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

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample1.2s (34%)

Memory

-2.0MiB live, 1 747.2MiB allocated; 419ms collecting garbage

Samples

830.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 557.0ms

ival-mult: 406.0ms (72.9% of total)

ival-div: 50.0ms (9% of total)

ival-sub: 43.0ms (7.7% of total)

ival-add: 40.0ms (7.2% of total)

ival-true: 6.0ms (1.1% of total)

exact: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain146.0ms (4.3%)

Memory

35.3MiB live, 232.6MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
112	-	-	`(/.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)))`
17	-	-	`(-.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	96	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	53
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	96
↳	`(*.f64 x x)`	overflow	60
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	53
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	96
↳	`(*.f64 x x)`	overflow	60
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	17	0
↳	`(*.f64 x x)`	overflow	60
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	53
`/.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	16	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	66
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	16
↳	`(*.f64 x x)`	underflow	58
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	66
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	16
↳	`(*.f64 x x)`	underflow	58

Confusion

	Predicted +	Predicted -
+	112	0
-	0	144

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	112	0	0
-	0	0	144

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	144
1	95
2	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 125 to 31 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 20.0ms (69.6% of total)

ival-div: 3.0ms (10.4% of total)

ival-sub: 2.0ms (7% of total)

ival-add: 2.0ms (7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess76.0ms (2.2%)

Memory

-36.7MiB live, 64.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
1	85	97
2	262	95
3	549	95
4	1080	95
5	1534	95
6	1670	95
7	1676	95
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 y)

(abs x)

Compiler

Compiled 19 to 9 computations (52.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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
▶	56.2%	(/.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)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series10.0ms (0.3%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Counts

9 → 30

Calls

Call 1

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

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

Calls

6 calls:

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

simplify148.0ms (4.4%)

Memory

0.1MiB live, 228.2MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	866
1	381	834
2	1464	794
3	7432	790
0	8228	721

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

Calls

Call 1

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

rewrite45.0ms (1.3%)

Memory

8.1MiB live, 53.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
0	15	51
1	52	51
0	382	47

Stop Event

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

Counts

9 → 110

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

eval18.0ms (0.5%)

Memory: -10.2MiB live, 34.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 572 to 484 computations (89.4% saved)

prune6.0ms (0.2%)

Memory

20.2MiB live, 20.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	166	7	173
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	167	7	174

Accuracy

99.8%

Counts

174 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.7%	(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
	56.2%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
	29.4%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
▶	53.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
▶	43.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
▶	52.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
▶	48.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 336 to 180 computations (46.4% saved)

series38.0ms (1.1%)

Memory

-30.4MiB live, 68.4MiB allocated; 18ms collecting garbage

Counts

27 → 84

Calls

Call 1

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

Outputs
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 -1))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* 1/4 (/ x (pow y 2)))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 -1))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (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 (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (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 (/ (* -8 y) x) #s(hole binary64 (* -8 (/ y x))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 1))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x)))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -4 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (pow x 2))))
#s(approx (/ (- (* x 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 (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (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 (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (* (* -4 y) y) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (* -4 y) #s(hole binary64 (* -4 y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -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 (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))))
#s(approx (/ 1/2 (* y y)) #s(hole binary64 (/ 1/2 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* -8 y) #s(hole binary64 (* -8 y)))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4))))))))
#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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	((+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) x (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) 4 y (* x x) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (* (* -4 y) y) (* -4 y) -4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) 1/2 (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) x) (/ y x)) 1) (/ (* -8 y) x) (* -8 y) -8 (/ y x))
7.0ms	y	@	inf	((+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) x (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) 4 y (* x x) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (* (* -4 y) y) (* -4 y) -4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) 1/2 (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) x) (/ y x)) 1) (/ (* -8 y) x) (* -8 y) -8 (/ y x))
7.0ms	y	@	-inf	((+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) x (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) 4 y (* x x) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (* (* -4 y) y) (* -4 y) -4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) 1/2 (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) x) (/ y x)) 1) (/ (* -8 y) x) (* -8 y) -8 (/ y x))
4.0ms	y	@	0	((+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) x (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) 4 y (* x x) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (* (* -4 y) y) (* -4 y) -4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) 1/2 (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) x) (/ y x)) 1) (/ (* -8 y) x) (* -8 y) -8 (/ y x))
3.0ms	x	@	0	((+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) x (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) 4 y (* x x) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (* (* -4 y) y) (* -4 y) -4 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) 1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) 1/2 (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ (* -8 y) x) (/ y x)) 1) (/ (* -8 y) x) (* -8 y) -8 (/ y x))

simplify260.0ms (7.6%)

Memory

-31.5MiB live, 191.8MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	395	2980
1	1019	2648
2	4173	2623
0	8360	2418

