Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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)

sample2.0s (29.6%)

Memory

-136.0MiB live, 1 381.7MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 794.0ms

ival-add: 257.0ms (32.4% of total)

ival-mult: 251.0ms (31.6% of total)

ival-<: 124.0ms (15.6% of total)

ival-sub: 83.0ms (10.4% of total)

ival-div: 48.0ms (6% of total)

ival-and: 16.0ms (2% of total)

exact: 11.0ms (1.4% of total)

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

Bogosity

explain168.0ms (2.5%)

Memory

-4.8MiB live, 237.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
85	-	-	`(/.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)))`	o/o	46	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	46
↳	`(*.f64 y y)`	overflow	46
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	46
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	39	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	39
↳	`(*.f64 y y)`	underflow	80
↳	`(*.f64 x x)`	underflow	118
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	39

Confusion

	Predicted +	Predicted -
+	85	0
-	0	171

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	0
-	0	0	171

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	171
1	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 191 to 49 computations (74.3% saved)

Precisions

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

ival-mult: 10.0ms (46.4% of total)

ival-add: 5.0ms (23.2% of total)

ival-sub: 3.0ms (13.9% of total)

ival-div: 3.0ms (13.9% of total)

ival-true: 1.0ms (4.6% of total)

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

preprocess396.0ms (5.8%)

Memory

19.1MiB live, 252.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify302.0ms (4.4%)

Memory

-18.9MiB live, 179.1MiB 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)

localize45.0ms (0.7%)

Memory

3.6MiB live, 87.4MiB 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	20.983686488328125	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

38.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sub: 19.0ms (62% of total)

ival-mult: 7.0ms (22.8% of total)

ival-div: 2.0ms (6.5% of total)

ival-add: 2.0ms (6.5% of total)

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

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

series7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB 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))

simplify126.0ms (1.8%)

Memory

11.0MiB live, 166.7MiB 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)

rewrite176.0ms (2.6%)

Memory

-14.8MiB live, 217.6MiB 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)))
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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)))

eval65.0ms (1%)

Memory: -5.9MiB live, 154.3MiB allocated
Compiler: Compiled 17 676 to 1 859 computations (89.5% saved)

prune13.0ms (0.2%)

Memory

0.9MiB live, 47.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	576	7	583
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	577	7	584

Accuracy

99.6%

Counts

584 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.3%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
	66.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	39.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
	65.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)))
▶	29.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y) y #s(literal 1 binary64)))
▶	36.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	63.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 266 to 162 computations (39.1% saved)

simplify138.0ms (2%)

Memory

13.9MiB live, 170.7MiB 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)

localize50.0ms (0.7%)

Memory

12.5MiB live, 89.9MiB 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	16.93941598735689	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	20.983686488328125	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	0.13671875	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	6.131922159623679	(fma.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y) y #s(literal 1 binary64))
accuracy	7.8788244788087916	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) y)
accuracy	39.43525049318224	#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	40.60170616619357	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	23.22183032131837	#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	0.01171875	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
accuracy	20.235701649788112	(/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))

Samples

36.0ms

256×

valid

Compiler

Compiled 343 to 51 computations (85.1% saved)

Precisions

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

ival-mult: 8.0ms (36% of total)

ival-div: 6.0ms (27% of total)

ival-add: 6.0ms (27% of total)

ival-sub: 2.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-13.3MiB live, 25.4MiB 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
4.0ms	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)))
3.0ms	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	@	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)))

simplify169.0ms (2.5%)

Memory

-7.0MiB live, 228.8MiB 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)

rewrite162.0ms (2.4%)

Memory

-4.0MiB live, 275.9MiB 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))

eval141.0ms (2.1%)

Memory: 33.4MiB live, 304.5MiB allocated
Compiler: Compiled 36 818 to 3 480 computations (90.5% saved)

prune24.0ms (0.4%)

