Metrics for Kahan p9 Example

start0.0ms (0%)

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

analyze4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB 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)

sample951.0ms (22.9%)

Memory

-23.6MiB live, 1 264.7MiB allocated; 268ms collecting garbage

Samples

658.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-mult!: 170.0ms (55.2% of total)

ival-div!: 58.0ms (18.8% of total)

ival-sub!: 40.0ms (13% of total)

ival-add!: 38.0ms (12.3% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain101.0ms (2.4%)

Memory

4.8MiB live, 196.9MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	46	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	46
↳	`(*.f64 y y)`	overflow	46
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	46
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	35	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	35
↳	`(*.f64 y y)`	underflow	70
↳	`(*.f64 x x)`	underflow	124
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	35

Confusion

	Predicted +	Predicted -
+	81	0
-	0	175

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	0
-	0	0	175

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	175
1	81

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!: 7.0ms (44.5% of total)

ival-add!: 5.0ms (31.8% of total)

ival-div!: 2.0ms (12.7% of total)

ival-sub!: 1.0ms (6.4% of total)

adjust: 0.0ms (0% of total)

preprocess38.0ms (0.9%)

Memory

-9.3MiB live, 37.7MiB allocated; 3ms 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
▶	68.3%	(/.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 (0.2%)

Memory

18.0MiB live, 18.0MiB 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))
1.0ms	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))

rewrite181.0ms (4.4%)

Memory

8.0MiB live, 239.8MiB allocated; 17ms 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))))

eval17.0ms (0.4%)

Memory: -4.3MiB live, 39.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 653 to 615 computations (83.2% saved)

prune6.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	143	9	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	144	9	153

Accuracy

99.4%

Counts

153 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
	45.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 y y)))
▶	25.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (*.f64 x x)))
	64.5%	(/.f64 (.f64 #s(approx (- x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y)))
▶	32.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
	14.7%	#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)))
▶	70.6%	#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)))
	30.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	69.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 384 to 238 computations (38% saved)

series33.0ms (0.8%)

Memory

-1.8MiB live, 55.7MiB allocated; 21ms collecting garbage

Counts

24 → 94

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))) (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)

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 (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (* -2 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (pow (/ y x) 2) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (/ (* (- x y) (+ 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 (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* (- x y) (+ 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 (/ (* (- 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 (+ (* (pow (/ y x) 2) -2) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- x y) (+ 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
18.0ms	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))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) -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))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) -2)
3.0ms	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))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) -2)
3.0ms	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))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) -2)
3.0ms	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))) (+ (* (pow (/ y x) 2) -2) 1) (pow (/ y x) 2) (/ y x) -2)

rewrite207.0ms (5%)

Memory

6.6MiB live, 279.9MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	2549
0	344	2312
1	1820	2231
0	9093	2197

Stop Event

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

Counts

118 → 361

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

eval866.0ms (20.9%)

Memory: -59.4MiB live, 48.2MiB allocated; 1.3s collecting garbage
Compiler: Compiled 11 482 to 1 432 computations (87.5% saved)

prune30.0ms (0.7%)

Memory

-92.8MiB live, 22.7MiB allocated; 13ms collecting garbage

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	395	9	404
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	402	11	413

Accuracy

99.4%

Counts

413 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	45.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
	14.7%	#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)))
▶	30.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(literal 1 binary64))
	26.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	32.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64)))
	63.3%	#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)))
▶	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
	70.6%	#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)))
▶	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	69.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 497 to 309 computations (37.8% saved)

series165.0ms (4%)

