Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 17 computations (37% saved)

sample894.0ms (19%)

Memory

-69.8MiB live, 317.9MiB allocated

Samples

536.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 372.0ms

ival-mult: 134.0ms (36% of total)

ival-add: 65.0ms (17.5% of total)

ival-<: 52.0ms (14% of total)

ival-sub: 49.0ms (13.2% of total)

ival-div: 45.0ms (12.1% of total)

ival-and: 15.0ms (4% of total)

exact: 9.0ms (2.4% of total)

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

Bogosity

explain88.0ms (1.9%)

Memory

2.0MiB live, 58.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
83	-	-	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	-	`(*.f64 (-.f64 x y) (+.f64 x y))`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`y`
0	-	-	`(+.f64 x y)`
0	-	-	`(-.f64 x y)`
0	-	-	`(*.f64 y y)`
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	47	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	47
↳	`(*.f64 y y)`	underflow	87
↳	`(*.f64 x x)`	underflow	127
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	47
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	36	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	36
↳	`(*.f64 y y)`	overflow	36
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	36

Confusion

	Predicted +	Predicted -
+	83	0
-	0	173

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	83	0	0
-	0	0	173

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	173
1	83

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

17.881103515625

Average Time

0.06984806060791016

Samples

32.0ms

512×

valid

Compiler

Compiled 148 to 40 computations (73% saved)

Precisions

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

ival-mult: 9.0ms (48.7% of total)

ival-add: 4.0ms (21.6% of total)

ival-sub: 3.0ms (16.2% of total)

ival-div: 3.0ms (16.2% of total)

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

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

preprocess372.0ms (7.9%)

Memory

1.6MiB live, 39.4MiB 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

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify290.0ms (6.1%)

Memory

5.4MiB live, 33.9MiB 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)

localize22.0ms (0.5%)

Memory

-5.3MiB live, 10.1MiB 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	20.474562963097846	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

16.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

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

ival-mult: 4.0ms (45.1% of total)

ival-add: 2.0ms (22.6% of total)

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

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

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

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

series7.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB 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))

simplify114.0ms (2.4%)

Memory

2.2MiB live, 32.2MiB 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)

rewrite161.0ms (3.4%)

Memory

-3.5MiB live, 50.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 569

Calls

Call 1

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

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

eval54.0ms (1.1%)

Memory: 4.6MiB live, 48.5MiB allocated
Compiler: Compiled 17 676 to 1 859 computations (89.5% saved)

prune10.0ms (0.2%)

Memory

-2.8MiB live, 22.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	577	6	583
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	578	6	584

Accuracy

99.4%

Counts

584 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.7%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
	67.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
▶	43.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	26.5%	#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)))
▶	34.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	65.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 214 to 130 computations (39.3% saved)

simplify110.0ms (2.3%)

Memory

-5.3MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
cost-diff	0	(/.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	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))
cost-diff	0	(-.f64 x y)
cost-diff	256	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	180
0	41	175
1	73	175
2	137	175
3	271	175
4	576	175
5	1156	175
6	2518	175
7	5330	175
0	8120	175

Stop Event

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

Calls

Call 1

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

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

localize45.0ms (0.9%)

Memory

4.2MiB live, 21.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	14.876817165536094	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	20.474562963097846	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	0.1171875	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	6.37244922222865	(fma.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
accuracy	10.852667789146846	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y)
accuracy	40.528302578220725	#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	42.08291371383987	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	21.853183023082803	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.01953125	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
accuracy	19.980487159234023	(/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))

Samples

31.0ms

256×

valid

Compiler

Compiled 343 to 51 computations (85.1% saved)

Precisions

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

ival-mult: 8.0ms (39.8% of total)

ival-div: 5.0ms (24.9% of total)

ival-add: 5.0ms (24.9% of total)

ival-sub: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-0.7MiB live, 6.8MiB allocated

Counts

16 → 70

Calls

Call 1

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

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

Calls

6 calls:

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

simplify118.0ms (2.5%)

