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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

sample1.0s (19.5%)

Memory

-51.8MiB live, 1 685.1MiB allocated

Samples

765.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 565.0ms

ival-mult: 417.0ms (73.8% of total)

ival-div: 53.0ms (9.4% of total)

ival-sub: 47.0ms (8.3% of total)

ival-add: 35.0ms (6.2% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain125.0ms (2.3%)

Memory

-25.6MiB live, 220.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
109	-	-	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
13	-	-	`(-.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	100	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	52
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	100
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	52
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	100
↳	`(*.f64 x x)`	overflow	61
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	13	0
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	52
`/.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	9	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	57
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	9
↳	`(*.f64 x x)`	underflow	48
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	57
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	9
↳	`(*.f64 x x)`	underflow	48

Confusion

	Predicted +	Predicted -
+	109	0
-	0	147

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	147
1	96
2	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 127 to 31 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 11.0ms (58.4% of total)

ival-div: 3.0ms (15.9% of total)

ival-sub: 2.0ms (10.6% of total)

ival-add: 2.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess187.0ms (3.5%)

Memory

24.6MiB live, 98.0MiB allocated

Algorithm

1×	egg-herbie

Rules

984×	`times-frac`
880×	`lower-fma.f64`
880×	`lower-fma.f32`
784×	`distribute-lft-in`
762×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 21 to 9 computations (57.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.4%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Compiler

Compiled 21 to 9 computations (57.1% saved)

simplify54.0ms (1%)

Memory

3.9MiB live, 43.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

880×	`lower-fma.f64`
880×	`lower-fma.f32`
738×	`times-frac`
592×	`lower-*.f32`
586×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.7%)

Memory

-16.1MiB live, 69.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	3.003889736641647	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	26.718117187021985	(/.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

30.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

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

ival-mult: 5.0ms (54.8% of total)

ival-sub: 1.0ms (11% of total)

ival-div: 1.0ms (11% of total)

ival-add: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

6 calls:

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

simplify188.0ms (3.5%)

Memory

3.1MiB live, 197.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	954
1	319	954
2	956	808
3	4078	800
0	8264	730

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite444.0ms (8.3%)

Memory

0.4MiB live, 193.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
0	15	40
1	54	40
2	397	40
3	6323	40
0	8488	36

Stop Event

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

Counts

4 → 602

Calls

Call 1

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

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

eval169.0ms (3.2%)

Memory: -11.2MiB live, 112.4MiB allocated
Compiler: Compiled 36 806 to 1 537 computations (95.8% saved)

prune137.0ms (2.6%)

Memory

3.3MiB live, 126.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

708 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.4%	(/.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)))
▶	57.4%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
▶	45.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
▶	50.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
▶	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	49.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 146 to 86 computations (41.1% saved)

simplify312.0ms (5.8%)

Memory

9.6MiB live, 124.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2 800×	`lower-fma.f32`
2 794×	`lower-fma.f64`
2 224×	`lower-*.f32`
2 212×	`lower-*.f64`
940×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	215
0	49	211
1	85	211
2	157	211
3	263	211
4	399	211
5	546	211
6	724	211
7	1078	211
8	2409	211
9	4157	211
10	4735	211
11	4883	211
12	4927	211
13	4943	211
14	4947	211
15	5213	211
16	5329	211
17	5329	211
18	5507	211
19	5667	211
20	5809	211
21	5816	211
22	5972	211
23	6210	211
24	6242	211
25	6242	211
0	6242	205

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

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

localize65.0ms (1.2%)

Memory

-18.6MiB live, 137.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.21604038145520205	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
accuracy	9.89237635710298	(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))
accuracy	31.503715975971787	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
accuracy	0.7020260712438335	(/.f64 #s(literal -8 binary64) (*.f64 x x))
accuracy	1.4457748660555103	(fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
accuracy	5.734314281407454	(.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y)
accuracy	30.25236012892116	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
accuracy	31.227332346385886	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy	32.44143769227157	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 4 binary64) y)
accuracy	3.003889736641647	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	26.718117187021985	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))

Samples

47.0ms

256×

valid

Compiler

Compiled 195 to 27 computations (86.2% saved)