Memory

9.0MiB live, 240.0MiB allocated; 27ms collecting garbage

Counts

31 → 122

Calls

Call 1

Inputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal 2 binary64))))
(-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
y
#s(literal 1 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(literal 1 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))
(*.f64 y y)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 y x) (/.f64 y x))
(/.f64 y x)
#s(literal -2 binary64)
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(pow.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x 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 (- (* (exp (- (* (log x) 2) (* (log y) 2))) 2) 1) #s(hole binary64 (- (* 2 (exp (- (* 2 (log x)) (* 2 (log y))))) 1)))
#s(approx (* (exp (- (* (log x) 2) (* (log y) 2))) 2) #s(hole binary64 (* 2 (exp (- (* 2 (log x)) (* 2 (log y)))))))
#s(approx (exp (- (* (log x) 2) (* (log y) 2))) #s(hole binary64 (exp (- (* 2 (log x)) (* 2 (log y))))))
#s(approx (- (* (log x) 2) (* (log y) 2)) #s(hole binary64 (- (* 2 (log x)) (* 2 (log y)))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#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 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 (+ (* (* (/ y x) (/ y x)) -2) 1) #s(hole binary64 (* -2 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (* (/ y x) (/ y x)) -2) 1) #s(hole binary64 (/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (* (/ y x) (/ y x)) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (- (* (/ 1 (pow (/ x y) -2)) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (/ 1 (pow (/ x y) -2)) 2) 1) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (* (/ 1 (pow (/ x y) -2)) 2) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (/ 1 (pow (/ x y) -2)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (pow (/ x y) -2) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (/ x y) #s(hole binary64 (/ x 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 (+ 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 (- (* (exp (- (* (log x) 2) (* (log y) 2))) 2) 1) #s(hole binary64 (- (* 2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y))))) 1)))
#s(approx (* (exp (- (* (log x) 2) (* (log y) 2))) 2) #s(hole binary64 (* 2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y)))))))
#s(approx (exp (- (* (log x) 2) (* (log y) 2))) #s(hole binary64 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y))))))
#s(approx (- (* (log x) 2) (* (log y) 2)) #s(hole binary64 (- (* -2 (log (/ 1 x))) (* 2 (log y)))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 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 (+ 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 (* (- 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 (+ (* (* (/ y x) (/ y x)) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ y x) (/ y x)) -2) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (- (* (/ 1 (pow (/ x y) -2)) 2) 1) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (- (* (/ 1 (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)) (+ (* 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 (- (* (exp (- (* (log x) 2) (* (log y) 2))) 2) 1) #s(hole binary64 (- (* 2 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y))))) 1)))
#s(approx (* (exp (- (* (log x) 2) (* (log y) 2))) 2) #s(hole binary64 (* 2 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y)))))))
#s(approx (exp (- (* (log x) 2) (* (log y) 2))) #s(hole binary64 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y))))))
#s(approx (- (* (log x) 2) (* (log y) 2)) #s(hole binary64 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y)))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 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 (* (log y) 2) #s(hole binary64 (* 2 (log y))))
#s(approx (log y) #s(hole binary64 (log y)))
#s(approx y #s(hole binary64 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 (* (- 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 y) #s(hole binary64 (pow y 2)))
#s(approx (- (* (/ 1 (pow (/ x y) -2)) 2) 1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 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 (- (* (exp (- (* (log x) 2) (* (log y) 2))) 2) 1) #s(hole binary64 (- (* 2 (exp (- (* 2 (log x)) (* -2 (log (/ 1 y)))))) 1)))
#s(approx (* (exp (- (* (log x) 2) (* (log y) 2))) 2) #s(hole binary64 (* 2 (exp (- (* 2 (log x)) (* -2 (log (/ 1 y))))))))
#s(approx (exp (- (* (log x) 2) (* (log y) 2))) #s(hole binary64 (exp (- (* 2 (log x)) (* -2 (log (/ 1 y)))))))
