Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

-30.8MiB live, 11.1MiB 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)

sample1.2s (16.4%)

Memory

-63.8MiB live, 1 575.3MiB allocated

Samples

914.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 716.0ms

ival-sub: 318.0ms (44.4% of total)

ival-mult: 168.0ms (23.5% of total)

ival-add: 82.0ms (11.5% of total)

ival-<: 62.0ms (8.7% of total)

ival-div: 52.0ms (7.3% of total)

ival-and: 18.0ms (2.5% of total)

exact: 12.0ms (1.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain156.0ms (2.1%)

Memory

-22.4MiB live, 297.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
86	-	1	(4.4512802102387644e-159 -1.2033910664781508e-160)	`(/.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)))`	u/u	46	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	46
↳	`(*.f64 y y)`	underflow	86
↳	`(*.f64 x x)`	underflow	127
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	46
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	39	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	39
↳	`(*.f64 y y)`	overflow	39
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	39

Confusion

	Predicted +	Predicted -
+	85	1
-	0	170

Precision

1.0

Recall

0.9883720930232558

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	1
-	0	0	170

Precision?

1.0

Recall?

0.9883720930232558

Freqs

test

number	freq
0	171
1	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 191 to 49 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 13.0ms (51.7% of total)

ival-add: 5.0ms (19.9% of total)

ival-sub: 4.0ms (15.9% of total)

ival-div: 3.0ms (11.9% of total)

ival-true: 1.0ms (4% of total)

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

preprocess423.0ms (5.6%)

Memory

18.7MiB live, 250.5MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify316.0ms (4.2%)

Memory

-3.8MiB live, 189.0MiB 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)

localize27.0ms (0.4%)

Memory

11.8MiB live, 49.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 y y))
accuracy	21.107619377699862	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

20.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (39.3% of total)

ival-sub: 2.0ms (19.7% of total)

ival-div: 2.0ms (19.7% of total)

ival-add: 2.0ms (19.7% of total)

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

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

series7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB 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
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	@	0	((+ (* 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))

simplify130.0ms (1.7%)

Memory

8.5MiB live, 167.4MiB 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)

rewrite170.0ms (2.2%)

Memory

-1.2MiB live, 287.4MiB 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.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)))

eval68.0ms (0.9%)

Memory: -3.1MiB live, 153.4MiB allocated
Compiler: Compiled 17 676 to 1 859 computations (89.5% saved)

prune13.0ms (0.2%)

Memory

3.6MiB live, 41.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	575	8	583
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	576	8	584

Accuracy

99.2%

Counts

584 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.5%	(/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x))
▶	66.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
	42.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	66.4%	(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
▶	67.8%	#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)))
▶	27.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
	33.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	66.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 330 to 190 computations (42.4% saved)

simplify199.0ms (2.6%)

Memory

-21.1MiB live, 140.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
cost-diff	7616	(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 x y)
cost-diff	128	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y)
cost-diff	0	(fma.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y) y #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) (.f64 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	36	243
0	58	230
1	109	230
2	248	230
3	649	230
4	1993	230
5	4550	230
0	8162	230

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

localize105.0ms (1.4%)

Memory

13.2MiB live, 133.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(pow.f64 (+.f64 y x) #s(literal -1 binary64))
accuracy	0.16015625	(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
accuracy	20.299929067310185	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
accuracy	20.300109504480567	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	21.107619377699862	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
accuracy	0.08984375	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	6.344814195401849	(fma.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
accuracy	9.16623159708486	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y)
accuracy	40.92461605661237	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
accuracy	21.467727330217894	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.09212875976844201	(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
accuracy	0.1328125	(*.f64 (/.f64 x y) x)
accuracy	20.614633252228757	#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

80.0ms

256×

valid

Compiler

Compiled 475 to 70 computations (85.3% saved)

Precisions

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

ival-div: 22.0ms (43.8% of total)

ival-mult: 14.0ms (27.9% of total)

ival-add: 8.0ms (15.9% of total)

ival-pow: 3.0ms (6% of total)

ival-sub: 2.0ms (4% of total)

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

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.7%)