Precisions

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

ival-mult: 17.0ms (58.3% of total)

ival-div: 6.0ms (20.6% of total)

ival-add: 4.0ms (13.7% of total)

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

exact: 1.0ms (3.4% of total)

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

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

series25.0ms (0.5%)

Memory

16.1MiB live, 53.6MiB allocated

Counts

15 → 288

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

Calls

6 calls:

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

simplify255.0ms (4.8%)

Memory

-19.2MiB live, 233.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	3601
1	333	3318
2	999	3148
3	4178	3062
0	8261	2838

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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

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

rewrite205.0ms (3.9%)

Memory

8.2MiB live, 363.4MiB allocated

Rules

10 678×	`lower-fma.f32`
10 672×	`lower-fma.f64`
6 542×	`lower-*.f32`
6 530×	`lower-*.f64`
3 756×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	180
0	49	176
1	172	176
2	953	176
0	8586	170

Stop Event

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

Counts

15 → 604

Calls

Call 1

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

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

eval228.0ms (4.3%)

Memory: 4.5MiB live, 401.2MiB allocated
Compiler: Compiled 27 911 to 1 660 computations (94.1% saved)

prune92.0ms (1.7%)

Memory

-21.7MiB live, 261.0MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	950	2	952
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	953	5	958

Accuracy

100.0%

Counts

958 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.4%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
▶	49.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))
✓	50.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
✓	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	49.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 53 to 33 computations (37.7% saved)

simplify163.0ms (3.1%)

Memory

17.9MiB live, 93.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1 840×	`lower-fma.f32`
1 834×	`lower-fma.f64`
1 408×	`lower-*.f32`
1 398×	`lower-*.f64`
590×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	110
0	35	109
1	63	108
2	112	108
3	189	108
4	304	108
5	447	108
6	628	108
7	909	108
8	1839	108
9	3176	108
10	3466	108
11	3531	108
12	3553	108
13	3565	108
14	3569	108
15	3877	108
16	4005	108
17	4005	108
18	4005	108
19	4013	108
20	4013	108
0	4013	108

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize98.0ms (1.8%)

Memory

6.7MiB live, 96.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 4 binary64) y)
accuracy	3.003889736641647	(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
accuracy	26.718117187021985	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
accuracy	0.21604038145520205	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
accuracy	1.4756662433212182	(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))
accuracy	5.062171993631608	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x)
accuracy	31.503715975971787	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))

Samples

71.0ms

256×

valid

Compiler

Compiled 106 to 25 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sub: 16.0ms (43.5% of total)

ival-mult: 12.0ms (32.7% of total)

ival-div: 4.0ms (10.9% of total)

ival-add: 4.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-3.0MiB live, 34.0MiB allocated

Counts

9 → 168

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.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))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -8 (/ (pow y 2) (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) 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 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) 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 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (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))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (pow x 2) (pow y 2))) 1) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -4 (pow y 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) 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 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) 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 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) 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 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (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 1 (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) 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 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) 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 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) 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 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) 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 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) 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 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (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
4.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ 1/2 (* y y)) x) x) -1) (* (/ 1/2 (* y y)) x) (/ 1/2 (* y y)) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* (* y y) -4) (* x x)) (* y y) (* x x) (* 4 y))
2.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ 1/2 (* y y)) x) x) -1) (* (/ 1/2 (* y y)) x) (/ 1/2 (* y y)) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* (* y y) -4) (* x x)) (* y y) (* x x) (* 4 y))
2.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ 1/2 (* y y)) x) x) -1) (* (/ 1/2 (* y y)) x) (/ 1/2 (* y y)) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* (* y y) -4) (* x x)) (* y y) (* x x) (* 4 y))
1.0ms	x	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ 1/2 (* y y)) x) x) -1) (* (/ 1/2 (* y y)) x) (/ 1/2 (* y y)) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* (* y y) -4) (* x x)) (* y y) (* x x) (* 4 y))
1.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* (/ 1/2 (* y y)) x) x) -1) (* (/ 1/2 (* y y)) x) (/ 1/2 (* y y)) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* (* y y) -4) (* x x)) (* y y) (* x x) (* 4 y))

simplify218.0ms (4.1%)

