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

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB 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)

sample686.0ms (27.8%)

Memory

49.8MiB live, 786.6MiB allocated; 176ms collecting garbage

Samples

409.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-mult!: 166.0ms (70.4% of total)

ival-div!: 36.0ms (15.3% of total)

ival-sub!: 17.0ms (7.2% of total)

ival-add!: 15.0ms (6.4% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

explain144.0ms (5.8%)

Memory

-23.0MiB live, 193.7MiB allocated; 52ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
135	-	-	`(/.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)))`
20	-	-	`(-.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	118	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	67
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	118
↳	`(*.f64 x x)`	overflow	71
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	67
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	118
↳	`(*.f64 x x)`	overflow	71
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	20	0
↳	`(*.f64 x x)`	overflow	71
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	67
`/.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	17	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	66
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	17
↳	`(*.f64 x x)`	underflow	61
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	66
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	17
↳	`(*.f64 x x)`	underflow	61

Confusion

	Predicted +	Predicted -
+	135	0
-	0	121

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	0	0	121

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	121
1	115
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

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 (61.3% of total)

ival-div!: 2.0ms (17.5% of total)

ival-sub!: 1.0ms (8.8% of total)

ival-add!: 1.0ms (8.8% of total)

adjust: 0.0ms (0% of total)

preprocess42.0ms (1.7%)

Memory

-3.7MiB live, 41.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x)

(abs y)

Compiler

Compiled 19 to 9 computations (52.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(/.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)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series10.0ms (0.4%)

Memory

14.3MiB live, 14.3MiB 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)))

rewrite107.0ms (4.3%)

Memory

-24.2MiB live, 68.9MiB allocated; 15ms 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)))

eval7.0ms (0.3%)

Memory: 13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 321 to 279 computations (88% saved)

prune4.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

99.6%

Counts

91 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(/.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)))
▶	23.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (/.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))))
▶	44.9%	#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)))
▶	50.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	50.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 250 to 126 computations (49.6% saved)

series26.0ms (1.1%)

Memory

-5.9MiB live, 40.4MiB allocated; 3ms collecting garbage

Counts

26 → 84

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))
#s(literal -8 binary64)
(/.f64 (.f64 y y) (.f64 x x))
(*.f64 y y)
y
(*.f64 x x)
x
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))
(*.f64 #s(literal 4 binary64) y)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (/.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 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 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 4 binary64) y) y) (.f64 (*.f64 #s(literal 4 binary64) y) y)))
(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 #s(literal 4 binary64) y) y)
(-.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) 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 (/ (* y y) (* x x)) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) 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) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (- (* x x) (* (* 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 (+ (* (* 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) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) #s(hole binary64 (* -16 (pow y 4))))
#s(approx (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) #s(hole binary64 (- (pow x 4) (* 16 (pow y 4)))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (- (* x x) (* (* 4 y) y)) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (- (* x x) (* (* 4 y) y)) #s(hole binary64 (- (pow x 2) (* 4 (pow y 2)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 1))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) 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) (* (* y 4) y)) (+ (* (* 4 y) 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) (* (* y 4) y)) (+ (* (* 4 y) 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) (* (* 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 (+ (* (* 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 (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 (- (+ 1 (+ (* -8 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (* -16 (/ (pow y 4) (pow x 4))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 (- (+ 1 (+ (* -128 (/ (pow y 6) (pow x 6))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (* -16 (/ (pow y 4) (pow x 4))))))
#s(approx (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) #s(hole binary64 (* (pow x 4) (+ 1 (* -16 (/ (pow y 4) (pow x 4)))))))
#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)) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (/ (- (* x x) (* (* y 4) 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) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (* x x) (* (* y 4) y)) #s(hole binary64 (+ (* -4 (pow y 2)) (pow x 2))))
#s(approx (* (* y 4) y) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) #s(hole binary64 (+ (* -16 (pow y 4)) (pow x 4))))
#s(approx (* (* (* 4 y) y) (* (* 4 y) y)) #s(hole binary64 (* 16 (pow y 4))))
#s(approx (* (* 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 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))))
#s(approx (+ (* -8 (/ (* y y) (* x x))) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* (* 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) (* (* y 4) y)) (+ (* (* 4 y) 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) (* (* y 4) y)) (+ (* (* 4 y) 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) (* (* y 4) y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 (- (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow y 4)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) #s(hole binary64 (- (+ (* -1/16 (/ (pow x 4) (pow y 4))) (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))) (+ 1 (* 1/16 (/ (pow x 4) (pow y 4)))))))
#s(approx (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))
#s(approx (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 16))))
#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
6.0ms	x	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) -8 (/ (* y y) (* x x)) (* y y) y (* x x) x (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* (* 4 y) y) (* x x)) (* 4 y) (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y)) (* (* 4 y) y) (- (* x x) (* (* 4 y) y)))
4.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) -8 (/ (* y y) (* x x)) (* y y) y (* x x) x (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* (* 4 y) y) (* x x)) (* 4 y) (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y)) (* (* 4 y) y) (- (* x x) (* (* 4 y) y)))
4.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) -8 (/ (* y y) (* x x)) (* y y) y (* x x) x (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* (* 4 y) y) (* x x)) (* 4 y) (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y)) (* (* 4 y) y) (- (* x x) (* (* 4 y) y)))
3.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) -8 (/ (* y y) (* x x)) (* y y) y (* x x) x (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* (* 4 y) y) (* x x)) (* 4 y) (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y)) (* (* 4 y) y) (- (* x x) (* (* 4 y) y)))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (/ (* y y) (* x x))) 1) -8 (/ (* y y) (* x x)) (* y y) y (* x x) x (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* (* 4 y) y) (* x x)) (* 4 y) (/ (- (* x x) (* (* y 4) y)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y)) (* (* 4 y) y) (- (* x x) (* (* 4 y) y)))

