Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 17 computations (37% saved)

sample1.2s (18.7%)

Memory

76.6MiB live, 2 107.7MiB allocated

Samples

769.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 557.0ms

ival-mult: 186.0ms (33.4% of total)

ival-add: 119.0ms (21.4% of total)

ival-sub: 77.0ms (13.8% of total)

ival-div: 75.0ms (13.5% of total)

ival-<: 66.0ms (11.8% of total)

ival-and: 18.0ms (3.2% of total)

exact: 12.0ms (2.2% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain110.0ms (1.7%)

Memory

-4.3MiB live, 233.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
85	-	1	(2.3260322237482106e-157 4.713681785754014e-158)	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	0	-	`(*.f64 (-.f64 x y) (+.f64 x y))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	42	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	42
↳	`(*.f64 y y)`	overflow	42
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	42
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	42	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	42
↳	`(*.f64 y y)`	underflow	87
↳	`(*.f64 x x)`	underflow	117
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	42

Confusion

	Predicted +	Predicted -
+	84	1
-	0	171

Precision

1.0

Recall

0.9882352941176471

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	1
-	0	0	171

Precision?

1.0

Recall?

0.9882352941176471

Freqs

test

number	freq
0	172
1	84

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 10.0ms (42.5% of total)

ival-sub: 5.0ms (21.3% of total)

ival-add: 5.0ms (21.3% of total)

ival-div: 3.0ms (12.8% of total)

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

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

preprocess181.0ms (2.8%)

Memory

33.7MiB live, 219.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	95	78
2	279	78
3	636	75
4	1517	75
5	2686	75
6	5494	75
0	9	15
0	16	15
1	37	15
2	99	15
3	277	15
4	526	15
5	1090	15
6	2476	15
7	4714	15
8	7410	15
0	8026	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 (.f64 (+.f64 y x) (-.f64 x y)) (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
▶	67.0%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify91.0ms (1.4%)

Memory

-13.0MiB live, 127.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 (-.f64 x y) (+.f64 x y))
cost-diff	0	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
cost-diff	1	(+.f64 (.f64 x x) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	16	43
1	37	43
2	99	43
3	277	43
4	526	43
5	1090	43
6	2476	43
7	4714	43
8	7410	43
0	8026	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 (.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 y y (.f64 x x)))
(*.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (-.f64 x y))
(-.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)

localize34.0ms (0.5%)

Memory

19.5MiB live, 72.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 y y))
accuracy	0.0078125	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	20.83985574345392	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Samples

20.0ms

256×

valid

Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions

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

ival-mult: 5.0ms (48% of total)

ival-sub: 2.0ms (19.2% of total)

ival-div: 2.0ms (19.2% of total)

ival-add: 2.0ms (19.2% of total)

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

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

series9.0ms (0.1%)

Memory

-27.0MiB live, 19.5MiB allocated

Counts

5 → 44

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

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

Calls

6 calls:

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

simplify147.0ms (2.3%)

Memory

17.8MiB live, 245.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	518
1	606	420
2	2601	401
0	8179	386

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

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

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

rewrite47.0ms (0.7%)

Memory

18.0MiB live, 62.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	16	35
1	69	35
0	622	33

Stop Event

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

Counts

5 → 140

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

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

eval26.0ms (0.4%)

Memory: -15.0MiB live, 38.7MiB allocated
Compiler: Compiled 3 716 to 551 computations (85.2% saved)

prune7.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	159	9	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	9	169

Accuracy

99.3%

Counts

169 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	41.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	40.6%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (*.f64 y y)))
	27.0%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	67.6%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	35.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
	67.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)))
	32.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	66.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 346 to 208 computations (39.9% saved)

simplify130.0ms (2%)

Memory

-12.0MiB live, 119.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	198
0	43	193
1	78	193
2	157	193
3	351	193
4	687	193
5	1430	193
6	3291	193
7	6985	193
0	8030	193

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1.6%)

Memory

28.1MiB live, 176.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	20.83985574345392	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
accuracy	0.0	(neg.f64 y)
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 y y))
accuracy	16.400256016589793	#s(approx (* (- x y) (+ x y)) (*.f64 (neg.f64 y) y))
accuracy	20.83985574345392	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (+.f64 (.f64 x x) (*.f64 y y)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0078125	(*.f64 (-.f64 x y) (+.f64 x y))
accuracy	16.245960800226907	#s(approx (+ (* x x) (* y y)) (*.f64 y y))
accuracy	20.83985574345392	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
accuracy	21.65821450280024	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	0.19921875	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
accuracy	19.95991071778103	(/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))

