Metrics for Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample1.1s (36.7%)

Memory

58.3MiB live, 1 271.6MiB allocated; 194ms collecting garbage

Samples

681.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 441.0ms

ival-mult: 201.0ms (45.6% of total)

ival-add: 82.0ms (18.6% of total)

ival-div: 76.0ms (17.2% of total)

ival-sub: 71.0ms (16.1% of total)

exact: 6.0ms (1.4% of total)

adjust: 3.0ms (0.7% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain264.0ms (9%)

Memory

-57.5MiB live, 200.2MiB allocated; 69ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
16	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	o/o	117	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	70
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	117
↳	`(*.f64 x x)`	overflow	63
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	70
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	117
↳	`(*.f64 x x)`	overflow	63
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	16	0
↳	`(*.f64 x x)`	overflow	63
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	70
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	u/u	12	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	67
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	12
↳	`(*.f64 x x)`	underflow	64
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	67
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	12
↳	`(*.f64 x x)`	underflow	64

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	113
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 125 to 31 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 10.0ms (52.4% of total)

ival-div: 3.0ms (15.7% of total)

ival-sub: 2.0ms (10.5% of total)

ival-add: 2.0ms (10.5% of total)

ival-true: 1.0ms (5.2% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess95.0ms (3.2%)

Memory

9.2MiB live, 57.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	116
1	90	116
2	267	114
3	554	114
4	1085	114
5	1523	114
6	1659	114
7	1665	114
0	9	19
0	15	19
1	30	19
2	81	19
3	190	19
4	392	19
5	609	19
6	822	19
7	838	19
0	838	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Outputs

(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))

(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 19 to 9 computations (52.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series10.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

9 → 30

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (- (pow x 2) (* 4 (pow y 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) (* (* y 4) y)) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (+ (* x x) (* (* y 4) y)) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* (* y 4) y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (+ (* -4 (pow y 2)) (pow x 2))))
#s(approx (* (* y 4) y) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))))
#s(approx (+ (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)))
2.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)))
1.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)))
1.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)))
1.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* x x) x (* (* y 4) y) (* y 4) y 4 (+ (* x x) (* (* y 4) y)))

rewrite54.0ms (1.9%)

Memory

4.9MiB live, 48.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	969
0	169	917
0	879	872

Stop Event

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

Counts

39 → 65

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (- (pow x 2) (* 4 (pow y 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x x) (* (* y 4) y)) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (+ (* x x) (* (* y 4) y)) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* (* y 4) y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (+ (* -4 (pow y 2)) (pow x 2))))
#s(approx (* (* y 4) y) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))))
#s(approx (+ (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))

Outputs
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 (.f64 #s(literal 4 binary64) y) y))) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) y)))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 #s(literal 4 binary64) y)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 (.f64 #s(literal 4 binary64) y)) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (neg.f64 (.f64 #s(literal 4 binary64) y)) y))
(fma.f64 x x (.f64 (neg.f64 (.f64 #s(literal 4 binary64) y)) y))
(-.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) y))
(+.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal 4 binary64) y)) y))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
(.f64 (.f64 #s(literal 4 binary64) y) y)
(.f64 y (.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 (.f64 #s(literal 4 binary64) y) y))) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 (.f64 #s(literal 4 binary64) y) y)) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y)))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (.f64 #s(literal 4 binary64) y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 #s(literal 4 binary64) y) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 #s(literal 4 binary64) y) y))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(fma.f64 y (.f64 #s(literal 4 binary64) y) (.f64 x x))
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal 4 binary64) y)) y))
(+.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) y))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (*.f64 x x))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -4 binary64)))) (.f64 x x) (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64))) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (- (* x x) (* (* y 4) y)) (.f64 #s(literal -4 binary64) (.f64 y y)))
#s(approx (- (* x x) (* (* y 4) y)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* x x) (* (* y 4) y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
#s(approx (+ (* x x) (* (* y 4) y)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (*.f64 x x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (.f64 y y) (/.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 y y) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 16 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 y y) (/.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 y y) (.f64 x x))))))
#s(approx (- (* x x) (* (* y 4) y)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) y)) (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
#s(approx (+ (* x x) (* (* y 4) y)) (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (/.f64 (.f64 #s(literal -128 binary64) (.f64 y y)) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (* x x) (* (* y 4) y)) (fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 x x)))
#s(approx (* (* y 4) y) (.f64 (.f64 y y) #s(literal 4 binary64)))
#s(approx (* y 4) (*.f64 #s(literal 4 binary64) y))
#s(approx y y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (*.f64 y y))) #s(literal 1 binary64))))
#s(approx (- (* x x) (* (* y 4) y)) (.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 4 binary64)) (.f64 y y)))
#s(approx (+ (* x x) (* (* y 4) y)) (.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 4 binary64)) (.f64 y y)))

eval8.0ms (0.3%)