#s(approx (- (* (log x) 2) (* (log y) 2)) #s(hole binary64 (- (* 2 (log x)) (* -2 (log (/ 1 y))))))
#s(approx (* (log y) 2) #s(hole binary64 (* -2 (log (/ 1 y)))))
#s(approx (log y) #s(hole binary64 (* -1 (log (/ 1 y)))))
#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 (* (- 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 (+ (* (* (/ y x) (/ y x)) -2) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 x)) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (pow x 2) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (/ (* (pow x 2) (+ x (* -1 x))) y) (pow x 2)) (* -1 (pow x 2))) y)))) y)) 1)))
#s(approx (- (* (exp (- (* (log x) 2) (* (log y) 2))) 2) 1) #s(hole binary64 (- (* 2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))) 1)))
#s(approx (* (exp (- (* (log x) 2) (* (log y) 2))) 2) #s(hole binary64 (* 2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))))
#s(approx (exp (- (* (log x) 2) (* (log y) 2))) #s(hole binary64 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))))
#s(approx (- (* (log x) 2) (* (log y) 2)) #s(hole binary64 (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))
#s(approx (* (log y) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))
#s(approx (log y) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 y))))))
#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
47.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (exp (- (* (log x) 2) (* (log y) 2))) 2) 1) (* (exp (- (* (log x) 2) (* (log y) 2))) 2) (exp (- (* (log x) 2) (* (log y) 2))) (- (* (log x) 2) (* (log y) 2)) (* (log x) 2) (log x) x 2 (* (log y) 2) (log y) y 1 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* y y) (* x x)) (* y y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* (/ y x) (/ y x)) -2) 1) (* (/ y x) (/ y x)) (/ y x) -2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (/ 1 (pow (/ x y) -2)) 2) 1) (* (/ 1 (pow (/ x y) -2)) 2) (/ 1 (pow (/ x y) -2)) (pow (/ x y) -2) (/ x y))
38.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (exp (- (* (log x) 2) (* (log y) 2))) 2) 1) (* (exp (- (* (log x) 2) (* (log y) 2))) 2) (exp (- (* (log x) 2) (* (log y) 2))) (- (* (log x) 2) (* (log y) 2)) (* (log x) 2) (log x) x 2 (* (log y) 2) (log y) y 1 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* y y) (* x x)) (* y y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* (/ y x) (/ y x)) -2) 1) (* (/ y x) (/ y x)) (/ y x) -2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (/ 1 (pow (/ x y) -2)) 2) 1) (* (/ 1 (pow (/ x y) -2)) 2) (/ 1 (pow (/ x y) -2)) (pow (/ x y) -2) (/ x y))
23.0ms	y	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (exp (- (* (log x) 2) (* (log y) 2))) 2) 1) (* (exp (- (* (log x) 2) (* (log y) 2))) 2) (exp (- (* (log x) 2) (* (log y) 2))) (- (* (log x) 2) (* (log y) 2)) (* (log x) 2) (log x) x 2 (* (log y) 2) (log y) y 1 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* y y) (* x x)) (* y y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* (/ y x) (/ y x)) -2) 1) (* (/ y x) (/ y x)) (/ y x) -2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (/ 1 (pow (/ x y) -2)) 2) 1) (* (/ 1 (pow (/ x y) -2)) 2) (/ 1 (pow (/ x y) -2)) (pow (/ x y) -2) (/ x y))
21.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (exp (- (* (log x) 2) (* (log y) 2))) 2) 1) (* (exp (- (* (log x) 2) (* (log y) 2))) 2) (exp (- (* (log x) 2) (* (log y) 2))) (- (* (log x) 2) (* (log y) 2)) (* (log x) 2) (log x) x 2 (* (log y) 2) (log y) y 1 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* y y) (* x x)) (* y y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* (/ y x) (/ y x)) -2) 1) (* (/ y x) (/ y x)) (/ y x) -2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (/ 1 (pow (/ x y) -2)) 2) 1) (* (/ 1 (pow (/ x y) -2)) 2) (/ 1 (pow (/ x y) -2)) (pow (/ x y) -2) (/ x y))
18.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (exp (- (* (log x) 2) (* (log y) 2))) 2) 1) (* (exp (- (* (log x) 2) (* (log y) 2))) 2) (exp (- (* (log x) 2) (* (log y) 2))) (- (* (log x) 2) (* (log y) 2)) (* (log x) 2) (log x) x 2 (* (log y) 2) (log y) y 1 (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (* (- x y) (+ x y)) (- x y) (+ x y) (+ (* y y) (* x x)) (* y y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (* (/ y x) (/ y x)) -2) 1) (* (/ y x) (/ y x)) (/ y x) -2 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (/ 1 (pow (/ x y) -2)) 2) 1) (* (/ 1 (pow (/ x y) -2)) 2) (/ 1 (pow (/ x y) -2)) (pow (/ x y) -2) (/ x y))

