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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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)

sample939.0ms (14.4%)

Memory

20.2MiB live, 1 152.2MiB allocated

Samples

574.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-mult: 163.0ms (42% of total)

ival-div: 133.0ms (34.2% of total)

ival-sub: 46.0ms (11.8% of total)

ival-add: 33.0ms (8.5% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.3% of total)

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

Bogosity

explain206.0ms (3.2%)

Memory

6.3MiB live, 238.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
18	-	-	`(-.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	114	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	66
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	114
↳	`(*.f64 x x)`	overflow	66
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	66
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	114
↳	`(*.f64 x x)`	overflow	66
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	18	0
↳	`(*.f64 x x)`	overflow	66
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	66
`/.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	16	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	67
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	16
↳	`(*.f64 x x)`	underflow	64
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	67
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	16
↳	`(*.f64 x x)`	underflow	64

Confusion

	Predicted +	Predicted -
+	130	0
-	0	126

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	0	0	126

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	126
1	112
2	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 127 to 31 computations (75.6% saved)

Precisions

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

ival-mult: 10.0ms (54.8% of total)

ival-div: 3.0ms (16.4% of total)

ival-sub: 2.0ms (11% of total)

ival-add: 2.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

preprocess214.0ms (3.3%)

Memory

-22.9MiB live, 115.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 21 to 9 computations (57.1% saved)

eval2.0ms (0%)

Memory: 5.0MiB live, 5.0MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Compiler

Compiled 21 to 9 computations (57.1% saved)

simplify63.0ms (1%)

Memory

-7.4MiB live, 74.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.7%)

Memory

22.0MiB live, 90.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	4.050762672471853	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy	31.89852604910454	(/.f64 (-.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

24.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 5.0ms (39.2% of total)

ival-mult: 4.0ms (31.4% of total)

ival-div: 2.0ms (15.7% of total)

ival-add: 1.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

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

Calls

21 calls:

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

simplify365.0ms (5.6%)

Memory

1.8MiB live, 611.5MiB 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	948
1	319	894
2	960	808
3	4074	800
0	8265	730

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite569.0ms (8.7%)

Memory

-95.1MiB live, 571.4MiB 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 x x) (.f64 (*.f64 y y) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (*.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (neg.f64 (.f64 (.f64 y y) (/.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal -4 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -4 binary64))))
(+.f64 (neg.f64 (neg.f64 (.f64 x x))) (.f64 (*.f64 y y) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 y (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (*.f64 x x))))))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 y (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x))))) (.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (.f64 (.f64 y (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x)))) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 y (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x)))) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -4 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
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(.f64 (/.f64 (.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 16 binary64)))))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (*.f64 y y) #s(literal -4 binary64))))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x)) (.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x)))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 16 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 16 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (neg.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64))))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (fma.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64))) (.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (-.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

eval83.0ms (1.3%)

Memory: 35.2MiB live, 222.8MiB allocated
Compiler: Compiled 36 806 to 1 535 computations (95.8% saved)

prune127.0ms (1.9%)

Memory

-30.3MiB live, 209.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	700	7	707
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	701	7	708

Accuracy

99.1%

Counts

708 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.6%	(fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))))
▶	49.1%	(/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
	48.7%	(.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))
▶	46.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)))
▶	46.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)))
▶	47.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	52.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 204 to 116 computations (43.1% saved)

simplify317.0ms (4.9%)

Memory

7.4MiB live, 178.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	209
0	46	206
1	84	201
2	156	201
3	265	201
4	390	201
5	546	201
6	719	201
7	1074	201
8	2422	201
9	4183	201
10	4765	201
11	4916	201
12	4960	201
13	4976	201
14	4980	201
15	5246	201
16	5362	201
17	5362	201
18	5532	201
19	5699	201
20	5831	201
21	5838	201
22	5994	201
23	6223	201
24	6255	201
25	6255	201
0	6255	201

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (1.8%)