Memory: 9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 321 to 279 computations (88% saved)

prune5.0ms (0.2%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Accuracy

99.8%

Counts

91 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
▶	49.6%	(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
▶	45.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
▶	49.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 234 to 118 computations (49.6% saved)

series35.0ms (1.2%)

Memory

-25.8MiB live, 20.3MiB allocated; 4ms collecting garbage

Counts

24 → 97

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))
#s(literal -8 binary64)
(/.f64 (.f64 y y) (.f64 x x))
(*.f64 y y)
y
(*.f64 x x)
x
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(*.f64 #s(literal 4 binary64) y)
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 (/ (+ (* -8 (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 #s(hole binary64 x))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (- (pow x 2) (* 4 (pow y 2)))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 -1))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* 1/4 (/ (pow x 2) (pow y 2)))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 1))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 1))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 1))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ 1 (* 32 (/ (pow y 4) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ 1 (* -128 (/ (pow y 6) (pow x 6)))) (+ (* -32 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 1))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* -4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* 4 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -16 (/ (pow y 4) (pow x 2))) (* 4 (pow y 2))) (pow x 2))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -16 (/ (pow y 4) (pow x 2))) (+ (* 4 (pow y 2)) (* 64 (/ (pow y 6) (pow x 4))))) (pow x 2))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -256 (/ (pow y 8) (pow x 6))) (+ (* -16 (/ (pow y 4) (pow x 2))) (+ (* 4 (pow y 2)) (* 64 (/ (pow y 6) (pow x 4)))))) (pow x 2))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (+ (* -4 (pow y 2)) (pow x 2))))
#s(approx (* (* y 4) y) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx (* (* 4 y) y) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (+ (* -16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (+ (* (pow y 2) (- (* 64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (+ 1 (* 1/16 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (+ 1 (* -1/64 (/ (pow x 6) (pow y 6)))) (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) -8 (/ (* y y) (* x x)) (* y y) y (* x x) x (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* x x) (* (* 4 y) y)) (* (* 4 y) y) (* 4 y) (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ (* x x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))))
4.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) -8 (/ (* y y) (* x x)) (* y y) y (* x x) x (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* x x) (* (* 4 y) y)) (* (* 4 y) y) (* 4 y) (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ (* x x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))))
4.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) -8 (/ (* y y) (* x x)) (* y y) y (* x x) x (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* x x) (* (* 4 y) y)) (* (* 4 y) y) (* 4 y) (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ (* x x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) -8 (/ (* y y) (* x x)) (* y y) y (* x x) x (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* x x) (* (* 4 y) y)) (* (* 4 y) y) (* 4 y) (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ (* x x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))))
2.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) -8 (/ (* y y) (* x x)) (* y y) y (* x x) x (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* x x) (* (* 4 y) y)) (* (* 4 y) y) (* 4 y) (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ (* x x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))))

rewrite222.0ms (7.6%)

Memory

-7.1MiB live, 130.4MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	3673
0	420	3349
1	2229	3273
0	8139	3123

