Metrics for Kahan p9 Example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze5.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

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)

sample907.0ms (31.2%)

Memory

43.4MiB live, 1 222.3MiB allocated; 197ms collecting garbage

Samples

554.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 374.0ms

ival-mult: 159.0ms (42.5% of total)

ival-add: 90.0ms (24.1% of total)

ival-div: 67.0ms (17.9% of total)

ival-sub: 54.0ms (14.4% of total)

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

adjust: 2.0ms (0.5% of total)

Bogosity

explain125.0ms (4.3%)

Memory

-3.2MiB live, 189.8MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
70	-	-	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	-	`(*.f64 (-.f64 x y) (+.f64 x y))`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`y`
0	-	-	`(+.f64 x y)`
0	-	-	`(-.f64 x y)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	43	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	43
↳	`(*.f64 y y)`	underflow	95
↳	`(*.f64 x x)`	underflow	111
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	43
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	27	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	27
↳	`(*.f64 y y)`	overflow	27
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	27

Confusion

	Predicted +	Predicted -
+	70	0
-	0	186

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	0
-	0	0	186

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	186
1	70

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions

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

ival-mult: 9.0ms (45.4% of total)

ival-add: 4.0ms (20.2% of total)

ival-sub: 3.0ms (15.1% of total)

ival-div: 3.0ms (15.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess137.0ms (4.7%)

Memory

-15.0MiB live, 216.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	99
1	113	93
2	315	93
3	738	90
4	1772	90
5	2940	90
6	5644	90
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 x)

(abs y)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.6%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Compiler

Compiled 15 to 9 computations (40% saved)

series10.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

9 → 56

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
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

rewrite189.0ms (6.5%)

Memory

9.7MiB live, 296.9MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1353
0	265	1235
1	1628	1198
0	8306	1149

Stop Event

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

Counts

65 → 153

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)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

eval19.0ms (0.6%)

Memory: 0.1MiB live, 46.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 848 to 616 computations (84% saved)

prune10.0ms (0.3%)

Memory

-21.7MiB live, 25.0MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	155	10	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	10	166

Accuracy

99.6%

Counts

166 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	34.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
▶	40.7%	(/.f64 #s(approx (* (- x y) (+ x y)) (neg.f64 (.f64 y y))) (+.f64 (.f64 x x) (*.f64 y y)))
▶	72.8%	(.f64 (-.f64 x y) (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
▶	43.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
	43.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) y) #s(literal -1 binary64) (/.f64 (fma.f64 y y (.f64 #s(literal 1 binary64) (*.f64 y y))) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)))
	60.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
	60.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
	42.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	58.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 450 to 268 computations (40.4% saved)

series18.0ms (0.6%)

Memory

-13.1MiB live, 33.5MiB allocated; 4ms collecting garbage

Counts

26 → 115

Calls

Call 1

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

Outputs
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 -1))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole 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)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ 1 y)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (/ 1 y) (/ x (pow y 2)))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (* -2 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (pow (/ y x) 2) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 1))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole 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)))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (+ 1 (/ y x)) x)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ y x)) 1) x))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole 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))))))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (/ 1 x) (/ y (pow x 2)))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (neg (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole 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)))))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (+ 1 (/ x y)) y)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ x y)) 1) y))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (- x y) (+ x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) (- x y) x y (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* x x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) -1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y 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)) (* y y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) 2 -2 1)
3.0ms	x	@	-inf	((* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) (- x y) x y (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* x x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) -1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y 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)) (* y y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) 2 -2 1)
3.0ms	y	@	inf	((* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) (- x y) x y (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* x x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) -1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y 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)) (* y y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) 2 -2 1)
2.0ms	x	@	0	((* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) (- x y) x y (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* x x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) -1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y 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)) (* y y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) 2 -2 1)
2.0ms	x	@	inf	((* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) (- x y) x y (/ (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* x x) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) -1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y 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)) (* y y) (+ (* x x) (* y y)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) 2 -2 1)

rewrite174.0ms (6%)

Memory

0.8MiB live, 287.4MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	428	3053
0	452	2777
1	2486	2703
0	8463	2664

Stop Event

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

Counts

141 → 343

Calls

Call 1

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

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

eval44.0ms (1.5%)