rewrite163.0ms (3.9%)

Memory

37.5MiB live, 221.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	409	3284
0	443	2872
1	2248	2734
0	8322	2650

Stop Event

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

Counts

153 → 556

Calls

Call 1

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

eval44.0ms (1.1%)

Memory: -16.7MiB live, 75.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 12 783 to 1 846 computations (85.6% saved)

prune10.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	405	2	407
Fresh	0	4	4
Picked	2	3	5
Done	0	2	2
Total	407	11	418

Accuracy

99.4%

Counts

418 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	45.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
	14.7%	#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)))
▶	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
✓	30.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(literal 1 binary64))
▶	26.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	32.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64)))
▶	63.3%	#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)))
▶	70.6%	#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)))
▶	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (log.f64 y)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	69.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 429 to 270 computations (37.1% saved)

series100.0ms (2.4%)

Memory

-23.1MiB live, 169.6MiB allocated; 14ms collecting garbage

Counts

31 → 99

Calls

Call 1

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

Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 -1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 6))) (* 2 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) 1) #s(hole binary64 (- (* 2 (exp (+ (* -2 (log y)) (* 2 (log x))))) 1)))
#s(approx (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) #s(hole binary64 (* 2 (exp (+ (* -2 (log y)) (* 2 (log x)))))))
#s(approx (exp (+ (* (log x) 2) (* -2 (log y)))) #s(hole binary64 (exp (+ (* -2 (log y)) (* 2 (log x))))))
#s(approx (+ (* (log x) 2) (* -2 (log y))) #s(hole binary64 (+ (* -2 (log y)) (* 2 (log x)))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ (* y y) (* x x)) -2) 1) #s(hole binary64 (* -2 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (/ (* y y) (* x x)) -2) 1) #s(hole binary64 (/ (+ (* -2 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (/ (* y y) (* x x)) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (* (* x x) 2) (* y y)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* (* x x) 2) (* y y)) 1) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (* x x) 2) (* y y)) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* (* (/ x y) (/ 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 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 (- (/ 2 (pow (/ x y) -2)) 1) #s(hole binary64 -1))
#s(approx (- (/ 2 (pow (/ x y) -2)) 1) #s(hole binary64 (- (* 2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ 2 (pow (/ x y) -2)) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (pow (/ x y) -2) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 1))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (+ 1 (+ (* -1 (/ y x)) (/ y x)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (/ (pow y 2) (pow x 2)))))
#s(approx (- (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) 1) #s(hole binary64 (- (* 2 (exp (+ (* -2 (log y)) (* -2 (log (/ 1 x)))))) 1)))
#s(approx (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) #s(hole binary64 (* 2 (exp (+ (* -2 (log y)) (* -2 (log (/ 1 x))))))))
#s(approx (exp (+ (* (log x) 2) (* -2 (log y)))) #s(hole binary64 (exp (+ (* -2 (log y)) (* -2 (log (/ 1 x)))))))
#s(approx (+ (* (log x) 2) (* -2 (log y))) #s(hole binary64 (+ (* -2 (log y)) (* -2 (log (/ 1 x))))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (* (/ (* y y) (* x x)) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* y y) (* x x)) -2) 1) #s(hole binary64 (+ 1 (* -2 (/ (pow y 2) (pow x 2))))))
#s(approx (- (/ (* (* x x) 2) (* y y)) 1) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (- (/ (* (* x x) 2) (* y y)) 1) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))))
#s(approx (- (* (* (/ x y) (/ x y)) 2) 1) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (- (* (* (/ x y) (/ x y)) 2) 1) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))))
#s(approx (/ (* (- 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 (- (/ 2 (pow (/ x y) -2)) 1) #s(hole binary64 (* 2 (/ (pow x 2) (pow y 2)))))
#s(approx (- (/ 2 (pow (/ x y) -2)) 1) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (/ 1 (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 (- (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) 1) #s(hole binary64 (- (* 2 (exp (+ (* -2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))) 1)))
#s(approx (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) #s(hole binary64 (* 2 (exp (+ (* -2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))))))
