binary64) y)
accuracy	3.546860550811441	(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x))
accuracy	33.060643516702584	(/.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 y x)
accuracy	0.01171875	(*.f64 #s(literal -8 binary64) (/.f64 y x))
accuracy	0.09441376953688403	(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
accuracy	27.588699164856173	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
accuracy	28.3798512044313	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy	34.94453062541906	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 134 to 26 computations (80.6% saved)

Precisions

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

ival-mult: 13.0ms (47.9% of total)

ival-add: 7.0ms (25.8% of total)

ival-div: 5.0ms (18.4% of total)

ival-sub: 2.0ms (7.4% of total)

exact: 1.0ms (3.7% of total)

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

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

series19.0ms (0.3%)

Memory

1.5MiB live, 40.8MiB allocated

Counts

11 → 228

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (patch #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) (patch #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<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 y y) (patch (.f64 y y) #<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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor 0 y) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor 0 y) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor 0 y) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor 0 y) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#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 (* -8 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#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 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) (taylor 0 y) (#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 (* (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 (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 0 y) (#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 (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 y) (#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 (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 y) (#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 (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 y) (#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 y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf 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 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) (taylor inf 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 (- (+ (* -1/4 (/ (* (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 #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 (- (+ (* 1/16 (/ (* (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 #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 inf 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 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) (taylor inf 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 (- (+ (* -1/4 (/ (* (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 #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 (- (+ (* 1/16 (/ (* (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 #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 inf y) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #<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 #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #<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 #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #<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 #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ (pow y 2) (pow x 2))) (taylor inf y) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) (taylor inf y) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) (taylor inf y) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) (taylor inf y) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor inf y) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor inf y) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor inf y) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor inf y) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<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))) #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 (+ (* -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))) #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 -inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor -inf x) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor -inf x) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor -inf x) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -8 (/ y x)) (taylor -inf x) (#s(alt (.f64 #s(literal -8 binary64) (/.f64 y x)) (patch (.f64 #s(literal -8 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<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 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* 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 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* 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 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
1.0ms	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 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))
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) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y))

simplify241.0ms (3.3%)

Memory

-11.8MiB live, 202.8MiB allocated

Algorithm

1×	egg-herbie

Rules

19 110×	`lower-fma.f64`
19 110×	`lower-fma.f32`
7 200×	`lower-*.f64`
7 200×	`lower-*.f32`
2 836×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	2762
1	316	2762
2	945	2306
3	3934	2290
0	8255	2118

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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 x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(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 y 2)
(pow y 2)
(pow y 2)
(pow y 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 x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
-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))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 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 x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
-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))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 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 x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
-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 x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
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 x))
(* -8 (/ y x))
(* -8 (/ y x))
(* -8 (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
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 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #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))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
-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) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 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) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 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) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 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 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y 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) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))
(* -4 (pow y 2))
(.f64 #s(literal -4 binary64) (.f64 y y))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -4 binary64)) y) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -4 binary64)) y) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -4 binary64)) 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)
(* 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) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 x x) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))
-1
#s(literal -1 binary64)
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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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y 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 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #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)

rewrite348.0ms (4.8%)

Memory

-1.2MiB live, 194.3MiB allocated

Rules

6 298×	`lower-fma.f32`
6 292×	`lower-fma.f64`
4 764×	`lower-*.f32`
4 756×	`lower-*.f64`
4 104×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	124
0	38	121
1	149	116
2	1081	116
0	8754	114

Stop Event

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

Counts

11 → 479

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(/.f64 y x)
(/.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 y y)
(*.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 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))))
(fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal -8 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) (/.f64 y x)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 8 binary64) (.f64 (/.f64 y x) y)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 y) (.f64 #s(literal -8 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 #s(literal -8 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) x)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x y))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 y x) #s(literal -8 binary64)) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -8 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
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eval184.0ms (2.6%)

Memory: 20.9MiB live, 141.4MiB allocated
Compiler: Compiled 21 583 to 1 339 computations (93.8% saved)

prune245.0ms (3.4%)

Memory

-26.0MiB live, 135.1MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	771	2	773
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	771	6	777

Accuracy

99.8%

Counts

777 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.3%	(/.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)))
▶	48.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
✓	56.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
▶	55.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
✓	55.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	45.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 83 to 51 computations (38.6% saved)

simplify225.0ms (3.1%)

Memory

9.3MiB live, 133.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(*.f64 #s(literal -8 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -8 binary64) y) y)
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))

Rules

1 916×	`lower-fma.f32`
1 910×	`lower-fma.f64`
1 468×	`lower-*.f32`
1 460×	`lower-*.f64`
1 216×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	204
0	51	204
1	85	202
2	154	202
3	311	202
4	584	202
5	788	202
6	1108	202
7	1428	202
8	2576	202
9	3361	202
10	3558	202
11	3601	202
12	3621	202
13	3625	202
14	3629	202
15	3721	202
16	3761	202
17	3761	202
18	3761	202
19	3761	202
0	3761	192