Memory

13.9MiB live, 175.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.017910009768442016	(.f64 (.f64 y y) #s(literal -4 binary64))
accuracy	2.257787728450042	(fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64)))
accuracy	31.89852604910454	(/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.3797658001003269	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
accuracy	12.730522042328294	(fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64))
accuracy	29.526382285854158	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)))
accuracy	0.021452551157537792	(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
accuracy	2.1907764949550272	(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
accuracy	7.772437688574116	(/.f64 y (*.f64 x x))
accuracy	32.34289801700002	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)))
accuracy	33.66628355496294	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy	30.640258818703934	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Samples

65.0ms

256×

valid

Compiler

Compiled 191 to 29 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 37.0ms (73.3% of total)

ival-div: 6.0ms (11.9% of total)

ival-add: 5.0ms (9.9% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

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

series26.0ms (0.4%)

Memory

-3.7MiB live, 37.7MiB allocated

Counts

14 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* (* x x) (/ 1/2 (* y y))) -1)
1.0ms	y	@	inf	(* (/ y (* x x)) -8)
1.0ms	y	@	inf	(+ (* y (* (/ y (* x x)) -8)) 1)
1.0ms	y	@	0	(* (/ y (* x x)) -8)
0.0ms	x	@	0	(* (/ y (* x x)) -8)

simplify318.0ms (4.9%)

Memory

-8.6MiB live, 502.8MiB 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	123	4126
1	328	3576
2	995	3166
3	4188	3086
0	8257	2862

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

rewrite239.0ms (3.7%)

Memory

18.6MiB live, 331.5MiB allocated

Rules

6 436×	`lower-fma.f32`
6 428×	`lower-fma.f64`
4 566×	`lower-*.f32`
4 556×	`lower-*.f64`
3 894×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	175
0	46	172
1	185	167
2	1303	167
0	8701	167

Stop Event

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

Counts

14 → 480

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

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64))))
(+.f64 (.f64 y (.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))))) (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))))))
(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) y #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -8 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 y #s(literal -8 binary64)) (/.f64 y (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 y #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y #s(literal -8 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
(neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -512 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))))))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) #s(literal -1 binary64)) (fma.f64 (/.f64 y (.f64 x x)) (*.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -512 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) #s(literal -1 binary64))) (fma.f64 y (.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 y y) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -512 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (*.f64 x x))))))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -512 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 y y) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64))))))
(/.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) #s(literal -1 binary64)) (fma.f64 y (.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -512 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -512 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 y y) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) #s(literal -1 binary64))) (fma.f64 (/.f64 y (.f64 x x)) (*.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64)) (fma.f64 y (.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -512 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 y (.f64 x x)) (*.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (*.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 64 binary64) (.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x))))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)))))
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(.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
(.f64 (fma.f64 (.f64 x x) (neg.f64 (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64)))))))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))) (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))) (.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))))
(.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))))) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))))) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))))) (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))))) (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -16 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -16 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -16 binary64))) (fma.f64 (.f64 x x) (neg.f64 (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64))))) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 (.f64 x x) (neg.f64 (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64))))) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y y) #s(literal -4 binary64) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -16 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)))))) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -16 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)))))) (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal -4 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 4 binary64))))
(neg.f64 (.f64 y (.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 4 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -16 binary64)) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 4 binary64)))))
(.f64 y (.f64 y #s(literal -4 binary64)))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 y y)))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 4 binary64))))
(.f64 (.f64 y y) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 y))
(.f64 (neg.f64 (.f64 y y)) #s(literal 4 binary64))
(.f64 (neg.f64 y) (.f64 y #s(literal 4 binary64)))
(.f64 (.f64 y #s(literal -4 binary64)) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y y)))
(neg.f64 (neg.f64 (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 y y)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

eval142.0ms (2.2%)

Memory: -23.0MiB live, 172.5MiB allocated
Compiler: Compiled 24 354 to 1 464 computations (94% saved)

prune146.0ms (2.2%)

