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

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)

sample832.0ms (18.4%)

Memory

20.7MiB live, 1 135.9MiB allocated

Samples

500.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 314.0ms

ival-mult: 178.0ms (56.7% of total)

ival-div: 50.0ms (15.9% of total)

ival-sub: 37.0ms (11.8% of total)

ival-add: 36.0ms (11.5% of total)

ival-true: 5.0ms (1.6% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess247.0ms (5.5%)

Memory

-12.4MiB live, 107.6MiB 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)

explain120.0ms (2.6%)

Memory

28.2MiB live, 298.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
126	-	-	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
22	-	-	`(-.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	120	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	68
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	120
↳	`(*.f64 x x)`	overflow	74
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	68
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	120
↳	`(*.f64 x x)`	overflow	74
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	22	0
↳	`(*.f64 x x)`	overflow	74
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	68
`/.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	6	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	54
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	6
↳	`(*.f64 x x)`	underflow	53
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	54
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	6
↳	`(*.f64 x x)`	underflow	53

Confusion

	Predicted +	Predicted -
+	126	0
-	0	130

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	130
1	104
2	22

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 148 to 40 computations (73% saved)

Precisions

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

ival-mult: 9.0ms (47.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.f64 (-.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)

simplify86.0ms (1.9%)

Memory

-16.7MiB live, 62.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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))

localize28.0ms (0.6%)

Memory

29.0MiB live, 64.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
✓	accuracy	92.5%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
✓	accuracy	51.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Samples

16.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

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

ival-mult: 5.0ms (56.7% of total)

ival-div: 2.0ms (22.7% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-19.1MiB live, 18.5MiB 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
2.0ms	x	@	0	(- (* 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	y	@	inf	(/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)))
0.0ms	x	@	inf	(- (* x x) (* (* y 4) y))

simplify630.0ms (13.9%)

Memory

-49.4MiB live, 822.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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)

rewrite331.0ms (7.3%)

Memory

-24.6MiB live, 664.3MiB allocated

Algorithm

1×	batch-egg-rewrite

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)))
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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)))

eval86.0ms (1.9%)

Memory: 24.6MiB live, 249.6MiB allocated
Compiler: Compiled 36 806 to 1 537 computations (95.8% saved)

prune125.0ms (2.8%)

Memory

-26.9MiB live, 305.6MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	703	4	707
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	704	4	708

Accuracy

100.0%

Counts

708 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	#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)))
▶	49.8%	#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)))
▶	50.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	50.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 34 to 22 computations (35.3% saved)

simplify339.0ms (7.5%)

Memory

27.5MiB live, 220.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

2 800×	`lower-fma.f32`
2 796×	`lower-fma.f64`
2 224×	`lower-*.f32`
2 218×	`lower-*.f64`
926×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	158
0	34	158
1	65	158
2	134	158
3	251	158
4	376	158
5	532	158
6	708	158
7	1060	158
8	2372	158
9	4102	158
10	4679	158
11	4834	158
12	4878	158
13	4894	158
14	4898	158
15	5164	158
16	5280	158
17	5280	158
18	5456	158
19	5622	158
20	5746	158
21	5753	158
22	5909	158
23	6147	158
24	6179	158
25	6179	158
0	6179	150

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)

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 (/.f64 y (.f64 x x)) (.f64 y #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))
(fma.f64 (/.f64 y (.f64 x x)) (.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))
y
(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
(/.f64 (.f64 y #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)

localize64.0ms (1.4%)

Memory

-10.7MiB live, 151.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
✓	accuracy	84.6%	(fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1 binary64))
✓	accuracy	52.4%	#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	100.0%	(.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64))
✓	accuracy	98.1%	(fma.f64 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64))
✓	accuracy	91.0%	(/.f64 y (*.f64 x x))
✓	accuracy	51.6%	#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	50.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	accuracy	50.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Samples

35.0ms

256×

valid

Compiler

Compiled 136 to 23 computations (83.1% saved)

Precisions

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

ival-mult: 12.0ms (54.2% of total)

ival-div: 5.0ms (22.6% of total)

ival-add: 3.0ms (13.6% of total)

ival-sub: 1.0ms (4.5% of total)

exact: 1.0ms (4.5% of total)

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

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

series18.0ms (0.4%)

Memory

7.6MiB live, 47.7MiB allocated

Counts

10 → 216

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>) () ())
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#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>) () ())

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

Calls

54 calls:

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

simplify612.0ms (13.5%)

Memory

12.3MiB live, 759.3MiB allocated

Algorithm

1×	egg-herbie

Rules

22 518×	`lower-fma.f64`
22 518×	`lower-fma.f32`
6 764×	`lower-*.f64`
6 764×	`lower-*.f32`
3 324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	3236
1	314	2790
2	946	2462
3	3616	2398
0	8231	2226

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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))

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

rewrite369.0ms (8.1%)

