Metrics for Kahan p9 Example

start0.0ms (0%)

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

analyze4.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB 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)

sample793.0ms (28.5%)

Memory

38.2MiB live, 1 026.3MiB allocated; 136ms collecting garbage

Samples

546.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-mult!: 113.0ms (40.8% of total)

ival-div!: 73.0ms (26.4% of total)

ival-add!: 46.0ms (16.6% of total)

ival-sub!: 43.0ms (15.5% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain122.0ms (4.4%)

Memory

-36.0MiB live, 205.6MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	44	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	44
↳	`(*.f64 y y)`	overflow	44
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	44
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	41	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	41
↳	`(*.f64 y y)`	underflow	77
↳	`(*.f64 x x)`	underflow	132
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	41

Confusion

	Predicted +	Predicted -
+	85	0
-	0	171

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	171
1	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions

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

ival-mult!: 9.0ms (56.6% of total)

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

ival-div!: 3.0ms (18.9% of total)

ival-sub!: 2.0ms (12.6% of total)

adjust: 0.0ms (0% of total)

preprocess38.0ms (1.4%)

Memory

-4.8MiB live, 42.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 3 (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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs x)

(abs y)

Compiler

Compiled 30 to 18 computations (40% saved)

series10.0ms (0.4%)

Memory

19.3MiB live, 19.3MiB 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))

rewrite218.0ms (7.8%)

Memory

-28.8MiB live, 224.8MiB allocated; 88ms 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))))

eval14.0ms (0.5%)

Memory: 25.5MiB live, 25.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 653 to 615 computations (83.2% saved)

prune7.0ms (0.2%)

Memory

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

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	144	8	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	8	153

Accuracy

99.2%

Counts

153 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
	44.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	25.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
	35.0%	#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)))
▶	68.6%	#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)))))
▶	68.6%	#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)))
	33.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	67.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 338 to 204 computations (39.6% saved)

series23.0ms (0.8%)

Memory

-21.6MiB live, 30.8MiB allocated; 8ms collecting garbage

Counts

24 → 98

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	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))) -1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* x x) (* y y)) (* x x) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (* (- 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))) -1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* x x) (* y y)) (* x x) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (* (- 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))) -1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* x x) (* y y)) (* x x) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (* (- 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))) -1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* x x) (* y y)) (* x x) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (* (- 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	@	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))) -1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* x x) (* y y)) (* x x) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (/ (* (- 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)))

rewrite176.0ms (6.3%)

Memory

23.0MiB live, 254.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	328	2715
0	352	2375
1	1867	2282
0	9638	2253

Stop Event

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

Counts

122 → 415

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

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

eval62.0ms (2.2%)

Memory: -8.4MiB live, 138.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 19 890 to 2 068 computations (89.6% saved)

prune20.0ms (0.7%)

Memory

8.9MiB live, 50.0MiB allocated; 7ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	564	8	572
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	569	11	580

Accuracy

99.2%

Counts

580 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
	44.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
✓	25.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
	35.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	33.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(literal 1 binary64))
▶	67.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.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))))))))
▶	68.6%	#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)))))
	67.8%	#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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))))
▶	61.9%	#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)))
▶	68.6%	#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)))
✓	67.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 608 to 314 computations (48.4% saved)

series81.0ms (2.9%)

Memory

-32.4MiB live, 108.7MiB allocated; 40ms collecting garbage

Counts

34 → 149

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)) (+ (* y y) (* x x))) #s(literal 1 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 x x)
(*.f64 y y)
#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))) (/.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 (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 (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)))
(pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(+.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))))))
(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)))))
(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))))