rewrite248.0ms (10%)

Memory

-3.7MiB live, 219.5MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	3152
0	310	2630
1	1429	2542
0	8329	2414

Stop Event

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

Counts

110 → 430

Calls

Call 1

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

eval51.0ms (2%)

Memory: -0.1MiB live, 97.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 16 475 to 1 405 computations (91.5% saved)

prune10.0ms (0.4%)

Memory

36.2MiB live, 36.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	458	5	463
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	460	8	468

Accuracy

100.0%

Counts

468 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
▶	23.9%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.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))) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))))
▶	50.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (-.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))))
✓	44.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
▶	51.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
▶	25.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
✓	50.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	50.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 396 to 196 computations (50.5% saved)

series38.0ms (1.5%)

Memory

-19.5MiB live, 71.4MiB allocated; 7ms collecting garbage

Counts

34 → 134

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (* (/ y x) (/ y x))) 1) -8 (* (/ y x) (/ y x)) (/ y x) y x 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (* y y) -8) (* x x)) (* x x)) (+ (* (* y y) -8) (* x x)) (* y y) (* x x) (/ (+ (* (* y y) -4) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* y y) -4) (* x x)) -4 (+ (* (* 4 y) y) (* x x)) (* 4 y) 4 (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y)) (* (* 4 y) y) (- (* x x) (* (* 4 y) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (+ (* -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) (pow (/ y x) 2) 2 (* (pow (/ y x) 2) 4))
7.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (* (/ y x) (/ y x))) 1) -8 (* (/ y x) (/ y x)) (/ y x) y x 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (* y y) -8) (* x x)) (* x x)) (+ (* (* y y) -8) (* x x)) (* y y) (* x x) (/ (+ (* (* y y) -4) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* y y) -4) (* x x)) -4 (+ (* (* 4 y) y) (* x x)) (* 4 y) 4 (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y)) (* (* 4 y) y) (- (* x x) (* (* 4 y) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (+ (* -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) (pow (/ y x) 2) 2 (* (pow (/ y x) 2) 4))
7.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (* (/ y x) (/ y x))) 1) -8 (* (/ y x) (/ y x)) (/ y x) y x 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (* y y) -8) (* x x)) (* x x)) (+ (* (* y y) -8) (* x x)) (* y y) (* x x) (/ (+ (* (* y y) -4) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* y y) -4) (* x x)) -4 (+ (* (* 4 y) y) (* x x)) (* 4 y) 4 (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y)) (* (* 4 y) y) (- (* x x) (* (* 4 y) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (+ (* -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) (pow (/ y x) 2) 2 (* (pow (/ y x) 2) 4))
5.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (* (/ y x) (/ y x))) 1) -8 (* (/ y x) (/ y x)) (/ y x) y x 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (* y y) -8) (* x x)) (* x x)) (+ (* (* y y) -8) (* x x)) (* y y) (* x x) (/ (+ (* (* y y) -4) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* y y) -4) (* x x)) -4 (+ (* (* 4 y) y) (* x x)) (* 4 y) 4 (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y)) (* (* 4 y) y) (- (* x x) (* (* 4 y) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (+ (* -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) (pow (/ y x) 2) 2 (* (pow (/ y x) 2) 4))
4.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* -8 (* (/ y x) (/ y x))) 1) -8 (* (/ y x) (/ y x)) (/ y x) y x 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (* y y) -8) (* x x)) (* x x)) (+ (* (* y y) -8) (* x x)) (* y y) (* x x) (/ (+ (* (* y y) -4) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* y y) -4) (* x x)) -4 (+ (* (* 4 y) y) (* x x)) (* 4 y) 4 (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y))) (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y)) (* (* 4 y) y) (- (* x x) (* (* 4 y) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (+ (* -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) (pow (/ y x) 2) 2 (* (pow (/ y x) 2) 4))