Stop Event

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

Counts

121 → 346

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))
#s(literal -8 binary64)
(/.f64 (.f64 y y) (.f64 x x))
(*.f64 y y)
y
(*.f64 x x)
x
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(*.f64 #s(literal 4 binary64) y)
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 (/ (+ (* -8 (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 #s(hole binary64 x))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (- (pow x 2) (* 4 (pow y 2)))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 -1))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* 1/4 (/ (pow x 2) (pow y 2)))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 1))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 1))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 1))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ 1 (* 32 (/ (pow y 4) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ 1 (* -128 (/ (pow y 6) (pow x 6)))) (+ (* -32 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 1))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* -4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* 4 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -16 (/ (pow y 4) (pow x 2))) (* 4 (pow y 2))) (pow x 2))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -16 (/ (pow y 4) (pow x 2))) (+ (* 4 (pow y 2)) (* 64 (/ (pow y 6) (pow x 4))))) (pow x 2))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -256 (/ (pow y 8) (pow x 6))) (+ (* -16 (/ (pow y 4) (pow x 2))) (+ (* 4 (pow y 2)) (* 64 (/ (pow y 6) (pow x 4)))))) (pow x 2))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (+ (* -4 (pow y 2)) (pow x 2))))
#s(approx (* (* y 4) y) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx (* (* 4 y) y) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (+ (* -16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (+ (* (pow y 2) (- (* 64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (- (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (+ 1 (* 1/16 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (+ 1 (* -1/64 (/ (pow x 6) (pow y 6)))) (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))))))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -512 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (.f64 y y)))) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 x x)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 4 binary64) y) y))) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 4 binary64) y) y))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) #s(literal -8 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 x x) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 #s(literal -4 binary64) (.f64 y y)))) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (.f64 #s(literal -4 binary64) (.f64 y y)))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -512 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -8 binary64) (neg.f64 x)) (/.f64 (*.f64 y y) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) (fabs.f64 x)) (/.f64 (*.f64 y y) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y y) (neg.f64 x)) (/.f64 #s(literal -8 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y y) (fabs.f64 x)) (/.f64 #s(literal -8 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -8 binary64) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))))))
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#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 8 binary64))) (*.f64 y y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))))))
#s(approx (- (* x x) (* (* y 4) y)) (.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) #s(literal 4 binary64)) (*.f64 y y)))
#s(approx (+ (* (* 4 y) y) (* x x)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 4 binary64)) (.f64 y y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y) (/.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 x x) y) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 y y)))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)))) (.f64 y y)))
#s(approx (/ (* x x) (+ (* (* 4 y) y) (* x x))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (.f64 y y)))
#s(approx (+ (* (* 4 y) y) (* x x)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 4 binary64)) (.f64 y y)))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y))))
#s(approx (/ (* (* 4 y) y) (+ (* (* 4 y) y) (* x x))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/64 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))

eval50.0ms (1.7%)

Memory: 30.6MiB live, 75.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 12 416 to 1 202 computations (90.3% saved)

prune18.0ms (0.6%)

Memory

-33.6MiB live, 25.4MiB allocated; 8ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	364	4	368
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	365	8	373

Accuracy

100.0%

Counts

373 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
✓	49.6%	(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
✓	45.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
▶	51.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
▶	27.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
✓	49.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
▶	49.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))

Compiler

Compiled 227 to 113 computations (50.2% saved)

series46.0ms (1.6%)

Memory

11.9MiB live, 57.7MiB allocated; 4ms collecting garbage

Counts

28 → 103

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) (fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(literal -4 binary64)
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
#s(literal -8 binary64)
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 x x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (/.f64 y x) (/.f64 y x))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(*.f64 #s(literal 4 binary64) y)

