Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	18.7%	81.3%	0%	0%	0%	0
0%	0%	18.7%	81.3%	0%	0%	0%	1
0%	0%	18.7%	81.3%	0%	0%	0%	2
50%	9.4%	9.4%	81.3%	0%	0%	0%	3
50%	9.4%	9.4%	81.3%	0%	0%	0%	4
87.5%	16.4%	2.3%	81.3%	0%	0%	0%	5
87.5%	16.4%	2.3%	81.3%	0%	0%	0%	6
96.9%	18.1%	0.6%	81.3%	0%	0%	0%	7
96.9%	18.1%	0.6%	81.3%	0%	0%	0%	8
99.2%	18.6%	0.1%	81.3%	0%	0%	0%	9
99.2%	18.6%	0.1%	81.3%	0%	0%	0%	10
99.8%	18.7%	0%	81.3%	0%	0%	0%	11
99.8%	18.7%	0%	81.3%	0%	0%	0%	12

Compiler

Compiled 27 to 17 computations (37% saved)

sample1.3s (20%)

Memory

22.1MiB live, 1 398.5MiB allocated

Samples

962.0ms

8 256×

valid

Precisions

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

ival-mult: 176.0ms (31.2% of total)

ival-sub: 128.0ms (22.7% of total)

ival-<: 118.0ms (20.9% of total)

ival-add: 69.0ms (12.2% of total)

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

ival-and: 16.0ms (2.8% of total)

exact: 9.0ms (1.6% of total)

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

Bogosity

explain104.0ms (1.6%)

Memory

-20.0MiB live, 224.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
83	-	1	(1.776051966342068e-166 -3.9037490961515523e-162)	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	0	-	`(*.f64 (-.f64 x y) (+.f64 x y))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	44	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	44
↳	`(*.f64 y y)`	overflow	44
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	44
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	38	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	38
↳	`(*.f64 y y)`	underflow	85
↳	`(*.f64 x x)`	underflow	117
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	38

Confusion

	Predicted +	Predicted -
+	82	1
-	0	173

Precision

1.0

Recall

0.9879518072289156

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	1
-	0	0	173

Precision?

1.0

Recall?

0.9879518072289156

Freqs

test

number	freq
0	174
1	82

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: 20.0ms

ival-mult: 9.0ms (45.1% of total)

ival-add: 5.0ms (25.1% of total)

ival-sub: 3.0ms (15% of total)

ival-div: 3.0ms (15% of total)

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

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

preprocess395.0ms (6%)

Memory

7.7MiB live, 242.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	83
1	94	83
2	301	75
3	799	75
4	2239	75
5	4876	75
6	5512	75
7	5947	75
8	6282	75
9	6355	75
10	6883	75
0	9	15
0	16	15
1	29	15
2	55	15
3	120	15
4	245	15
5	532	15
6	1278	15
7	2989	15
8	5193	15
9	6736	15
10	7289	15
11	7520	15
12	7616	15
13	7625	15
14	7625	15
15	7683	15
16	7687	15
17	7687	15
18	7687	15
19	7946	15
0	8006	14

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Outputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify312.0ms (4.7%)

Memory

23.3MiB live, 178.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	16	43
1	29	43
2	55	43
3	120	43
4	245	43
5	532	43
6	1278	43
7	2989	43
8	5193	43
9	6736	43
10	7289	43
11	7520	43
12	7616	43
13	7625	43
14	7625	43
15	7683	43
16	7687	43
17	7687	43
18	7687	43
19	7946	43
0	8006	41

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y y)

Outputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x)))
(*.f64 (-.f64 x y) (+.f64 x y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 y x)
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 y y)

localize26.0ms (0.4%)

Memory

2.5MiB live, 40.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	20.390853520119197	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

19.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

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

ival-mult: 4.0ms (43.4% of total)

ival-add: 2.0ms (21.7% of total)

ival-sub: 1.0ms (10.8% of total)

ival-div: 1.0ms (10.8% of total)

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

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

series11.0ms (0.2%)

Memory

-24.3MiB live, 14.0MiB allocated

Counts

6 → 38

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 y y))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(-.f64 x y)
(+.f64 x y)
(*.f64 x x)
(*.f64 y y)

Outputs
(pow y 2)
(+ (pow x 2) (pow y 2))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* -1 y)
(- x y)
y
(+ x y)
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ x (* -1 y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (* y y))
1.0ms	y	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (* y y))
1.0ms	x	@	inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (* y y))
1.0ms	x	@	-inf	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (* y y))
1.0ms	y	@	0	((+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- x y) (+ x y) (* x x) (* y y))

simplify169.0ms (2.6%)

Memory

8.4MiB live, 213.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	363
1	504	318
2	1619	283
3	6181	283
0	8213	260

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 36

Calls

Call 1

Inputs
(pow y 2)
(+ (pow x 2) (pow y 2))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* -1 y)
(- x y)
y
(+ x y)
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(+ x (* -1 y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

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

rewrite155.0ms (2.3%)

Memory

-0.8MiB live, 189.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
0	16	34
1	66	34
2	551	34
0	8160	32

Stop Event

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

Counts

6 → 569

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 y y))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(-.f64 x y)
(+.f64 x y)
(*.f64 x x)
(*.f64 y y)