Samples

85.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sub: 21.0ms (49.1% of total)

ival-div: 8.0ms (18.7% of total)

ival-mult: 8.0ms (18.7% of total)

ival-add: 5.0ms (11.7% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-20.6MiB live, 25.6MiB allocated

Counts

18 → 70

Calls

Call 1

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

Calls

6 calls:

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

simplify143.0ms (2.2%)

Memory

3.0MiB live, 290.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	276	852
1	899	726
2	3376	697
0	8270	672

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

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

rewrite195.0ms (3%)

Memory

29.3MiB live, 305.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	158
0	43	153
1	135	153
2	1053	153
0	9250	153

Stop Event

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

Counts

18 → 1 036

Calls

Call 1

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

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

eval336.0ms (5.2%)

Memory: -76.1MiB live, 346.6MiB allocated
Compiler: Compiled 44 205 to 3 359 computations (92.4% saved)

prune62.0ms (1%)

Memory

-10.7MiB live, 93.3MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 280	10	1 290
Fresh	1	3	4
Picked	1	4	5
Done	0	0	0
Total	1 282	17	1 299

Accuracy

99.6%

Counts

1 299 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.1%	(/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
✓	67.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	41.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
	40.6%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
▶	27.0%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
	66.6%	(.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x))) (.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))) (fma.f64 y y (.f64 x x))) (-.f64 x y))
✓	67.6%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
	41.9%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
	66.4%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)) (-.f64 x y))
	67.1%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))
	32.4%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) x)) (-.f64 x y))
▶	66.6%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.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)) (-.f64 x y))
	66.5%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y))
▶	35.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
▶	67.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)))
▶	32.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	66.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 750 to 402 computations (46.4% saved)

simplify178.0ms (2.8%)

Memory

15.2MiB live, 156.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	315
0	66	312
1	129	312
2	325	312
3	1124	312
4	4319	312
5	7891	312
0	8319	308

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.9%)

Memory

-11.5MiB live, 234.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.09375	(fma.f64 (neg.f64 x) (/.f64 x y) x)
accuracy	0.19921875	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.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)) (-.f64 x y))
accuracy	0.3366776367581883	(pow.f64 (/.f64 x y) #s(literal 3 binary64))
accuracy	21.29365860125933	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.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))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) y)
accuracy	0.17578125	(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))
accuracy	41.4926834745467	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 y y (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	20.83985574345392	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))
accuracy	35.91965968332937	#s(approx (* (- x y) (+ x y)) (*.f64 x x))
accuracy	43.108693855159274	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	5.758687807710062	(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) y) y)
accuracy	10.946846049404087	(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) y)
accuracy	20.3609006320111	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)))

Samples

74.0ms

256×

valid

Compiler

Compiled 253 to 38 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 15.0ms (32% of total)

ival-mult: 12.0ms (25.6% of total)

ival-add: 10.0ms (21.4% of total)

ival-sub: 4.0ms (8.5% of total)

ival-pow: 3.0ms (6.4% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

series92.0ms (1.4%)

Memory

1.1MiB live, 93.1MiB allocated

Counts

21 → 101

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (/ (* (* x x) 2) y) y) 1) (/ (/ (* (* x x) 2) y) y) (/ (* (* x x) 2) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (* x x) 2) (/ y x) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
30.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (/ (* (* x x) 2) y) y) 1) (/ (/ (* (* x x) 2) y) y) (/ (* (* x x) 2) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (* x x) 2) (/ y x) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
7.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (/ (* (* x x) 2) y) y) 1) (/ (/ (* (* x x) 2) y) y) (/ (* (* x x) 2) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (* x x) 2) (/ y x) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
6.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (/ (* (* x x) 2) y) y) 1) (/ (/ (* (* x x) 2) y) y) (/ (* (* x x) 2) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (* x x) 2) (/ y x) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))
5.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (/ (* (* x x) 2) y) y) 1) (/ (/ (* (* x x) 2) y) y) (/ (* (* x x) 2) y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (* x x) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* -2 y) x) (/ y x)) 1) (/ (* -2 y) x) (* -2 y) (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) (* (/ (+ y x) (+ (* y y) (* x x))) (- x y)) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) y) (* (* x x) 2) (/ y x) (pow (/ x y) 3) (+ (* (neg x) (/ x y)) x))

simplify158.0ms (2.4%)

Memory

21.8MiB live, 306.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	384	1491
1	1265	1301
2	4841	1261
0	8416	1228

Stop Event

1×	iter limit
1×	node limit

Counts

101 → 100

Calls

Call 1

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

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

rewrite311.0ms (4.8%)