Memory

-2.4MiB live, 81.0MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 112	4	1 116
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	1 114	9	1 123

Accuracy

99.9%

Counts

1 123 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.3%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
▶	66.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	39.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	40.4%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
▶	65.3%	#s(approx (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
▶	38.3%	#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)))
▶	29.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
✓	36.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	63.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 289 to 175 computations (39.4% saved)

simplify137.0ms (2%)

Memory

11.1MiB live, 166.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	250
0	63	245
1	116	245
2	218	245
3	380	245
4	693	245
5	1316	245
6	2727	245
7	5966	245
0	8181	245

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (2.5%)

Memory

-27.6MiB live, 131.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 2 binary64) y)
accuracy	0.1171875	(fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
accuracy	0.14453125	(*.f64 x (/.f64 x y))
accuracy	22.189627265195995	#s(approx (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
accuracy	0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.140625	(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x)
accuracy	6.131922159623679	(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) x) y #s(literal 1 binary64))
accuracy	39.43525049318224	#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)))
accuracy	0	(*.f64 y y)
accuracy	0.14453125	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
accuracy	16.93941598735689	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	20.362456048440148	(/.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
accuracy	0	(*.f64 x x)
accuracy	0.13671875	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	14.268777283880546	(fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64))
accuracy	39.43525049318224	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	20.983686488328125	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))

Samples

130.0ms

256×

valid

Compiler

Compiled 464 to 76 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-div: 64.0ms (56.8% of total)

ival-add: 32.0ms (28.4% of total)

ival-mult: 14.0ms (12.4% of total)

ival-sub: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series22.0ms (0.3%)

Memory

6.3MiB live, 42.3MiB allocated

Counts

23 → 82

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (- x y) (+ x y) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ -2 (* x x)) (* y y)) 1) (/ -2 (* x x)) (* x x) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (/ (/ (* -2 y) x) x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (/ (* -2 y) x) x) y) 1) (/ (* -2 y) x) (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (+ (* (/ 2 y) (* x (/ x y))) -1) (/ 2 y) (* x (/ x y)) (* (- x y) (+ x y)) (* y y) (* -2 y))
5.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (- x y) (+ x y) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ -2 (* x x)) (* y y)) 1) (/ -2 (* x x)) (* x x) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (/ (/ (* -2 y) x) x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (/ (* -2 y) x) x) y) 1) (/ (* -2 y) x) (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (+ (* (/ 2 y) (* x (/ x y))) -1) (/ 2 y) (* x (/ x y)) (* (- x y) (+ x y)) (* y y) (* -2 y))
3.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (- x y) (+ x y) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ -2 (* x x)) (* y y)) 1) (/ -2 (* x x)) (* x x) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (/ (/ (* -2 y) x) x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (/ (* -2 y) x) x) y) 1) (/ (* -2 y) x) (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (+ (* (/ 2 y) (* x (/ x y))) -1) (/ 2 y) (* x (/ x y)) (* (- x y) (+ x y)) (* y y) (* -2 y))
3.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (- x y) (+ x y) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ -2 (* x x)) (* y y)) 1) (/ -2 (* x x)) (* x x) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (/ (/ (* -2 y) x) x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (/ (* -2 y) x) x) y) 1) (/ (* -2 y) x) (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (+ (* (/ 2 y) (* x (/ x y))) -1) (/ 2 y) (* x (/ x y)) (* (- x y) (+ x y)) (* y y) (* -2 y))
2.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (- x y) (+ x y) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ -2 (* x x)) (* y y)) 1) (/ -2 (* x x)) (* x x) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (+ y x) (+ (* x x) (* y y)) (/ (/ (* -2 y) x) x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (/ (* -2 y) x) x) y) 1) (/ (* -2 y) x) (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (+ (* (/ 2 y) (* x (/ x y))) -1) (/ 2 y) (* x (/ x y)) (* (- x y) (+ x y)) (* y y) (* -2 y))

simplify181.0ms (2.7%)