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (- (* -4 (pow y 2)) (* 4 (pow y 2))))) (pow x 4))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (- (+ (* -4 (pow y 2)) (pow x 2)) (* 4 (pow y 2))))) (pow x 4))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 32 (pow y 4))) (pow x 4))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (+ (* -4 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (* -8 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (/ (+ (* -8 (pow y 4)) (* (pow x 2) (pow y 2))) (pow x 4))))
#s(approx (* (pow (/ y x) 2) -8) #s(hole binary64 (* -8 (/ (pow y 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 #s(hole binary64 x))
#s(approx (* (pow (/ y x) 2) 4) #s(hole binary64 (* 4 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (+ (* (* y y) -8) (* x x)) (* x x)) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) (* x x)) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* -8 (pow y 2))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (+ (* -8 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(hole binary64 (/ (+ (* -8 (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 y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 -1))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (+ (* (* y y) -4) (* x x)) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (+ (* (* y y) -4) (* x x)) #s(hole binary64 (+ (* -4 (pow y 2)) (pow x 2))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 1))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 32 (/ (pow y 4) (pow x 4))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 1))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (* -4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 32 (/ (pow y 4) (pow x 4)))))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (/ (+ (* -8 (/ (pow y 4) (pow x 2))) (pow y 2)) (pow x 2))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) (* x x)) #s(hole binary64 1))
#s(approx (/ (+ (* (* y y) -8) (* x x)) (* x x)) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -8 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(hole binary64 1))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 1))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (* y y) -4) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* y y) -4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (* (pow y 2) (+ (* -8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (* (* 4 y) y) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 8 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* (pow y 4) (- (+ (* 32 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 8 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 4 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* (pow y 4) (- (+ (* 32 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 4 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (* (pow y 4) (- (/ 1 (* (pow x 2) (pow y 2))) (* 8 (/ 1 (pow x 4)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 8))))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (+ (* (* y y) -4) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (* (pow (/ y x) 2) -8) (pow (/ y x) 2) (/ y x) y x 2 -8 1 (* (pow (/ y x) 2) 4) 4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (* y y) -8) (* x x)) (* x x)) (+ (* (* y y) -8) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (* (/ y x) (/ y x))) 1) (* (/ y x) (/ y x)) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y)) (* (* 4 y) y) (* 4 y))
6.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (* (pow (/ y x) 2) -8) (pow (/ y x) 2) (/ y x) y x 2 -8 1 (* (pow (/ y x) 2) 4) 4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (* y y) -8) (* x x)) (* x x)) (+ (* (* y y) -8) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (* (/ y x) (/ y x))) 1) (* (/ y x) (/ y x)) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y)) (* (* 4 y) y) (* 4 y))
4.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (* (pow (/ y x) 2) -8) (pow (/ y x) 2) (/ y x) y x 2 -8 1 (* (pow (/ y x) 2) 4) 4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (* y y) -8) (* x x)) (* x x)) (+ (* (* y y) -8) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (* (/ y x) (/ y x))) 1) (* (/ y x) (/ y x)) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y)) (* (* 4 y) y) (* 4 y))
4.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (* (pow (/ y x) 2) -8) (pow (/ y x) 2) (/ y x) y x 2 -8 1 (* (pow (/ y x) 2) 4) 4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (* y y) -8) (* x x)) (* x x)) (+ (* (* y y) -8) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (* (/ y x) (/ y x))) 1) (* (/ y x) (/ y x)) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y)) (* (* 4 y) y) (* 4 y))
3.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (* (pow (/ y x) 2) -8) (pow (/ y x) 2) (/ y x) y x 2 -8 1 (* (pow (/ y x) 2) 4) 4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (* y y) -8) (* x x)) (* x x)) (+ (* (* y y) -8) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (* (/ y x) (/ y x))) 1) (* (/ y x) (/ y x)) (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y)) (* (* 4 y) y) (* 4 y))

rewrite204.0ms (7%)

Memory

6.0MiB live, 278.6MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	3941
0	364	3529
1	1693	3370
0	8682	3292

Stop Event

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

Counts

131 → 533

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) (fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(literal -4 binary64)
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
#s(literal -8 binary64)
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 x x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (/.f64 y x) (/.f64 y x))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))
(fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))
(.f64 (.f64 #s(literal 4 binary64) y) y)