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 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* 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) (+ x y)) (+ (* 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 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 x) #s(hole binary64 (pow x 2)))
#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 (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 -1))
#s(approx (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 -1))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (* 3 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (* (pow x 2) (+ (* -3 (/ (pow x 2) (pow y 4))) (* 3 (/ 1 (pow y 2))))) 1)))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 3 (/ 1 (pow y 4))))) (* 3 (/ 1 (pow y 2))))) 1)))
#s(approx (pow (+ 0 (pow (/ x y) 2)) 3) #s(hole binary64 (/ (pow x 6) (pow y 6))))
#s(approx (+ 0 (pow (/ x y) 2)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 1))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (* -3 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3 (/ (pow x 2) (pow y 4))) (* 3 (/ 1 (pow y 2))))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow y 6))) (* 3 (/ 1 (pow y 4))))) (* 3 (/ 1 (pow y 2))))))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 1))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2)))))))
#s(approx (pow (+ 0 (pow (/ x y) 2)) 2) #s(hole binary64 (/ (pow x 4) (pow y 4))))
#s(approx (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))) #s(hole binary64 1))
#s(approx (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))) #s(hole binary64 (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 2) #s(hole binary64 1))
#s(approx (pow (- 1 (pow (/ x y) 2)) 2) #s(hole binary64 (+ 1 (* -2 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (* 2 (/ 1 (pow y 2))))))))
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#s(approx (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) (+ (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (pow y 4))) (/ (pow x 6) (pow y 6)))) (+ 1 (+ (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) (pow y 2))) (+ (* -1 (/ (+ (* -1 (pow x 4)) (* 2 (pow x 4))) (pow y 4))) (+ (* -1 (/ (pow x 6) (pow y 6))) (+ (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (* -1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* -1 (+ (* -2 (pow x 2)) (pow x 2))))) (pow y 4)) (+ (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (* -1 (+ (* 2 (pow x 4)) (pow x 4))) (+ (* -1 (+ (* -1 (pow x 4)) (* 2 (pow x 4)))) (* (+ (* -2 (pow x 2)) (pow x 2)) (- (* -1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* -1 (+ (* -2 (pow x 2)) (pow x 2)))))))) (pow y 6)) (/ (* (+ (* -1 (pow x 4)) (* 2 (pow x 4))) (- (* -1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* -1 (+ (* -2 (pow x 2)) (pow x 2))))) (pow y 6)))))))))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) 1)))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (pow y 4))) (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ (pow x 2) (pow y 2))))))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (/ (pow x 6) (pow y 6)) (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 6) (pow y 6))) (+ (* 2 (/ (pow x 4) (pow y 4))) (/ (pow x 4) (pow y 4))))))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 4) (pow y 4))) (/ (pow x 4) (pow y 4))))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 6) (pow y 6))) (+ (* 2 (/ (pow x 4) (pow y 4))) (/ (pow x 4) (pow y 4)))))))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))))
#s(approx (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))
#s(approx (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4))))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 2) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))))
#s(approx (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))) #s(hole binary64 (/ (+ (* -1 (/ (pow x 4) (pow y 2))) (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)) (+ (* y y) (* x x))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* 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) (+ x y)) (+ (* 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)))

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	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)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (* (* x x) 2) (* y y)) 1) (/ (* (* x x) 2) (* y y)) (* (* x x) 2) (* x x) (* y y) (/ (* (- 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) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (pow (+ 0 (pow (/ x y) 2)) 3) (+ 0 (pow (/ x y) 2)) 3 (pow (- 1 (pow (/ x y) 2)) 3) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))) (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))
20.0ms	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)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (* (* x x) 2) (* y y)) 1) (/ (* (* x x) 2) (* y y)) (* (* x x) 2) (* x x) (* y y) (/ (* (- 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) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (pow (+ 0 (pow (/ x y) 2)) 3) (+ 0 (pow (/ x y) 2)) 3 (pow (- 1 (pow (/ x y) 2)) 3) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))) (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))
10.0ms	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)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (* (* x x) 2) (* y y)) 1) (/ (* (* x x) 2) (* y y)) (* (* x x) 2) (* x x) (* y y) (/ (* (- 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) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (pow (+ 0 (pow (/ x y) 2)) 3) (+ 0 (pow (/ x y) 2)) 3 (pow (- 1 (pow (/ x y) 2)) 3) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))) (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))
7.0ms	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)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (* (* x x) 2) (* y y)) 1) (/ (* (* x x) 2) (* y y)) (* (* x x) 2) (* x x) (* y y) (/ (* (- 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) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (pow (+ 0 (pow (/ x y) 2)) 3) (+ 0 (pow (/ x y) 2)) 3 (pow (- 1 (pow (/ x y) 2)) 3) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))) (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))
7.0ms	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)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (/ (* (* x x) 2) (* y y)) 1) (/ (* (* x x) 2) (* y y)) (* (* x x) 2) (* x x) (* y y) (/ (* (- 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) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (pow (+ 0 (pow (/ x y) 2)) 3) (+ 0 (pow (/ x y) 2)) 3 (pow (- 1 (pow (/ x y) 2)) 3) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))) (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))