Memory

4.4MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	926
1	904	803
2	2905	693
0	8238	644

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 68

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

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

rewrite165.0ms (3.5%)

Memory

-9.8MiB live, 61.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	161
0	41	156
1	168	156
2	1347	156
0	8377	156

Stop Event

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

Counts

16 → 986

Calls

Call 1

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

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

eval113.0ms (2.4%)

Memory: 9.4MiB live, 96.5MiB allocated
Compiler: Compiled 36 818 to 3 480 computations (90.5% saved)

prune18.0ms (0.4%)

Memory

-6.8MiB live, 40.8MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 115	1	1 116
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	1 115	7	1 122

Accuracy

99.7%

Counts

1 122 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.7%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
▶	67.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
✓	43.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	36.5%	#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)))
✓	26.5%	#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)))
✓	34.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	65.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 133 to 81 computations (39.1% saved)

simplify118.0ms (2.5%)

Memory

4.9MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	92
0	31	92
1	54	92
2	100	92
3	195	92
4	329	92
5	609	92
6	1349	92
7	3257	92
8	6605	92
9	7926	92
0	8214	92

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

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

localize44.0ms (0.9%)

Memory

-2.8MiB live, 15.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 x x (*.f64 y y))
accuracy	20.474562963097846	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.17578125	(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x)
accuracy	6.37244922222865	(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal 1 binary64))
accuracy	40.528302578220725	#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)))

Samples

25.0ms

256×

valid

Compiler

Compiled 180 to 40 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (44.1% of total)

ival-div: 4.0ms (25.2% of total)

ival-add: 3.0ms (18.9% of total)

ival-sub: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-1.0MiB live, 6.5MiB allocated

Counts

11 → 56

Calls

Call 1

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

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

Calls

6 calls:

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

simplify105.0ms (2.2%)

Memory

4.4MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	583
1	619	489
2	2003	445
0	8049	416

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 54

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

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

rewrite144.0ms (3.1%)

Memory

-1.4MiB live, 56.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	86
0	31	86
1	114	86
2	864	86
0	8386	86

Stop Event

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

Counts

11 → 826

Calls

Call 1

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

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

eval87.0ms (1.9%)

Memory: 9.3MiB live, 74.0MiB allocated
Compiler: Compiled 25 691 to 2 768 computations (89.2% saved)

prune23.0ms (0.5%)

Memory

-8.2MiB live, 31.9MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	853	2	855
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	853	9	862

Accuracy

99.7%

Counts

862 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.7%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
✓	67.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
✓	43.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	36.5%	#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)))
✓	26.5%	#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)))
▶	34.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))))))
▶	35.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))))
✓	34.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	65.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 334 to 132 computations (60.5% saved)

simplify115.0ms (2.4%)

Memory

2.3MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))))))
cost-diff	2816	(.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	5568	(fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))))
cost-diff	17344	(fma.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
cost-diff	0	(pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))))
cost-diff	9408	(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	796
0	52	748
1	107	748
2	256	633
3	1122	567
4	4658	563
0	8082	556

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1.7%)

Memory

2.9MiB live, 35.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	20.672097835116855	(.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	29.057008680189877	(/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)))
accuracy	33.83710992970884	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64))))))
accuracy	40.528302578220725	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))))))
accuracy	6.37244922222865	(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))
accuracy	6.43885547222865	(.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y)
accuracy	29.068727430189877	(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)))
accuracy	40.528302578220725	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))))

Samples

60.0ms

256×

valid

Compiler

Compiled 1 457 to 68 computations (95.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-pow: 13.0ms (29.8% of total)

ival-mult: 10.0ms (23% of total)

ival-div: 9.0ms (20.7% of total)

ival-add: 5.0ms (11.5% of total)

ival-sub: 4.0ms (9.2% of total)

ival-pow2: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.9%)