Memory

-2.2MiB live, 381.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	273
0	66	270
1	255	264
2	2265	262
0	10117	260

Stop Event

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

Counts

21 → 395

Calls

Call 1

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

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

eval138.0ms (2.1%)

Memory: 1.4MiB live, 234.7MiB allocated
Compiler: Compiled 21 738 to 2 579 computations (88.1% saved)

prune21.0ms (0.3%)

Memory

35.0MiB live, 79.1MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	502	8	510
Fresh	5	3	8
Picked	2	3	5
Done	0	4	4
Total	509	18	527

Accuracy

99.6%

Counts

527 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	41.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
	66.6%	(.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x))) (.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))) (fma.f64 y y (.f64 x x))) (-.f64 x y))
✓	67.6%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
▶	41.9%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
	35.8%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))) (.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))))) y)) (-.f64 x y))
	67.1%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 x y))
▶	32.4%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)) (-.f64 x y))
✓	66.6%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.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)) (-.f64 x y))
▶	66.5%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(approx (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) #s(literal 1 binary64)) y)) (-.f64 x y))
	66.6%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))) (-.f64 x y))
✓	35.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
	28.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
▶	68.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) y)) y) #s(literal 1 binary64)))
	58.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)))
▶	27.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 x x))))
✓	32.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	66.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 974 to 495 computations (49.2% saved)

simplify123.0ms (1.9%)

Memory

-32.5MiB live, 253.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	451
0	83	447
1	170	443
2	434	443
3	1603	443
4	5692	443
0	8235	432

Stop Event

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

Calls

Call 1

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

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

localize197.0ms (3.1%)

Memory

2.9MiB live, 251.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)
accuracy	0.19921875	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)) (-.f64 x y))
accuracy	0.2751351074528622	(pow.f64 (/.f64 y x) #s(literal 3 binary64))
accuracy	43.17617442192709	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	22.080077865676436	(/.f64 (fma.f64 (.f64 y y) #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 x x))
accuracy	41.4926834745467	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 x x))))
accuracy	0.0	(*.f64 y y)
accuracy	0.19921875	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
accuracy	16.245960800226907	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	19.95991071778103	(/.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	0.03515625	(/.f64 #s(approx (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) #s(literal 1 binary64)) y)
accuracy	0.19921875	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(approx (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) #s(literal 1 binary64)) y)) (-.f64 x y))
accuracy	21.29365860125933	#s(approx (/ (+ y x) (+ (* y y) (* x x))) (/.f64 #s(approx (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) #s(literal 1 binary64)) y))
accuracy	22.431012820594876	#s(approx (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.16796875	(.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) y))
accuracy	5.758687807710062	(/.f64 (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) y)) y)
accuracy	20.3609006320111	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) y)) y) #s(literal 1 binary64)))

Samples

116.0ms

256×

valid

Compiler

Compiled 333 to 46 computations (86.2% saved)

Precisions

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

ival-div: 31.0ms (34.3% of total)

ival-add: 31.0ms (34.3% of total)

ival-mult: 13.0ms (14.4% of total)

ival-sub: 6.0ms (6.6% of total)

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

ival-neg: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series27.0ms (0.4%)

Memory

27.2MiB live, 27.2MiB allocated

Counts

25 → 123

Calls

Call 1

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

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

Calls

6 calls:

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

simplify241.0ms (3.7%)

Memory

-19.8MiB live, 314.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	453	1999
1	1520	1784
2	5891	1755
0	8463	1710

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 121

Calls

Call 1

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

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

rewrite277.0ms (4.3%)

Memory

-12.8MiB live, 383.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	397
0	83	393
1	350	383
2	3258	383
0	8436	374

Stop Event

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

Counts

25 → 492

Calls

Call 1

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

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

eval121.0ms (1.9%)

Memory: -3.5MiB live, 226.3MiB allocated
Compiler: Compiled 23 098 to 2 865 computations (87.6% saved)

prune32.0ms (0.5%)

Memory

0.1MiB live, 99.9MiB allocated

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	610	5	615
Fresh	2	4	6
Picked	2	3	5
Done	0	7	7
Total	614	19	633