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))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(/.f64 y x)
y
x
#s(literal 6 binary64)
#s(literal -512 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
#s(literal 8 binary64)
(pow.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
#s(literal -2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -8 binary64) y) y)
(*.f64 #s(literal -8 binary64) y)
#s(literal -8 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(/.f64 y x)
y
x
#s(literal 6 binary64)
#s(literal -512 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
#s(literal -2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal -8 binary64) x) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal -8 binary64) x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -8 binary64) y) y)
(*.f64 #s(literal -8 binary64) y)
#s(literal -8 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize80.0ms (1.1%)

Memory

10.4MiB live, 164.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal -8 binary64) y)
accuracy	0.13347626953688402	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	12.81957970264437	(fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
accuracy	27.588699164856173	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
accuracy	0.18462758791597814	(pow.f64 (/.f64 y x) #s(literal 4 binary64))
accuracy	0.2676163086106521	(pow.f64 (/.f64 x y) #s(literal -2 binary64))
accuracy	25.33161292224397	(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
accuracy	27.588699164856173	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))

Samples

56.0ms

256×

valid

Compiler

Compiled 172 to 35 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 14.0ms (34.8% of total)

ival-div: 12.0ms (29.8% of total)

ival-pow: 7.0ms (17.4% of total)

ival-add: 6.0ms (14.9% of total)

ival-sub: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

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

series35.0ms (0.5%)

Memory

-3.3MiB live, 72.6MiB allocated

Counts

11 → 228

Calls

Call 1

Inputs
#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))) (patch (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #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) y) y) (/.f64 #s(literal 1 binary64) (.f64 x x)) #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) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -8 binary64) y) y) (patch (.f64 (.f64 #s(literal -8 binary64) y) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -8 binary64) y) (patch (.f64 #s(literal -8 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (patch (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((+ 1 (* 8 (pow (/ x y) -2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ x y) -2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* (* -8 y) y) (* -8 y) (/ 1 (* x x)) (pow (/ x y) -2) (pow (/ y x) 4) (+ (* (* (* -8 y) y) (/ 1 (* x x))) 1))
5.0ms	y	@	-inf	((+ 1 (* 8 (pow (/ x y) -2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ x y) -2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* (* -8 y) y) (* -8 y) (/ 1 (* x x)) (pow (/ x y) -2) (pow (/ y x) 4) (+ (* (* (* -8 y) y) (/ 1 (* x x))) 1))
4.0ms	y	@	inf	((+ 1 (* 8 (pow (/ x y) -2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ x y) -2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* (* -8 y) y) (* -8 y) (/ 1 (* x x)) (pow (/ x y) -2) (pow (/ y x) 4) (+ (* (* (* -8 y) y) (/ 1 (* x x))) 1))
4.0ms	y	@	0	((+ 1 (* 8 (pow (/ x y) -2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ x y) -2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* (* -8 y) y) (* -8 y) (/ 1 (* x x)) (pow (/ x y) -2) (pow (/ y x) 4) (+ (* (* (* -8 y) y) (/ 1 (* x x))) 1))
2.0ms	x	@	inf	((+ 1 (* 8 (pow (/ x y) -2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ x y) -2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* (* -8 y) y) (* -8 y) (/ 1 (* x x)) (pow (/ x y) -2) (pow (/ y x) 4) (+ (* (* (* -8 y) y) (/ 1 (* x x))) 1))

simplify161.0ms (2.2%)

Memory

2.0MiB live, 269.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 954×	`lower-fma.f64`
13 954×	`lower-fma.f32`
5 908×	`lower-*.f64`
5 908×	`lower-*.f32`
2 102×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	2440
1	461	2440
2	1439	2212
3	5187	2204
0	8156	2064

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
1
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
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))))
1
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* -8 (pow y 2))
(* -8 (pow y 2))
(* -8 (pow y 2))
(* -8 (pow y 2))
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* 8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 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))))))
(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* -512 (/ (pow y 6) (pow x 6)))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
-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))
(* -8 (pow y 2))
(* -8 (pow y 2))
(* -8 (pow y 2))
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 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 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 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))))))
(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* -512 (/ (pow y 6) (pow x 6)))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
-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))
(* -8 (pow y 2))
(* -8 (pow y 2))
(* -8 (pow y 2))
(* -8 y)
(* -8 y)
(* -8 y)
(* -8 y)
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 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 (/ (pow y 2) (pow x 2)))
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2))
-1
(- (* 1/2 (/ (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))
(* -512 (/ (pow y 6) (pow x 6)))
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6))
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6))
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6))
-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 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
1
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
1
(- (+ 1 (* -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 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
1
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -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 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
1
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
1
(- (+ 1 (* -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 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
1
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -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 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(* -8 (pow y 2))
(.f64 (.f64 #s(literal -8 binary64) y) y)
(* -8 (pow y 2))
(.f64 (.f64 #s(literal -8 binary64) y) y)
(* -8 (pow y 2))
(.f64 (.f64 #s(literal -8 binary64) y) y)
(* -8 (pow y 2))
(.f64 (.f64 #s(literal -8 binary64) y) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(* -8 y)
(*.f64 #s(literal -8 binary64) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(* 8 (/ (pow y 2) (pow x 2)))
(.f64 (.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y x))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y 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) y) (*.f64 x (/.f64 x 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)))))
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(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y 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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))

rewrite180.0ms (2.5%)