Memory

10.2MiB live, 249.0MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	849	4	853
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	851	9	860

Accuracy

99.5%

Counts

860 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
▶	33.9%	(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (.f64 (.f64 y y) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -4 binary64)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x)))
▶	48.7%	(.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
▶	49.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))
▶	53.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
✓	46.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)))
✓	46.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)))
✓	47.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 124 to 74 computations (40.3% saved)

simplify192.0ms (2.9%)

Memory

12.8MiB live, 205.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* x x) (* (* y y) -4)) (.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64))))
cost-diff	0	(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (.f64 (.f64 y y) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -4 binary64)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x)))
cost-diff	1024	(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
cost-diff	320	(.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
cost-diff	0	(*.f64 y #s(literal -8 binary64))
cost-diff	0	(/.f64 (*.f64 y #s(literal -8 binary64)) x)
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))
cost-diff	384	(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
cost-diff	0	(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
cost-diff	384	(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))

Rules

4 532×	`lower-fma.f32`
4 520×	`lower-fma.f64`
4 176×	`lower-*.f32`
4 160×	`lower-*.f64`
2 118×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	273
0	67	264
1	124	261
2	234	261
3	484	253
4	997	253
5	2767	253
6	4373	253
7	6150	253
0	8120	253

Stop Event

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

Calls

Call 1

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

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

localize176.0ms (2.7%)

Memory

4.7MiB live, 214.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	3.082798721568073	(fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64))
accuracy	8.403881678503904	(/.f64 x (*.f64 y y))
accuracy	13.493811574149214	(.f64 (.f64 y y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -4 binary64)))
accuracy	31.89852604910454	(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (.f64 (.f64 y y) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -4 binary64)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x)))
accuracy	0.00390625	(fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))
accuracy	0.864222510495744	(/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
accuracy	4.056953932240295	(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
accuracy	32.26276202277923	(.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 y #s(literal -8 binary64))
accuracy	0.15691376953688405	(fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	32.34289801700002	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.12109375	(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
accuracy	29.526382285854158	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))

Samples

103.0ms

256×

valid

Compiler

Compiled 238 to 40 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 19.0ms (34.9% of total)

ival-add: 18.0ms (33% of total)

ival-div: 16.0ms (29.4% of total)

ival-sub: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series41.0ms (0.6%)

Memory

-4.5MiB live, 75.0MiB allocated

Counts

21 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* y -8)
2.0ms	y	@	0	(/ (* x 1/2) y)
1.0ms	y	@	0	(/ (* y -8) x)
0.0ms	x	@	inf	(/ 1 (+ (* x x) (* y (* y 4))))
0.0ms	x	@	inf	(/ x (* y y))

simplify384.0ms (5.9%)

Memory

22.1MiB live, 591.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 502×	`lower-fma.f64`
16 502×	`lower-fma.f32`
6 500×	`lower-*.f64`
6 500×	`lower-*.f32`
1 818×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	4866
1	570	4390
2	1633	4126
3	6029	4094
0	8153	3804

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

rewrite312.0ms (4.8%)

Memory

-23.6MiB live, 559.7MiB allocated

Rules

4 542×	`lower-/.f32`
4 528×	`lower-/.f64`
4 168×	`lower-fma.f32`
4 156×	`lower-fma.f64`
3 960×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	231
0	67	226
1	282	223
2	2115	219
0	8420	219

Stop Event

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

Counts

21 → 642

Calls

Call 1

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

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

eval152.0ms (2.3%)

Memory: 37.0MiB live, 334.1MiB allocated
Compiler: Compiled 32 648 to 2 052 computations (93.7% saved)

prune198.0ms (3%)

Memory

-33.2MiB live, 374.7MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	1 158	0	1 158
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	1 158	9	1 167