Memory

10.6MiB live, 639.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 262×	`lower-fma.f32`
10 258×	`lower-fma.f64`
6 318×	`lower-*.f32`
6 312×	`lower-*.f64`
3 658×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	142
0	34	142
1	131	142
2	896	142
0	8333	134

Stop Event

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

Counts

10 → 275

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))

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

eval99.0ms (2.2%)

Memory: -23.7MiB live, 188.6MiB allocated
Compiler: Compiled 9 553 to 787 computations (91.8% saved)

prune58.0ms (1.3%)

Memory

-8.7MiB live, 146.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	521	0	521
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	521	4	525

Accuracy

100.0%

Counts

525 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.0%	#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)))
✓	49.8%	#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)))
✓	50.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	50.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes14.0ms (0.3%)

Memory

-4.9MiB live, 33.3MiB allocated

Counts

5 → 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)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Outputs

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

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

Calls

5 calls:

4.0ms	x
2.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
81.5%	3	`x`
81.1%	3	`y`
78.4%	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)))`
81.5%	3	`(*.f64 x x)`
81.1%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes9.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB 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))) (fma.f64 y (*.f64 (/.f64 y (*.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
77.5%	2	`y`
77.5%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
78.7%	2	`x`
78.7%	2	`(*.f64 x x)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-24.3MiB live, 14.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
78.1%	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)))`
78.3%	2	`x`
78.3%	2	`(*.f64 x x)`

Compiler

Compiled 29 to 14 computations (51.7% saved)

regimes6.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.9%	1	`y`
50.9%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
50.9%	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)))`
50.9%	1	`x`
50.9%	1	`(*.f64 x x)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch25.0ms (0.6%)

Memory

17.9MiB live, 56.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.44173413282595e+270	4.757396833166429e+273
12.0ms	1.0327696240926878e-46	7.301541393393092e-44

Samples

14.0ms

256×

valid

Compiler

Compiled 446 to 254 computations (43% saved)

Precisions

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

ival-mult: 5.0ms (58.7% of total)

ival-sub: 1.0ms (11.7% of total)

ival-div: 1.0ms (11.7% of total)

ival-add: 1.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.6%)

Memory

-22.4MiB live, 48.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	4.054607910012406e-42	1.1992737170757749e-29

Samples

13.0ms

160×

valid

Compiler

Compiled 192 to 134 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (43.7% of total)

ival-sub: 1.0ms (21.9% of total)

ival-div: 1.0ms (21.9% of total)

ival-add: 1.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	4.054607910012406e-42	1.1992737170757749e-29

Compiler

Compiled 82 to 62 computations (24.4% saved)

simplify9.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-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	36	208
1	48	208
2	63	208
3	71	208
4	77	208
5	79	208

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 3792373784451217/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (.f64 x x) #s(literal 490000000000000020094052443071740128463722525535929717560358940063504229049120116823093610526136744619868850718057757823562065216220042380228904506070978886869272907143708153422731188945204165899867807155497519358752124328707043875154915491366143579159334055758399763644416 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 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 5686995171182009/1496577676626844588240573268701473812127674924007424 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))))
(if (<=.f64 (.f64 x x) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (.f64 x x) #s(literal 3792373784451217/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (.f64 x x) #s(literal 490000000000000020094052443071740128463722525535929717560358940063504229049120116823093610526136744619868850718057757823562065216220042380228904506070978886869272907143708153422731188945204165899867807155497519358752124328707043875154915491366143579159334055758399763644416 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 y (.f64 (/.f64 y (.f64 x x)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 3792373784451217/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 (.f64 x x) #s(literal 490000000000000020094052443071740128463722525535929717560358940063504229049120116823093610526136744619868850718057757823562065216220042380228904506070978886869272907143708153422731188945204165899867807155497519358752124328707043875154915491366143579159334055758399763644416 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 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)))))
(if (<=.f64 (.f64 x x) #s(literal 5686995171182009/1496577676626844588240573268701473812127674924007424 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))))
(if (<=.f64 (.f64 x x) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 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))

soundness336.0ms (7.4%)

Memory

-37.2MiB live, 181.8MiB allocated

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 116 to 58 computations (50% saved)

preprocess45.0ms (1%)

Memory

-2.9MiB live, 115.9MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 546 to 202 computations (63% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample832.0ms (18.4%)

preprocess247.0ms (5.5%)

explain120.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify86.0ms (1.9%)

localize28.0ms (0.6%)

series9.0ms (0.2%)

simplify630.0ms (13.9%)

rewrite331.0ms (7.3%)

eval86.0ms (1.9%)

prune125.0ms (2.8%)

simplify339.0ms (7.5%)

localize64.0ms (1.4%)

series18.0ms (0.4%)

simplify612.0ms (13.5%)

rewrite369.0ms (8.1%)

eval99.0ms (2.2%)

prune58.0ms (1.3%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch25.0ms (0.6%)

bsearch25.0ms (0.6%)

bsearch1.0ms (0%)

simplify9.0ms (0.2%)

soundness336.0ms (7.4%)

preprocess45.0ms (1%)

end0.0ms (0%)

Profiling