(*.f64 #s(literal 4 binary64) y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (- (* -4 (pow y 2)) (* 4 (pow y 2))))) (pow x 4))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (- (+ (* -4 (pow y 2)) (pow x 2)) (* 4 (pow y 2))))) (pow x 4))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 32 (pow y 4))) (pow x 4))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (+ (* -4 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (* -8 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (/ (+ (* -8 (pow y 4)) (* (pow x 2) (pow y 2))) (pow x 4))))
#s(approx (* (pow (/ y x) 2) -8) #s(hole binary64 (* -8 (/ (pow y 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 #s(hole binary64 x))
#s(approx (* (pow (/ y x) 2) 4) #s(hole binary64 (* 4 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (+ (* (* y y) -8) (* x x)) (* x x)) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) (* x x)) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* -8 (pow y 2))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (+ (* -8 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(hole binary64 (/ (+ (* -8 (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 y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 -1))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (+ (* (* y y) -4) (* x x)) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (+ (* (* y y) -4) (* x x)) #s(hole binary64 (+ (* -4 (pow y 2)) (pow x 2))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 1))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 32 (/ (pow y 4) (pow x 4))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 1))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (* -4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 32 (/ (pow y 4) (pow x 4)))))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (/ (+ (* -8 (/ (pow y 4) (pow x 2))) (pow y 2)) (pow x 2))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) (* x x)) #s(hole binary64 1))
#s(approx (/ (+ (* (* y y) -8) (* x x)) (* x x)) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -8 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(hole binary64 1))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 1))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (* y y) -4) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* y y) -4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (* (pow y 2) (+ (* -8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (* (* 4 y) y) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 8 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* (pow y 4) (- (+ (* 32 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 8 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 4 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* (pow y 4) (- (+ (* 32 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 4 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) #s(hole binary64 (* (pow y 4) (- (/ 1 (* (pow x 2) (pow y 2))) (* 8 (/ 1 (pow x 4)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 8))))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (+ (* (* y y) -4) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))))
#s(approx (+ (* x x) (* (* 4 y) y)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 4 binary64)) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
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#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 16 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(literal 1 binary64))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(literal 1 binary64))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal -8 binary64) x) (.f64 y y)) (.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 16 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(literal 1 binary64))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (* y y) -8) (* x x)) (*.f64 x x))
#s(approx (+ (* (* y y) -8) (* x x)) (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) #s(literal 1 binary64))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) #s(literal 1 binary64))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 16 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
#s(approx (+ (* (* y y) -4) (* x x)) (*.f64 x x))
#s(approx (+ (* (* y y) -4) (* x x)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (* x x) (* (* 4 y) y)) (*.f64 x x))
#s(approx (+ (* x x) (* (* 4 y) y)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (/.f64 (.f64 #s(literal -128 binary64) (.f64 y y)) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 y y)))
#s(approx y y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (/.f64 (.f64 #s(literal -128 binary64) (.f64 y y)) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (/.f64 (.f64 #s(literal -128 binary64) (.f64 y y)) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (* (* 4 y) y) (.f64 (.f64 y y) #s(literal 4 binary64)))
#s(approx (* 4 y) (*.f64 #s(literal 4 binary64) y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (pow.f64 y #s(literal -4 binary64))) (.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (pow.f64 y #s(literal -4 binary64))) (.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))))))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) (.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 8 binary64))) (*.f64 y y)))
#s(approx (+ (* (* y y) -8) (* x x)) (.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) #s(literal 8 binary64)) (*.f64 y y)))
#s(approx (+ (* -8 (* (/ y x) (/ y x))) 1) (.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 8 binary64))) (*.f64 y y)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))))))
#s(approx (+ (* (* y y) -4) (* x x)) (.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) #s(literal 4 binary64)) (*.f64 y y)))
#s(approx (+ (* x x) (* (* 4 y) y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 4 binary64)) (.f64 y y)))