Memory

-0.1MiB live, 38.8MiB allocated

Counts

20 → 119

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

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	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))) (+ (* (* (/ -2 (* x x)) y) y) 1) (* (/ -2 (* x x)) y) (/ -2 (* x x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (- x y) (+ x y) (+ (* y y) (* x x)) (* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (* x x) (* (- x y) (+ x y)) (pow (+ y x) -1))
5.0ms	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))) (+ (* (* (/ -2 (* x x)) y) y) 1) (* (/ -2 (* x x)) y) (/ -2 (* x x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (- x y) (+ x y) (+ (* y y) (* x x)) (* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (* x x) (* (- x y) (+ x y)) (pow (+ y x) -1))
4.0ms	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))) (+ (* (* (/ -2 (* x x)) y) y) 1) (* (/ -2 (* x x)) y) (/ -2 (* x x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (- x y) (+ x y) (+ (* y y) (* x x)) (* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (* x x) (* (- x y) (+ x y)) (pow (+ y x) -1))
3.0ms	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))) (+ (* (* (/ -2 (* x x)) y) y) 1) (* (/ -2 (* x x)) y) (/ -2 (* x x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (- x y) (+ x y) (+ (* y y) (* x x)) (* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (* x x) (* (- x y) (+ x y)) (pow (+ y x) -1))
3.0ms	x	@	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))) (+ (* (* (/ -2 (* x x)) y) y) 1) (* (/ -2 (* x x)) y) (/ -2 (* x x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (- x y) (+ x y) (+ (* y y) (* x x)) (* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (* x x) (* (- x y) (+ x y)) (pow (+ y x) -1))

simplify171.0ms (2.2%)

Memory

3.9MiB live, 213.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	465	1787
1	1469	1576
2	4392	1403
0	8531	1325

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 117

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

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

rewrite328.0ms (4.3%)

Memory

3.9MiB live, 192.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	205
0	58	192
1	230	192
2	1923	192
0	8193	192

Stop Event

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

Counts

20 → 1 146

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

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

eval330.0ms (4.4%)

Memory: -51.7MiB live, 255.8MiB allocated
Compiler: Compiled 40 728 to 3 981 computations (90.2% saved)

prune51.0ms (0.7%)

Memory

2.3MiB live, 77.2MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 140	12	1 152
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 144	16	1 160

Accuracy

99.5%

Counts

1 160 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) (+.f64 y x))
✓	66.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
	42.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
▶	41.7%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
	66.5%	(.f64 (fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (neg.f64 y)) y (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
	65.9%	(.f64 (.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x))) (-.f64 x y)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
	66.4%	(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
▶	35.8%	(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 y x) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
	36.4%	(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
▶	68.2%	(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
	35.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal 1 binary64)))
	27.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
✓	67.8%	#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)))
	56.6%	#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)))
▶	33.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	66.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 785 to 429 computations (45.4% saved)

simplify190.0ms (2.5%)

Memory

29.9MiB live, 189.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 y x) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x)
cost-diff	0	#s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 y x) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x))
cost-diff	704	(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 y x) (/.f64 #s(literal -2 binary64) x))
cost-diff	6080	(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 y x) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) y (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
cost-diff	1536	(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) (+.f64 y x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (* (- x y) (+ x y)) (*.f64 (neg.f64 y) y))
cost-diff	0	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))
cost-diff	0	#s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y)))
cost-diff	6080	(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	370
0	71	369
1	125	364
2	250	360
3	619	354
4	1918	352
5	3279	352
6	7938	352
0	8538	347

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (1.8%)

Memory

-19.7MiB live, 100.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 y x) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
accuracy	2.163574236773975	(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 y x) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x)
accuracy	6.3526266954017405	(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 y x) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
accuracy	40.459891797800715	#s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 y x) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x))
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.03125	(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) (+.f64 y x))
accuracy	20.299929067310185	(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
accuracy	20.300109504480567	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	15.570903252433551	#s(approx (* (- x y) (+ x y)) (*.f64 (neg.f64 y) y))
accuracy	21.107619377699862	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
accuracy	42.456710623399694	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	0.08984375	(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))
accuracy	0.09375	(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
accuracy	0.16015625	(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
accuracy	20.267521252286897	#s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y)))

