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%)

Memory

4.3MiB live, 4.3MiB 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)

sample3.1s (72.2%)

Memory

-176.4MiB live, 1 460.7MiB allocated; 3.0s collecting garbage

Samples

2.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-div!: 2.3s (88.7% of total)

ival-mult!: 241.0ms (9.3% of total)

ival-add!: 31.0ms (1.2% of total)

ival-sub!: 16.0ms (0.6% of total)

adjust: 1.0ms (0% of total)

Bogosity

explain145.0ms (3.4%)

Memory

32.2MiB live, 172.5MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(/.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)))`
12	-	-	`(-.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	105	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	67
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	105
↳	`(*.f64 x x)`	overflow	50
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	67
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	105
↳	`(*.f64 x x)`	overflow	50
`/.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	14	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	59
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	14
↳	`(*.f64 x x)`	underflow	71
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	59
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	14
↳	`(*.f64 x x)`	underflow	71
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	12	0
↳	`(*.f64 x x)`	overflow	50
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	67

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	107
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 125 to 31 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult!: 7.0ms (64.7% of total)

ival-div!: 2.0ms (18.5% of total)

ival-sub!: 1.0ms (9.2% of total)

ival-add!: 1.0ms (9.2% of total)

adjust: 0.0ms (0% of total)

preprocess53.0ms (1.3%)

Memory

-40.0MiB live, 10.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (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

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.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)))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 38 to 18 computations (52.6% saved)

series10.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB 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)))

rewrite57.0ms (1.3%)

Memory

26.2MiB live, 69.6MiB allocated; 6ms 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)))

eval11.0ms (0.3%)

Memory: -27.8MiB live, 16.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 055 to 278 computations (86.5% saved)

prune5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	7	77

Accuracy

98.7%

Counts

77 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 #s(literal 4 binary64) y)) y)) (+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y)))
	53.5%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
	53.5%	(-.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))))
▶	44.2%	#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)))
▶	48.3%	#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)))
▶	47.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	51.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 334 to 174 computations (47.9% saved)

series20.0ms (0.5%)

Memory

1.8MiB live, 46.7MiB allocated; 4ms collecting garbage

Counts

26 → 60

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* x x) (* (neg (* 4 y)) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (+ (* x x) (* (neg (* 4 y)) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (+ (* x x) (* (neg (* 4 y)) 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) (* (neg (* 4 y)) 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) (* (neg (* 4 y)) y)) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (+ (* x x) (* (neg (* 4 y)) y)) #s(hole binary64 (+ (* -4 (pow y 2)) (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) #s(hole binary64 (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 (+ (* -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 (- (/ (* 1/2 (* x x)) (* y y)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* 1/2 (* x x)) (* y y)) 1) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* 1/2 (* x x)) (* y y)) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (* 1/2 (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (+ (* x x) (* (neg (* 4 y)) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 1))
#s(approx (/ (+ (* x x) (* (neg (* 4 y)) 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) (* (neg (* 4 y)) 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) (* (neg (* 4 y)) 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) (* (neg (* 4 y)) y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (neg (* 4 y)) 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))
#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 (- (/ (* 1/2 (* x x)) (* y y)) 1) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (- (/ (* 1/2 (* x x)) (* y y)) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))))
#s(approx (/ (+ (* x x) (* (neg (* 4 y)) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (+ (* x x) (* (neg (* 4 y)) 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) (* (neg (* 4 y)) 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 (* (neg (* 4 y)) y) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (neg (* 4 y)) #s(hole binary64 (* -4 y)))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (* y 4) y) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (* y 4) #s(hole binary64 (* 4 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 (- (/ (* 1/2 (* x x)) (* y y)) 1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))))
#s(approx (/ (+ (* x x) (* (neg (* 4 y)) 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) (* (neg (* 4 y)) 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) (* (neg (* 4 y)) 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) (* (neg (* 4 y)) 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))))))
#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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((/ (+ (* x x) (* (neg (* 4 y)) y)) (+ (* x x) (* (* y 4) y))) (+ (* x x) (* (neg (* 4 y)) y)) x (* (neg (* 4 y)) y) (neg (* 4 y)) (* 4 y) 4 y (+ (* x x) (* (* y 4) y)) (* x x) (* (* y 4) y) (* y 4) (/ (- (* 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) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* 1/2 (* x x)) (* y y)) 1) (/ (* 1/2 (* x x)) (* y y)) (* 1/2 (* x x)) 1/2)
3.0ms	x	@	-inf	((/ (+ (* x x) (* (neg (* 4 y)) y)) (+ (* x x) (* (* y 4) y))) (+ (* x x) (* (neg (* 4 y)) y)) x (* (neg (* 4 y)) y) (neg (* 4 y)) (* 4 y) 4 y (+ (* x x) (* (* y 4) y)) (* x x) (* (* y 4) y) (* y 4) (/ (- (* 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) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* 1/2 (* x x)) (* y y)) 1) (/ (* 1/2 (* x x)) (* y y)) (* 1/2 (* x x)) 1/2)
3.0ms	x	@	0	((/ (+ (* x x) (* (neg (* 4 y)) y)) (+ (* x x) (* (* y 4) y))) (+ (* x x) (* (neg (* 4 y)) y)) x (* (neg (* 4 y)) y) (neg (* 4 y)) (* 4 y) 4 y (+ (* x x) (* (* y 4) y)) (* x x) (* (* y 4) y) (* y 4) (/ (- (* 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) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* 1/2 (* x x)) (* y y)) 1) (/ (* 1/2 (* x x)) (* y y)) (* 1/2 (* x x)) 1/2)
3.0ms	y	@	-inf	((/ (+ (* x x) (* (neg (* 4 y)) y)) (+ (* x x) (* (* y 4) y))) (+ (* x x) (* (neg (* 4 y)) y)) x (* (neg (* 4 y)) y) (neg (* 4 y)) (* 4 y) 4 y (+ (* x x) (* (* y 4) y)) (* x x) (* (* y 4) y) (* y 4) (/ (- (* 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) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* 1/2 (* x x)) (* y y)) 1) (/ (* 1/2 (* x x)) (* y y)) (* 1/2 (* x x)) 1/2)
3.0ms	x	@	inf	((/ (+ (* x x) (* (neg (* 4 y)) y)) (+ (* x x) (* (* y 4) y))) (+ (* x x) (* (neg (* 4 y)) y)) x (* (neg (* 4 y)) y) (neg (* 4 y)) (* 4 y) 4 y (+ (* x x) (* (* y 4) y)) (* x x) (* (* y 4) y) (* y 4) (/ (- (* 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) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* 1/2 (* x x)) (* y y)) 1) (/ (* 1/2 (* x x)) (* y y)) (* 1/2 (* x x)) 1/2)