rewrite259.0ms (10.5%)

Memory

8.9MiB live, 296.1MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	401	5205
0	455	4273
1	2110	4180
0	9596	4073

Stop Event

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

Counts

168 → 729

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)))
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eval108.0ms (4.4%)

Memory: 23.7MiB live, 209.3MiB allocated; 41ms collecting garbage
Compiler: Compiled 34 498 to 2 699 computations (92.2% saved)

prune25.0ms (1%)

Memory

-21.2MiB live, 71.1MiB allocated; 10ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	802	2	804
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	803	9	812

Accuracy

100.0%

Counts

812 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.3%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
✓	23.9%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.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))) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))))
▶	50.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (-.f64 #s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 32 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
✓	44.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
✓	51.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
✓	25.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
✓	50.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	50.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
▶	50.5%	#s(approx (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -128 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 16 binary64) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))) (.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -16 binary64)))))

Compiler

Compiled 320 to 165 computations (48.4% saved)

series42.0ms (1.7%)

Memory

7.3MiB live, 105.2MiB allocated; 16ms collecting garbage

Counts

30 → 109

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	y	@	inf	((/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (+ 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16))) 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16)) (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (pow (/ y x) 6) (/ y x) y x 6 -128 (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8)) (pow (/ y x) 4) 4 16 (* (pow (/ y x) 2) -8) (pow (/ y x) 2) 2 -8 (* (pow (/ y x) 4) -16) -16 (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 32 (* (pow (/ y x) 2) -4) -4 (* (pow (/ y x) 2) 4))
8.0ms	x	@	-inf	((/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (+ 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16))) 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16)) (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (pow (/ y x) 6) (/ y x) y x 6 -128 (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8)) (pow (/ y x) 4) 4 16 (* (pow (/ y x) 2) -8) (pow (/ y x) 2) 2 -8 (* (pow (/ y x) 4) -16) -16 (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 32 (* (pow (/ y x) 2) -4) -4 (* (pow (/ y x) 2) 4))
6.0ms	y	@	-inf	((/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (+ 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16))) 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16)) (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (pow (/ y x) 6) (/ y x) y x 6 -128 (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8)) (pow (/ y x) 4) 4 16 (* (pow (/ y x) 2) -8) (pow (/ y x) 2) 2 -8 (* (pow (/ y x) 4) -16) -16 (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 32 (* (pow (/ y x) 2) -4) -4 (* (pow (/ y x) 2) 4))
5.0ms	x	@	0	((/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (+ 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16))) 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16)) (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (pow (/ y x) 6) (/ y x) y x 6 -128 (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8)) (pow (/ y x) 4) 4 16 (* (pow (/ y x) 2) -8) (pow (/ y x) 2) 2 -8 (* (pow (/ y x) 4) -16) -16 (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 32 (* (pow (/ y x) 2) -4) -4 (* (pow (/ y x) 2) 4))
5.0ms	y	@	0	((/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (+ 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16))) 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16)) (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (pow (/ y x) 6) (/ y x) y x 6 -128 (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8)) (pow (/ y x) 4) 4 16 (* (pow (/ y x) 2) -8) (pow (/ y x) 2) 2 -8 (* (pow (/ y x) 4) -16) -16 (/ (- (* x x) (* (* y 4) y)) (+ (* (* 4 y) y) (* x x))) (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 32 (* (pow (/ y x) 2) -4) -4 (* (pow (/ y x) 2) 4))

rewrite251.0ms (10.2%)