Memory

-5.6MiB live, 18.0MiB allocated

Counts

12 → 73

Calls

Call 1

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

Outputs
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 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)
(* 4 (/ (pow y 4) (pow x 4)))
(/ (+ (* -1 (pow x 4)) (* 4 (pow y 4))) (pow x 4))
1
(+ 1 (* -1 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))))
(/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 4 (pow y 4))) (pow x 4))
(/ (+ (* 4 (pow y 4)) (* (pow x 2) (+ (* -4 (pow y 2)) (* 4 (pow x 2))))) (pow x 4))
(/ (+ (* 4 (pow y 4)) (* (pow x 2) (+ (* -4 (pow y 2)) (* (pow x 2) (+ 4 (* -3 (/ (pow x 2) (pow y 2)))))))) (pow x 4))
(+ 1 (* (pow x 2) (- (* 3/4 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (* 3/4 (/ 1 (pow y 4))))) (/ 1 (pow y 2)))))
(/ (+ (* -2 (pow y 2)) (* -1 (pow x 2))) (pow x 2))
(/ (+ (* -2 (pow y 2)) (* (pow x 2) (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2))) (pow x 2))
(/ (+ (* -2 (pow y 2)) (* (pow x 2) (- (+ (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) (* (pow x 2) (- (+ (* -16 (/ (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2))))) (pow y 4))) (* 2 (/ 1 (pow y 2)))) (* -1 (/ (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2) (pow y 2)))))) 2))) (pow x 2))
(/ (+ (* -2 (pow y 2)) (* (pow x 2) (- (+ (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) (* (pow x 2) (- (+ (* -16 (/ (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2))))) (pow y 4))) (+ (* 2 (/ 1 (pow y 2))) (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow y 4))) (* 16 (/ (- 1/64 (+ (* 1/512 (/ (* (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (+ (* -4 (pow y 2)) (* -2 (pow y 2)))) (pow y 6))) (* 1/8 (/ (* (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2)))))) (pow y 6))))) (pow y 4)))) (+ (* -1 (/ (- (+ (* -16 (/ (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2))))) (pow y 4))) (* 2 (/ 1 (pow y 2)))) (* -1 (/ (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2) (pow y 2)))) (pow y 2))) (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 8)))))))) (* -1 (/ (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2) (pow y 2)))))) 2))) (pow x 2))
(/ (+ (* -2 (pow y 2)) (* (pow x 2) (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))))) (pow x 2))
(/ (+ (* -2 (pow y 2)) (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))) (pow x 2))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(- (* 4 (/ (pow y 4) (pow x 4))) 1)
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 4 (/ (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(/ (+ (* -16 (/ (pow y 6) (pow x 2))) (* 4 (pow y 4))) (pow x 4))
(/ (+ (* -16 (/ (pow y 6) (pow x 2))) (+ (* -4 (/ (+ (* -16 (pow y 8)) (* 4 (pow y 8))) (pow x 4))) (* 4 (pow y 4)))) (pow x 4))
(/ (+ (* -16 (/ (pow y 6) (pow x 2))) (+ (* -4 (/ (+ (* -16 (pow y 8)) (* 4 (pow y 8))) (pow x 4))) (+ (* -4 (/ (+ (* -16 (pow y 10)) (* -4 (* (pow y 2) (+ (* -16 (pow y 8)) (* 4 (pow y 8)))))) (pow x 6))) (* 4 (pow y 4))))) (pow x 4))
(- (* -2 (/ (pow y 2) (pow x 2))) 1)
(- (+ 1 (+ (* -8 (/ (pow y 4) (pow x 4))) (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* -2 (/ (pow y 2) (pow x 2))) (/ (pow (+ (* -4 (pow y 2)) (* -2 (pow y 2))) 2) (pow x 4)))))) (+ (* 8 (/ (pow y 4) (pow x 4))) (* 16 (/ (pow y 4) (pow x 4)))))