rewrite69.0ms (1.6%)

Memory

-7.5MiB live, 92.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	2091
0	246	1932
0	1115	1851

Stop Event

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

Counts

86 → 157

Calls

Call 1

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

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

eval16.0ms (0.4%)

Memory: -5.7MiB live, 40.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 870 to 597 computations (87.7% saved)

prune4.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	148	4	152
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	151	8	159

Accuracy

99.1%

Counts

159 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.f64 (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
▶	53.5%	(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x))) (/.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 x x))))
▶	49.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -8 binary64) #s(literal 1 binary64)))
✓	44.2%	#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)))
✓	48.3%	#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)))
▶	29.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x))))
✓	47.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	51.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 221 to 113 computations (48.9% saved)

series27.0ms (0.6%)

Memory

17.6MiB live, 63.3MiB allocated; 3ms collecting garbage

Counts

26 → 107

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite190.0ms (4.5%)

Memory

1.3MiB live, 290.6MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	3908
0	448	3485
1	2308	3427
0	8121	3333

Stop Event

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

Counts

133 → 383

Calls

Call 1

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

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

eval45.0ms (1.1%)

Memory: 7.2MiB live, 97.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 17 704 to 1 653 computations (90.7% saved)

prune16.0ms (0.4%)

Memory

-19.5MiB live, 31.6MiB allocated; 10ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	458	4	462
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	460	10	470

Accuracy

99.3%

Counts

470 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(fma.f64 x (/.f64 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))))
✓	53.5%	(/.f64 (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
✓	44.2%	#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)))
▶	47.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) 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))))
✓	48.3%	#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)))
▶	49.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))))
✓	29.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x))))
▶	49.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (-.f64 (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)))))
✓	47.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	51.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 329 to 171 computations (48% saved)

series33.0ms (0.8%)