Memory

-1.6MiB live, 241.7MiB allocated; 163ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	5258
0	450	4930
1	2319	4788
0	8344	4268

Stop Event

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

Counts

139 → 265

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (+.f64 (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))))
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(/.f64 (fma.f64 #s(literal 2 binary64) (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 #s(literal -16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -128 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 #s(literal -16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -128 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -128 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))) (.f64 #s(literal -16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -128 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))) #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -4096 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -128 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -128 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))) (.f64 #s(literal -16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -128 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))))) (.f64 #s(literal -16 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(+.f64 (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
#s(literal 1 binary64)
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#s(approx (+ 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16))) (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) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16)) (.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(approx (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16)) (.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(approx (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 y y)))
#s(approx (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 16 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(approx y y)
#s(approx (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8)) (.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 y y)))
#s(approx (/ (- (* x x) (* (* y 4) 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) (* (* y 4) 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) (* (* y 4) 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 (- (+ (* -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) 4) 32) (* (pow (/ y x) 2) -4)) 1) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 y y)))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 y y)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
#s(approx (+ 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16))) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 32 binary64) (*.f64 #s(literal -128 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16))) (.f64 (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64)) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 128 binary64) (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ 1 (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16))) (.f64 (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 32 binary64) (pow.f64 y #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 32 binary64) (*.f64 #s(literal -128 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (- (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (* (pow (/ y x) 4) -16)) (.f64 (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64)) (.f64 y y)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 128 binary64) (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 16 binary64) (*.f64 #s(literal -128 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (.f64 (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 16 binary64) (.f64 #s(literal -128 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))))
#s(approx (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8)) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 16 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) 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) (* (* y 4) y)) (+ (* (* 4 y) 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) (.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)) (+ (* (* 4 y) y) (* x x))) (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 (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (* (pow (/ y x) 2) 4)) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (pow.f64 y #s(literal -4 binary64))) (.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* -4 (+ (* (* (pow (/ y x) 2) -8) (pow (/ y x) 2)) (pow (/ y x) 2))) 1) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (pow.f64 y #s(literal -4 binary64))) (.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) 1) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (pow.f64 y #s(literal -4 binary64))) (.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (pow (/ y x) 4) 32) (* (pow (/ y x) 2) -4)) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 32 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) (pow.f64 y #s(literal 4 binary64))))

eval112.0ms (4.5%)

Memory

-21.5MiB live, 123.2MiB allocated; 33ms collecting garbage

Samples

16.0ms	310×	0	valid
11.0ms	202×	0	invalid

Compiler

Compiled 29 720 to 1 828 computations (93.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult!: 9.0ms (72.6% of total)

ival-add!: 3.0ms (24.2% of total)

adjust: 0.0ms (0% of total)

prune56.0ms (2.3%)

Memory

22.7MiB live, 108.7MiB allocated; 17ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

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

Accuracy

100.0%

Counts

396 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.3%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
✓	23.9%	(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.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))) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) y))))
✓	44.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)))
✓	51.8%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)))
✓	25.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal -8 binary64) (.f64 x x)) (*.f64 x x)))
✓	50.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	50.4%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
	50.5%	#s(approx (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (+.f64 (vcubic.f64 #s(literal -128 binary64) #s(literal 16 binary64) #s(literal -8 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -16 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
	50.1%	#s(approx (/ (+ (* (* y y) -4) (* x x)) (/ (- (pow x 4) (* (* (* 4 y) y) (* (* 4 y) y))) (- (* x x) (* (* 4 y) y)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (* (pow (/ y x) 6) -128) (+ (* (pow (/ y x) 4) 16) (* (pow (/ y x) 2) -8))) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -16 binary64)))))