Accuracy

99.6%

Counts

633 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	41.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
	66.6%	(.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x))) (.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))) (fma.f64 y y (.f64 x x))) (-.f64 x y))
✓	67.6%	(.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (-.f64 x y))
✓	41.9%	(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
	35.8%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))) (.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))))) y)) (-.f64 x y))
✓	32.4%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) x)) (-.f64 x y))
	23.3%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 y x)))))) x)) (-.f64 x y))
✓	66.6%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.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)) (-.f64 x y))
✓	66.5%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(approx (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) #s(literal 1 binary64)) y)) (-.f64 x y))
	66.6%	(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y))) (-.f64 x y))
✓	35.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
	28.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
	68.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 #s(literal -1 binary64) (/.f64 x y) (-.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal 2 binary64) x) y) #s(literal 1 binary64))))
	58.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)))
	68.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (*.f64 x (/.f64 (+.f64 x x) y)) y) #s(literal 1 binary64)))
	27.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (*.f64 x x))))
✓	32.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	66.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 1 578 to 514 computations (67.4% saved)

regimes62.0ms (1%)

Memory

-4.7MiB live, 88.3MiB allocated

Counts

33 → 2

Calls

Call 1

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

Calls

3 calls:

41.0ms	x
10.0ms	y
10.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
84.5%	2	`x`
90.6%	3	`y`
93.5%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes6.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
93.0%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
92.5%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes12.0ms (0.2%)

Memory

-38.1MiB live, 8.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
91.3%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
91.3%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

7.7MiB live, 7.7MiB 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) (+ ( y y) (* x x))) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y))
(.f64 #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 #s(approx (+ (- 1 (pow (/ x y) 3)) (/ (+ (* (neg x) (/ x y)) x) y)) #s(literal 1 binary64)) y)) (-.f64 x y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y))) (-.f64 x y))
(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 x x)) (fma.f64 y y (.f64 x x)))

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
91.3%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
91.1%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
91.1%	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

10.9MiB live, 10.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.2%	1	`x`
66.2%	1	`y`
66.2%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.606409003880868	0.9211066247401378

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	-0.606409003880868	0.9211066247401378

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch5.0ms (0.1%)

Memory

-46.1MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.606409003880868	0.9211066247401378

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.606409003880868	0.9211066247401378

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.606409003880868	0.9211066247401378

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.606409003880868	0.9211066247401378

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch33.0ms (0.5%)

Memory

24.2MiB live, 66.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.0	NaN
13.0ms	-0.606409003880868	0.9211066247401378

Samples

12.0ms	416×	0	valid
2.0ms	101×	0	invalid

Compiler

Compiled 902 to 638 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

simplify66.0ms (1%)

Memory

9.8MiB live, 98.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	820
1	116	820
2	195	820
3	393	820
4	661	820
5	1203	820
6	2578	820
7	4820	820
8	7516	820

Stop Event

1×	node limit

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

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

soundness1.2s (19.2%)

Memory

4.6MiB live, 1 223.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	518
1	606	420
2	2601	401
0	8179	386
0	55	397
0	83	393
1	350	383
2	3258	383
0	8436	374
0	42	273
0	66	270
1	255	264
2	2265	262
0	10117	260
0	9	35
0	16	35
1	69	35
0	622	33
0	276	852
1	899	726
2	3376	697
0	8270	672
0	384	1491
1	1265	1301
2	4841	1261
0	8416	1228

Stop Event

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

Compiler

Compiled 1 654 to 503 computations (69.6% saved)

preprocess114.0ms (1.8%)

Memory

-27.7MiB live, 155.7MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 2 022 to 322 computations (84.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.2s (18.7%)

explain110.0ms (1.7%)

preprocess181.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify91.0ms (1.4%)

localize34.0ms (0.5%)

series9.0ms (0.1%)

simplify147.0ms (2.3%)

rewrite47.0ms (0.7%)

eval26.0ms (0.4%)

prune7.0ms (0.1%)

simplify130.0ms (2%)

localize100.0ms (1.6%)

series12.0ms (0.2%)

simplify143.0ms (2.2%)

rewrite195.0ms (3%)

eval336.0ms (5.2%)

prune62.0ms (1%)

simplify178.0ms (2.8%)

localize122.0ms (1.9%)

series92.0ms (1.4%)

simplify158.0ms (2.4%)

rewrite311.0ms (4.8%)

eval138.0ms (2.1%)

prune21.0ms (0.3%)

simplify123.0ms (1.9%)

localize197.0ms (3.1%)

series27.0ms (0.4%)

simplify241.0ms (3.7%)

rewrite277.0ms (4.3%)

eval121.0ms (1.9%)

prune32.0ms (0.5%)

regimes62.0ms (1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch33.0ms (0.5%)

simplify66.0ms (1%)

soundness1.2s (19.2%)

preprocess114.0ms (1.8%)

end0.0ms (0%)

Profiling