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)))) (.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 x y) y) (-.f64 (.f64 (-.f64 x y) y) (.f64 (-.f64 x y) x)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) (-.f64 x y)) (-.f64 x y))
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(.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)) (+.f64 y x))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y (.f64 x x))))
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(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x)))
(.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x)))
(.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 y y (.f64 x x)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
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(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 y y (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 x y))) (+.f64 y x))
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(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 y x)) (neg.f64 (-.f64 x y)))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 x y)) (neg.f64 (+.f64 y x)))
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(/.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))) (fma.f64 (-.f64 x y) x (.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (+.f64 y x)) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64))) (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 x y) x (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64))) (.f64 (-.f64 x y) (fma.f64 (.f64 (-.f64 x y) y) (-.f64 (.f64 (-.f64 x y) y) (.f64 (-.f64 x y) x)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64)) (.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (+.f64 y x)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 x) x (.f64 y y))) (neg.f64 (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (-.f64 x y) x (.f64 y y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (fma.f64 (neg.f64 y) y (.f64 x x))) (.f64 (+.f64 y x) x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 y x) y) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (*.f64 y x)))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 x x) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y))
(fma.f64 (.f64 (+.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 (fma.f64 y y (.f64 x x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 y x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 x (neg.f64 y))
(+.f64 (-.f64 x #s(literal 0 binary64)) y)
(+.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 y x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (+.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 y #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (.f64 x x))) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 y x)))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 y x) y)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 y x) y)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x (*.f64 #s(literal 1 binary64) y))
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval67.0ms (1%)

Memory: -5.8MiB live, 115.7MiB allocated
Compiler: Compiled 17 676 to 1 859 computations (89.5% saved)

prune12.0ms (0.2%)

Memory

-5.1MiB live, 34.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	578	5	583
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	579	5	584

Accuracy

99.1%

Counts

584 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	43.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	70.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	30.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	68.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 186 to 114 computations (38.7% saved)

simplify167.0ms (2.5%)

Memory

-12.6MiB live, 214.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	173
0	39	168
1	66	168
2	116	168
3	221	168
4	390	168
5	793	168
6	1854	168
7	4472	168
8	7654	168
0	8214	168

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (0.7%)

Memory

-11.6MiB live, 69.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 x x)
accuracy	20.390853520119197	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	15.38727972650618	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	20.390853520119197	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	44.30349909643176	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	19.944392407033675	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.0703125	(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
accuracy	0.171875	(*.f64 (/.f64 x y) x)
accuracy	18.74121301714369	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))

Samples

32.0ms

256×

valid

Compiler

Compiled 328 to 49 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 7.0ms (35.8% of total)

ival-mult: 7.0ms (35.8% of total)

ival-add: 4.0ms (20.5% of total)

ival-sub: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

15 → 55

Calls

Call 1

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

Outputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ (pow x 2) y)
(* -1 y)
(- x y)
y
(+ x y)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ 2 y)
(+ x (* -1 y))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))

Calls

6 calls:

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

simplify135.0ms (2.1%)

Memory

19.0MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	585
1	611	501
2	1987	460
0	8158	431

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

Inputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ (pow x 2) y)
(* -1 y)
(- x y)
y
(+ x y)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
1
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ 2 y)
(+ x (* -1 y))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))

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

rewrite201.0ms (3%)

Memory

16.4MiB live, 205.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	147
0	39	142
1	145	142
2	1061	142
0	8587	142

Stop Event

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

Counts

15 → 785

Calls

Call 1

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

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

eval192.0ms (2.9%)

Memory: -0.5MiB live, 235.1MiB allocated
Compiler: Compiled 38 205 to 2 809 computations (92.6% saved)

prune45.0ms (0.7%)

Memory

-7.8MiB live, 65.6MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 179	4	1 183
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 180	8	1 188

Accuracy

99.5%

Counts

1 188 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	43.8%	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (*.f64 y y))))
▶	33.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	70.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	60.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
▶	70.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64)))))
✓	30.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	68.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 189 to 115 computations (39.2% saved)

simplify133.0ms (2%)

Memory

-3.0MiB live, 116.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (*.f64 y y))))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(/.f64 (*.f64 #s(literal -2 binary64) y) x)
cost-diff	0	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64)))))
cost-diff	128	(neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64)))
cost-diff	320	(.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64))))
cost-diff	1024	(pow.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	314
0	65	314
1	126	308
2	279	308
3	779	288
4	2867	288
5	5519	288
0	8217	277

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.9%)

Memory

2.7MiB live, 189.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.2109375	(.f64 (+.f64 y x) (/.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (*.f64 y y))))
accuracy	15.38727972650618	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	19.665392565885252	(/.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.14910126953688405	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	42.79729502731154	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
accuracy	0.01953125	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	0.2801505489950381	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	15.460775835227166	(fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
accuracy	18.74121301714369	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
accuracy	0.42344844371934554	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64)))
accuracy	4.813907098343404	(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy	10.311675825733856	(.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64))))
accuracy	18.74121301714369	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (/.f64 x y) x) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64)))))

Samples

79.0ms

256×

valid

Compiler

Compiled 575 to 79 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 16.0ms (27.8% of total)

ival-mult: 16.0ms (27.8% of total)

ival-div: 12.0ms (20.9% of total)

ival-pow2: 10.0ms (17.4% of total)

ival-sub: 2.0ms (3.5% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series38.0ms (0.6%)