rewrite241.0ms (8.7%)

Memory

22.9MiB live, 249.3MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	637	7402
0	688	5497
1	4395	5379
0	8619	5216

Stop Event

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

Counts

183 → 488

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

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

eval48.0ms (1.7%)

Memory: 28.2MiB live, 73.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 25 618 to 2 094 computations (91.8% saved)

prune21.0ms (0.7%)

Memory

-28.5MiB live, 20.7MiB allocated; 14ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	414	4	418
Fresh	1	2	3
Picked	1	4	5
Done	2	1	3
Total	418	11	429

Accuracy

99.3%

Counts

429 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
▶	35.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	25.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	33.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(literal 1 binary64))
	67.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.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 #s(approx (pow (- 1 (pow (/ x y) 2)) 2) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 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))))))))
▶	67.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.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))) #s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))))
✓	68.6%	#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)))))
▶	68.6%	#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))))
✓	61.9%	#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)))
✓	68.6%	#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)))
✓	67.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 646 to 345 computations (46.6% saved)

series29.0ms (1.1%)

Memory

-8.9MiB live, 38.9MiB allocated; 3ms collecting garbage

Counts

37 → 161

Calls

Call 1

Inputs
#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 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64)) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 0 binary64))
(/.f64 x y)
x
y
#s(literal 0 binary64)
#s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (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)
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
(+.f64 x y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (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(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.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))) #s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))))
(/.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))) #s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))))
(-.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)))
(pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal 2 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 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 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)) 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 (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#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)) (+ (* y y) (* x x))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* 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) (+ x y)) (+ (* 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 (+ (* (/ (* 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 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 y) #s(hole binary64 y))
#s(approx (+ x y) #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 (+ (* (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 (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 -1))
#s(approx (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 -1))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (* 3 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (* (pow x 2) (+ (* -3 (/ (pow x 2) (pow y 4))) (* 3 (/ 1 (pow y 2))))) 1)))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 3 (/ 1 (pow y 4))))) (* 3 (/ 1 (pow y 2))))) 1)))
#s(approx (pow (+ 0 (pow (/ x y) 2)) 3) #s(hole binary64 (/ (pow x 6) (pow y 6))))
#s(approx (+ 0 (pow (/ x y) 2)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (pow (/ x y) 2) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 1))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (* -3 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3 (/ (pow x 2) (pow y 4))) (* 3 (/ 1 (pow y 2))))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow y 6))) (* 3 (/ 1 (pow y 4))))) (* 3 (/ 1 (pow y 2))))))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 1))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2)))))))
#s(approx (+ (* (pow (/ x y) 2) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (/ x y) 2) -1) 1) #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 (- (+ (* (/ 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)) (+ (* y y) (* x x))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* 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) (+ x y)) (+ (* 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 (+ (* (/ (* 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 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 (+ (* 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 (+ (* (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 (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (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 (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (* (pow x 2) (- (+ (* 3 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow y 2)))) (+ (* 2 (/ (pow y 2) (pow x 4))) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4))))))))