Samples

96.0ms

256×

valid

Compiler

Compiled 708 to 85 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 30.0ms (47.1% of total)

ival-mult: 17.0ms (26.7% of total)

ival-div: 11.0ms (17.3% of total)

ival-pow: 3.0ms (4.7% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series19.0ms (0.3%)

Memory

-3.9MiB live, 31.1MiB allocated

Counts

19 → 132

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (+ (* (+ (* (/ 2 y) x) -1) x) (neg y)) (+ (* (/ 2 y) x) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* (neg y) y) (neg y) (/ (* (+ (* (neg y) y) (* x x)) (/ (+ y x) (+ (* y y) (* x x)))) (+ y x)) (* (+ (* (neg y) y) (* x x)) (/ (+ y x) (+ (* y y) (* x x)))) (+ (* (neg y) y) (* x x)) (* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (+ (* (/ -2 x) (/ y x)) (/ -2 x)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (+ (* (+ (* (+ (* (/ -2 x) (/ y x)) (/ -2 x)) y) 1) y) x) (+ (* y y) (* x x)) (/ (+ y x) (+ (* y y) (* x x))) (+ (* (+ (* (/ -2 x) (/ y x)) (/ -2 x)) y) 1))
3.0ms	y	@	inf	((* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (+ (* (+ (* (/ 2 y) x) -1) x) (neg y)) (+ (* (/ 2 y) x) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* (neg y) y) (neg y) (/ (* (+ (* (neg y) y) (* x x)) (/ (+ y x) (+ (* y y) (* x x)))) (+ y x)) (* (+ (* (neg y) y) (* x x)) (/ (+ y x) (+ (* y y) (* x x)))) (+ (* (neg y) y) (* x x)) (* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (+ (* (/ -2 x) (/ y x)) (/ -2 x)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (+ (* (+ (* (+ (* (/ -2 x) (/ y x)) (/ -2 x)) y) 1) y) x) (+ (* y y) (* x x)) (/ (+ y x) (+ (* y y) (* x x))) (+ (* (+ (* (/ -2 x) (/ y x)) (/ -2 x)) y) 1))
3.0ms	x	@	inf	((* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (+ (* (+ (* (/ 2 y) x) -1) x) (neg y)) (+ (* (/ 2 y) x) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* (neg y) y) (neg y) (/ (* (+ (* (neg y) y) (* x x)) (/ (+ y x) (+ (* y y) (* x x)))) (+ y x)) (* (+ (* (neg y) y) (* x x)) (/ (+ y x) (+ (* y y) (* x x)))) (+ (* (neg y) y) (* x x)) (* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (+ (* (/ -2 x) (/ y x)) (/ -2 x)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (+ (* (+ (* (+ (* (/ -2 x) (/ y x)) (/ -2 x)) y) 1) y) x) (+ (* y y) (* x x)) (/ (+ y x) (+ (* y y) (* x x))) (+ (* (+ (* (/ -2 x) (/ y x)) (/ -2 x)) y) 1))
2.0ms	x	@	0	((* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (+ (* (+ (* (/ 2 y) x) -1) x) (neg y)) (+ (* (/ 2 y) x) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* (neg y) y) (neg y) (/ (* (+ (* (neg y) y) (* x x)) (/ (+ y x) (+ (* y y) (* x x)))) (+ y x)) (* (+ (* (neg y) y) (* x x)) (/ (+ y x) (+ (* y y) (* x x)))) (+ (* (neg y) y) (* x x)) (* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (+ (* (/ -2 x) (/ y x)) (/ -2 x)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (+ (* (+ (* (+ (* (/ -2 x) (/ y x)) (/ -2 x)) y) 1) y) x) (+ (* y y) (* x x)) (/ (+ y x) (+ (* y y) (* x x))) (+ (* (+ (* (/ -2 x) (/ y x)) (/ -2 x)) y) 1))
2.0ms	x	@	-inf	((* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (+ (* (+ (* (/ 2 y) x) -1) x) (neg y)) (+ (* (/ 2 y) x) -1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* (neg y) y) (neg y) (/ (* (+ (* (neg y) y) (* x x)) (/ (+ y x) (+ (* y y) (* x x)))) (+ y x)) (* (+ (* (neg y) y) (* x x)) (/ (+ y x) (+ (* y y) (* x x)))) (+ (* (neg y) y) (* x x)) (* (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (pow (+ y x) -1)) (+ (* (/ -2 x) (/ y x)) (/ -2 x)) (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (+ (* (+ (* (+ (* (/ -2 x) (/ y x)) (/ -2 x)) y) 1) y) x) (+ (* y y) (* x x)) (/ (+ y x) (+ (* y y) (* x x))) (+ (* (+ (* (/ -2 x) (/ y x)) (/ -2 x)) y) 1))