Memory

18.8MiB live, 66.5MiB allocated

Counts

22 → 86

Calls

Call 1

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

Outputs
(/ (pow x 4) (pow y 4))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
1
(+ 1 (* -4 (/ (pow x 4) (pow y 4))))
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* 2 (pow x 2))
(pow x 2)
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(* -2 (/ y x))
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -1 y)
(- x y)
(/ (pow x 2) (pow y 2))
(- (* (pow x 2) (+ (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ y x)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* -4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 4)))))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
x
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(* x (+ 1 (* -1 (/ y x))))
(* -1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -1/2 (pow y 2)) (* -1/8 (/ (pow y 6) (pow x 4)))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -1/2 (pow y 2)) (* 1/16 (/ (pow y 8) (pow x 6)))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* 1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(* -1 (* x (- (/ y x) 1)))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ (- (pow y 4) (* 4 (pow x 4))) (pow y 4))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(/ 1 (pow y 2))
(* -2 y)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(+ x (* -1 y))
(* (pow y 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(* y (+ 1 (/ x y)))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(* y (- (/ x y) 1))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* -2 (/ (pow x 2) (pow y 2)))))
(- (* 8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	y	@	0	((pow (/ (* (/ x y) x) y) 2) (* (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1))) (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (/ (* (/ x y) x) y) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1)) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (+ (* x x) (* y y)) (* y y))
5.0ms	x	@	inf	((pow (/ (* (/ x y) x) y) 2) (* (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1))) (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (/ (* (/ x y) x) y) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1)) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (+ (* x x) (* y y)) (* y y))
4.0ms	x	@	0	((pow (/ (* (/ x y) x) y) 2) (* (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1))) (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (/ (* (/ x y) x) y) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1)) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (+ (* x x) (* y y)) (* y y))
4.0ms	y	@	inf	((pow (/ (* (/ x y) x) y) 2) (* (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1))) (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (/ (* (/ x y) x) y) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1)) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (+ (* x x) (* y y)) (* y y))
3.0ms	x	@	-inf	((pow (/ (* (/ x y) x) y) 2) (* (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1))) (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (* x x) 2) (* x x) (/ 1 (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (- x y) (/ (* (/ x y) x) y) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1)) (+ (* (* (* x x) 2) (/ 1 (* y y))) -1) (/ y x) (+ (* x x) (* y y)) (* y y))

simplify192.0ms (2.9%)

Memory

-39.1MiB live, 177.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	1153
1	999	1073
2	2911	1006
0	8258	941

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 84

Calls

Call 1

Inputs
(/ (pow x 4) (pow y 4))
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
1
(+ 1 (* -4 (/ (pow x 4) (pow y 4))))
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* 2 (pow x 2))
(pow x 2)
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(* -2 (/ y x))
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -1 y)
(- x y)
(/ (pow x 2) (pow y 2))
(- (* (pow x 2) (+ (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(/ y x)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* -4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 4)))))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
x
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(* x (+ 1 (* -1 (/ y x))))
(* -1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -1/2 (pow y 2)) (* -1/8 (/ (pow y 6) (pow x 4)))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -1/2 (pow y 2)) (* 1/16 (/ (pow y 8) (pow x 6)))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* 1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(* -1 (* x (- (/ y x) 1)))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(/ (- (pow y 4) (* 4 (pow x 4))) (pow y 4))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(/ 1 (pow y 2))
(* -2 y)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(+ x (* -1 y))
(* (pow y 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(* y (+ 1 (/ x y)))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(* y (- (/ x y) 1))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* -2 (/ (pow x 2) (pow y 2)))))
(- (* 8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite247.0ms (3.8%)

Memory

9.2MiB live, 203.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	263
0	65	257
1	262	215
2	2179	209
0	8229	196

Stop Event

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

Counts

22 → 625

Calls

Call 1

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

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

eval169.0ms (2.6%)

Memory: 20.6MiB live, 173.6MiB allocated
Compiler: Compiled 29 357 to 3 189 computations (89.1% saved)

prune86.0ms (1.3%)

Memory

7.0MiB live, 44.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	768	5	773
Fresh	0	0	0
Picked	3	1	4
Done	0	4	4
Total	771	10	781

Accuracy

99.5%

Counts

781 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	30.4%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)))
▶	69.3%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
✓	33.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	70.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	60.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
▶	69.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
▶	70.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 #s(approx (neg (+ ( 4 (pow (/ (* (/ x y) x) y) 2)) -1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64)))))
✓	30.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	68.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 478 to 286 computations (40.2% saved)

simplify185.0ms (2.8%)

Memory

9.7MiB live, 165.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)))
cost-diff	0	(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)))
cost-diff	6272	(fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
cost-diff	6272	(-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
cost-diff	-384	(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64)))
cost-diff	0	#s(approx (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 #s(approx (neg (+ ( 4 (pow (/ (* (/ x y) x) y) 2)) -1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64)))))
cost-diff	320	(.f64 #s(approx (neg (+ ( 4 (pow (/ (* (/ x y) x) y) 2)) -1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	616
0	107	600
1	215	582
2	478	582
3	1384	582
4	4603	582
0	8079	561

Stop Event

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

Calls

Call 1

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

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

localize292.0ms (4.4%)

Memory

-25.9MiB live, 231.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.781250000000001	(fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
accuracy	11.381944978168184	(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
accuracy	14.254686862557325	(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)))
accuracy	19.44814942114495	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
accuracy	0.2109375	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)))
accuracy	0.2487488281475361	(pow.f64 (/.f64 y x) #s(literal 3 binary64))
accuracy	8.773437500000002	(fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy	44.421315066611555	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x))
accuracy	0.2109375	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y)))
accuracy	0.2881813965266302	(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy	6.01557545992494	(-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
accuracy	19.533540177398717	#s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	4.963687095506789	(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64))
accuracy	9.90261047193935	(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y))
accuracy	18.74121301714369	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
accuracy	4.813907098343404	(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy	10.311675825733856	(.f64 #s(approx (neg (+ ( 4 (pow (/ (* (/ x y) x) y) 2)) -1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64))))
accuracy	18.74121301714369	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 #s(approx (neg (+ ( 4 (pow (/ (* (/ x y) x) y) 2)) -1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64)))))
accuracy	19.49913149843007	#s(approx (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) #s(literal 1 binary64))