(- (+ 1 (+ (* -8 (/ (pow y 4) (pow x 4))) (+ (* -8 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ (* (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (+ (* -4 (pow y 2)) (* -2 (pow y 2)))) (pow x 6)) (+ (/ (* (+ (* -8 (pow y 4)) (+ (* -4 (pow y 4)) (pow (+ (* -4 (pow y 2)) (* -2 (pow y 2))) 2))) (+ (* -4 (pow y 2)) (* -2 (pow y 2)))) (pow x 6)) (/ (pow (+ (* -4 (pow y 2)) (* -2 (pow y 2))) 2) (pow x 4))))))))) (+ (* -32 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (* (pow y 2) (- (+ (* -8 (pow y 4)) (+ (* -4 (pow y 4)) (pow (+ (* -4 (pow y 2)) (* -2 (pow y 2))) 2))) (+ (* 8 (pow y 4)) (* 16 (pow y 4))))) (pow x 6))) (+ (* 4 (/ (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))) (pow x 6))) (+ (* 8 (/ (pow y 4) (pow x 4))) (* 16 (/ (pow y 4) (pow x 4))))))))
(* -4 (/ (pow y 4) (pow x 4)))
(/ (+ (* -4 (pow y 4)) (* 8 (/ (pow y 6) (pow x 2)))) (pow x 4))
(/ (+ (* -16 (/ (pow y 8) (pow x 4))) (+ (* -4 (pow y 4)) (* 8 (/ (pow y 6) (pow x 2))))) (pow x 4))
(/ (+ (* -16 (/ (pow y 8) (pow x 4))) (+ (* -4 (pow y 4)) (+ (* 8 (/ (pow y 6) (pow x 2))) (* 32 (/ (pow y 10) (pow x 6)))))) (pow x 4))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(+ 1 (* (pow 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) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -48 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(* (pow y 4) (+ (* -16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* (pow y 2) (- (* 48 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 10))) (* 48 (/ 1 (pow x 8))))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 4) (- (* 8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 4) (- (* (pow y 2) (+ (* -16 (/ (pow y 2) (pow x 8))) (* 8 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 4) (- (* (pow y 2) (+ (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 10))) (* 16 (/ 1 (pow x 8))))) (* 8 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))
(- (+ (* -1 (/ x y)) (/ x y)) 1)
(- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (- (* 4 (/ 1 (pow x 4))) (/ 1 (pow y 4))))
(+ 1 (+ (* -4 (/ (+ (* -1/4 (pow x 4)) (* 1/16 (pow x 4))) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* -4 (/ (+ (* -1 (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/16 (pow x 4))))) (* -1/16 (pow x 6))) (pow y 6))) (+ (* -4 (/ (+ (* -1/4 (pow x 4)) (* 1/16 (pow x 4))) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 4) (pow y 4))))))) (* 1/4 (/ (pow x 6) (pow y 6))))
(* (pow y 4) (- (* 4 (/ 1 (pow x 4))) (* 4 (/ 1 (* (pow x 2) (pow y 2))))))
(* (pow y 4) (- (+ (* 4 (/ 1 (pow x 4))) (/ 4 (pow y 4))) (/ 4 (* (pow x 2) (pow y 2)))))
(* (pow y 4) (- (+ (* -16 (/ (+ (* -1/16 (pow x 2)) (* 3/16 (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow x 2) (pow y 6))) (+ (* 4 (/ 1 (pow x 4))) (/ 4 (pow y 4))))) (/ 4 (* (pow x 2) (pow y 2)))))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))) (pow y 4)))) (/ (pow x 2) (pow y 2)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))))) (* -1/4 (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))
(* -1 (* (pow y 2) (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(* (pow y 2) (- (+ (* -3 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -2 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow x 2)))))))
(* (pow y 2) (- (+ (* -3 (/ (pow x 2) (pow y 4))) (+ (* 5/2 (/ (pow x 4) (pow y 6))) (/ 1 (pow y 2)))) (+ (* -2 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (* (pow x 2) (- (* -3 (pow x 2)) (+ (* -2 (pow x 2)) (* -1 (pow x 2))))) (pow y 6))) (+ (* -1 (/ (pow x 2) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (+ (* -16 (+ (* -1/16 (pow x 2)) (* 3/16 (pow x 2)))) (* -1 (pow x 2)))) (pow y 6))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow x 4) (pow y 6)))))))))