Accuracy

99.5%

Counts

1 167 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
✓	33.9%	(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (.f64 (.f64 y y) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -4 binary64)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x)))
✓	48.7%	(.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
✓	49.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64)))
✓	53.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
✓	46.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)))
✓	46.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)))
✓	47.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	52.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 296 to 120 computations (59.5% saved)

regimes44.0ms (0.7%)

Memory

11.6MiB live, 51.5MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

28.0ms	y
4.0ms	x
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
4.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
83.3%	4	`x`
83.4%	3	`y`
75.4%	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)))`
83.3%	4	`(*.f64 x x)`
83.4%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes8.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	y
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
83.3%	3	`y`
83.3%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

-24.7MiB live, 14.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	y
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
83.2%	3	`y`
83.2%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.6%	2	`x`
73.6%	2	`(*.f64 x x)`
76.6%	2	`y`
76.6%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-27.4MiB live, 11.7MiB 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 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) 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))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.8%	2	`y`
75.8%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

3 calls:

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

Results

Accuracy	Segments	Branch
73.3%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
75.1%	2	`y`
75.1%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 31 to 16 computations (48.4% saved)

regimes7.0ms (0.1%)

Memory

-15.0MiB live, 23.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.1%	1	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
52.1%	1	`(*.f64 x x)`
52.1%	1	`x`
52.1%	1	`y`
52.1%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.75148587312435e+168	2.0474903307520824e+173
0.0ms	2.51718e-318	3.0946205769e-313

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.75148587312435e+168	2.0474903307520824e+173
0.0ms	0.0	9.74e-321

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.75148587312435e+168	2.0474903307520824e+173
0.0ms	0.0	9.74e-321

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.209823135611298e-39	3.801857138380128e-33

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.209823135611298e-39	3.801857138380128e-33

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.209823135611298e-39	3.801857138380128e-33

Compiler

Compiled 20 to 14 computations (30% saved)

simplify14.0ms (0.2%)

Memory

-7.7MiB live, 35.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	488
1	70	488
2	85	488
3	93	488
4	99	488
5	101	488

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 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 1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (fma.f64 (/.f64 x (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) x (/.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 9999999999999999338604948347429745623719502164303315186116928223077006466996036476256924325958459471709145545996985214755393808134448127932794585054037286174943850004480 binary64)) (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 y #s(literal -8 binary64)) x) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 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))

soundness864.0ms (13.2%)

Memory

7.0MiB live, 467.2MiB allocated

Rules

18 822×	`lower-fma.f64`
18 822×	`lower-fma.f32`
7 268×	`lower-*.f64`
7 268×	`lower-*.f32`
6 436×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	948
1	319	894
2	960	808
3	4074	800
0	8265	730
0	9	40
0	15	40
1	54	40
2	397	40
3	6323	40
0	8488	36
0	30	175
0	46	172
1	185	167
2	1303	167
0	8701	167

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 557 to 228 computations (59.1% saved)

preprocess181.0ms (2.8%)

Memory

19.5MiB live, 168.9MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 958 to 282 computations (70.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample939.0ms (14.4%)

explain206.0ms (3.2%)

preprocess214.0ms (3.3%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify63.0ms (1%)

localize44.0ms (0.7%)

series8.0ms (0.1%)

simplify365.0ms (5.6%)

rewrite569.0ms (8.7%)

eval83.0ms (1.3%)

prune127.0ms (1.9%)

simplify317.0ms (4.9%)

localize117.0ms (1.8%)

series26.0ms (0.4%)

simplify318.0ms (4.9%)

rewrite239.0ms (3.7%)

eval142.0ms (2.2%)

prune146.0ms (2.2%)

simplify192.0ms (2.9%)

localize176.0ms (2.7%)

series41.0ms (0.6%)

simplify384.0ms (5.9%)

rewrite312.0ms (4.8%)

eval152.0ms (2.3%)

prune198.0ms (3%)

regimes44.0ms (0.7%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

soundness864.0ms (13.2%)

preprocess181.0ms (2.8%)

end0.0ms (0%)

Profiling