Memory

-5.5MiB live, 193.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	956
1	882	843
2	2659	774
0	8295	736

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 80

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

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

rewrite253.0ms (3.7%)

Memory

20.0MiB live, 261.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	222
0	63	217
1	252	217
2	2016	217
0	8534	217

Stop Event

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

Counts

23 → 1 066

Calls

Call 1

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

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

eval173.0ms (2.5%)

Memory: -33.5MiB live, 270.5MiB allocated
Compiler: Compiled 35 080 to 3 411 computations (90.3% saved)

prune22.0ms (0.3%)

Memory

-5.2MiB live, 70.9MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 080	2	1 082
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	1 080	11	1 091

Accuracy

99.9%

Counts

1 091 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.3%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
✓	66.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	39.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	40.4%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
▶	36.3%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)) x)) (-.f64 x y))
▶	37.9%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
✓	65.3%	#s(approx (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	38.3%	#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)))
✓	29.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
✓	36.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	63.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 232 to 140 computations (39.7% saved)

simplify175.0ms (2.6%)

Memory

13.0MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)) x)
cost-diff	0	#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)) x))
cost-diff	0	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)) x)) (-.f64 x y))
cost-diff	6464	(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	188
0	35	188
1	59	188
2	130	188
3	318	188
4	932	188
5	2758	188
6	5118	180
7	7017	180
8	7440	180
9	7584	180
10	7624	180
11	7636	180
0	8024	172

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (1.3%)

Memory

0.6MiB live, 122.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
accuracy	0.14453125	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)) x)) (-.f64 x y))
accuracy	0.2455063476844201	(pow.f64 (/.f64 y x) #s(literal 3 binary64))
accuracy	40.69643901372988	#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(-.f64 x y)
accuracy	0.14453125	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
accuracy	39.77561067522731	#s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x))

Samples

52.0ms

256×

valid

Compiler

Compiled 330 to 45 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 23.0ms (57.2% of total)

ival-div: 8.0ms (19.9% of total)

ival-add: 4.0ms (9.9% of total)

ival-sub: 3.0ms (7.5% of total)

ival-pow: 2.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

10 → 82

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 x) (- x y) (+ (- 1 (pow (/ y x) 3)) (/ (* y (- 1 (/ y x))) x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (* y (- 1 (/ y x))) x)) x) (pow (/ y x) 3) (/ (* y (- 1 (/ y x))) x))
2.0ms	y	@	inf	((* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 x) (- x y) (+ (- 1 (pow (/ y x) 3)) (/ (* y (- 1 (/ y x))) x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (* y (- 1 (/ y x))) x)) x) (pow (/ y x) 3) (/ (* y (- 1 (/ y x))) x))
2.0ms	y	@	-inf	((* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 x) (- x y) (+ (- 1 (pow (/ y x) 3)) (/ (* y (- 1 (/ y x))) x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (* y (- 1 (/ y x))) x)) x) (pow (/ y x) 3) (/ (* y (- 1 (/ y x))) x))
2.0ms	x	@	0	((* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 x) (- x y) (+ (- 1 (pow (/ y x) 3)) (/ (* y (- 1 (/ y x))) x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (* y (- 1 (/ y x))) x)) x) (pow (/ y x) 3) (/ (* y (- 1 (/ y x))) x))
2.0ms	y	@	0	((* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 x) (- x y) (+ (- 1 (pow (/ y x) 3)) (/ (* y (- 1 (/ y x))) x)) (* (/ (+ y x) (+ (* x x) (* y y))) (- x y)) (/ (+ y x) (+ (* x x) (* y y))) (/ (+ (- 1 (pow (/ y x) 3)) (/ (* y (- 1 (/ y x))) x)) x) (pow (/ y x) 3) (/ (* y (- 1 (/ y x))) x))

simplify173.0ms (2.5%)