(* (pow y 2) (- (+ (* -1/2 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/4 (/ (pow x 4) (pow y 6))) (/ 1 (pow y 2))) (+ (* 1/2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y	@	inf	((/ (- (pow (* (/ (/ (* -2 y) x) x) y) 2) 1) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (pow (* (/ (/ (* -2 y) x) x) y) 2) 1) (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1))) (+ (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1))) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)))) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (/ (* -2 y) x) x) y) (+ (* (/ (/ (* -2 y) x) x) y) -1) (/ (- (pow (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) 3) (pow (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) 3)) (+ (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1))) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1))))) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)))
9.0ms	x	@	0	((/ (- (pow (* (/ (/ (* -2 y) x) x) y) 2) 1) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (pow (* (/ (/ (* -2 y) x) x) y) 2) 1) (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1))) (+ (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1))) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)))) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (/ (* -2 y) x) x) y) (+ (* (/ (/ (* -2 y) x) x) y) -1) (/ (- (pow (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) 3) (pow (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) 3)) (+ (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1))) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1))))) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)))
8.0ms	y	@	0	((/ (- (pow (* (/ (/ (* -2 y) x) x) y) 2) 1) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (pow (* (/ (/ (* -2 y) x) x) y) 2) 1) (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1))) (+ (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1))) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)))) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (/ (* -2 y) x) x) y) (+ (* (/ (/ (* -2 y) x) x) y) -1) (/ (- (pow (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) 3) (pow (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) 3)) (+ (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1))) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1))))) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)))
5.0ms	x	@	inf	((/ (- (pow (* (/ (/ (* -2 y) x) x) y) 2) 1) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (pow (* (/ (/ (* -2 y) x) x) y) 2) 1) (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1))) (+ (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1))) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)))) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (/ (* -2 y) x) x) y) (+ (* (/ (/ (* -2 y) x) x) y) -1) (/ (- (pow (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) 3) (pow (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) 3)) (+ (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1))) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1))))) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)))
4.0ms	y	@	-inf	((/ (- (pow (* (/ (/ (* -2 y) x) x) y) 2) 1) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (pow (* (/ (/ (* -2 y) x) x) y) 2) 1) (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1))) (+ (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1))) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)))) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (/ (* -2 y) x) x) y) (+ (* (/ (/ (* -2 y) x) x) y) -1) (/ (- (pow (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) 3) (pow (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) 3)) (+ (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1))) (+ (* (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1)) (* (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)) (pow (+ (* (/ (/ (* -2 y) x) x) y) -1) -1))))) (/ (pow (* (/ (/ (* -2 y) x) x) y) 2) (+ (* (/ (/ (* -2 y) x) x) y) -1)))