#s(approx (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (* (pow x 2) (- (+ (* 3 (/ (pow y 2) (pow x 4))) (+ (* 2 (/ 1 (pow y 2))) (/ (* (pow y 2) (- (* 3 (pow y 2)) (+ (* 2 (pow y 2)) (pow y 2)))) (pow x 6)))) (+ (* 2 (/ (pow y 2) (pow x 4))) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4))))))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (* 2 (/ (pow x 6) (pow y 6)))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (* (pow x 6) (- (* 2 (/ 1 (pow y 6))) (* 3 (/ 1 (* (pow x 2) (pow y 4))))))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (* (pow x 6) (- (+ (* 2 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3 (* (pow x 2) (pow y 4)))))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow y 6)))) (+ (/ 1 (pow x 6)) (/ 3 (* (pow x 2) (pow y 4))))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (* -1 (/ (pow x 6) (pow y 6)))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (* (pow x 6) (- (* 3 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (* (pow x 6) (- (/ 3 (* (pow x 2) (pow y 4))) (+ (/ 1 (pow y 6)) (/ 3 (* (pow x 4) (pow y 2))))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (* (pow x 6) (- (+ (/ 1 (pow x 6)) (/ 3 (* (pow x 2) (pow y 4)))) (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow y 6)))))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (/ (pow x 4) (pow y 4))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (* (pow x 4) (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (* (pow x 4) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* (pow (/ x y) 2) -1) 1) #s(hole binary64 (* -1 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (pow (/ x y) 2) -1) 1) #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) (+ x y)) (+ (* 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) (+ x y)) (+ (* 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) (+ 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)) 0) (- 1 (pow (/ x y) 2))) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))))
#s(approx y #s(hole binary64 y))
#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)) (+ (* y y) (* x x))) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* 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) (+ x y)) (+ (* 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 (* y y) #s(hole binary64 (pow y 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 (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (/ (- (pow x 6) (* -1 (pow x 6))) (* (pow y 2) (+ (* -1 (pow x 4)) (* 2 (pow x 4)))))))
#s(approx (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (/ (- (+ (* (pow y 2) (- (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (pow x 6) (* -1 (pow x 6)))) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2)))) (/ (pow x 6) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (* -1 (/ (pow x 6) (+ (* -1 (pow x 4)) (* 2 (pow x 4)))))) (pow y 2))))
#s(approx (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (/ (- (+ (* (pow y 2) (- (+ (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (* (pow y 2) (- (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (* -1 (/ (pow x 6) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2)))) (+ (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (pow x 6) (* -1 (pow x 6)))) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2)))) (+ (* -1 (pow x 4)) (* 2 (pow x 4)))) (/ (pow x 6) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2)))))) (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (pow x 6) (* -1 (pow x 6)))) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2)))) (/ (pow x 6) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (* -1 (/ (pow x 6) (+ (* -1 (pow x 4)) (* 2 (pow x 4)))))) (pow y 2))))
#s(approx (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (/ (- (+ (* (pow y 2) (- (+ (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (* (pow y 2) (- (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (+ (* -1 (/ (pow x 6) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2))) (* (pow y 2) (- (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (pow x 6) (* -1 (pow x 6)))) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 3)) (+ (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2))) (+ (/ 1 (+ (* -1 (pow x 4)) (* 2 (pow x 4)))) (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (* -1 (/ (pow x 6) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2)))) (+ (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (pow x 6) (* -1 (pow x 6)))) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2)))) (+ (* -1 (pow x 4)) (* 2 (pow x 4)))) (/ (pow x 6) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2))))) (+ (* -1 (pow x 4)) (* 2 (pow x 4)))))))))) (+ (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (pow x 6) (* -1 (pow x 6)))) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2)))) (+ (* -1 (pow x 4)) (* 2 (pow x 4)))) (/ (pow x 6) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2)))))) (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (pow x 6) (* -1 (pow x 6)))) (pow (+ (* -1 (pow x 4)) (* 2 (pow x 4))) 2)))) (/ (pow x 6) (+ (* -1 (pow x 4)) (* 2 (pow x 4))))) (* -1 (/ (pow x 6) (+ (* -1 (pow x 4)) (* 2 (pow x 4)))))) (pow y 2))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (/ (- (pow x 6) (* -1 (pow x 6))) (pow y 6))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (/ (- (+ (* -1 (* (pow y 2) (+ (* 2 (pow x 4)) (pow x 4)))) (pow x 6)) (* -1 (pow x 6))) (pow y 6))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (/ (- (+ (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -2 (pow x 2)) (* -1 (pow x 2))))) (+ (* 2 (pow x 4)) (pow x 4)))) (pow x 6)) (* -1 (pow x 6))) (pow y 6))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (/ (- (+ (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) (+ (* -2 (pow x 2)) (* -1 (pow x 2))))) (+ (* 2 (pow x 4)) (pow x 4)))) (pow x 6)) (* -1 (pow x 6))) (pow y 6))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (/ (+ (* -1 (pow x 6)) (* (pow y 2) (+ (* 2 (pow x 4)) (pow x 4)))) (pow y 6))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (/ (+ (* -1 (pow x 6)) (* (pow y 2) (+ (* 2 (pow x 4)) (+ (* (pow y 2) (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (pow x 4))))) (pow y 6))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (/ (+ (* -1 (pow x 6)) (* (pow y 2) (+ (* 2 (pow x 4)) (+ (* (pow y 2) (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (pow y 2)))) (pow x 4))))) (pow y 6))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (/ (+ (* -1 (pow x 4)) (* 2 (pow x 4))) (pow y 4))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (/ (+ (* -1 (pow x 4)) (+ (* 2 (pow x 4)) (* (pow y 2) (+ (* -2 (pow x 2)) (pow x 2))))) (pow y 4))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (/ (+ (* -1 (pow x 4)) (+ (* 2 (pow x 4)) (* (pow y 2) (+ (* -2 (pow x 2)) (+ (pow x 2) (pow y 2)))))) (pow y 4))))