eval121.0ms (4.1%)

Memory: -11.2MiB live, 136.4MiB allocated; 37ms collecting garbage
Compiler: Compiled 31 072 to 2 511 computations (91.9% saved)

prune16.0ms (0.5%)

Memory

1.6MiB live, 48.7MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	653	2	655
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	654	9	663

Accuracy

100.0%

Counts

663 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
✓	49.6%	(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
✓	45.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
✓	51.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
✓	27.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
▶	28.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x) x))
✓	49.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
▶	49.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))

Compiler

Compiled 278 to 142 computations (48.9% saved)

series26.0ms (0.9%)

Memory

-0.7MiB live, 50.5MiB allocated; 7ms collecting garbage

Counts

24 → 88

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(/.f64 y x)
y
x
#s(literal 4 binary64)
#s(literal 32 binary64)
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -4 binary64)
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x) x))
(/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x) x)
(/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x)
(fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x))
(*.f64 y y)
#s(literal -8 binary64)
(*.f64 x x)

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (- (* -4 (pow y 2)) (* 4 (pow y 2))))) (pow x 4))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (- (+ (* -4 (pow y 2)) (pow x 2)) (* 4 (pow y 2))))) (pow x 4))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 32 (pow y 4))) (pow x 4))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (+ (* -4 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 32 (pow y 4))) (pow x 4))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (+ (* -4 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 32 (pow y 4))) (pow x 4))))
#s(approx (pow (/ y x) 4) #s(hole binary64 (/ (pow y 4) (pow x 4))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow (/ y x) 2) -4) #s(hole binary64 (* -4 (/ (pow y 2) (pow x 2)))))
#s(approx (pow (/ y x) 2) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (* (pow (/ y x) 2) 4) #s(hole binary64 (* 4 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (* -8 (/ (pow y 2) x))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (pow x 2)) x)))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* -8 (pow y 2))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (+ (* -8 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 1))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 32 (/ (pow y 4) (pow x 4))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 1))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (* -4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 32 (/ (pow y 4) (pow x 4)))))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (+ 1 (* -4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 32 (/ (pow y 4) (pow x 4)))))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (* -4 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (/ (+ (* -4 (pow y 2)) (* 32 (/ (pow y 4) (pow x 2)))) (pow x 2))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(hole binary64 1))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 x))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -8 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -8 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (* -1 (* x (- (* 8 (/ (pow y 2) (pow x 2))) 1)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (+ x (* -8 (/ (pow y 2) x)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 8 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* (pow y 4) (- (+ (* 32 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 8 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 4 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* (pow y 4) (- (+ (* 32 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 4 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 4 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (* (pow y 4) (- (+ (* 32 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 4 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 4 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (* (pow y 2) (- (/ x (pow y 2)) (* 8 (/ 1 x))))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 8))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (pow (/ y x) 4) (/ y x) y x 4 32 (* (pow (/ y x) 2) -4) (pow (/ y x) 2) 2 -4 1 (* (pow (/ y x) 2) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (/ (+ (* (* y y) -8) (* x x)) x) x) (/ (+ (* (* y y) -8) (* x x)) x) (+ (* (* y y) -8) (* x x)) (* y y) -8 (* x x))
4.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (pow (/ y x) 4) (/ y x) y x 4 32 (* (pow (/ y x) 2) -4) (pow (/ y x) 2) 2 -4 1 (* (pow (/ y x) 2) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (/ (+ (* (* y y) -8) (* x x)) x) x) (/ (+ (* (* y y) -8) (* x x)) x) (+ (* (* y y) -8) (* x x)) (* y y) -8 (* x x))
3.0ms	x	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (pow (/ y x) 4) (/ y x) y x 4 32 (* (pow (/ y x) 2) -4) (pow (/ y x) 2) 2 -4 1 (* (pow (/ y x) 2) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (/ (+ (* (* y y) -8) (* x x)) x) x) (/ (+ (* (* y y) -8) (* x x)) x) (+ (* (* y y) -8) (* x x)) (* y y) -8 (* x x))
3.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (pow (/ y x) 4) (/ y x) y x 4 32 (* (pow (/ y x) 2) -4) (pow (/ y x) 2) 2 -4 1 (* (pow (/ y x) 2) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (/ (+ (* (* y y) -8) (* x x)) x) x) (/ (+ (* (* y y) -8) (* x x)) x) (+ (* (* y y) -8) (* x x)) (* y y) -8 (* x x))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (pow (/ y x) 4) (/ y x) y x 4 32 (* (pow (/ y x) 2) -4) (pow (/ y x) 2) 2 -4 1 (* (pow (/ y x) 2) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (/ (+ (* (* y y) -8) (* x x)) x) x) (/ (+ (* (* y y) -8) (* x x)) x) (+ (* (* y y) -8) (* x x)) (* y y) -8 (* x x))

rewrite194.0ms (6.6%)

Memory

50.4MiB live, 276.1MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	3479
0	326	3205
1	1534	3066
0	8509	2885