Samples

127.0ms

256×

valid

Compiler

Compiled 1 095 to 133 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-add: 32.0ms (35.3% of total)

ival-mult: 22.0ms (24.3% of total)

ival-div: 17.0ms (18.7% of total)

ival-pow: 8.0ms (8.8% of total)

ival-sub: 5.0ms (5.5% of total)

ival-pow2: 5.0ms (5.5% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series45.0ms (0.7%)

Memory

10.3MiB live, 83.0MiB allocated

Counts

24 → 134

Calls

Call 1

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

Outputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
1
(+ 1 (* -4 (/ (pow x 4) (pow y 4))))
(- (* (pow x 2) (+ (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* 2 x)
(* 2 (/ x (pow y 2)))
(- (/ x y) 1)
(- (* x (+ (/ 1 y) (/ x (pow y 2)))) 1)
(- (* x (+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ (pow y 3) (pow x 3))
(/ (+ (* -1 (* x (pow y 2))) (pow y 3)) (pow x 3))
(/ (+ (* x (+ (* -1 (* x y)) (* -1 (pow y 2)))) (pow y 3)) (pow x 3))
(/ (+ (* x (+ (* -1 (pow y 2)) (* x (+ x (* -1 y))))) (pow y 3)) (pow x 3))
(+ 1 (* -2 (/ (pow x 2) (pow y 2))))
(- (* (pow x 2) (+ (* -16 (/ (pow x 4) (pow y 6))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 4) (- (* 32 (/ (pow x 2) (pow y 8))) (* 16 (/ 1 (pow y 6))))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* 4 (/ (pow x 4) (pow y 4))) 1)
(- (* (pow x 4) (+ (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) 1)
(- (* (pow x 4) (+ (* (pow x 2) (- (* 32 (/ (pow x 4) (pow y 10))) (* 8 (/ 1 (pow y 6))))) (* 4 (/ 1 (pow y 4))))) 1)
(/ (pow x 2) (pow y 2))
(/ (pow x 3) (pow y 3))
(+ 1 (* (pow x 2) (- (* 4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* -4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 4)))))
(* -1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -1/2 (pow y 2)) (* -1/8 (/ (pow y 6) (pow x 4)))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -1/2 (pow y 2)) (* 1/16 (/ (pow y 8) (pow x 6)))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* 1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(* -1 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))
(* (pow x 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3))))
(* (pow x 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (+ (/ 1 (pow x 3)) (/ 1 (pow y 3)))))
x
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(+ 1 (* -1 (/ y x)))
(+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3)))))
(* -2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (+ (* -1/4 (/ (pow y 4) (pow x 6))) (/ 1 (pow x 2))) (+ (* 1/4 (/ (pow y 4) (pow x 6))) (* 2 (/ 1 (pow y 2))))))
(* (pow x 2) (- (+ (* -1/4 (/ (pow y 4) (pow x 6))) (+ (* 1/8 (/ (pow y 6) (pow x 8))) (/ 1 (pow x 2)))) (+ (* -1/8 (/ (pow y 6) (pow x 8))) (+ (* 1/4 (/ (pow y 4) (pow x 6))) (* 2 (/ 1 (pow y 2)))))))
(/ (+ (* -1/2 (pow y 2)) (* 1/8 (/ (pow y 6) (pow x 4)))) (pow x 2))
(/ (+ (* -1/2 (pow y 2)) (+ (* -1/16 (/ (pow y 8) (pow x 6))) (* 1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(/ (- (+ (* -1/2 (pow y 2)) (+ (* 1/64 (/ (pow y 12) (pow x 10))) (* 1/8 (/ (pow y 6) (pow x 4))))) (* 1/16 (/ (pow y 8) (pow x 6)))) (pow x 2))
(* 4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (- (* 4 (/ 1 (pow y 4))) (* 2 (/ 1 (* (pow x 2) (pow y 2))))))
(* (pow x 4) (- (+ (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 4)))) (/ 2 (* (pow x 2) (pow y 2)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(+ 1 (* -1 (/ (+ y (/ (pow y 2) x)) x)))
(+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(/ (- (pow y 4) (* 4 (pow x 4))) (pow y 4))
(* (pow y 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(pow y 2)
(/ (- (* (pow x 2) y) (pow x 3)) (pow y 3))
(/ (- (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 3))
(/ (- (* y (+ (* y (+ x (* -1 y))) (pow x 2))) (pow x 3)) (pow y 3))
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(+ 1 (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))))
(+ 1 (* y (- (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (- (pow y 2) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -2 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* -2 (pow x 2)) (* (pow y 2) (+ 1 (* 1/8 (/ (* (pow y 2) (+ (* -4 (pow x 4)) (* 4 (pow x 4)))) (pow x 6)))))) (pow y 2))
(/ (+ (* -2 (pow x 2)) (* (pow y 2) (+ 1 (* (pow y 2) (+ (* -1/2 (/ (pow y 2) (pow x 4))) (* 1/8 (/ (+ (* -4 (pow x 4)) (* 4 (pow x 4))) (pow x 6)))))))) (pow y 2))
(* (pow y 2) (- (* 1/8 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 4) (+ (* -1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 4) (+ (* (pow y 2) (- (* 1/64 (/ (pow y 4) (pow x 12))) (* 1/16 (/ 1 (pow x 8))))) (* 1/8 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(/ (+ (* -2 (* (pow x 2) (pow y 2))) (* 4 (pow x 4))) (pow y 4))