Memory: 10.2MiB live, 103.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 9 366 to 1 244 computations (86.7% saved)

prune13.0ms (0.4%)

Memory

-14.8MiB live, 40.8MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	365	8	373
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	371	12	383

Accuracy

99.6%

Counts

383 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.7%	(/.f64 #s(approx (* (- x y) (+ x y)) (.f64 (neg.f64 y) y)) (fma.f64 y y (.f64 x x)))
✓	72.8%	(.f64 (-.f64 x y) (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
▶	41.7%	(.f64 (-.f64 x y) (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))))
	41.6%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x)))
	58.2%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)))
	59.4%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
	34.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	43.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	60.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
▶	60.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
▶	42.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(literal 1 binary64)))
✓	58.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 573 to 343 computations (40.1% saved)

series17.0ms (0.6%)

Memory

42.1MiB live, 42.1MiB allocated; 0ms collecting garbage

Counts

27 → 112

Calls

Call 1

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

Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (- (* (pow (/ x y) 2) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (pow (/ x y) 2) 2) 1) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (* (pow (/ x y) 2) 2) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (pow (/ x y) 2) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (* -2 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 -1))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole 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)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (/ 1 y)))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (+ (/ 1 y) (/ x (pow y 2)))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (+ (* (* (/ y x) (/ y x)) -2) 1) #s(hole binary64 (* -2 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (* (/ y x) (/ y x)) -2) 1) #s(hole binary64 (/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (* (/ y x) (/ y x)) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (- (+ (* 0 (/ x y)) (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))) #s(hole binary64 -1))
#s(approx (- (+ (* 0 (/ x y)) (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (+ (* 0 (/ x y)) (pow (/ x y) 2)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (- 1 (pow (/ x y) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (/ x y) 2)) #s(hole binary64 (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (- (* (pow (/ x y) 2) 2) 1) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (- (* (pow (/ x y) 2) 2) 1) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 1))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole 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)))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (/ (+ 1 (/ y x)) x)))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (* (/ y x) (/ y x)) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ y x) (/ y x)) -2) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (* 0 (/ x y)) (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (- (+ (* 0 (/ x y)) (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))))
#s(approx (- 1 (pow (/ x y) 2)) #s(hole binary64 (* -1 (/ (pow x 2) (pow y 2)))))
#s(approx (- 1 (pow (/ x y) 2)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (* -1 (/ (- (* -1 (/ y x)) 1) x))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (- (* (pow (/ x y) 2) 2) 1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))))
#s(approx y #s(hole binary64 y))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole 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))))))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (+ (/ 1 x) (/ y (pow x 2)))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (+ (* 0 (/ x y)) (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))))
#s(approx (- 1 (pow (/ x y) 2)) #s(hole binary64 (/ (- (pow y 2) (pow x 2)) (pow y 2))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole 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)))))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (/ (+ 1 (/ x y)) y)))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* (* (/ y x) (/ y x)) -2) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* x x) (* y y)))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (* -1 (/ (- (* -1 (/ x y)) 1) y))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))))
#s(approx (/ (+ y x) (+ (* x x) (* y y))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

rewrite166.0ms (5.7%)

Memory

-39.1MiB live, 291.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	417	3207
0	442	2860
1	2417	2786
0	8667	2685

Stop Event

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

Counts

139 → 354

Calls

Call 1

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

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

eval77.0ms (2.7%)

Memory: 27.9MiB live, 127.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 15 264 to 1 702 computations (88.8% saved)

prune57.0ms (1.9%)

Memory

-9.5MiB live, 37.9MiB allocated; 3ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	449	3	452
Fresh	1	4	5
Picked	2	3	5
Done	0	2	2
Total	452	12	464

Accuracy

99.6%

Counts

464 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.8%	(.f64 (-.f64 x y) (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
✓	41.7%	(.f64 (-.f64 x y) (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))))
	41.6%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x)))
	58.2%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)))
▶	59.4%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
▶	34.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	43.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	60.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
▶	52.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64)))
▶	60.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	42.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(literal 1 binary64)))
✓	58.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 517 to 310 computations (40% saved)

series32.0ms (1.1%)