Memory

7.9MiB live, 375.2MiB allocated

Rules

6 212×	`lower-fma.f32`
6 206×	`lower-fma.f64`
4 066×	`lower-/.f32`
4 058×	`lower-/.f64`
3 628×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	154
0	51	148
1	197	146
2	1448	114
0	8948	105

Stop Event

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

Counts

11 → 610

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 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) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -8 binary64) y) y)
(*.f64 #s(literal -8 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (/.f64 x y) #s(literal -2 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 134217728 binary64) (pow.f64 (/.f64 y x) #s(literal 18 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 134217728 binary64) (pow.f64 (/.f64 y x) #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 134217728 binary64) (pow.f64 (/.f64 y x) #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 #s(literal -8 binary64) y) y) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -8 binary64) y) (.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (.f64 y (.f64 (pow.f64 x #s(literal -2 binary64)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))))
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (neg.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 y (.f64 #s(literal -8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))))) (/.f64 (.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))))))
(-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 8 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)))

eval104.0ms (1.4%)

Memory: 26.0MiB live, 258.7MiB allocated
Compiler: Compiled 26 393 to 1 278 computations (95.2% saved)

prune85.0ms (1.2%)

Memory

-20.0MiB live, 224.5MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	834	4	838
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	835	9	844

Accuracy

99.8%

Counts

844 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.3%	(/.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)))
✓	48.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
✓	56.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
▶	55.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
▶	55.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
▶	55.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
▶	56.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
✓	55.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	45.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 193 to 110 computations (43% saved)

simplify170.0ms (2.4%)

Memory

-11.1MiB live, 221.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 y x) #s(literal 12 binary64))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
cost-diff	128	(-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
cost-diff	0	(pow.f64 (/.f64 y x) #s(literal 6 binary64))
cost-diff	0	(fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))

Rules

17 820×	`lower-fma.f32`
17 800×	`lower-fma.f64`
3 218×	`lower-*.f32`
3 212×	`lower-*.f64`
2 962×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	742
0	92	742
1	152	742
2	320	742
3	864	742
4	2795	742
0	8050	725

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))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
#s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(/.f64 y x)
y
x
#s(literal 4 binary64)
#s(literal 64 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
#s(literal 8 binary64)
(pow.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
#s(literal -2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))
#s(literal 512 binary64)
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(/.f64 y x)
y
x
#s(literal 6 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 8 binary64)
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))
#s(literal 64 binary64)
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(/.f64 y x)
y
x
#s(literal 6 binary64)
#s(literal -512 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -8 binary64)
(fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
#s(literal 512 binary64)
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 12 binary64))
(/.f64 y x)
y
x
#s(literal 12 binary64)
#s(literal 262144 binary64)
#s(literal -1 binary64)
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 8 binary64)
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))
#s(literal 64 binary64)
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))
#s(literal 512 binary64)
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
#s(literal 6 binary64)

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(/.f64 y x)
y
x
#s(literal 4 binary64)
#s(literal 64 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
#s(literal -2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))
#s(literal 512 binary64)
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(/.f64 y x)
y
x
#s(literal 6 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 8 binary64)
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))
#s(literal 64 binary64)
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(/.f64 y x)
y
x
#s(literal 6 binary64)
#s(literal -512 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
(fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -8 binary64)
(fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
#s(literal 512 binary64)
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 12 binary64))
(/.f64 y x)
y
x
#s(literal 12 binary64)
#s(literal 262144 binary64)
#s(literal -1 binary64)
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 8 binary64)
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))
#s(literal 64 binary64)
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal -1 binary64))
#s(literal 512 binary64)
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
#s(literal 6 binary64)

localize155.0ms (2.1%)

Memory

19.2MiB live, 207.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.18462758791597814	(pow.f64 (/.f64 y x) #s(literal 4 binary64))
accuracy	0.19988251953688402	(pow.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy	23.60944697278295	(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))))
accuracy	28.484556068574165	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
accuracy	12.753906250000002	(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	25.32770667224397	(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
accuracy	25.32770667224397	(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	27.58868449625811	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
accuracy	0.18462758791597814	(pow.f64 (/.f64 y x) #s(literal 4 binary64))
accuracy	0.19988251953688402	(pow.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy	21.69565135000087	(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))
accuracy	28.484556068574165	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
accuracy	0.2676163086106521	(pow.f64 (/.f64 x y) #s(literal -2 binary64))
accuracy	25.33161292224397	(/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
accuracy	27.588699164856173	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
accuracy	28.44091817639191	#s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64))