(/ (+ (* 4 (pow x 4)) (* (pow y 2) (- (pow y 2) (* 2 (pow x 2))))) (pow y 4))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* -2 (/ (pow x 2) (pow y 2)))))
(- (* 8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1)
(- (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)
(* y (+ 1 (/ x y)))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 2) y))))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3))))
(* (pow y 3) (- (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))))
(- (+ (* -1 (/ (+ (* -4 (pow x 4)) (* 4 (pow x 4))) (pow y 4))) (* 2 (/ (pow x 2) (pow y 2)))) 1)
(- (+ (* -8 (/ (pow x 6) (pow y 6))) (+ (* -1 (/ (+ (* -4 (pow x 4)) (* 4 (pow x 4))) (pow y 4))) (* 2 (/ (pow x 2) (pow y 2))))) (+ 1 (* 8 (/ (pow x 6) (pow y 6)))))
(- (+ (* -8 (/ (pow x 6) (pow y 6))) (* 4 (/ (pow x 4) (pow y 4)))) 1)
(- (+ (* 4 (/ (pow x 4) (pow y 4))) (* 32 (/ (pow x 10) (pow y 10)))) (+ 1 (* 8 (/ (pow x 6) (pow y 6)))))
(- (+ 1 (* 4 (/ (pow x 4) (pow y 4)))) (* 2 (/ (pow x 2) (pow y 2))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) 1)
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3)))))
(* -1 (* (pow y 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow x 3)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3)))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	((* (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* 2 x) (* y y) (/ (* 2 x) (* y y)) (- (+ (* (+ (/ x y) 1) (/ x y)) -1) (pow (/ x y) 3)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y))) (- 1 (* 2 (pow (/ x y) 2))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (+ (* -4 (pow (/ x y) 4)) 1) (+ (* 8 (pow (/ x y) 6)) -1)) (+ (* 4 (pow (/ x y) 4)) (- 1 (* 2 (pow (/ x y) 2))))) (/ (+ (* -4 (pow (/ x y) 4)) 1) (+ (* 8 (pow (/ x y) 6)) -1)) (/ (* (/ x y) x) y) (+ (* x (/ (* 2 x) (* y y))) -1) (pow (/ x y) 3) (pow (/ y x) 3) (+ (* 4 (pow (/ x y) 4)) (- 1 (* 2 (pow (/ x y) 2)))))
7.0ms	x	@	inf	((* (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* 2 x) (* y y) (/ (* 2 x) (* y y)) (- (+ (* (+ (/ x y) 1) (/ x y)) -1) (pow (/ x y) 3)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y))) (- 1 (* 2 (pow (/ x y) 2))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (+ (* -4 (pow (/ x y) 4)) 1) (+ (* 8 (pow (/ x y) 6)) -1)) (+ (* 4 (pow (/ x y) 4)) (- 1 (* 2 (pow (/ x y) 2))))) (/ (+ (* -4 (pow (/ x y) 4)) 1) (+ (* 8 (pow (/ x y) 6)) -1)) (/ (* (/ x y) x) y) (+ (* x (/ (* 2 x) (* y y))) -1) (pow (/ x y) 3) (pow (/ y x) 3) (+ (* 4 (pow (/ x y) 4)) (- 1 (* 2 (pow (/ x y) 2)))))
6.0ms	x	@	0	((* (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* 2 x) (* y y) (/ (* 2 x) (* y y)) (- (+ (* (+ (/ x y) 1) (/ x y)) -1) (pow (/ x y) 3)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y))) (- 1 (* 2 (pow (/ x y) 2))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (+ (* -4 (pow (/ x y) 4)) 1) (+ (* 8 (pow (/ x y) 6)) -1)) (+ (* 4 (pow (/ x y) 4)) (- 1 (* 2 (pow (/ x y) 2))))) (/ (+ (* -4 (pow (/ x y) 4)) 1) (+ (* 8 (pow (/ x y) 6)) -1)) (/ (* (/ x y) x) y) (+ (* x (/ (* 2 x) (* y y))) -1) (pow (/ x y) 3) (pow (/ y x) 3) (+ (* 4 (pow (/ x y) 4)) (- 1 (* 2 (pow (/ x y) 2)))))
5.0ms	x	@	-inf	((* (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* 2 x) (* y y) (/ (* 2 x) (* y y)) (- (+ (* (+ (/ x y) 1) (/ x y)) -1) (pow (/ x y) 3)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y))) (- 1 (* 2 (pow (/ x y) 2))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (+ (* -4 (pow (/ x y) 4)) 1) (+ (* 8 (pow (/ x y) 6)) -1)) (+ (* 4 (pow (/ x y) 4)) (- 1 (* 2 (pow (/ x y) 2))))) (/ (+ (* -4 (pow (/ x y) 4)) 1) (+ (* 8 (pow (/ x y) 6)) -1)) (/ (* (/ x y) x) y) (+ (* x (/ (* 2 x) (* y y))) -1) (pow (/ x y) 3) (pow (/ y x) 3) (+ (* 4 (pow (/ x y) 4)) (- 1 (* 2 (pow (/ x y) 2)))))
4.0ms	y	@	inf	((* (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (neg (+ (* 4 (pow (/ (* (/ x y) x) y) 2)) -1)) (/ 1 (+ (* -2 (/ (* (/ x y) x) y)) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* 2 x) (* y y) (/ (* 2 x) (* y y)) (- (+ (* (+ (/ x y) 1) (/ x y)) -1) (pow (/ x y) 3)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (+ y x) (/ (- x y) (+ (* x x) (* y y))) (+ (* (/ y x) (- -1 (/ y x))) (+ (pow (/ y x) 3) 1)) (* (+ y x) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y))) (- 1 (* 2 (pow (/ x y) 2))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (+ (* -4 (pow (/ x y) 4)) 1) (+ (* 8 (pow (/ x y) 6)) -1)) (+ (* 4 (pow (/ x y) 4)) (- 1 (* 2 (pow (/ x y) 2))))) (/ (+ (* -4 (pow (/ x y) 4)) 1) (+ (* 8 (pow (/ x y) 6)) -1)) (/ (* (/ x y) x) y) (+ (* x (/ (* 2 x) (* y y))) -1) (pow (/ x y) 3) (pow (/ y x) 3) (+ (* 4 (pow (/ x y) 4)) (- 1 (* 2 (pow (/ x y) 2)))))