Memory

-4.7MiB live, 268.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 818×	`lower-fma.f64`
19 818×	`lower-fma.f32`
7 218×	`lower-*.f64`
7 218×	`lower-*.f32`
2 894×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1878
1	319	1754
2	959	1622
3	4055	1558
0	8460	1454

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

rewrite230.0ms (4.3%)

Memory

12.7MiB live, 372.5MiB allocated

Rules

11 960×	`lower-fma.f32`
11 954×	`lower-fma.f64`
6 174×	`lower-*.f32`
6 164×	`lower-*.f64`
3 286×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	86
0	35	85
1	144	84
2	911	84
0	8801	84

Stop Event

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

Counts

9 → 492

Calls

Call 1

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

eval87.0ms (1.6%)

Memory: 14.4MiB live, 250.7MiB allocated
Compiler: Compiled 24 007 to 1 393 computations (94.2% saved)

prune70.0ms (1.3%)

Memory

-0.8MiB live, 199.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	689	0	689
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	689	5	694

Accuracy

100.0%

Counts

694 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
✓	49.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))
✓	50.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
✓	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	49.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 163 to 64 computations (60.7% saved)

regimes17.0ms (0.3%)

Memory

-4.1MiB live, 34.5MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
85.2%	3	`x`
86.6%	3	`y`
80.4%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
85.2%	3	`(*.f64 x x)`
86.6%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
86.6%	3	`y`
86.6%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes38.0ms (0.7%)

Memory

-23.0MiB live, 15.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

30.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
79.1%	2	`x`
79.1%	2	`(*.f64 x x)`
81.1%	2	`y`
81.1%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB 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) (*.f64 x x)) y) y #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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
49.3%	1	`x`
49.3%	1	`(*.f64 x x)`
49.3%	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)))`
49.3%	1	`y`
49.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.202283952467573e+290	4.3727968118108804e+294
0.0ms	8.409804132294567e-136	3.205479123204786e-135

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.202283952467573e+290	4.3727968118108804e+294
0.0ms	8.409804132294567e-136	3.205479123204786e-135

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.205479123204786e-135	5.670919561988018e-135

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.205479123204786e-135	5.670919561988018e-135

Compiler

Compiled 20 to 14 computations (30% saved)

simplify43.0ms (0.8%)

Memory

-50.1MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	298
1	50	298

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1636695303948071/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1636695303948071/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 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 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1636695303948071/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 1636695303948071/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1636695303948071/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 1636695303948071/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 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 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 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 1/2 binary64) (.f64 y y)) x) x #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 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))

soundness689.0ms (12.9%)

Memory

19.2MiB live, 408.8MiB allocated

Rules

18 822×	`lower-fma.f64`
18 822×	`lower-fma.f32`
10 678×	`lower-fma.f32`
10 672×	`lower-fma.f64`
7 268×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	954
1	319	954
2	956	808
3	4078	800
0	8264	730
0	31	180
0	49	176
1	172	176
2	953	176
0	8586	170
0	9	40
0	15	40
1	54	40
2	397	40
3	6323	40
0	8488	36

Stop Event

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

Compiler

Compiled 389 to 146 computations (62.5% saved)

preprocess71.0ms (1.3%)

Memory

6.6MiB live, 84.1MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 658 to 220 computations (66.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.0s (19.5%)

explain125.0ms (2.3%)

preprocess187.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify54.0ms (1%)

localize36.0ms (0.7%)

series9.0ms (0.2%)

simplify188.0ms (3.5%)

rewrite444.0ms (8.3%)

eval169.0ms (3.2%)

prune137.0ms (2.6%)

simplify312.0ms (5.8%)

localize65.0ms (1.2%)

series25.0ms (0.5%)

simplify255.0ms (4.8%)

rewrite205.0ms (3.9%)

eval228.0ms (4.3%)

prune92.0ms (1.7%)

simplify163.0ms (3.1%)

localize98.0ms (1.8%)

series16.0ms (0.3%)

simplify218.0ms (4.1%)

rewrite230.0ms (4.3%)

eval87.0ms (1.6%)

prune70.0ms (1.3%)

regimes17.0ms (0.3%)

regimes6.0ms (0.1%)

regimes38.0ms (0.7%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify43.0ms (0.8%)

soundness689.0ms (12.9%)

preprocess71.0ms (1.3%)

end0.0ms (0%)

Profiling