#s(approx (+ (* (pow (/ x y) 2) -1) 1) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (pow y 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)) (+ (* y y) (* x x))) #s(hole binary64 (- (+ (* -1 (/ x y)) (/ x y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* 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) (+ x y)) (+ (* 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 (+ (* (/ (* 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) (+ 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 (+ (* y y) (* x x)) #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 (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) (+ 1 (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) (pow y 2)))))))
#s(approx (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (pow y 4)))) (+ 1 (+ (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) (pow y 2))) (+ (* -1 (/ (+ (* -1 (pow x 4)) (* 2 (pow x 4))) (pow y 4))) (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (* -1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* -1 (+ (* -2 (pow x 2)) (pow x 2))))) (pow y 4))))))))
#s(approx (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) (+ (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (pow y 4))) (/ (pow x 6) (pow y 6)))) (+ 1 (+ (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) (pow y 2))) (+ (* -1 (/ (+ (* -1 (pow x 4)) (* 2 (pow x 4))) (pow y 4))) (+ (* -1 (/ (pow x 6) (pow y 6))) (+ (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (* -1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* -1 (+ (* -2 (pow x 2)) (pow x 2))))) (pow y 4)) (+ (/ (* (+ (* -2 (pow x 2)) (pow x 2)) (- (* -1 (+ (* 2 (pow x 4)) (pow x 4))) (+ (* -1 (+ (* -1 (pow x 4)) (* 2 (pow x 4)))) (* (+ (* -2 (pow x 2)) (pow x 2)) (- (* -1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* -1 (+ (* -2 (pow x 2)) (pow x 2)))))))) (pow y 6)) (/ (* (+ (* -1 (pow x 4)) (* 2 (pow x 4))) (- (* -1 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* -1 (+ (* -2 (pow x 2)) (pow x 2))))) (pow y 6)))))))))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) 1)))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (* -1 (/ (+ (* 2 (pow x 4)) (pow x 4)) (pow y 4))) (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ (pow x 2) (pow y 2))))))))
#s(approx (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) #s(hole binary64 (- (/ (pow x 6) (pow y 6)) (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 6) (pow y 6))) (+ (* 2 (/ (pow x 4) (pow y 4))) (/ (pow x 4) (pow y 4))))))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 4) (pow y 4))) (/ (pow x 4) (pow y 4))))))))
#s(approx (pow (- 1 (pow (/ x y) 2)) 3) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 6) (pow y 6))) (+ (* 2 (/ (pow x 4) (pow y 4))) (/ (pow x 4) (pow y 4)))))))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))
#s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 2 (/ (pow x 4) (pow y 4))) (/ (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)) (+ (* y y) (* x x))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* 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) (+ x y)) (+ (* 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) (+ 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
4.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) (+ (* (/ x y) (/ x y)) 0) (/ x y) x y 0 (- 1 (pow (/ x y) 2)) 1 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* y y) (* x x) -2 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) 2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (pow (+ 0 (pow (/ x y) 2)) 3) (+ 0 (pow (/ x y) 2)) (pow (/ x y) 2) 3 (pow (- 1 (pow (/ x y) 2)) 3) (- 1 (pow (/ x y) 2)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (+ (* (pow (/ x y) 2) -1) 1) -1)
4.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) (+ (* (/ x y) (/ x y)) 0) (/ x y) x y 0 (- 1 (pow (/ x y) 2)) 1 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* y y) (* x x) -2 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) 2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (pow (+ 0 (pow (/ x y) 2)) 3) (+ 0 (pow (/ x y) 2)) (pow (/ x y) 2) 3 (pow (- 1 (pow (/ x y) 2)) 3) (- 1 (pow (/ x y) 2)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (+ (* (pow (/ x y) 2) -1) 1) -1)
4.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) (+ (* (/ x y) (/ x y)) 0) (/ x y) x y 0 (- 1 (pow (/ x y) 2)) 1 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* y y) (* x x) -2 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) 2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (pow (+ 0 (pow (/ x y) 2)) 3) (+ 0 (pow (/ x y) 2)) (pow (/ x y) 2) 3 (pow (- 1 (pow (/ x y) 2)) 3) (- 1 (pow (/ x y) 2)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (+ (* (pow (/ x y) 2) -1) 1) -1)
4.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) (+ (* (/ x y) (/ x y)) 0) (/ x y) x y 0 (- 1 (pow (/ x y) 2)) 1 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* y y) (* x x) -2 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) 2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (pow (+ 0 (pow (/ x y) 2)) 3) (+ 0 (pow (/ x y) 2)) (pow (/ x y) 2) 3 (pow (- 1 (pow (/ x y) 2)) 3) (- 1 (pow (/ x y) 2)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (+ (* (pow (/ x y) 2) -1) 1) -1)
4.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (+ (* (/ x y) (/ x y)) 0) (- 1 (pow (/ x y) 2))) (+ (* (/ x y) (/ x y)) 0) (/ x y) x y 0 (- 1 (pow (/ x y) 2)) 1 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* y y) (* x x) -2 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* y y) (* x x)) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) 2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2)))))) (- (pow (+ 0 (pow (/ x y) 2)) 3) (pow (- 1 (pow (/ x y) 2)) 3)) (pow (+ 0 (pow (/ x y) 2)) 3) (+ 0 (pow (/ x y) 2)) (pow (/ x y) 2) 3 (pow (- 1 (pow (/ x y) 2)) 3) (- 1 (pow (/ x y) 2)) (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (+ (* (pow (/ x y) 2) -1) 1) -1)