simplify193.0ms (2.9%)

Memory

7.2MiB live, 206.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	589	2369
1	1747	2260
2	5371	2175
0	8609	2052

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 132

Calls

Call 1

Inputs
-1
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
1
(+ 1 (* -4 (/ (pow x 4) (pow y 4))))
(- (* (pow x 2) (+ (* -4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(* 2 x)
(* 2 (/ x (pow y 2)))
(- (/ x y) 1)
(- (* x (+ (/ 1 y) (/ x (pow y 2)))) 1)
(- (* x (+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(- (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ (pow y 3) (pow x 3))
(/ (+ (* -1 (* x (pow y 2))) (pow y 3)) (pow x 3))
(/ (+ (* x (+ (* -1 (* x y)) (* -1 (pow y 2)))) (pow y 3)) (pow x 3))
(/ (+ (* x (+ (* -1 (pow y 2)) (* x (+ x (* -1 y))))) (pow y 3)) (pow x 3))
(+ 1 (* -2 (/ (pow x 2) (pow y 2))))
(- (* (pow x 2) (+ (* -16 (/ (pow x 4) (pow y 6))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 4) (- (* 32 (/ (pow x 2) (pow y 8))) (* 16 (/ 1 (pow y 6))))) (* 2 (/ 1 (pow y 2))))) 1)
(- (* 4 (/ (pow x 4) (pow y 4))) 1)
(- (* (pow x 4) (+ (* -8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) 1)
(- (* (pow x 4) (+ (* (pow x 2) (- (* 32 (/ (pow x 4) (pow y 10))) (* 8 (/ 1 (pow y 6))))) (* 4 (/ 1 (pow y 4))))) 1)
(/ (pow x 2) (pow y 2))
(/ (pow x 3) (pow y 3))
(+ 1 (* (pow x 2) (- (* 4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(* -4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 4)))))
(* -1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1/2 (pow y 2)) (* 1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -1/2 (pow y 2)) (* -1/8 (/ (pow y 6) (pow x 4)))) (* -1/4 (/ (pow y 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -1/2 (pow y 2)) (* 1/16 (/ (pow y 8) (pow x 6)))) (+ (* -1/4 (/ (pow y 4) (pow x 2))) (* 1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(* -1 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))
(* (pow x 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow y 3))))
(* (pow x 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (+ (/ 1 (pow x 3)) (/ 1 (pow y 3)))))
x
(* x (+ 1 (/ y x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ (- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2))) x)
(+ 1 (* -1 (/ y x)))
(+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3)))))
(* -2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (+ (* -1/4 (/ (pow y 4) (pow x 6))) (/ 1 (pow x 2))) (+ (* 1/4 (/ (pow y 4) (pow x 6))) (* 2 (/ 1 (pow y 2))))))
(* (pow x 2) (- (+ (* -1/4 (/ (pow y 4) (pow x 6))) (+ (* 1/8 (/ (pow y 6) (pow x 8))) (/ 1 (pow x 2)))) (+ (* -1/8 (/ (pow y 6) (pow x 8))) (+ (* 1/4 (/ (pow y 4) (pow x 6))) (* 2 (/ 1 (pow y 2)))))))
(/ (+ (* -1/2 (pow y 2)) (* 1/8 (/ (pow y 6) (pow x 4)))) (pow x 2))
(/ (+ (* -1/2 (pow y 2)) (+ (* -1/16 (/ (pow y 8) (pow x 6))) (* 1/8 (/ (pow y 6) (pow x 4))))) (pow x 2))
(/ (- (+ (* -1/2 (pow y 2)) (+ (* 1/64 (/ (pow y 12) (pow x 10))) (* 1/8 (/ (pow y 6) (pow x 4))))) (* 1/16 (/ (pow y 8) (pow x 6)))) (pow x 2))
(* 4 (/ (pow x 4) (pow y 4)))
(* (pow x 4) (- (* 4 (/ 1 (pow y 4))) (* 2 (/ 1 (* (pow x 2) (pow y 2))))))
(* (pow x 4) (- (+ (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 4)))) (/ 2 (* (pow x 2) (pow y 2)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(* -1 (* (pow x 3) (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) x)) (/ 1 (pow y 2))) x)) (/ 1 (pow y 3)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) 1) x))
(+ 1 (* -1 (/ (+ y (/ (pow y 2) x)) x)))
(+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))) x)))
(/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(/ (- (pow y 4) (* 4 (pow x 4))) (pow y 4))
(* (pow y 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 6))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(pow y 2)
(/ (- (* (pow x 2) y) (pow x 3)) (pow y 3))
(/ (- (* y (+ (* x y) (pow x 2))) (pow x 3)) (pow y 3))
(/ (- (* y (+ (* y (+ x (* -1 y))) (pow x 2))) (pow x 3)) (pow y 3))
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(+ 1 (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))))
(+ 1 (* y (- (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (- (pow y 2) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -2 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* -2 (pow x 2)) (* (pow y 2) (+ 1 (* 1/8 (/ (* (pow y 2) (+ (* -4 (pow x 4)) (* 4 (pow x 4)))) (pow x 6)))))) (pow y 2))
(/ (+ (* -2 (pow x 2)) (* (pow y 2) (+ 1 (* (pow y 2) (+ (* -1/2 (/ (pow y 2) (pow x 4))) (* 1/8 (/ (+ (* -4 (pow x 4)) (* 4 (pow x 4))) (pow x 6)))))))) (pow y 2))
(* (pow y 2) (- (* 1/8 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 4) (+ (* -1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (* (pow y 4) (+ (* (pow y 2) (- (* 1/64 (/ (pow y 4) (pow x 12))) (* 1/16 (/ 1 (pow x 8))))) (* 1/8 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(/ (+ (* -2 (* (pow x 2) (pow y 2))) (* 4 (pow x 4))) (pow y 4))
(/ (+ (* 4 (pow x 4)) (* (pow y 2) (- (pow y 2) (* 2 (pow x 2))))) (pow y 4))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* -2 (/ (pow x 2) (pow y 2)))))
(- (* 8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1)
(- (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)
(* y (+ 1 (/ x y)))
(/ (- (/ x y) 1) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 2) y))))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3))))
(* (pow y 3) (- (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))))
(- (+ (* -1 (/ (+ (* -4 (pow x 4)) (* 4 (pow x 4))) (pow y 4))) (* 2 (/ (pow x 2) (pow y 2)))) 1)
(- (+ (* -8 (/ (pow x 6) (pow y 6))) (+ (* -1 (/ (+ (* -4 (pow x 4)) (* 4 (pow x 4))) (pow y 4))) (* 2 (/ (pow x 2) (pow y 2))))) (+ 1 (* 8 (/ (pow x 6) (pow y 6)))))
(- (+ (* -8 (/ (pow x 6) (pow y 6))) (* 4 (/ (pow x 4) (pow y 4)))) 1)
(- (+ (* 4 (/ (pow x 4) (pow y 4))) (* 32 (/ (pow x 10) (pow y 10)))) (+ 1 (* 8 (/ (pow x 6) (pow y 6)))))
(- (+ 1 (* 4 (/ (pow x 4) (pow y 4)))) (* 2 (/ (pow x 2) (pow y 2))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) 1)
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3)))))
(* -1 (* (pow y 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow x 3)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3)))))

Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 x (/.f64 x y)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
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(+ 1 (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x))
(+ 1 (* y (- (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64))
(/ (- (pow y 2) (* 2 (pow x 2))) (pow y 2))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))
(/ (+ (* -2 (pow x 2)) (pow y 2)) (pow y 2))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))
(/ (+ (* -2 (pow x 2)) (* (pow y 2) (+ 1 (* 1/8 (/ (* (pow y 2) (+ (* -4 (pow x 4)) (* 4 (pow x 4)))) (pow x 6)))))) (pow y 2))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal 1 binary64))
(/ (+ (* -2 (pow x 2)) (* (pow y 2) (+ 1 (* (pow y 2) (+ (* -1/2 (/ (pow y 2) (pow x 4))) (* 1/8 (/ (+ (* -4 (pow x 4)) (* 4 (pow x 4))) (pow x 6)))))))) (pow y 2))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x (fma.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 y y))) (.f64 y y))
(* (pow y 2) (- (* 1/8 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 y y))
(* (pow y 2) (- (* (pow y 4) (+ (* -1/16 (/ (pow y 2) (pow x 8))) (* 1/8 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 y y))
(* (pow y 2) (- (* (pow y 4) (+ (* (pow y 2) (- (* 1/64 (/ (pow y 4) (pow x 12))) (* 1/16 (/ 1 (pow x 8))))) (* 1/8 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 8 binary64)))) (.f64 y y) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 y y))
(/ (+ (* -2 (* (pow x 2) (pow y 2))) (* 4 (pow x 4))) (pow y 4))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) y) #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* 4 (pow x 4)) (* (pow y 2) (- (pow y 2) (* 2 (pow x 2))))) (pow y 4))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (.f64 (.f64 (*.f64 y x) x) y) #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
#s(literal -1 binary64)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (* -4 (/ (pow x 4) (pow y 4))) (+ 1 (* -2 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(- (* 8 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (* 4 (/ (pow x 4) (pow y 4))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 8 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
(- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 (/.f64 x y) y) x (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(- (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)
(-.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 (.f64 x x) (-.f64 y x)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64))
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(/ (- (/ x y) 1) y)
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (+ (/ x y) (/ (pow x 2) (pow y 2))) 1) y)
(/.f64 (fma.f64 (/.f64 (/.f64 x y) y) x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y)
(/ (- (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y)) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) y)
(/.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 (.f64 x x) (-.f64 y x)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) y)
(* (pow y 3) (- (/ 1 (pow x 3)) (/ 1 (* (pow x 2) y))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1 (/ (+ (/ 1 (* x y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x x))) y) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(* (pow y 3) (- (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (pow.f64 y #s(literal 3 binary64)))
(- (+ (* -1 (/ (+ (* -4 (pow x 4)) (* 4 (pow x 4))) (pow y 4))) (* 2 (/ (pow x 2) (pow y 2)))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (+ (* -8 (/ (pow x 6) (pow y 6))) (+ (* -1 (/ (+ (* -4 (pow x 4)) (* 4 (pow x 4))) (pow y 4))) (* 2 (/ (pow x 2) (pow y 2))))) (+ 1 (* 8 (/ (pow x 6) (pow y 6)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -8 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
(- (+ (* -8 (/ (pow x 6) (pow y 6))) (* 4 (/ (pow x 4) (pow y 4)))) 1)
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -8 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (/ (pow x 4) (pow y 4))) (* 32 (/ (pow x 10) (pow y 10)))) (+ 1 (* 8 (/ (pow x 6) (pow y 6)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 y #s(literal 10 binary64))) #s(literal 32 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -8 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (+ 1 (* 4 (/ (pow x 4) (pow y 4)))) (* 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
#s(literal -1 binary64)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) 1)
(-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))
(* -1 (/ (+ 1 (* -1 (/ (+ x (/ (pow x 2) y)) y))) y))
(/.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y)) y)
(* -1 (* (pow y 3) (- (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3)))))
(.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) (/ 1 (pow x 3)))))
(.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))) y)) (/ 1 (pow x 3)))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) y)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))