simplify125.0ms (1.6%)

Memory

27.1MiB live, 153.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	522	2017
1	1649	1842
2	5157	1667
0	8238	1575

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 131

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

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

rewrite313.0ms (4.1%)

Memory

6.2MiB live, 399.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	312
0	71	311
1	290	294
2	2692	294
0	9233	294

Stop Event

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

Counts

19 → 1 067

Calls

Call 1

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

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

eval310.0ms (4.1%)

Memory: -30.6MiB live, 405.9MiB allocated
Compiler: Compiled 56 535 to 6 052 computations (89.3% saved)

prune69.0ms (0.9%)

Memory

5.1MiB live, 92.3MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 223	6	1 229
Fresh	3	5	8
Picked	3	2	5
Done	0	3	3
Total	1 229	16	1 245

Accuracy

99.5%

Counts

1 245 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.5%	(/.f64 (fma.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (neg.f64 y)) y (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (*.f64 x x))) (+.f64 y x))
	66.0%	(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y))) (-.f64 x y))) (+.f64 y x))
✓	66.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
	42.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
▶	68.3%	(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (+.f64 x y))
	35.9%	(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x)) (+.f64 x y))
✓	41.7%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
▶	67.1%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
▶	66.4%	(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
	68.2%	(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 #s(approx (+ (* (/ 2 y) x) -1) (/.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) x (neg.f64 y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
	35.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal 1 binary64)))
▶	27.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
✓	67.8%	#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)))
▶	56.6%	#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)))
✓	33.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	66.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 735 to 409 computations (44.4% saved)

simplify144.0ms (1.9%)

Memory

2.9MiB live, 161.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
cost-diff	1856	(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))
cost-diff	0	(+.f64 x y)
cost-diff	0	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
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	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) y #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) (.f64 x x)) y #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))
cost-diff	0	#s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y)))
cost-diff	0	(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (+.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	324
0	77	314
1	150	312
2	330	312
3	879	312
4	2710	312
5	5399	312
0	8583	310

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.7%)

Memory

-3.5MiB live, 153.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (+.f64 y x))
accuracy	0.16015625	(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
accuracy	20.299929067310185	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
accuracy	20.300109504480567	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 x x (*.f64 y y))
accuracy	0.15625	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
accuracy	20.311586381401636	(/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))
accuracy	0.015625	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	16.48222273850091	(fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
accuracy	20.614633252228757	#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	(*.f64 #s(literal -2 binary64) y)
accuracy	6.344814195401849	(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) y #s(literal 1 binary64))
accuracy	9.043439386456855	(/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x))
accuracy	40.92461605661237	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
accuracy	0.03125	(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (+.f64 x y))
accuracy	0.08984375	(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))
accuracy	0.09375	(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
accuracy	20.267521252286897	#s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y)))

Samples

68.0ms

256×

valid

Compiler

Compiled 631 to 88 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 23.0ms (47% of total)

ival-div: 12.0ms (24.5% of total)

ival-add: 11.0ms (22.5% of total)

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

exact: 1.0ms (2% of total)

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

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

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

series17.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

24 → 138

Calls

Call 1

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

Calls

6 calls:

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

simplify132.0ms (1.7%)

Memory

-12.7MiB live, 151.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	2036
1	1643	1905
2	4764	1705
0	8258	1623

Stop Event

1×	iter limit
1×	node limit

Counts

138 → 136

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

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

rewrite254.0ms (3.4%)