Samples

110.0ms

256×

valid

Compiler

Compiled 643 to 57 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 25.0ms (37.1% of total)

ival-add: 13.0ms (19.3% of total)

ival-div: 12.0ms (17.8% of total)

ival-pow: 9.0ms (13.3% of total)

ival-pow2: 5.0ms (7.4% of total)

ival-sub: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

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

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

series97.0ms (1.3%)

Memory

-4.7MiB live, 179.4MiB allocated

Counts

21 → 504

Calls

Call 1

Inputs
#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))) (patch (/.f64 #s(approx (+ ( (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))) (patch #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (patch (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (patch (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))))) (patch #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (patch (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 y x) #s(literal 12 binary64)) (patch (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (patch (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #<representation binary64>) () ())
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Outputs
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Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	((+ 1 (* 8 (pow (/ x y) -2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ x y) -2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* 512 (pow (/ y x) 6)) 1) (+ (* (pow (/ y x) 2) 8) (+ (* 64 (pow (/ y x) 4)) 1))) (+ (* 512 (pow (/ y x) 6)) 1) (pow (/ y x) 6) (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2)))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 12) 262144) -1) (* (+ (* (pow (/ y x) 2) 8) (+ (* 64 (pow (/ y x) 4)) 1)) (+ (* 512 (pow (/ y x) 6)) -1))) (+ (* (pow (/ y x) 12) 262144) -1) (pow (/ y x) 12) (pow (/ x y) -2) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2)) (+ (* (pow (/ y x) 4) 64) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2))))
11.0ms	y	@	inf	((+ 1 (* 8 (pow (/ x y) -2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ x y) -2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* 512 (pow (/ y x) 6)) 1) (+ (* (pow (/ y x) 2) 8) (+ (* 64 (pow (/ y x) 4)) 1))) (+ (* 512 (pow (/ y x) 6)) 1) (pow (/ y x) 6) (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2)))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 12) 262144) -1) (* (+ (* (pow (/ y x) 2) 8) (+ (* 64 (pow (/ y x) 4)) 1)) (+ (* 512 (pow (/ y x) 6)) -1))) (+ (* (pow (/ y x) 12) 262144) -1) (pow (/ y x) 12) (pow (/ x y) -2) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2)) (+ (* (pow (/ y x) 4) 64) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2))))
9.0ms	y	@	0	((+ 1 (* 8 (pow (/ x y) -2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ x y) -2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* 512 (pow (/ y x) 6)) 1) (+ (* (pow (/ y x) 2) 8) (+ (* 64 (pow (/ y x) 4)) 1))) (+ (* 512 (pow (/ y x) 6)) 1) (pow (/ y x) 6) (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2)))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 12) 262144) -1) (* (+ (* (pow (/ y x) 2) 8) (+ (* 64 (pow (/ y x) 4)) 1)) (+ (* 512 (pow (/ y x) 6)) -1))) (+ (* (pow (/ y x) 12) 262144) -1) (pow (/ y x) 12) (pow (/ x y) -2) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2)) (+ (* (pow (/ y x) 4) 64) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2))))
7.0ms	x	@	inf	((+ 1 (* 8 (pow (/ x y) -2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ x y) -2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* 512 (pow (/ y x) 6)) 1) (+ (* (pow (/ y x) 2) 8) (+ (* 64 (pow (/ y x) 4)) 1))) (+ (* 512 (pow (/ y x) 6)) 1) (pow (/ y x) 6) (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2)))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 12) 262144) -1) (* (+ (* (pow (/ y x) 2) 8) (+ (* 64 (pow (/ y x) 4)) 1)) (+ (* 512 (pow (/ y x) 6)) -1))) (+ (* (pow (/ y x) 12) 262144) -1) (pow (/ y x) 12) (pow (/ x y) -2) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2)) (+ (* (pow (/ y x) 4) 64) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2))))
5.0ms	y	@	-inf	((+ 1 (* 8 (pow (/ x y) -2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ x y) -2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* 512 (pow (/ y x) 6)) 1) (+ (* (pow (/ y x) 2) 8) (+ (* 64 (pow (/ y x) 4)) 1))) (+ (* 512 (pow (/ y x) 6)) 1) (pow (/ y x) 6) (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2)))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 12) 262144) -1) (* (+ (* (pow (/ y x) 2) 8) (+ (* 64 (pow (/ y x) 4)) 1)) (+ (* 512 (pow (/ y x) 6)) -1))) (+ (* (pow (/ y x) 12) 262144) -1) (pow (/ y x) 12) (pow (/ x y) -2) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2)) (+ (* (pow (/ y x) 4) 64) (/ (- (+ (* (pow (/ y x) 2) -8) 1) (+ (* 512 (pow (/ y x) 6)) (* 64 (pow (/ y x) 4)))) (pow (+ (* (pow (/ y x) 2) -8) 1) 2))))

simplify517.0ms (7.2%)

Memory

12.7MiB live, 288.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20 714×	`lower-fma.f64`
20 714×	`lower-fma.f32`
5 156×	`lower-*.f64`
5 156×	`lower-*.f32`
3 658×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	527	8343
1	1575	7952
2	5602	7288
0	8342	6859