rewrite285.0ms (4.3%)

Memory

-46.6MiB live, 292.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	457
0	107	433
1	482	425
2	4433	395
0	8866	384

Stop Event

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

Counts

24 → 603

Calls

Call 1

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

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

eval180.0ms (2.7%)

Memory: 28.6MiB live, 214.0MiB allocated
Compiler: Compiled 35 760 to 3 446 computations (90.4% saved)

prune54.0ms (0.8%)

Memory

7.7MiB live, 81.1MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	728	8	736
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	730	16	746

Accuracy

99.5%

Counts

746 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(fma.f64 #s(approx (/ (- x y) (+ (* x x) (* y y))) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)) y (.f64 #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)) x))
✓	67.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	30.4%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)))
	69.3%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y)))
	69.3%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (pow.f64 y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y)))
	69.2%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal -6 binary64))) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) y)))
	30.2%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) x)))
	69.3%	(.f64 (+.f64 y x) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 (/.f64 x y) (.f64 (/.f64 x y) x)) y)) y)))
✓	33.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	70.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
✓	60.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64)))
	69.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal -6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
	69.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
✓	70.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 #s(approx (neg (+ ( 4 (pow (/ (* (/ x y) x) y) 2)) -1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1 binary64)))))
✓	30.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	68.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 1 369 to 470 computations (65.7% saved)

regimes53.0ms (0.8%)

Memory

-8.4MiB live, 39.9MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x)))

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

Calls

3 calls:

39.0ms	y
7.0ms	x
5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
88.1%	2	`x`
92.5%	4	`y`
95.0%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
95.0%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes30.0ms (0.5%)

Memory

-25.6MiB live, 7.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

29.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
94.0%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
93.8%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
68.8%	1	`x`
68.8%	1	`y`
68.8%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999680558383506	1.0

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999680558383506	1.0

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch41.0ms (0.6%)

Memory

-3.2MiB live, 72.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.0	NaN
14.0ms	-0.9999680558383506	1.0

Samples

13.0ms	101×	0	invalid
7.0ms	416×	0	valid

Compiler

Compiled 902 to 638 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify72.0ms (1.1%)

Memory

0.7MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	363
1	56	363
2	59	363
3	61	363
4	62	363

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 y y (.f64 x x))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 x y) x) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)) #s(literal -1 binary64))) (if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (.f64 y y) (.f64 x x))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

soundness713.0ms (10.8%)

Memory

11.1MiB live, 475.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	263
0	65	257
1	262	215
2	2179	209
0	8229	196
0	160	363
1	504	318
2	1619	283
3	6181	283
0	8213	260
0	9	34
0	16	34
1	66	34
2	551	34
0	8160	32
0	28	147
0	39	142
1	145	142
2	1061	142
0	8587	142

Stop Event

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

Compiler

Compiled 482 to 133 computations (72.4% saved)

preprocess77.0ms (1.2%)

Memory

-18.9MiB live, 90.0MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 1 260 to 274 computations (78.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.3s (20%)

explain104.0ms (1.6%)

preprocess395.0ms (6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify312.0ms (4.7%)

localize26.0ms (0.4%)

series11.0ms (0.2%)

simplify169.0ms (2.6%)

rewrite155.0ms (2.3%)

eval67.0ms (1%)

prune12.0ms (0.2%)

simplify167.0ms (2.5%)

localize49.0ms (0.7%)

series11.0ms (0.2%)

simplify135.0ms (2.1%)

rewrite201.0ms (3%)

eval192.0ms (2.9%)

prune45.0ms (0.7%)

simplify133.0ms (2%)

localize123.0ms (1.9%)

series38.0ms (0.6%)

simplify192.0ms (2.9%)

rewrite247.0ms (3.8%)

eval169.0ms (2.6%)

prune86.0ms (1.3%)

simplify185.0ms (2.8%)

localize292.0ms (4.4%)

series45.0ms (0.7%)

simplify193.0ms (2.9%)

rewrite285.0ms (4.3%)

eval180.0ms (2.7%)

prune54.0ms (0.8%)

regimes53.0ms (0.8%)

regimes3.0ms (0%)

regimes30.0ms (0.5%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch41.0ms (0.6%)

simplify72.0ms (1.1%)

soundness713.0ms (10.8%)

preprocess77.0ms (1.2%)

end0.0ms (0%)

Profiling