simplify147.0ms (3.1%)

Memory

2.1MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	521	2130
1	1596	2021
2	5579	1973
0	8258	1844

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 73

Calls

Call 1

Inputs
(* -2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 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)
(* 4 (/ (pow y 4) (pow x 4)))
(/ (+ (* -1 (pow x 4)) (* 4 (pow y 4))) (pow x 4))
1
(+ 1 (* -1 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))))
(/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 4 (pow y 4))) (pow x 4))
(/ (+ (* 4 (pow y 4)) (* (pow x 2) (+ (* -4 (pow y 2)) (* 4 (pow x 2))))) (pow x 4))
(/ (+ (* 4 (pow y 4)) (* (pow x 2) (+ (* -4 (pow y 2)) (* (pow x 2) (+ 4 (* -3 (/ (pow x 2) (pow y 2)))))))) (pow x 4))
(+ 1 (* (pow x 2) (- (* 3/4 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (* 3/4 (/ 1 (pow y 4))))) (/ 1 (pow y 2)))))
(/ (+ (* -2 (pow y 2)) (* -1 (pow x 2))) (pow x 2))
(/ (+ (* -2 (pow y 2)) (* (pow x 2) (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2))) (pow x 2))
(/ (+ (* -2 (pow y 2)) (* (pow x 2) (- (+ (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) (* (pow x 2) (- (+ (* -16 (/ (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2))))) (pow y 4))) (* 2 (/ 1 (pow y 2)))) (* -1 (/ (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2) (pow y 2)))))) 2))) (pow x 2))
(/ (+ (* -2 (pow y 2)) (* (pow x 2) (- (+ (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) (* (pow x 2) (- (+ (* -16 (/ (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2))))) (pow y 4))) (+ (* 2 (/ 1 (pow y 2))) (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow y 4))) (* 16 (/ (- 1/64 (+ (* 1/512 (/ (* (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (+ (* -4 (pow y 2)) (* -2 (pow y 2)))) (pow y 6))) (* 1/8 (/ (* (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2)))))) (pow y 6))))) (pow y 4)))) (+ (* -1 (/ (- (+ (* -16 (/ (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2))))) (pow y 4))) (* 2 (/ 1 (pow y 2)))) (* -1 (/ (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2) (pow y 2)))) (pow y 2))) (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 8)))))))) (* -1 (/ (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2) (pow y 2)))))) 2))) (pow x 2))
(/ (+ (* -2 (pow y 2)) (* (pow x 2) (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))))) (pow x 2))
(/ (+ (* -2 (pow y 2)) (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))) (pow x 2))
(+ 1 (* -2 (/ (pow y 2) (pow x 2))))
(+ 1 (+ (* -1 (/ y x)) (/ y x)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))
(- (* 4 (/ (pow y 4) (pow x 4))) 1)
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 4 (/ (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(/ (+ (* -16 (/ (pow y 6) (pow x 2))) (* 4 (pow y 4))) (pow x 4))
(/ (+ (* -16 (/ (pow y 6) (pow x 2))) (+ (* -4 (/ (+ (* -16 (pow y 8)) (* 4 (pow y 8))) (pow x 4))) (* 4 (pow y 4)))) (pow x 4))
(/ (+ (* -16 (/ (pow y 6) (pow x 2))) (+ (* -4 (/ (+ (* -16 (pow y 8)) (* 4 (pow y 8))) (pow x 4))) (+ (* -4 (/ (+ (* -16 (pow y 10)) (* -4 (* (pow y 2) (+ (* -16 (pow y 8)) (* 4 (pow y 8)))))) (pow x 6))) (* 4 (pow y 4))))) (pow x 4))
(- (* -2 (/ (pow y 2) (pow x 2))) 1)
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(* -4 (/ (pow y 4) (pow x 4)))
(/ (+ (* -4 (pow y 4)) (* 8 (/ (pow y 6) (pow x 2)))) (pow x 4))
(/ (+ (* -16 (/ (pow y 8) (pow x 4))) (+ (* -4 (pow y 4)) (* 8 (/ (pow y 6) (pow x 2))))) (pow x 4))
(/ (+ (* -16 (/ (pow y 8) (pow x 4))) (+ (* -4 (pow y 4)) (+ (* 8 (/ (pow y 6) (pow x 2))) (* 32 (/ (pow y 10) (pow x 6)))))) (pow x 4))
(+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))
(+ 1 (* (pow 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) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -48 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(* (pow y 4) (+ (* -16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* (pow y 2) (- (* 48 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 10))) (* 48 (/ 1 (pow x 8))))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4)))))
(* (pow y 4) (- (* 8 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4)))))
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(- (+ (* -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 4) (- (* 4 (/ 1 (pow x 4))) (/ 1 (pow y 4))))
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(- (+ 1 (+ (* -4 (/ (+ (* -1 (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/16 (pow x 4))))) (* -1/16 (pow x 6))) (pow y 6))) (+ (* -4 (/ (+ (* -1/4 (pow x 4)) (* 1/16 (pow x 4))) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 4) (pow y 4))))))) (* 1/4 (/ (pow x 6) (pow y 6))))
(* (pow y 4) (- (* 4 (/ 1 (pow x 4))) (* 4 (/ 1 (* (pow x 2) (pow y 2))))))
(* (pow y 4) (- (+ (* 4 (/ 1 (pow x 4))) (/ 4 (pow y 4))) (/ 4 (* (pow x 2) (pow y 2)))))
(* (pow y 4) (- (+ (* -16 (/ (+ (* -1/16 (pow x 2)) (* 3/16 (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow x 2) (pow y 6))) (+ (* 4 (/ 1 (pow x 4))) (/ 4 (pow y 4))))) (/ 4 (* (pow x 2) (pow y 2)))))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))) (pow y 4)))) (/ (pow x 2) (pow y 2)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))))) (* -1/4 (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))
(* -1 (* (pow y 2) (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(* (pow y 2) (- (+ (* -3 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -2 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow x 2)))))))
(* (pow y 2) (- (+ (* -3 (/ (pow x 2) (pow y 4))) (+ (* 5/2 (/ (pow x 4) (pow y 6))) (/ 1 (pow y 2)))) (+ (* -2 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (* (pow x 2) (- (* -3 (pow x 2)) (+ (* -2 (pow x 2)) (* -1 (pow x 2))))) (pow y 6))) (+ (* -1 (/ (pow x 2) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (+ (* -16 (+ (* -1/16 (pow x 2)) (* 3/16 (pow x 2)))) (* -1 (pow x 2)))) (pow y 6))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow x 4) (pow y 6)))))))))
(* (pow y 2) (- (+ (* -1/2 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/4 (/ (pow x 4) (pow y 6))) (/ 1 (pow y 2))) (+ (* 1/2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)