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
1
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
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))))
1
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 1024 (/ (pow y 4) (pow x 6))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 4) (+ (* -8192 (/ (pow y 2) (pow x 8))) (* 1024 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 2))))))
1
(+ 1 (* 512 (/ (pow y 6) (pow x 6))))
(+ 1 (* 512 (/ (pow y 6) (pow x 6))))
(+ 1 (* 512 (/ (pow y 6) (pow x 6))))
(/ (pow y 6) (pow x 6))
(/ (pow y 6) (pow x 6))
(/ (pow y 6) (pow x 6))
(/ (pow y 6) (pow x 6))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 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) (- (* 1024 (/ (pow y 4) (pow x 6))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 4) (+ (* 1572864 (/ (pow y 6) (pow x 12))) (* 1024 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 2))))))
1
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 1024 (/ (pow y 4) (pow x 6))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 4) (+ (* -8192 (/ (pow y 2) (pow x 8))) (* 1024 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 2))))))
-1
-1
(- (* 262144 (/ (pow y 12) (pow x 12))) 1)
(- (* 262144 (/ (pow y 12) (pow x 12))) 1)
(/ (pow y 12) (pow x 12))
(/ (pow y 12) (pow x 12))
(/ (pow y 12) (pow x 12))
(/ (pow y 12) (pow x 12))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
1
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (+ (* -1024 (/ (pow y 4) (pow x 6))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* (pow y 4) (- (* -16384 (/ (pow y 2) (pow x 8))) (* 1024 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 2))))))
1
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (+ (* -1024 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* 8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 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))))))
(* -8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* -512 (/ (pow y 6) (pow x 6)))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
-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) (- (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (* 8 (/ 1 (pow x 2)))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ (* 1/64 (/ (pow x 4) (pow y 6))) (* 8 (/ 1 (pow x 2)))) (+ (* -1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* -1/64 (/ (pow x 4) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))))))))
(* 512 (/ (pow y 6) (pow x 6)))
(* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (/ 1 (pow y 6))))
(* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (/ 1 (pow y 6))))
(* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (/ 1 (pow y 6))))
(/ (pow y 6) (pow x 6))
(/ (pow y 6) (pow x 6))
(/ (pow y 6) (pow x 6))
(/ (pow y 6) (pow x 6))
(* -512 (/ (pow y 6) (pow x 6)))
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2)))))))
(* (pow y 6) (- (* -1 (/ (+ (* 64 (/ 1 (pow x 4))) (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (pow y 2))) (* 512 (/ 1 (pow x 6)))))
(* (pow y 6) (- (/ 1 (pow y 6)) (+ (* 512 (/ 1 (pow x 6))) (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 64 (* (pow x 4) (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))))))
(* -8 (/ (pow y 2) (pow x 2)))
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(* (pow y 2) (- (* -1 (/ (+ (* 1/8 (pow x 2)) (* 3/8 (pow x 2))) (pow y 4))) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(* (pow y 2) (- (* 1/64 (/ (pow x 4) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (+ (* -1/2 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (+ (* 3/64 (/ (pow x 4) (pow y 6))) (+ (* 1/8 (/ (* (pow x 2) (+ (* 1/8 (pow x 2)) (* 3/8 (pow x 2)))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (+ (* 3/8 (/ (pow x 2) (pow y 4))) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))))))))
(* -512 (/ (pow y 6) (pow x 6)))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
-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) (- (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (* 8 (/ 1 (pow x 2)))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* -1/32 (pow x 4))) (pow y 6))) (* 8 (/ 1 (pow x 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))))))
(* 262144 (/ (pow y 12) (pow x 12)))
(* 262144 (/ (pow y 12) (pow x 12)))
(* (pow y 12) (- (* 262144 (/ 1 (pow x 12))) (/ 1 (pow y 12))))
(* (pow y 12) (- (* 262144 (/ 1 (pow x 12))) (/ 1 (pow y 12))))
(/ (pow y 12) (pow x 12))
(/ (pow y 12) (pow x 12))
(/ (pow y 12) (pow x 12))
(/ (pow y 12) (pow x 12))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(* -8 (/ (pow y 2) (pow x 2)))
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (* 3 (/ 1 (pow y 2))))))
(* (pow y 2) (- (* -3/4 (/ (pow x 2) (pow y 4))) (+ (* 8 (/ 1 (pow x 2))) (* 3 (/ 1 (pow y 2))))))
(* (pow y 2) (- (* 1/64 (/ (pow x 4) (pow y 6))) (+ (* -3/64 (/ (pow x 4) (pow y 6))) (+ (* 3/16 (/ (pow x 4) (pow y 6))) (+ (* 3/4 (/ (pow x 2) (pow y 4))) (+ (* 8 (/ 1 (pow x 2))) (* 3 (/ 1 (pow y 2)))))))))
(* 64 (/ (pow y 4) (pow x 4)))
(* (pow y 4) (- (* 64 (/ 1 (pow x 4))) (* 8 (/ 1 (* (pow x 2) (pow y 2))))))
(* (pow y 4) (+ (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 3 (/ 1 (pow y 2)))) (pow y 2))) (* 64 (/ 1 (pow x 4)))))
(* (pow y 4) (- (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 64 (/ 1 (pow x 4))))) (+ (/ 3 (pow y 4)) (/ 8 (* (pow x 2) (pow y 2))))))
(* 8 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 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)))))
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-1
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1
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1