Memory

-11.6MiB live, 82.2MiB allocated; 4ms collecting garbage

Counts

32 → 122

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (-.f64 (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 (+ (* -8 (/ (* y y) (* x x))) 1) (-.f64 (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))))
(-.f64 (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)))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
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(literal 4 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -8 binary64)) x)
(*.f64 y #s(literal -8 binary64))
#s(literal -8 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) 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))
(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))
(fma.f64 x (/.f64 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 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 #s(literal 4 binary64) 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 #s(literal -4 binary64) y) y)
(*.f64 #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 (+ (* -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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (- (* -4 (pow y 2)) (* 4 (pow y 2))) (pow x 2))))
#s(approx (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (- (+ (* -4 (pow y 2)) (pow x 2)) (* 4 (pow y 2))) (pow x 2))))
#s(approx (+ (* (pow (/ y x) 2) -4) 1) #s(hole binary64 (* -4 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (pow (/ y x) 2) -4) 1) #s(hole binary64 (/ (+ (* -4 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (pow (/ y x) 2) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow (/ y x) 2) 4) #s(hole binary64 (* 4 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (/ y x) (/ (* y -8) x)) 1) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (/ y x) (/ (* y -8) x)) 1) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (/ (* y -8) x) #s(hole binary64 (* -8 (/ y x))))
#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 (+ (* 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 (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* 1/4 (/ x (pow y 2)))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* (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 (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* (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 (* x x) #s(hole binary64 (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 (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 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))))) 1)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 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))))) 1)))
#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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 1))
#s(approx (- (+ (* (pow (/ y x) 2) -4) 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 (+ (* (pow (/ y x) 2) -4) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (/ y x) 2) -4) 1) #s(hole binary64 (+ 1 (* -4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (/ y x) (/ (* y -8) x)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (/ (* y -8) x)) 1) #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))
#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 (+ (* (* 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 (* -4 (/ (pow y 2) (pow x 2)))) (* 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 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 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 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x)))
#s(approx (/ 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))))) x)))
#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 (/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (pow x 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x))))
#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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx y #s(hole binary64 y))
#s(approx (* y -8) #s(hole binary64 (* -8 y)))
#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 (+ (* 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 (* (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 (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#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 (* (* -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) (* (* 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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (/ y x) 2) -4) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 4 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ y x) (/ (* y -8) x)) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 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 (* (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 (+ (* (* 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 (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (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 (- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4))))))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (+ (* (pow (/ y x) 2) -4) 1) (pow (/ y x) 2) (/ y x) y x 2 -4 1 (* (pow (/ y x) 2) 4) 4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (+ (* (/ y x) (/ (* y -8) x)) 1) (/ (* y -8) x) (* y -8) -8 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) 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) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (* (pow (/ y x) 2) -8) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* x x) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (* (* -4 y) y) (* -4 y))
6.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (+ (* (pow (/ y x) 2) -4) 1) (pow (/ y x) 2) (/ y x) y x 2 -4 1 (* (pow (/ y x) 2) 4) 4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (+ (* (/ y x) (/ (* y -8) x)) 1) (/ (* y -8) x) (* y -8) -8 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) 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) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (* (pow (/ y x) 2) -8) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* x x) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (* (* -4 y) y) (* -4 y))
5.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (+ (* (pow (/ y x) 2) -4) 1) (pow (/ y x) 2) (/ y x) y x 2 -4 1 (* (pow (/ y x) 2) 4) 4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (+ (* (/ y x) (/ (* y -8) x)) 1) (/ (* y -8) x) (* y -8) -8 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) 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) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (* (pow (/ y x) 2) -8) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* x x) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (* (* -4 y) y) (* -4 y))
5.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (+ (* (pow (/ y x) 2) -4) 1) (pow (/ y x) 2) (/ y x) y x 2 -4 1 (* (pow (/ y x) 2) 4) 4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (+ (* (/ y x) (/ (* y -8) x)) 1) (/ (* y -8) x) (* y -8) -8 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) 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) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (* (pow (/ y x) 2) -8) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* x x) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (* (* -4 y) y) (* -4 y))
4.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (+ (* (pow (/ y x) 2) -4) 1) (pow (/ y x) 2) (/ y x) y x 2 -4 1 (* (pow (/ y x) 2) 4) 4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) (+ (* (/ y x) (/ (* y -8) x)) 1) (/ (* y -8) x) (* y -8) -8 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) 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) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2)) (* (pow (/ y x) 2) -8) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* x x) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (* (* -4 y) y) (* -4 y))

rewrite167.0ms (4%)

Memory

18.6MiB live, 248.5MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	518	4698
0	560	4197
1	2904	4132
0	8690	3972