rewrite187.0ms (6.7%)

Memory

10.5MiB live, 193.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	671	7140
0	708	5365
1	4542	5225
0	8774	5068

Stop Event

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

Counts

198 → 458

Calls

Call 1

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

eval41.0ms (1.5%)

Memory: 12.6MiB live, 57.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 19 414 to 1 684 computations (91.3% saved)

prune16.0ms (0.6%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	346	8	354
Fresh	1	0	1
Picked	3	2	5
Done	0	5	5
Total	350	15	365

Accuracy

99.3%

Counts

365 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
✓	25.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
	35.0%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64)))
	67.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))))
	33.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
✓	33.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(literal 1 binary64))
	67.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.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))) #s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (+.f64 (+.f64 #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))))))
	9.8%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (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))) #s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) (* (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))))
	67.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (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))) #s(approx (+ (pow (+ 0 (pow (/ x y) 2)) 2) (+ (pow (- 1 (pow (/ x y) 2)) 2) ( (+ 0 (pow (/ x y) 2)) (- 1 (pow (/ x y) 2))))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))))
✓	68.6%	#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)))))
	68.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64))))
✓	61.9%	#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)))
	61.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64))))
✓	68.6%	#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)))
✓	67.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 1 772 to 475 computations (73.2% saved)

regimes24.0ms (0.9%)