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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 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
1
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -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 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 512 (/ (pow y 6) (pow x 6)))) (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* -8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))))
1
(+ 1 (* 512 (/ (pow y 6) (pow x 6))))
(+ 1 (* 512 (/ (pow y 6) (pow x 6))))
(+ 1 (* 512 (/ (pow y 6) (pow x 6))))
(/ (pow y 6) (pow x 6))
(/ (pow y 6) (pow x 6))
(/ (pow y 6) (pow x 6))
(/ (pow y 6) (pow x 6))
1
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* -8 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -8 (/ (pow y 2) (pow x 2))))) (* 64 (/ (pow y 4) (pow x 4))))
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 (* -16 (/ (pow y 2) (pow x 2)))) (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -256 (/ (pow y 4) (pow x 4))) (+ (* -16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) (+ (* -128 (/ (pow y 4) (pow x 4))) (+ (* -8 (/ (pow y 2) (pow x 2))) (/ (* (- (* -16 (pow y 2)) (* -8 (pow y 2))) (- (* -8 (pow y 2)) (* -16 (pow y 2)))) (pow x 4)))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -256 (/ (pow y 4) (pow x 4))) (+ (* -16 (/ (pow y 2) (pow x 2))) (+ (* 16 (/ (* (pow y 2) (+ (* -256 (pow y 4)) (* 64 (pow y 4)))) (pow x 6))) (+ (* 64 (/ (pow y 4) (pow x 4))) (+ (* 512 (/ (pow y 6) (pow x 6))) (* 2048 (/ (pow y 6) (pow x 6)))))))))) (+ (* -128 (/ (pow y 4) (pow x 4))) (+ (* -8 (/ (pow y 2) (pow x 2))) (+ (* 8 (/ (+ (* -256 (pow y 6)) (* 64 (pow y 6))) (pow x 6))) (+ (/ (* (- (* -128 (pow y 4)) (+ (* -256 (pow y 4)) (* 64 (pow y 4)))) (- (* -16 (pow y 2)) (* -8 (pow y 2)))) (pow x 6)) (+ (/ (* (- (* -16 (pow y 2)) (* -8 (pow y 2))) (- (* -8 (pow y 2)) (* -16 (pow y 2)))) (pow x 4)) (/ (* (- (* -8 (pow y 2)) (* -16 (pow y 2))) (- (+ (* -256 (pow y 4)) (* 64 (pow y 4))) (+ (* -128 (pow y 4)) (* (- (* -16 (pow y 2)) (* -8 (pow y 2))) (- (* -8 (pow y 2)) (* -16 (pow y 2))))))) (pow x 6))))))))
1
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -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 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -1024 (pow y 6)) (* -8 (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
-1
-1
(- (* 262144 (/ (pow y 12) (pow x 12))) 1)
(- (* 262144 (/ (pow y 12) (pow x 12))) 1)
(/ (pow y 12) (pow x 12))
(/ (pow y 12) (pow x 12))
(/ (pow y 12) (pow x 12))
(/ (pow y 12) (pow x 12))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
(/ (pow y 4) (pow x 4))
1
(- (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (* -16 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* -8 (/ (pow y 2) (pow x 2))))) (+ (* -16 (/ (* (pow y 2) (- (* -8 (pow y 2)) (* -16 (pow y 2)))) (pow x 4))) (+ (* -16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* -8 (/ (pow y 2) (pow x 2)))))) (+ (* -16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* -16 (* (pow y 2) (- (* -8 (pow y 2)) (* -16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* -16 (/ (* (pow y 2) (- (* -8 (pow y 2)) (* -16 (pow y 2)))) (pow x 4))) (+ (* -16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* -8 (pow y 2)) (* -16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4))))))))
1
(- (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (* -16 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -128 (/ (pow y 4) (pow x 4))) (* -8 (/ (pow y 2) (pow x 2))))) (+ (* -256 (/ (pow y 4) (pow x 4))) (+ (* -16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(- (+ 1 (+ (* -128 (/ (pow y 4) (pow x 4))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* 8 (/ (+ (* -256 (pow y 6)) (* 64 (pow y 6))) (pow x 6)))))) (+ (* -256 (/ (pow y 4) (pow x 4))) (+ (* -16 (/ (pow y 2) (pow x 2))) (+ (* 16 (/ (* (pow y 2) (+ (* -256 (pow y 4)) (* 64 (pow y 4)))) (pow x 6))) (+ (* 64 (/ (pow y 4) (pow x 4))) (+ (* 512 (/ (pow y 6) (pow x 6))) (* 2048 (/ (pow y 6) (pow x 6)))))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 (*.f64 y y) 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) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -128 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.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) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -128 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.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) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1024 (/ (pow y 4) (pow x 6))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1024 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 4) (+ (* -8192 (/ (pow y 2) (pow x 8))) (* 1024 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal -8192 binary64) (/.f64 #s(literal 1024 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* 512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* 512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(/ (pow y 6) (pow x 6))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (pow y 6) (pow x 6))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (pow y 6) (pow x 6))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (pow y 6) (pow x 6))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal -64 binary64) (.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -512 binary64) (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (.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) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -128 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.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) y) x) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1024 (/ (pow y 4) (pow x 6))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1024 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 4) (+ (* 1572864 (/ (pow y 6) (pow x 12))) (* 1024 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1572864 binary64) (/.f64 #s(literal 1024 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