Stop Event

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

Counts

112 → 349

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(/.f64 y x)
y
x
#s(literal 4 binary64)
#s(literal 32 binary64)
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -4 binary64)
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x) x))
(/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x) x)
(/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x)
(fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x))
(*.f64 y y)
#s(literal -8 binary64)
(*.f64 x x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (- (* -4 (pow y 2)) (* 4 (pow y 2))))) (pow x 4))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (- (+ (* -4 (pow y 2)) (pow x 2)) (* 4 (pow y 2))))) (pow x 4))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 32 (pow y 4))) (pow x 4))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (+ (* -4 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 32 (pow y 4))) (pow x 4))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (/ (+ (* 32 (pow y 4)) (* (pow x 2) (+ (* -4 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (* 32 (/ (pow y 4) (pow x 4)))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (/ (+ (* -4 (* (pow x 2) (pow y 2))) (* 32 (pow y 4))) (pow x 4))))
#s(approx (pow (/ y x) 4) #s(hole binary64 (/ (pow y 4) (pow x 4))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow (/ y x) 2) -4) #s(hole binary64 (* -4 (/ (pow y 2) (pow x 2)))))
#s(approx (pow (/ y x) 2) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (* (pow (/ y x) 2) 4) #s(hole binary64 (* 4 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (* -8 (/ (pow y 2) x))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (pow x 2)) x)))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* -8 (pow y 2))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (+ (* -8 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 1))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 32 (/ (pow y 4) (pow x 4))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 1))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (* -4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 32 (/ (pow y 4) (pow x 4)))))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (+ 1 (* -4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 32 (/ (pow y 4) (pow x 4)))))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (* -4 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (/ (+ (* -4 (pow y 2)) (* 32 (/ (pow y 4) (pow x 2)))) (pow x 2))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(hole binary64 1))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 x))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -8 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -8 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (* -1 (* x (- (* 8 (/ (pow y 2) (pow x 2))) 1)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (+ x (* -8 (/ (pow y 2) x)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 8 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* (pow y 4) (- (+ (* 32 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 8 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 4 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(hole binary64 (* (pow y 4) (- (+ (* 32 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 4 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 4 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(hole binary64 (* (pow y 4) (- (+ (* 32 (/ 1 (pow x 4))) (/ 1 (pow y 4))) (/ 4 (* (pow x 2) (pow y 2)))))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) #s(hole binary64 (* (pow y 4) (- (* 32 (/ 1 (pow x 4))) (* 4 (/ 1 (* (pow x 2) (pow y 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) #s(hole binary64 (* (pow y 2) (- (/ x (pow y 2)) (* 8 (/ 1 x))))))
#s(approx (+ (* (* y y) -8) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 8))))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
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#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 16 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) #s(literal 1 binary64))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) #s(literal 1 binary64))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) #s(literal 1 binary64))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 32 binary64) x) (.f64 (.f64 y y) #s(literal -4 binary64))) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -4 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal -8 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 16 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) #s(literal 1 binary64))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) x)
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (* y y) -8) (* x x)) (*.f64 x x))
#s(approx (+ (* (* y y) -8) (* x x)) (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (/.f64 (.f64 #s(literal -128 binary64) (.f64 y y)) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 y y)))
#s(approx y y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (/.f64 (.f64 #s(literal -128 binary64) (.f64 y y)) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -8 binary64) x))
#s(approx (* y y) (*.f64 y y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (pow.f64 y #s(literal -4 binary64))) (.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (pow.f64 y #s(literal -4 binary64))) (.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (pow.f64 y #s(literal -4 binary64))) (.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 x x) y)) (+.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 x x) y) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))))))
#s(approx (/ (/ (+ (* (* y y) -8) (* x x)) x) x) (.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 8 binary64))) (*.f64 y y)))
#s(approx (/ (+ (* (* y y) -8) (* x x)) x) (.f64 (-.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal 8 binary64) x)) (*.f64 y y)))
#s(approx (+ (* (* y y) -8) (* x x)) (.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) #s(literal 8 binary64)) (*.f64 y y)))

eval48.0ms (1.6%)

Memory: 1.8MiB live, 93.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 25 241 to 1 914 computations (92.4% saved)

prune17.0ms (0.6%)

Memory

-17.9MiB live, 34.1MiB allocated; 8ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	385	2	387
Fresh	0	0	0
Picked	2	0	2
Done	0	7	7
Total	387	9	396

Accuracy

100.0%

Counts

396 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
✓	49.6%	(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
✓	45.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
✓	51.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
✓	27.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
	48.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (/ (+ (* (* y y) -8) (* x x)) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -8 binary64) x)) x))
✓	49.7%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	51.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
	49.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) x) (/.f64 y x))))

Compiler

Compiled 766 to 239 computations (68.8% saved)

regimes22.0ms (0.7%)

Memory

-3.5MiB live, 43.1MiB allocated; 2ms collecting garbage

Counts

14 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (/ (+ (* (* y y) -8) (* x x)) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -8 binary64) x)) x))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x) x))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) x) (/.f64 y x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* 4 y) y))) (-.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))

Outputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))

(-.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

5 calls:

4.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
4.0ms	y
4.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
86.9%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
81.7%	4	`(*.f64 x x)`
76.9%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
81.7%	4	`x`
86.9%	3	`y`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes7.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (/ (+ (* (* y y) -8) (* x x)) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -8 binary64) x)) x))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x) x))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (*.f64 #s(literal 4 binary64) y) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Outputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))

(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

2 calls:

3.0ms	y
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
86.9%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
86.9%	3	`y`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes9.0ms (0.3%)

Memory

-32.4MiB live, 13.4MiB allocated; 4ms collecting garbage

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (/ (+ (* (* y y) -8) (* x x)) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -8 binary64) x)) x))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x) x))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y)))

Outputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))

(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

2 calls:

5.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
3.0ms	y

Results

Accuracy	Segments	Branch
86.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
86.7%	3	`y`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes6.0ms (0.2%)

Memory

13.3MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (/ (+ (* (* y y) -8) (* x x)) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -8 binary64) x)) x))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) x) x))

Outputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

2 calls:

3.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
81.1%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
81.1%	2	`y`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory

11.2MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (/ (+ (* (* y y) -8) (* x x)) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -8 binary64) x)) x))

Outputs

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (/ (+ (* (* y y) -8) (* x x)) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -8 binary64) x)) x))