#s(approx (exp (+ (* (log x) 2) (* -2 (log y)))) #s(hole binary64 (exp (+ (* -2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))))
#s(approx (+ (* (log x) 2) (* -2 (log y))) #s(hole binary64 (+ (* -2 (log y)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 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)) (+ (* 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 (* -2 (log y)) #s(hole binary64 (* -2 (log y))))
#s(approx (log y) #s(hole binary64 (log y)))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (/ (* (* x x) 2) (* y y)) 1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 2 (pow x 2))) (pow y 2))))
#s(approx (- (* (* (/ x y) (/ x y)) 2) 1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 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 (- (/ 2 (pow (/ x y) -2)) 1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 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 (- (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) 1) #s(hole binary64 (- (* 2 (exp (+ (* 2 (log x)) (* 2 (log (/ 1 y)))))) 1)))
#s(approx (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) #s(hole binary64 (* 2 (exp (+ (* 2 (log x)) (* 2 (log (/ 1 y))))))))
#s(approx (exp (+ (* (log x) 2) (* -2 (log y)))) #s(hole binary64 (exp (+ (* 2 (log x)) (* 2 (log (/ 1 y)))))))
#s(approx (+ (* (log x) 2) (* -2 (log y))) #s(hole binary64 (+ (* 2 (log x)) (* 2 (log (/ 1 y))))))
#s(approx (* -2 (log y)) #s(hole binary64 (* 2 (log (/ 1 y)))))
#s(approx (log y) #s(hole binary64 (* -1 (log (/ 1 y)))))
#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)) (+ (* 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 (/ (* (- 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 (- (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) 1) #s(hole binary64 (- (* 2 (exp (+ (* -2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x))))) 1)))
#s(approx (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) #s(hole binary64 (* 2 (exp (+ (* -2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x)))))))
#s(approx (exp (+ (* (log x) 2) (* -2 (log y)))) #s(hole binary64 (exp (+ (* -2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x))))))
#s(approx (+ (* (log x) 2) (* -2 (log y))) #s(hole binary64 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 y))))) (* 2 (log x)))))
#s(approx (* -2 (log y)) #s(hole binary64 (* -2 (+ (log -1) (* -1 (log (/ -1 y)))))))
#s(approx (log y) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 y))))))
#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
18.0ms	x	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) 1) (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) (exp (+ (* (log x) 2) (* -2 (log y)))) (+ (* (log x) 2) (* -2 (log y))) (log x) x 2 (* -2 (log y)) -2 (log y) y 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* 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 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) (+ x y)) (+ (* y y) (* x x))) (- (/ 2 (pow (/ x y) -2)) 1) (/ 2 (pow (/ x y) -2)) (pow (/ x y) -2))
18.0ms	y	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) 1) (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) (exp (+ (* (log x) 2) (* -2 (log y)))) (+ (* (log x) 2) (* -2 (log y))) (log x) x 2 (* -2 (log y)) -2 (log y) y 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* 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 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) (+ x y)) (+ (* y y) (* x x))) (- (/ 2 (pow (/ x y) -2)) 1) (/ 2 (pow (/ x y) -2)) (pow (/ x y) -2))
16.0ms	x	@	-inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) 1) (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) (exp (+ (* (log x) 2) (* -2 (log y)))) (+ (* (log x) 2) (* -2 (log y))) (log x) x 2 (* -2 (log y)) -2 (log y) y 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* 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 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) (+ x y)) (+ (* y y) (* x x))) (- (/ 2 (pow (/ x y) -2)) 1) (/ 2 (pow (/ x y) -2)) (pow (/ x y) -2))
15.0ms	x	@	inf	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) 1) (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) (exp (+ (* (log x) 2) (* -2 (log y)))) (+ (* (log x) 2) (* -2 (log y))) (log x) x 2 (* -2 (log y)) -2 (log y) y 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* 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 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) (+ x y)) (+ (* y y) (* x x))) (- (/ 2 (pow (/ x y) -2)) 1) (/ 2 (pow (/ x y) -2)) (pow (/ x y) -2))
15.0ms	y	@	0	((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) 1) (* (exp (+ (* (log x) 2) (* -2 (log y)))) 2) (exp (+ (* (log x) 2) (* -2 (log y)))) (+ (* (log x) 2) (* -2 (log y))) (log x) x 2 (* -2 (log y)) -2 (log y) y 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (* (/ (* y y) (* x x)) -2) 1) (/ (* y y) (* x x)) (* 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 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) (+ x y)) (+ (* y y) (* x x))) (- (/ 2 (pow (/ x y) -2)) 1) (/ 2 (pow (/ x y) -2)) (pow (/ x y) -2))

rewrite323.0ms (7.8%)