Memory

-1.8MiB live, 45.3MiB allocated; 3ms collecting garbage

Counts

30 → 115

Calls

Call 1

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

Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))
#s(approx (- (* (* (/ x y) (/ x y)) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (* (/ x y) (/ x y)) 2) 1) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (* (* (/ x y) (/ x y)) 2) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (* (/ x y) (/ x y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ (* y y) (* x x)) -2) 1) #s(hole binary64 (* -2 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (/ (* y y) (* x x)) -2) 1) #s(hole binary64 (/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (/ (* y y) (* x x)) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (* (* x x) 2) (* y y)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* (* x x) 2) (* y y)) 1) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (* x x) 2) (* y y)) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 -1))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole 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)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ 1 y)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (/ 1 y) (/ x (pow y 2)))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (* x (+ (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))
#s(approx (/ (+ (/ x y) 1) y) #s(hole binary64 (/ 1 y)))
#s(approx (/ (+ (/ x y) 1) y) #s(hole binary64 (+ (/ 1 y) (/ x (pow y 2)))))
#s(approx (+ (/ x y) 1) #s(hole binary64 1))
#s(approx (+ (/ x y) 1) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) #s(hole binary64 -1))
#s(approx (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (+ (* (/ x y) (/ x y)) 0) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (- 1 (pow (/ x y) 2)) #s(hole binary64 1))
#s(approx (- 1 (pow (/ x y) 2)) #s(hole binary64 (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (/ x y) 2) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))
#s(approx (- (* (* (/ x y) (/ x y)) 2) 1) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (- (* (* (/ x y) (/ x y)) 2) 1) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (* y y) (* x x)) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* y y) (* x x)) -2) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (- (/ (* (* x x) 2) (* y y)) 1) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (- (/ (* (* x x) 2) (* y y)) 1) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 1))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole 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)))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (+ 1 (/ y x)) x)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ y x))) (/ (pow y 2) (pow x 2))) x)))
#s(approx (/ (+ (/ x y) 1) y) #s(hole binary64 (/ x (pow y 2))))
#s(approx (/ (+ (/ x y) 1) y) #s(hole binary64 (* x (+ (/ 1 (* x y)) (/ 1 (pow y 2))))))
#s(approx (+ (/ x y) 1) #s(hole binary64 (/ x y)))
#s(approx (+ (/ x y) 1) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y)))))
#s(approx (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))))
#s(approx (- 1 (pow (/ x y) 2)) #s(hole binary64 (* -1 (/ (pow x 2) (pow y 2)))))
#s(approx (- 1 (pow (/ x y) 2)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) (* -1 (/ (pow y 2) x))) x)))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (- (pow y 2) (* -1 (pow y 2)))) (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x))) x))) x)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ y x)) 1) x))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) 1) x))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ y (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x))) x)) 1) x))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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))))))))
#s(approx (- (* (* (/ x y) (/ x y)) 2) 1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (/ (* (* x x) 2) (* y y)) 1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole 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))))))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (/ 1 x) (/ y (pow x 2)))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (+ (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (/ (+ (/ x y) 1) y) #s(hole binary64 (/ (+ x y) (pow y 2))))
#s(approx (+ (/ x y) 1) #s(hole binary64 (/ (+ x y) y)))
#s(approx (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))))
#s(approx (- 1 (pow (/ x y) 2)) #s(hole binary64 (/ (- (pow y 2) (pow x 2)) (pow y 2))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole 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)))))))
#s(approx (+ (* (/ (* y y) (* x x)) -2) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole 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)))))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (+ 1 (/ x y)) y)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ x y))) (/ (pow x 2) (pow y 2))) y)))
#s(approx (/ (+ (/ x y) 1) y) #s(hole binary64 (/ (+ 1 (/ x y)) y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ x y)) 1) y))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y)) 1) y))))
#s(approx (/ (+ y x) (+ (* y y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ x (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) y)) 1) y))))
#s(approx (/ (+ (/ x y) 1) y) #s(hole binary64 (* -1 (/ (- (* -1 (/ x y)) 1) y))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (* (/ x y) (/ x y)) 2) 1) (* (* (/ x y) (/ x y)) 2) (* (/ x y) (/ x y)) (/ x y) x y 2 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* y y) (* x x) -2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (* (* x x) 2) (* y y)) 1) (/ (* (* x x) 2) (* y y)) (* (* x x) 2) (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) (- x y) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (/ x y) 1) y) (+ (/ x y) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) (+ (* (/ x y) (/ x y)) 0) 0 (- 1 (pow (/ x y) 2)) (pow (/ x y) 2))
5.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (* (/ x y) (/ x y)) 2) 1) (* (* (/ x y) (/ x y)) 2) (* (/ x y) (/ x y)) (/ x y) x y 2 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* y y) (* x x) -2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (* (* x x) 2) (* y y)) 1) (/ (* (* x x) 2) (* y y)) (* (* x x) 2) (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) (- x y) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (/ x y) 1) y) (+ (/ x y) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) (+ (* (/ x y) (/ x y)) 0) 0 (- 1 (pow (/ x y) 2)) (pow (/ x y) 2))
3.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (* (/ x y) (/ x y)) 2) 1) (* (* (/ x y) (/ x y)) 2) (* (/ x y) (/ x y)) (/ x y) x y 2 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* y y) (* x x) -2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (* (* x x) 2) (* y y)) 1) (/ (* (* x x) 2) (* y y)) (* (* x x) 2) (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) (- x y) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (/ x y) 1) y) (+ (/ x y) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) (+ (* (/ x y) (/ x y)) 0) 0 (- 1 (pow (/ x y) 2)) (pow (/ x y) 2))
2.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (* (/ x y) (/ x y)) 2) 1) (* (* (/ x y) (/ x y)) 2) (* (/ x y) (/ x y)) (/ x y) x y 2 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* y y) (* x x) -2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (* (* x x) 2) (* y y)) 1) (/ (* (* x x) 2) (* y y)) (* (* x x) 2) (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) (- x y) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (/ x y) 1) y) (+ (/ x y) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) (+ (* (/ x y) (/ x y)) 0) 0 (- 1 (pow (/ x y) 2)) (pow (/ x y) 2))
2.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (* (/ x y) (/ x y)) 2) 1) (* (* (/ x y) (/ x y)) 2) (* (/ x y) (/ x y)) (/ x y) x y 2 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* y y) (* x x) -2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (* (* x x) 2) (* y y)) 1) (/ (* (* x x) 2) (* y y)) (* (* x x) 2) (* (- x y) (/ (+ y x) (+ (* y y) (* x x)))) (- x y) (/ (+ y x) (+ (* y y) (* x x))) (/ (+ (/ x y) 1) y) (+ (/ x y) 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) (+ (* (/ x y) (/ x y)) 0) 0 (- 1 (pow (/ x y) 2)) (pow (/ x y) 2))