Memory

-8.1MiB live, 142.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	1267
1	1068	1160
2	3384	1067
0	8294	1036

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 81

Calls

Call 1

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

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

rewrite227.0ms (3.3%)

Memory

-13.1MiB live, 182.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	156
0	35	156
1	156	156
2	1398	156
0	8649	148

Stop Event

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

Counts

10 → 445

Calls

Call 1

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

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

eval129.0ms (1.9%)

Memory: 26.3MiB live, 114.7MiB allocated
Compiler: Compiled 27 263 to 2 793 computations (89.8% saved)

prune35.0ms (0.5%)

Memory

-30.3MiB live, 41.4MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	532	3	535
Fresh	0	0	0
Picked	1	1	2
Done	0	9	9
Total	533	13	546

Accuracy

99.9%

Counts

546 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.3%	(/.f64 (-.f64 x y) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
✓	66.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	39.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	40.4%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))) (-.f64 x y))
	36.3%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) x)))
	36.3%	(.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 #s(approx (/ (+ y x) (+ (* x x) (* y y))) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
✓	37.9%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
	34.9%	(.f64 #s(approx (/ (+ y x) (+ ( x x) (* y y))) (exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))) #s(literal -1 binary64)))) (-.f64 x y))
✓	65.3%	#s(approx (/ (- x y) (/ (+ (* y y) (* x x)) (+ y x))) (fma.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
✓	38.3%	#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)))
✓	29.5%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 y y) #s(literal 1 binary64)))
✓	36.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	63.7%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 744 to 276 computations (62.9% saved)

regimes16.0ms (0.2%)

Memory

30.5MiB live, 30.5MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.7%	2	`x`
93.5%	3	`y`
92.0%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes10.0ms (0.1%)

Memory

-23.8MiB live, 12.9MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	y
3.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
83.3%	2	`y`
91.5%	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)

regimes3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
90.7%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
90.7%	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

8.5MiB live, 8.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
90.6%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.7%	1	`x`
63.7%	1	`y`
63.7%	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

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9987568818847898	0.5986568026794732

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9987568818847898	0.5986568026794732

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9987568818847898	0.5986568026794732

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9987568818847898	0.5986568026794732

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify40.0ms (0.6%)

Memory

-37.8MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	470
1	56	470
2	59	470
3	61	470
4	62	470

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness778.0ms (11.4%)

Memory

-4.4MiB live, 364.7MiB 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

Stop Event

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

Compiler

Compiled 535 to 95 computations (82.2% saved)

preprocess131.0ms (1.9%)

Memory

-8.8MiB live, 75.7MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 1 286 to 262 computations (79.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample2.0s (29.6%)

explain168.0ms (2.5%)

preprocess396.0ms (5.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify302.0ms (4.4%)

localize45.0ms (0.7%)

series7.0ms (0.1%)

simplify126.0ms (1.8%)

rewrite176.0ms (2.6%)

eval65.0ms (1%)

prune13.0ms (0.2%)

simplify138.0ms (2%)

localize50.0ms (0.7%)

series16.0ms (0.2%)

simplify169.0ms (2.5%)

rewrite162.0ms (2.4%)

eval141.0ms (2.1%)

prune24.0ms (0.4%)

simplify137.0ms (2%)

localize171.0ms (2.5%)

series22.0ms (0.3%)

simplify181.0ms (2.7%)

rewrite253.0ms (3.7%)

eval173.0ms (2.5%)

prune22.0ms (0.3%)

simplify175.0ms (2.6%)

localize87.0ms (1.3%)

series14.0ms (0.2%)

simplify173.0ms (2.5%)

rewrite227.0ms (3.3%)

eval129.0ms (1.9%)

prune35.0ms (0.5%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify40.0ms (0.6%)

soundness778.0ms (11.4%)

preprocess131.0ms (1.9%)

end0.0ms (0%)

Profiling