Memory

18.5MiB live, 357.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	274
0	77	262
1	311	258
2	2576	258
0	9008	258

Stop Event

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

Counts

24 → 1 132

Calls

Call 1

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

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

eval248.0ms (3.3%)

Memory: 14.4MiB live, 341.3MiB allocated
Compiler: Compiled 40 132 to 3 817 computations (90.5% saved)

prune36.0ms (0.5%)

Memory

-8.1MiB live, 113.2MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 112	5	1 117
Fresh	2	4	6
Picked	1	4	5
Done	1	4	5
Total	1 116	17	1 133

Accuracy

99.5%

Counts

1 133 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.5%	(/.f64 (fma.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (neg.f64 y)) y (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (*.f64 x x))) (+.f64 y x))
	66.0%	(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y))) (-.f64 x y))) (+.f64 y x))
✓	66.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	68.3%	(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (+.f64 x y))
	35.9%	(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x)) (+.f64 x y))
	68.3%	(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 #s(approx (+ (* (/ 2 y) x) -1) (/.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) x (neg.f64 y))) (+.f64 x y))
	65.6%	(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (neg.f64 y)) (+.f64 x y))
✓	67.1%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
	67.5%	(.f64 (+.f64 x y) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
	65.9%	(.f64 (.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y))) (-.f64 x y)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
✓	66.4%	(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
	35.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal 1 binary64)))
✓	27.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) y #s(literal 1 binary64)))
✓	67.8%	#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)))
	57.7%	#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)))
✓	33.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	66.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 1 331 to 389 computations (70.8% saved)

regimes31.0ms (0.4%)

Memory

0.0MiB live, 73.4MiB allocated

Counts

32 → 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))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (neg.f64 y)) (+.f64 x y))
#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 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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) (.f64 x x)) y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
#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 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal 1 binary64)))
(.f64 (+.f64 x y) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
(/.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)))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (+.f64 x y))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 #s(approx (+ (* (/ 2 y) x) -1) (/.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) x (neg.f64 y))) (+.f64 x y))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x)) (+.f64 x y))
(/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) (+.f64 y x))
(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y))) (-.f64 x y))) (+.f64 y x))
(.f64 (.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 x x (.f64 y y))) (-.f64 x y)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (fma.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (neg.f64 y)) y (.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (*.f64 x x))) (+.f64 y x))
(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 #s(approx (+ (* (/ 2 y) x) -1) (/.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) x (neg.f64 y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 (neg.f64 y) y (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 y x) (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y y (.f64 x x))) (-.f64 x y)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (neg.f64 y)) y (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))

Outputs

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

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

Calls

3 calls:

10.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
10.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
85.5%	2	`x`
90.4%	3	`y`
92.3%	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)

regimes6.0ms (0.1%)

Memory

-16.8MiB live, 22.0MiB allocated

Counts

16 → 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))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (neg.f64 y)) (+.f64 x y))
#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 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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) (.f64 x x)) y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
#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 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal 1 binary64)))
(.f64 (+.f64 x y) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
(/.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)))

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

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
92.1%	2	`(/.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

20.6MiB live, 20.6MiB allocated

Counts

14 → 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))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (neg.f64 y)) (+.f64 x y))
#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 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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) (.f64 x x)) y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
#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 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal 1 binary64)))
(.f64 (+.f64 x y) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))

Outputs

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

#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:

4.0ms

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

Results

Accuracy	Segments	Branch
91.6%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes7.0ms (0.1%)

Memory

-26.5MiB live, 19.4MiB allocated

Counts

13 → 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))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (neg.f64 y)) (+.f64 x y))
#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 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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) (.f64 x x)) y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
#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 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal 1 binary64)))
(.f64 (+.f64 x y) #s(approx (/ (- x y) (+ ( x x) (* y y))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))

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))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) 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:

6.0ms

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

Results

Accuracy	Segments	Branch
92.0%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

11 → 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))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (neg.f64 y)) (+.f64 x y))
#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 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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) (.f64 x x)) y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
#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)))

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))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)) 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
92.0%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

10 → 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))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (neg.f64 y)) (+.f64 x y))
#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 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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) (.f64 x x)) y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
#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))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)) y #s(literal 1 binary64)))