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(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
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1
#s(literal 1 binary64)
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
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(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -128 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.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))))
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(+ 1 (* (pow y 2) (- (* 1024 (/ (pow y 4) (pow x 6))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1024 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 4) (+ (* -8192 (/ (pow y 2) (pow x 8))) (* 1024 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal -8192 binary64) (/.f64 #s(literal 1024 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(- (* 262144 (/ (pow y 12) (pow x 12))) 1)
(fma.f64 (pow.f64 y #s(literal 12 binary64)) (/.f64 #s(literal 262144 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64))
(- (* 262144 (/ (pow y 12) (pow x 12))) 1)
(fma.f64 (pow.f64 y #s(literal 12 binary64)) (/.f64 #s(literal 262144 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64))
(/ (pow y 12) (pow x 12))
(/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))
(/ (pow y 12) (pow x 12))
(/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))
(/ (pow y 12) (pow x 12))
(/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))
(/ (pow y 12) (pow x 12))
(/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 y x) (/.f64 y x))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 y x) (/.f64 y x))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 y x) (/.f64 y x))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 y x) (/.f64 y x))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 y x) (/.f64 y x))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 y x) (/.f64 y x))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 y x) (/.f64 y x))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 y x) (/.f64 y x))
(/ (pow y 4) (pow x 4))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (pow y 4) (pow x 4))
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(/ (pow y 4) (pow x 4))
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(/ (pow y 4) (pow x 4))
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1
#s(literal 1 binary64)
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
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(- (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (* -16 (/ (pow y 2) (pow x 2))))
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(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* -8 (/ (pow y 2) (pow x 2))))) (+ (* -16 (/ (* (pow y 2) (- (* -8 (pow y 2)) (* -16 (pow y 2)))) (pow x 4))) (+ (* -16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(-.f64 (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (/.f64 y x) (fma.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -16 binary64) (+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 y x) (/.f64 y x))) (.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* -8 (/ (pow y 2) (pow x 2)))))) (+ (* -16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* -16 (* (pow y 2) (- (* -8 (pow y 2)) (* -16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* -16 (/ (* (pow y 2) (- (* -8 (pow y 2)) (* -16 (pow y 2)))) (pow x 4))) (+ (* -16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* -8 (pow y 2)) (* -16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4))))))))
(-.f64 (fma.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (/.f64 y x) (fma.f64 (/.f64 #s(literal -512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -16 binary64) (+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 y x) (/.f64 y x))) (.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 8 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 64 binary64))))
1
#s(literal 1 binary64)
(- (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (* -16 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -128 (/ (pow y 4) (pow x 4))) (* -8 (/ (pow y 2) (pow x 2))))) (+ (* -256 (/ (pow y 4) (pow x 4))) (+ (* -16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -128 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -16 binary64) y) x) (/.f64 y x) (*.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(- (+ 1 (+ (* -128 (/ (pow y 4) (pow x 4))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* 8 (/ (+ (* -256 (pow y 6)) (* 64 (pow y 6))) (pow x 6)))))) (+ (* -256 (/ (pow y 4) (pow x 4))) (+ (* -16 (/ (pow y 2) (pow x 2))) (+ (* 16 (/ (* (pow y 2) (+ (* -256 (pow y 4)) (* 64 (pow y 4)))) (pow x 6))) (+ (* 64 (/ (pow y 4) (pow x 4))) (+ (* 512 (/ (pow y 6) (pow x 6))) (* 2048 (/ (pow y 6) (pow x 6)))))))))
(-.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -128 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 #s(literal -8 binary64) y) x) (/.f64 y x) (/.f64 (.f64 (.f64 #s(literal -192 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -256 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -16 binary64) (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -192 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 2560 binary64)) (pow.f64 x #s(literal 6 binary64))))))))