Outputs
(* -2 (/ (pow y 2) (pow x 2)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) (/.f64 y x))
(/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -2 binary64) (.f64 x x)) x) x)
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(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
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(- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)
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(/ (+ (* -1 (pow x 4)) (* 4 (pow y 4))) (pow x 4))
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1
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(+ 1 (* -1 (/ (pow x 2) (pow y 2))))
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(/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 4 (pow y 4))) (pow x 4))
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(/ (+ (* -2 (pow y 2)) (* -1 (pow x 2))) (pow x 2))
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(/ (+ (* -2 (pow y 2)) (* (pow x 2) (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2))) (pow x 2))
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(/ (+ (* -2 (pow y 2)) (* (pow x 2) (- (+ (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) (* (pow x 2) (- (+ (* -16 (/ (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2))))) (pow y 4))) (* 2 (/ 1 (pow y 2)))) (* -1 (/ (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2) (pow y 2)))))) 2))) (pow x 2))
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(/ (+ (* -2 (pow y 2)) (* (pow x 2) (- (+ (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) (* (pow x 2) (- (+ (* -16 (/ (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2))))) (pow y 4))) (+ (* 2 (/ 1 (pow y 2))) (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow y 4))) (* 16 (/ (- 1/64 (+ (* 1/512 (/ (* (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (+ (* -4 (pow y 2)) (* -2 (pow y 2)))) (pow y 6))) (* 1/8 (/ (* (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2)))))) (pow y 6))))) (pow y 4)))) (+ (* -1 (/ (- (+ (* -16 (/ (+ (* 1/512 (/ (pow (+ (* -8 (pow y 4)) (* -4 (pow y 4))) 2) (pow y 6))) (* 1/64 (+ (* -4 (pow y 2)) (* -2 (pow y 2))))) (pow y 4))) (* 2 (/ 1 (pow y 2)))) (* -1 (/ (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2) (pow y 2)))) (pow y 2))) (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 8)))))))) (* -1 (/ (- (* -1/4 (/ (+ (* -8 (pow y 4)) (* -4 (pow y 4))) (pow y 4))) 2) (pow y 2)))))) 2))) (pow x 2))
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(.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (*.f64 y y))
(- (* -1 (/ (+ x (* -1 x)) y)) 1)
#s(literal -1 binary64)
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))

rewrite202.0ms (4.3%)

Memory

3.0MiB live, 100.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	635
0	52	343
1	265	264
2	2441	264
0	9407	255