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #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
91.6%	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

5.5MiB live, 5.5MiB allocated

Counts

5 → 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))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (neg.f64 y)) (+.f64 x y))
#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 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) 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))) (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 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:

2.0ms

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

Results

Accuracy	Segments	Branch
91.5%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

-34.1MiB live, 4.8MiB allocated

Counts

4 → 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))
(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (neg.f64 y)) (+.f64 x y))
#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)))

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:

2.0ms

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

Results

Accuracy	Segments	Branch
91.3%	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

4.5MiB live, 4.5MiB allocated

Counts

3 → 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))

(/.f64 #s(approx (* (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (neg.f64 y)) (+.f64 x y))

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
91.2%	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

12.0MiB live, 12.0MiB 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
66.5%	1	`x`
66.5%	1	`y`
66.5%	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

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.3MiB 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

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999999926	0.9985393595507746

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999999926	0.9985393595507746

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999999926	0.9985393595507746

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	0.9985393595507746	0.999996148388698

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999999926	0.9985393595507746

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999999926	0.9985393595507746

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify79.0ms (1%)

Memory

-8.3MiB live, 66.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	821
1	93	821
2	96	821
3	97	821

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))) (/.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (+.f64 x y)))
(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 2 binary64)) (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y)))) #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))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) 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))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) 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))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) 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 8998192055486251/9007199254740992 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))) (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 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 -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 -1/2 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 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))))
#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))) (/.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (+.f64 x y)))
(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))) (/.f64 #s(approx ( (/ (+ y x) (+ (* y y) (* x x))) (+ (* (neg y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x (neg.f64 y))) (+.f64 y x)))
(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 2 binary64)) (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y)))) #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 x y) (fma.f64 x x (.f64 y y))) (+.f64 y 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 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))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) 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 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))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) 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))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) 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 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))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) 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))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) 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))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x)) 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 8998192055486251/9007199254740992 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))) (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 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 8998192055486251/9007199254740992 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))) (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 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 -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 -1/2 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 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))) #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))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

soundness1.4s (18.5%)

Memory

-12.0MiB live, 879.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	363
1	504	318
2	1619	283
3	6181	283
0	8213	260
0	48	274
0	77	262
1	311	258
2	2576	258
0	9008	258
0	36	205
0	58	192
1	230	192
2	1923	192
0	8193	192
0	45	312
0	71	311
1	290	294
2	2692	294
0	9233	294
0	9	34
0	16	34
1	66	34
2	551	34
0	8160	32
0	465	1787
1	1469	1576
2	4392	1403
0	8531	1325

Stop Event

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

Compiler

Compiled 1 527 to 485 computations (68.2% saved)

preprocess114.0ms (1.5%)

Memory: -0.1MiB live, 156.0MiB allocated
Remove: (abs x)
Compiler: Compiled 2 158 to 400 computations (81.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.2s (16.4%)

explain156.0ms (2.1%)

preprocess423.0ms (5.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify316.0ms (4.2%)

localize27.0ms (0.4%)

series7.0ms (0.1%)

simplify130.0ms (1.7%)

rewrite170.0ms (2.2%)

eval68.0ms (0.9%)

prune13.0ms (0.2%)

simplify199.0ms (2.6%)

localize105.0ms (1.4%)

series53.0ms (0.7%)

simplify171.0ms (2.2%)

rewrite328.0ms (4.3%)

eval330.0ms (4.4%)

prune51.0ms (0.7%)

simplify190.0ms (2.5%)

localize137.0ms (1.8%)

series19.0ms (0.3%)

simplify125.0ms (1.6%)

rewrite313.0ms (4.1%)

eval310.0ms (4.1%)

prune69.0ms (0.9%)

simplify144.0ms (1.9%)

localize126.0ms (1.7%)

series17.0ms (0.2%)

simplify132.0ms (1.7%)

rewrite254.0ms (3.4%)

eval248.0ms (3.3%)

prune36.0ms (0.5%)

regimes31.0ms (0.4%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify79.0ms (1%)

soundness1.4s (18.5%)

preprocess114.0ms (1.5%)

end0.0ms (0%)

Profiling