Memory

-17.0MiB live, 29.3MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

3 calls:

9.0ms	y
8.0ms	x
5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
90.6%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
84.5%	3	`x`
95.5%	4	`y`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes6.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
95.5%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.5%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

4.0ms	y
3.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
90.5%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
86.4%	2	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0.2%)

Memory

-47.0MiB live, 4.3MiB allocated; 6ms 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)) (+ (* y y) (* x x))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.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)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* 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)))

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)) (+ (* y y) (* x x))) (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:

5.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

3.4MiB live, 3.4MiB 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)) (+ (* y y) (* x x))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.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))) (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(approx (- 1 (pow (/ x y) 2)) #s(literal 1 binary64))))

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

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(approx (- 1 (pow (/ x y) 2)) #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
90.1%	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

2.4MiB live, 2.4MiB 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)) (+ (* y y) (* x x))) #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
90.1%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
67.4%	1	`x`
67.4%	1	`y`
67.4%	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)

bsearch29.0ms (1%)

Memory

-15.9MiB live, 30.2MiB allocated; 3ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	5.189752428392598e-59	1.5856826936913199e-55
8.0ms	7.147081719334562e-191	5.075982942459734e-190
12.0ms	3.0362316612638582e-217	2.0045375725558618e-212

Samples

15.0ms

288×

valid

Compiler

Compiled 933 to 575 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 4.0ms (56.9% of total)

ival-sub!: 1.0ms (14.2% of total)

ival-add!: 1.0ms (14.2% of total)

ival-div!: 1.0ms (14.2% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.189752428392598e-59	1.5856826936913199e-55
1.0ms	7.147081719334562e-191	5.075982942459734e-190
1.0ms	3.0362316612638582e-217	2.0045375725558618e-212

Compiler

Compiled 834 to 530 computations (36.5% saved)

bsearch2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.189752428392598e-59	1.5856826936913199e-55
1.0ms	7.147081719334562e-191	5.075982942459734e-190
1.0ms	3.0362316612638582e-217	2.0045375725558618e-212

Compiler

Compiled 924 to 605 computations (34.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999999994	0.9999999999999997

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999999994	0.9999999999999997

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999999994	0.9999999999999997

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999999994	0.9999999999999997

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9999999999999994	0.9999999999999997

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch16.0ms (0.6%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	predicate-same

Steps

Time	Left	Right
14.0ms	1.0	NaN
1.0ms	-0.9999999999999994	0.9999999999999997

Samples

4.0ms	192×	0	valid
2.0ms	101×	0	invalid

Compiler

Compiled 426 to 302 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

derivations413.0ms (14.9%)

Memory

7.1MiB live, 282.7MiB allocated; 116ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 950 to 91 computations (90.4% saved)

preprocess107.0ms (3.9%)

Memory

-13.2MiB live, 87.6MiB allocated; 16ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 6 424 to 1 914 computations (70.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.2%)

sample793.0ms (28.5%)

explain122.0ms (4.4%)

preprocess38.0ms (1.4%)

series10.0ms (0.4%)

rewrite218.0ms (7.8%)

eval14.0ms (0.5%)

prune7.0ms (0.2%)

series23.0ms (0.8%)

rewrite176.0ms (6.3%)

eval62.0ms (2.2%)

prune20.0ms (0.7%)

series81.0ms (2.9%)

rewrite241.0ms (8.7%)

eval48.0ms (1.7%)

prune21.0ms (0.7%)

series29.0ms (1.1%)

rewrite187.0ms (6.7%)

eval41.0ms (1.5%)

prune16.0ms (0.6%)

regimes24.0ms (0.9%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch29.0ms (1%)

bsearch2.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.6%)

derivations413.0ms (14.9%)

preprocess107.0ms (3.9%)

end0.0ms (0%)

Profiling