#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

2 calls:

2.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
80.8%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
80.8%	2	`y`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

2 calls:

2.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
80.4%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
80.4%	2	`y`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes8.0ms (0.3%)

Memory

-31.7MiB live, 14.7MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Calls

5 calls:

4.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
1.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
51.2%	1	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
51.2%	1	`(*.f64 x x)`
51.2%	1	`x`
51.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
51.2%	1	`y`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch78.0ms (2.7%)

Memory

-14.3MiB live, 49.6MiB allocated; 76ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.4953195718205305e+94	1.4111849478673256e+98
10.0ms	7.713745410861526e-159	3.125568457779186e-158

Samples

13.0ms

224×

valid

Compiler

Compiled 748 to 360 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (50% of total)

ival-sub: 1.0ms (12.5% of total)

ival-div: 1.0ms (12.5% of total)

ival-add: 1.0ms (12.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.4953195718205305e+94	1.4111849478673256e+98
1.0ms	7.713745410861526e-159	3.125568457779186e-158

Compiler

Compiled 622 to 374 computations (39.9% saved)

bsearch2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.4953195718205305e+94	1.4111849478673256e+98
1.0ms	7.713745410861526e-159	3.125568457779186e-158

Compiler

Compiled 608 to 374 computations (38.5% saved)

bsearch11.0ms (0.4%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.489257499309139e-8	3.8769211602361877e-7

Samples

6.0ms

96×

valid

Compiler

Compiled 328 to 182 computations (44.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (58.5% of total)

ival-div: 1.0ms (29.2% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.489257499309139e-8	3.8769211602361877e-7

Compiler

Compiled 400 to 218 computations (45.5% saved)

bsearch16.0ms (0.6%)

Memory

-34.3MiB live, 16.4MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
15.0ms	2.560106509342858e-19	1.3870605738558137e-17

Samples

5.0ms

80×

valid

Compiler

Compiled 232 to 134 computations (42.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (36% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify48.0ms (1.6%)

Memory

10.0MiB live, 56.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	428
1	97	428
2	218	428
3	512	426
4	1049	426
5	3304	426

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 140000000000000002712071978422820794286916796601113666117540295571504623123338437286114651103297536 binary64)) (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 140000000000000002712071978422820794286916796601113666117540295571504623123338437286114651103297536 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 140000000000000002712071978422820794286916796601113666117540295571504623123338437286114651103297536 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 519460313115661/4722366482869645213696 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 519460313115661/4722366482869645213696 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (/ (+ (* (* y y) -8) (* x x)) x) (fma.f64 (/.f64 (.f64 y y) x) #s(literal -8 binary64) x)) x)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 7788445287802241/649037107316853453566312041152512 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 y #s(literal 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 140000000000000002712071978422820794286916796601113666117540295571504623123338437286114651103297536 binary64)) (-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 140000000000000002712071978422820794286916796601113666117540295571504623123338437286114651103297536 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 463744502762071/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 140000000000000002712071978422820794286916796601113666117540295571504623123338437286114651103297536 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) y))) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))))
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#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

derivations134.0ms (4.6%)

Memory

-5.9MiB live, 134.4MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 428 to 62 computations (85.5% saved)

preprocess69.0ms (2.4%)

Memory: 44.0MiB live, 89.9MiB allocated; 4ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 572 to 374 computations (76.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.1s (36.7%)

explain264.0ms (9%)

preprocess95.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series10.0ms (0.3%)

rewrite54.0ms (1.9%)

eval8.0ms (0.3%)

prune5.0ms (0.2%)

series35.0ms (1.2%)

rewrite222.0ms (7.6%)

eval50.0ms (1.7%)

prune18.0ms (0.6%)

series46.0ms (1.6%)

rewrite204.0ms (7%)

eval121.0ms (4.1%)

prune16.0ms (0.5%)

series26.0ms (0.9%)

rewrite194.0ms (6.6%)

eval48.0ms (1.6%)

prune17.0ms (0.6%)

regimes22.0ms (0.7%)

regimes7.0ms (0.2%)

regimes9.0ms (0.3%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes8.0ms (0.3%)

bsearch78.0ms (2.7%)

bsearch2.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch11.0ms (0.4%)

bsearch1.0ms (0%)

bsearch16.0ms (0.6%)

simplify48.0ms (1.6%)

derivations134.0ms (4.6%)

preprocess69.0ms (2.4%)

end0.0ms (0%)

Profiling