rewrite202.0ms (6.9%)

Memory

-13.0MiB live, 272.4MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	424	3307
0	460	2971
1	2477	2905
0	8752	2808

Stop Event

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

Counts

145 → 553

Calls

Call 1

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

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

eval67.0ms (2.3%)

Memory: 1.7MiB live, 149.7MiB allocated; 21ms collecting garbage
Compiler: Compiled 16 529 to 1 927 computations (88.3% saved)

prune18.0ms (0.6%)

Memory

3.5MiB live, 50.9MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	484	1	485
Fresh	0	2	2
Picked	1	4	5
Done	0	5	5
Total	485	12	497

Accuracy

99.6%

Counts

497 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.8%	(.f64 (-.f64 x y) (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))
✓	41.7%	(.f64 (-.f64 x y) (/.f64 (+.f64 y x) #s(approx (+ ( x x) (* y y)) (*.f64 y y))))
	41.6%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x)))
	58.2%	(.f64 (-.f64 x y) #s(approx (/ (+ y x) (+ ( y y) (* x x))) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)))
✓	34.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	43.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	60.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
	59.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64))))
✓	52.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64)))
✓	60.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	42.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(literal 1 binary64)))
✓	58.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 893 to 309 computations (65.4% saved)

regimes21.0ms (0.7%)

Memory

7.2MiB live, 53.8MiB allocated; 3ms collecting garbage

Counts

23 → 4

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	y
5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
91.2%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
85.4%	2	`x`
94.5%	4	`y`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes5.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