Samples

25.0ms	310×	0	valid
11.0ms	202×	0	invalid

Compiler

Compiled 890 to 283 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult!: 9.0ms (73.3% of total)

ival-add!: 3.0ms (24.4% of total)

adjust: 0.0ms (0% of total)

regimes28.0ms (1.1%)

Memory

-12.8MiB live, 47.8MiB allocated; 13ms collecting garbage

Counts

15 → 4

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
4.0ms	y
4.0ms	x
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
83.5%	4	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
80.8%	3	`(*.f64 x x)`
74.7%	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)))`
80.8%	3	`x`
83.5%	4	`y`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes8.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
78.4%	2	`(*.f64 x x)`
78.4%	2	`x`
74.8%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
74.8%	2	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes6.0ms (0.2%)

Memory

-35.2MiB live, 10.6MiB allocated; 2ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
77.9%	2	`(*.f64 x x)`
77.9%	2	`x`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB 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	(.f64 (.f64 y #s(literal 4 binary64)) y)
1.0ms	x
1.0ms	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
50.4%	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)))`
50.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
50.4%	1	`y`
50.4%	1	`(*.f64 x x)`
50.4%	1	`x`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch36.0ms (1.5%)

Memory

20.0MiB live, 66.2MiB allocated; 3ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	1.3838343548032928e+40	4.366518585891966e+41
14.0ms	1232747150.3092113	8.948261735833326e+20
10.0ms	1.3731096379130097e-140	4.290661853782272e-138

Samples

18.0ms

400×

valid

Compiler

Compiled 1 072 to 628 computations (41.4% saved)

Precisions

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

ival-mult!: 5.0ms (60.1% of total)

ival-div!: 2.0ms (24.1% of total)

ival-sub!: 1.0ms (12% of total)

ival-add!: 1.0ms (12% of total)

adjust: 0.0ms (0% of total)

bsearch16.0ms (0.6%)

Memory

-21.0MiB live, 24.6MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.078718969012562e-41	6.670773114365668e-36

Samples

6.0ms

144×

valid

Compiler

Compiled 481 to 266 computations (44.7% saved)

Precisions

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

ival-mult!: 2.0ms (67.6% of total)

ival-div!: 1.0ms (33.8% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	7.078718969012562e-41	6.670773114365668e-36

Compiler

Compiled 232 to 134 computations (42.2% saved)

simplify60.0ms (2.4%)

Memory

4.6MiB live, 52.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	223
1	57	223
2	110	223
3	229	223
4	461	223
5	847	223
6	3122	223
7	6316	223

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 8111723797615271/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 880000000000000000000 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (if (<=.f64 y #s(literal 15999999999999999035346661945650857377792 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 2329393222116151/6129982163463555433433388108601236734474956488734408704 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 x) (/.f64 y x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 y #s(literal 8111723797615271/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal -8 binary64) (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 880000000000000000000 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (if (<=.f64 y #s(literal 15999999999999999035346661945650857377792 binary64)) #s(approx (/ (- ( x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 2329393222116151/6129982163463555433433388108601236734474956488734408704 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 x) (/.f64 y x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

derivations51.0ms (2.1%)

Memory

31.9MiB live, 79.3MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 223 to 41 computations (81.6% saved)

preprocess31.0ms (1.2%)

Memory: -40.0MiB live, 52.8MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 090 to 310 computations (71.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample686.0ms (27.8%)

explain144.0ms (5.8%)

preprocess42.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series10.0ms (0.4%)

rewrite107.0ms (4.3%)

eval7.0ms (0.3%)

prune4.0ms (0.2%)

series26.0ms (1.1%)

rewrite248.0ms (10%)

eval51.0ms (2%)

prune10.0ms (0.4%)

series38.0ms (1.5%)

rewrite259.0ms (10.5%)

eval108.0ms (4.4%)

prune25.0ms (1%)

series42.0ms (1.7%)

rewrite251.0ms (10.2%)

eval112.0ms (4.5%)

prune56.0ms (2.3%)

regimes28.0ms (1.1%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch36.0ms (1.5%)

bsearch16.0ms (0.6%)

bsearch1.0ms (0%)

simplify60.0ms (2.4%)

derivations51.0ms (2.1%)

preprocess31.0ms (1.2%)

end0.0ms (0%)

Profiling