Memory

5.8MiB live, 247.2MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2982
0	373	2689
1	1863	2559
0	9305	2485

Stop Event

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

Counts

130 → 583

Calls

Call 1

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

eval106.0ms (2.6%)

Memory: -3.1MiB live, 86.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 13 719 to 1 919 computations (86% saved)

prune20.0ms (0.5%)

Memory

2.4MiB live, 43.5MiB allocated; 8ms collecting garbage

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	412	3	415
Fresh	0	1	1
Picked	1	4	5
Done	0	5	5
Total	413	13	426

Accuracy

99.4%

Counts

426 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	45.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
	14.7%	#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)))
✓	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
✓	30.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(literal 1 binary64))
✓	26.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	32.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -2 binary64) #s(literal 1 binary64)))
✓	63.3%	#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)))
	11.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 (/.f64 (+.f64 (pow.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 y) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 y) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 y) #s(literal -2 binary64)))) (cosh.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 y) #s(literal -2 binary64)))) (-.f64 (.f64 (sinh.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 y) #s(literal -2 binary64)))) (sinh.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 y) #s(literal -2 binary64))))) (.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 y) #s(literal -2 binary64)))) (sinh.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal -2 binary64)))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
	28.9%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 (+.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 y) #s(literal -2 binary64)))) (sinh.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	70.6%	#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)))
	70.6%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (neg.f64 (log.f64 y))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	69.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 1 066 to 335 computations (68.6% saved)

regimes51.0ms (1.2%)

Memory

2.2MiB live, 60.7MiB allocated; 53ms collecting garbage

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

36.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
7.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
93.6%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
84.2%	2	`x`
93.1%	3	`y`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes5.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
93.6%	2	`(/.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

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

Counts

10 → 2

Calls

Call 1

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

2.0ms

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

Results

Accuracy	Segments	Branch
93.1%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes191.0ms (4.6%)

Memory

34.0MiB live, 76.8MiB allocated; 81ms 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))) (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))) (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)) (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))

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

Calls

2 calls:

187.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
3.0ms	y

Results

Accuracy	Segments	Branch
86.3%	2	`y`
92.8%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB 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
92.3%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB 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
69.1%	1	`x`
69.1%	1	`y`
69.1%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9888331709471198	0.9999978131913875

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9888331709471198	0.9999978131913875

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9888331709471198	0.9999978131913875

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch29.0ms (0.7%)

Memory

-1.5MiB live, 44.9MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0	NaN
14.0ms	-0.9888331709471198	0.9999978131913875

Samples

9.0ms	416×	0	valid
2.0ms	101×	0	invalid

Compiler

Compiled 902 to 638 computations (29.3% saved)

Precisions

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

adjust: 0.0ms (0% of total)

derivations423.0ms (10.2%)

Memory

-3.1MiB live, 234.6MiB allocated; 123ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 573 to 63 computations (89% saved)

preprocess65.0ms (1.6%)

Memory

23.5MiB live, 109.8MiB allocated; 13ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 3 674 to 1 094 computations (70.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.1%)

sample951.0ms (22.9%)

explain101.0ms (2.4%)

preprocess38.0ms (0.9%)

series10.0ms (0.2%)

rewrite181.0ms (4.4%)

eval17.0ms (0.4%)

prune6.0ms (0.2%)

series33.0ms (0.8%)

rewrite207.0ms (5%)

eval866.0ms (20.9%)

prune30.0ms (0.7%)

series165.0ms (4%)

rewrite163.0ms (3.9%)

eval44.0ms (1.1%)

prune10.0ms (0.2%)

series100.0ms (2.4%)

rewrite323.0ms (7.8%)

eval106.0ms (2.6%)

prune20.0ms (0.5%)

regimes51.0ms (1.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes191.0ms (4.6%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.7%)

derivations423.0ms (10.2%)

preprocess65.0ms (1.6%)

end0.0ms (0%)

Profiling