Stop Event

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

Counts

12 → 739

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)))) (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 12 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)))) (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 18 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -9 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 12 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -6 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -6 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -6 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal 3 binary64))) (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64)))) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 12 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -6 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -2 binary64)))) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -4 binary64)))))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -1/2 binary64)))
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(pow.f64 (.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -1/2 binary64)) (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64))))) (exp.f64 (log1p.f64 (neg.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64))))
(/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)))))

eval246.0ms (5.2%)

Memory: 2.7MiB live, 180.2MiB allocated
Compiler: Compiled 221 870 to 6 454 computations (97.1% saved)

prune23.0ms (0.5%)

Memory

1.9MiB live, 57.7MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 461	5	1 466
Fresh	0	0	0
Picked	2	0	2
Done	0	7	7
Total	1 463	12	1 475

Accuracy

99.7%

Counts

1 475 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.7%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
✓	67.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (.f64 y y)))
✓	43.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	36.5%	#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)))
✓	26.5%	#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)))
	35.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) (.f64 y (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))))
	34.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))))))
	34.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)))))))
	15.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal -2 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) x) y #s(literal -1 binary64))))))
	34.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x) x) y)))))
✓	34.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	65.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 1 470 to 330 computations (77.6% saved)

regimes14.0ms (0.3%)

Memory

0.6MiB live, 8.3MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
5.0ms	x
4.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
82.4%	2	`x`
93.3%	4	`y`
90.8%	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)

regimes4.0ms (0.1%)

Memory

-4.4MiB live, 3.5MiB 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))
#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)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal 1 binary64)))

Outputs

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

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

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

Calls

2 calls:

2.0ms	y
2.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
84.7%	2	`y`
90.2%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes2.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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))
#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)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))

Outputs

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

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #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
89.9%	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

1.5MiB live, 1.5MiB 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))

#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))) #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
89.9%	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

-3.9MiB live, 4.0MiB 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	y
1.0ms	x
1.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
65.9%	1	`x`
65.9%	1	`y`
65.9%	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)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.8183923685772112	0.9998010840823761

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.8183923685772112	0.9998010840823761

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.8183923685772112	0.9998010840823761

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify22.0ms (0.5%)

Memory

-3.3MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	340
1	49	340
2	52	340
3	54	340
4	55	340

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

soundness639.0ms (13.5%)

Memory

-4.1MiB live, 3.7MiB 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
0	160	363
1	504	318
2	1619	283
3	6181	283
0	8213	260
0	29	161
0	41	156
1	168	156
2	1347	156
0	8377	156

Stop Event

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

Compiler

Compiled 424 to 102 computations (75.9% saved)

preprocess41.0ms (0.9%)

Memory

6.3MiB live, 29.5MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 990 to 234 computations (76.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample894.0ms (19%)

explain88.0ms (1.9%)

preprocess372.0ms (7.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify290.0ms (6.1%)

localize22.0ms (0.5%)

series7.0ms (0.1%)

simplify114.0ms (2.4%)

rewrite161.0ms (3.4%)

eval54.0ms (1.1%)

prune10.0ms (0.2%)

simplify110.0ms (2.3%)

localize45.0ms (0.9%)

series13.0ms (0.3%)

simplify118.0ms (2.5%)

rewrite165.0ms (3.5%)

eval113.0ms (2.4%)

prune18.0ms (0.4%)

simplify118.0ms (2.5%)

localize44.0ms (0.9%)

series10.0ms (0.2%)

simplify105.0ms (2.2%)

rewrite144.0ms (3.1%)

eval87.0ms (1.9%)

prune23.0ms (0.5%)

simplify115.0ms (2.4%)

localize81.0ms (1.7%)

series44.0ms (0.9%)

simplify147.0ms (3.1%)

rewrite202.0ms (4.3%)

eval246.0ms (5.2%)

prune23.0ms (0.5%)

regimes14.0ms (0.3%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify22.0ms (0.5%)

soundness639.0ms (13.5%)

preprocess41.0ms (0.9%)

end0.0ms (0%)

Profiling