Stop Event

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

Counts

154 → 367

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (-.f64 (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 (+ (* -8 (/ (* y y) (* x x))) 1) (-.f64 (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))))
(-.f64 (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)))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
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(literal 4 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -8 binary64)) x)
(*.f64 y #s(literal -8 binary64))
#s(literal -8 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) 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))
(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))
(fma.f64 x (/.f64 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 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 #s(literal 4 binary64) 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 #s(literal -4 binary64) y) y)
(*.f64 #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 (+ (* -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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (- (* -4 (pow y 2)) (* 4 (pow y 2))) (pow x 2))))
#s(approx (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (/ (- (+ (* -4 (pow y 2)) (pow x 2)) (* 4 (pow y 2))) (pow x 2))))
#s(approx (+ (* (pow (/ y x) 2) -4) 1) #s(hole binary64 (* -4 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (pow (/ y x) 2) -4) 1) #s(hole binary64 (/ (+ (* -4 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (pow (/ y x) 2) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow (/ y x) 2) 4) #s(hole binary64 (* 4 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (/ y x) (/ (* y -8) x)) 1) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (/ y x) (/ (* y -8) x)) 1) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (/ (* y -8) x) #s(hole binary64 (* -8 (/ y x))))
#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 (+ (* 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 (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* 1/4 (/ x (pow y 2)))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* (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 (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* (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 (* x x) #s(hole binary64 (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 (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 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))))) 1)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 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))))) 1)))
#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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 1))
#s(approx (- (+ (* (pow (/ y x) 2) -4) 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 (+ (* (pow (/ y x) 2) -4) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (/ y x) 2) -4) 1) #s(hole binary64 (+ 1 (* -4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* (/ y x) (/ (* y -8) x)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (/ (* y -8) x)) 1) #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))
#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 (+ (* (* 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 (* -4 (/ (pow y 2) (pow x 2)))) (* 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 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 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 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x)))
#s(approx (/ 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))))) x)))
#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 (/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (pow x 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x))))
#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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx y #s(hole binary64 y))
#s(approx (* y -8) #s(hole binary64 (* -8 y)))
#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 (+ (* 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 (* (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 (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#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 (* (* -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) (* (* 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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (/ y x) 2) -4) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 4 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ y x) (/ (* y -8) x)) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 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 (* (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 (+ (* (* 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 (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (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 (- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4))))))))

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))))
#s(approx (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x))) (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 y y) #s(literal 4 binary64)))) (.f64 (neg.f64 (.f64 x x)) (*.f64 x x)))
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#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (neg.f64 (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))
#s(approx y y)
#s(approx (* y -8) (*.f64 #s(literal -8 binary64) y))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 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 (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (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 (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (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 (+ (* (* 4 y) y) (* x x))) (fma.f64 (/.f64 (*.f64 y y) (pow.f64 x #s(literal 3 binary64))) #s(literal -4 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 5 binary64))) #s(literal 16 binary64) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -3 binary64)))) (*.f64 y y) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 16 binary64) (/.f64 (.f64 #s(literal -64 binary64) (.f64 y y)) (pow.f64 x #s(literal 7 binary64)))) (.f64 y y) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -3 binary64)))) (*.f64 y y) (pow.f64 x #s(literal -1 binary64))))
#s(approx (* 4 y) (*.f64 #s(literal 4 binary64) y))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 y y)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 16 binary64) (/.f64 (.f64 #s(literal -64 binary64) (.f64 y y)) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 y y)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 8 binary64))) #s(literal 256 binary64) (.f64 #s(literal -64 binary64) (pow.f64 x #s(literal -6 binary64)))) (.f64 y y) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 16 binary64))) (.f64 y y) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 y y)))
#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) (.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))) (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) (.f64 x x)) (.f64 y y)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 y 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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (.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 (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))
#s(approx (- (+ (* (pow (/ y x) 2) -4) 1) (* (pow (/ y x) 2) 4)) (.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 (+ (* (pow (/ y x) 2) -4) 1) (.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 y y)))
#s(approx (+ (* (/ y x) (/ (* y -8) 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 (- (+ (* -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 (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (-.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 (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (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) (.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 (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) #s(literal -1/16 binary64) (.f64 #s(literal 1/4 binary64) x)) (*.f64 y y)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))) (.f64 y y)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (.f64 #s(literal 1/4 binary64) x)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 y y)))) (.f64 y y)))
#s(approx (+ (* (* 4 y) y) (* x x)) (.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 4 binary64)) (.f64 y y)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (-.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1 binary64))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))

eval72.0ms (1.7%)

Memory: 2.1MiB live, 110.8MiB allocated; 32ms collecting garbage
Compiler: Compiled 25 785 to 2 238 computations (91.3% saved)

prune17.0ms (0.4%)

Memory

-16.6MiB live, 30.1MiB allocated; 2ms collecting garbage

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	502	5	507
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	504	13	517