15 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
94.4%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.3%)

Memory

-18.6MiB live, 28.5MiB allocated; 4ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.9%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
84.8%	2	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
90.4%	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 (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
90.1%	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 (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
90.1%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes1.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(approx (+ (* (pow (/ y x) 2) -2) 1) #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
90.0%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0.2%)

Memory

-41.8MiB live, 9.3MiB allocated; 3ms collecting garbage

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:

3.0ms	y
1.0ms	x
1.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
58.1%	1	`y`
58.1%	1	`x`
58.1%	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)

bsearch66.0ms (2.3%)

Memory

13.2MiB live, 59.7MiB allocated; 3ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	5.074052493130628e-61	6.492360341393498e-60
12.0ms	5.020951940747535e-178	2.994240082217084e-173
5.0ms	4.8566820705333365e-186	6.5387241600326714e-186

Samples

16.0ms

272×

valid

Compiler

Compiled 842 to 552 computations (34.4% saved)

Precisions

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

ival-mult: 4.0ms (40% of total)

ival-sub: 2.0ms (20% of total)

ival-div: 2.0ms (20% of total)

ival-add: 2.0ms (20% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.074052493130628e-61	6.492360341393498e-60
1.0ms	5.020951940747535e-178	2.994240082217084e-173
0.0ms	4.8566820705333365e-186	6.5387241600326714e-186

Compiler

Compiled 828 to 538 computations (35% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999899794809506	0.9999999999999997

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999899794809506	0.9999999999999997

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999899794809506	0.9999999999999997

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999899794809506	0.9999999999999997

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch52.0ms (1.8%)

Memory

16.9MiB live, 64.2MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	1.0	NaN
13.0ms	-0.9999899794809506	0.9999999999999997

Samples

8.0ms	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)

adjust: 0.0ms (0% of total)

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

simplify52.0ms (1.8%)

Memory

-22.1MiB live, 71.9MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	722
1	111	722
2	200	722
3	439	722
4	940	722
5	3716	722

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 7960685379818181/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4562440617622195/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 2894802230932905/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 7960685379818181/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4562440617622195/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 2894802230932905/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (*.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 -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 y y)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) #s(approx (- 1 (pow (/ x y) 2)) #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 (.f64 x x) #s(literal 2 binary64)) (.f64 y y)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 y #s(literal 7960685379818181/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4562440617622195/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 2894802230932905/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 7960685379818181/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4562440617622195/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 2894802230932905/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (*.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 -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 y y)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) #s(approx (- 1 (pow (/ x y) 2)) #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 (.f64 x x) #s(literal 2 binary64)) (.f64 y y)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 y y))) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1/2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal +inf.0 binary64)) #s(approx (/ ( (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64)) #s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

derivations323.0ms (11.1%)

Memory

-25.0MiB live, 473.8MiB allocated; 57ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 754 to 77 computations (89.8% saved)

preprocess77.0ms (2.7%)

Memory: 50.0MiB live, 174.6MiB allocated; 34ms collecting garbage
Remove: (abs x)
Compiler: Compiled 2 306 to 498 computations (78.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze5.0ms (0.2%)

sample907.0ms (31.2%)

explain125.0ms (4.3%)

preprocess137.0ms (4.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series10.0ms (0.3%)

rewrite189.0ms (6.5%)

eval19.0ms (0.6%)

prune10.0ms (0.3%)

series18.0ms (0.6%)

rewrite174.0ms (6%)

eval44.0ms (1.5%)

prune13.0ms (0.4%)

series17.0ms (0.6%)

rewrite166.0ms (5.7%)

eval77.0ms (2.7%)

prune57.0ms (1.9%)

series32.0ms (1.1%)

rewrite202.0ms (6.9%)

eval67.0ms (2.3%)

prune18.0ms (0.6%)

regimes21.0ms (0.7%)

regimes5.0ms (0.2%)

regimes9.0ms (0.3%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

regimes5.0ms (0.2%)

bsearch66.0ms (2.3%)

bsearch2.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch52.0ms (1.8%)

simplify52.0ms (1.8%)

derivations323.0ms (11.1%)

preprocess77.0ms (2.7%)

end0.0ms (0%)

Profiling