rewrite455.0ms (6.3%)

Memory

-22.8MiB live, 331.7MiB allocated

Rules

8 000×	`lower-fma.f32`
7 980×	`lower-fma.f64`
6 032×	`lower-*.f32`
6 026×	`lower-*.f64`
3 592×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	514
0	92	496
1	386	494
2	3466	430
0	10146	421

Stop Event

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

Counts

21 → 827

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
#s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 12 binary64))
(pow.f64 (/.f64 x y) #s(literal -2 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(approx (+ ( (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))))
(.f64 (/.f64 #s(approx (+ ( (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))))
(.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ ( (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (+ ( (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)))
(.f64 (neg.f64 #s(approx (+ ( (pow (/ y x) 6) -512) 1) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 #s(approx (+ ( (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
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(fma.f64 #s(literal -8 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 y x) #s(literal -8 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 64 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal -8 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 8 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 #s(literal 64 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 #s(literal 8 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(-.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64))) (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))))
(+.f64 (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))

eval511.0ms (7.1%)

Memory: -41.5MiB live, 433.3MiB allocated
Compiler: Compiled 83 649 to 4 368 computations (94.8% saved)

prune222.0ms (3.1%)

Memory

-15.8MiB live, 426.2MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1 933	10	1 943
Fresh	0	0	0
Picked	4	0	4
Done	0	5	5
Total	1 937	15	1 952

Accuracy

99.8%

Counts

1 952 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.3%	(/.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)))
✓	48.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (.f64 #s(literal -8 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
✓	56.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
	55.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))
	55.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
	55.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))))
	55.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64)))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
	55.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
	55.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
	56.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 12) 262144) -1) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
	56.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64)))))
	55.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
	55.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))))
✓	55.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	45.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 1 249 to 377 computations (69.8% saved)

regimes49.0ms (0.7%)

Memory

-18.1MiB live, 60.5MiB allocated

Counts

21 → 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) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y 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)))
(/.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))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 8 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 12) 262144) -1) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (+ (* (pow (/ y x) 6) -512) 1) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64)))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 512 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))

Outputs

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

Calls

5 calls:

20.0ms	(/.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)))
10.0ms	x
7.0ms	y
6.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
6.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
82.7%	3	`x`
77.2%	2	`y`
77.8%	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)`
77.2%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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) y) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y 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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.2%	2	`x`
80.2%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
79.8%	2	`x`
79.8%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x 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
45.4%	1	`y`
45.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
45.4%	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)))`
45.4%	1	`x`
45.4%	1	`(*.f64 x x)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.7126049725645677e+194	3.5206674323774073e+195
0.0ms	8.014237267473352e-115	4.6043753051761636e-113

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.014237267473352e-115	4.6043753051761636e-113

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch12.0ms (0.2%)

Memory

-19.1MiB live, 18.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	2.173004004680765e-92	8.497882193417498e-90

Samples

5.0ms

96×

valid

Compiler

Compiled 82 to 62 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (35.9% of total)

ival-mult: 1.0ms (35.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify24.0ms (0.3%)

Memory

18.8MiB live, 56.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	206
1	40	206

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (.f64 x x) #s(literal 499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736 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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 3302638007025703/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 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 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (.f64 x x) #s(literal 499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736 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 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (.f64 x x) #s(literal 499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736 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 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 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 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 3302638007025703/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 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))

soundness459.0ms (6.4%)

Memory

-21.7MiB live, 263.0MiB allocated

Rules

18 822×	`lower-fma.f64`
18 822×	`lower-fma.f32`
7 268×	`lower-*.f64`
7 268×	`lower-*.f32`
4 732×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	990
1	321	990
2	960	844
3	4060	836
0	8249	766
0	9	43
0	15	43
1	54	43
2	397	43
3	6323	43
0	8488	39

Stop Event

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

Compiler

Compiled 187 to 73 computations (61% saved)

preprocess92.0ms (1.3%)

Memory

-1.0MiB live, 122.5MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 534 to 204 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.1s (15.9%)

explain254.0ms (3.5%)

preprocess183.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.7%)

localize47.0ms (0.7%)

series10.0ms (0.1%)

simplify185.0ms (2.6%)

rewrite191.0ms (2.7%)

eval123.0ms (1.7%)

prune86.0ms (1.2%)

simplify181.0ms (2.5%)

localize61.0ms (0.8%)

series19.0ms (0.3%)

simplify241.0ms (3.3%)

rewrite348.0ms (4.8%)

eval184.0ms (2.6%)

prune245.0ms (3.4%)

simplify225.0ms (3.1%)

localize80.0ms (1.1%)

series35.0ms (0.5%)

simplify161.0ms (2.2%)

rewrite180.0ms (2.5%)

eval104.0ms (1.4%)

prune85.0ms (1.2%)

simplify170.0ms (2.4%)

localize155.0ms (2.1%)

series97.0ms (1.3%)

simplify517.0ms (7.2%)

rewrite455.0ms (6.3%)

eval511.0ms (7.1%)

prune222.0ms (3.1%)

regimes49.0ms (0.7%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

simplify24.0ms (0.3%)

soundness459.0ms (6.4%)

preprocess92.0ms (1.3%)

end0.0ms (0%)

Profiling