Accuracy

99.4%

Counts

517 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.8%	(fma.f64 x (/.f64 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))))
✓	53.5%	(/.f64 (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
✓	44.2%	#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)))
✓	48.3%	#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)))
	47.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) 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 #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))))
	47.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
✓	49.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))))
	49.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (/.f64 (fma.f64 (.f64 (/.f64 y x) (.f64 #s(literal -8 binary64) y)) #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))))
✓	29.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x))))
	49.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 4 binary64)))))
✓	47.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	51.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
	48.1%	#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -64 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))) (fma.f64 #s(literal -16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 64 binary64))))))

Compiler

Compiled 1 317 to 421 computations (68% saved)

regimes29.0ms (0.7%)

Memory

1.8MiB live, 48.1MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

(fma.f64 x (/.f64 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:

6.0ms	(*.f64 x x)
6.0ms	y
6.0ms	x
5.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
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)))

Results

Accuracy	Segments	Branch
87.1%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
81.2%	3	`(*.f64 x x)`
80.0%	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)))`
81.2%	3	`x`
87.1%	3	`y`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes8.0ms (0.2%)

Memory

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

Counts

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	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)

regimes14.0ms (0.3%)

Memory

-31.9MiB live, 20.0MiB allocated; 3ms 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 (/.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))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (/.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))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (fma.f64 (/.f64 y x) (/.f64 (*.f64 y #s(literal -8 binary64)) x) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -8 binary64) #s(literal 1 binary64)))

Outputs

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

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

Calls

5 calls:

5.0ms	x
2.0ms	y
2.0ms	(*.f64 x x)
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
2.0ms	(/.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)))

Results

Accuracy	Segments	Branch
75.0%	2	`(*.f64 x x)`
75.0%	2	`x`
79.3%	3	`(/.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)))`
79.5%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
79.5%	2	`y`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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 (/.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))) #s(approx (+ (* -8 (/ (* y y) (* x x))) 1) (/.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
78.9%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
78.9%	2	`y`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
51.9%	1	`(*.f64 x x)`
51.9%	1	`x`
51.9%	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)))`
51.9%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
51.9%	1	`y`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch21.0ms (0.5%)

Memory

-15.6MiB live, 31.0MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.457743218725291e+146	2.865487716064467e+148
9.0ms	5.34956739933594e-151	5.674122641063254e-149

Samples

9.0ms

224×

valid

Compiler

Compiled 827 to 448 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 3.0ms (65% of total)

ival-div!: 1.0ms (21.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch13.0ms (0.3%)

Memory

25.2MiB live, 25.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.5037974354231886e+145	4.457743218725291e+146
4.0ms	1.3902584165579574e-168	1.7263714403073568e-168

Samples

6.0ms

144×

valid

Compiler

Compiled 427 to 266 computations (37.7% saved)

Precisions

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

ival-mult!: 2.0ms (70% of total)

ival-div!: 1.0ms (35% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch9.0ms (0.2%)

Memory

-35.9MiB live, 10.6MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.9231732378391993e-34	6.696802737246559e-34

Samples

3.0ms

80×

valid

Compiler

Compiled 337 to 194 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (60.6% of total)

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

adjust: 0.0ms (0% of total)

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

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

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	8.619541752805256e-50	1.0707839749767204e-44

Samples

1.0ms

16×

valid

Compiler

Compiled 64 to 38 computations (40.6% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

ival-mult!: 0.0ms (0% of total)

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

derivations57.0ms (1.3%)

Memory

9.4MiB live, 56.0MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 319 to 58 computations (81.8% saved)

preprocess52.0ms (1.2%)

Memory

1.3MiB live, 96.8MiB allocated; 9ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 2 291 to 884 computations (61.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample3.1s (72.2%)

explain145.0ms (3.4%)

preprocess53.0ms (1.3%)

series10.0ms (0.2%)

rewrite57.0ms (1.3%)

eval11.0ms (0.3%)

prune5.0ms (0.1%)

series20.0ms (0.5%)

rewrite69.0ms (1.6%)

eval16.0ms (0.4%)

prune4.0ms (0.1%)

series27.0ms (0.6%)

rewrite190.0ms (4.5%)

eval45.0ms (1.1%)

prune16.0ms (0.4%)

series33.0ms (0.8%)

rewrite167.0ms (4%)

eval72.0ms (1.7%)

prune17.0ms (0.4%)

regimes29.0ms (0.7%)

regimes8.0ms (0.2%)

regimes14.0ms (0.3%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch21.0ms (0.5%)

bsearch13.0ms (0.3%)

bsearch9.0ms (0.2%)

bsearch2.0ms (0%)

derivations57.0ms (1.3%)

preprocess52.0ms (1.2%)

end0.0ms (0%)

Profiling