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 -1))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* 1/4 (/ x (pow y 2)))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* 4 (pow y 2))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (+ (* 4 (pow y 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 -1))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (- (* 1/2 (/ (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 (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 (- (* 1/2 (/ (pow x 2) (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 (/ (* -8 y) x) #s(hole binary64 (* -8 (/ y x))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 1))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x)))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -4 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (pow x 2))))
#s(approx (/ (- (* x 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 (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (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 (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (* (* -4 y) y) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (* -4 y) #s(hole binary64 (* -4 y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -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 (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))))
#s(approx (/ 1/2 (* y y)) #s(hole binary64 (/ 1/2 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* -8 y) #s(hole binary64 (* -8 y)))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2))))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4))))))))
#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)))))))

Outputs
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 -1))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(literal -1 binary64))
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#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -128 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (fma.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 5 binary64))) y) y (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 7 binary64)))) #s(literal -64 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* 4 y) #s(hole binary64 (* 4 y)))
#s(approx (* 4 y) (*.f64 #s(literal 4 binary64) y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 y y)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -64 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -4 binary64) (.f64 x x))) (*.f64 y y)))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal 256 binary64) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 y y)))
#s(approx (* (* -4 y) y) #s(hole binary64 (* -4 (pow y 2))))
#s(approx (* (* -4 y) y) (.f64 (.f64 y y) #s(literal -4 binary64)))
#s(approx (* -4 y) #s(hole binary64 (* -4 y)))
#s(approx (* -4 y) (*.f64 #s(literal -4 binary64) y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 (+ 1 (* -8 (/ (pow y 2) (pow x 2))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal 1 binary64)))
#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 (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -8 binary64) (.f64 x x))) (*.f64 y y) #s(literal 1 binary64)))
#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 (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -128 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1/2 (* y y)) (* x x)) -1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))))
#s(approx (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (neg.f64 y) y)) (*.f64 y y)))
#s(approx (/ 1/2 (* y y)) #s(hole binary64 (/ 1/2 (pow y 2))))
#s(approx (/ 1/2 (* y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* y y) (*.f64 y y))
#s(approx (* -8 y) #s(hole binary64 (* -8 y)))
#s(approx (* -8 y) (*.f64 #s(literal -8 binary64) y))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) #s(hole binary64 (- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))))
#s(approx (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 #s(literal 1/4 binary64) x)) (.f64 y y)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (.f64 #s(literal 1/4 binary64) x))) (.f64 y y)))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2))))
#s(approx (/ x (+ (* (* 4 y) y) (* x x))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (.f64 #s(literal 1/4 binary64) x)))) (.f64 y y)))
#s(approx (+ (* (* 4 y) y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* (* 4 y) y) (* x x)) (.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 4 binary64)) y) y))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) #s(hole binary64 (- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 6 binary64))) (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 (.f64 x x) y) (/.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)))))
#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 (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
#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 (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (*.f64 x x) #s(literal -1 binary64))))
#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 (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))))
#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 (+ (* (/ (* -8 y) x) (/ y x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x x))) (.f64 y y)))

rewrite90.0ms (2.6%)

Memory

-2.1MiB live, 148.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	221
0	53	217
1	194	209
0	1429	204

Stop Event

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

Counts

27 → 249

Calls

Call 1

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

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

eval56.0ms (1.6%)

Memory: 29.5MiB live, 217.8MiB allocated; 20ms collecting garbage
Compiler: Compiled 15 935 to 1 363 computations (91.4% saved)

prune49.0ms (1.4%)

Memory

-18.4MiB live, 72.2MiB allocated; 8ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	441	3	444
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	442	9	451

Accuracy

99.8%

Counts

451 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
▶	56.2%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
▶	29.4%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
✓	53.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	43.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
▶	50.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
▶	52.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
✓	52.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	48.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 242 to 128 computations (47.1% saved)

series100.0ms (2.9%)

Memory

19.5MiB live, 115.2MiB allocated; 12ms collecting garbage

Counts

30 → 81

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (pow (* (/ y x) (/ (* -8 y) x)) 2) (* (/ y x) (/ (* -8 y) x)) (/ y x) y x (/ (* -8 y) x) (* -8 y) -8 2 1 (+ (* (/ y x) (/ (* -8 y) x)) -1) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 y) (/ y (* x x))) 1) (/ y (* x x)) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* x x) (* (* y 4) y)) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* y 4) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) -4 (+ (* (* y 4) y) (* x x)))
37.0ms	x	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (pow (* (/ y x) (/ (* -8 y) x)) 2) (* (/ y x) (/ (* -8 y) x)) (/ y x) y x (/ (* -8 y) x) (* -8 y) -8 2 1 (+ (* (/ y x) (/ (* -8 y) x)) -1) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 y) (/ y (* x x))) 1) (/ y (* x x)) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* x x) (* (* y 4) y)) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* y 4) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) -4 (+ (* (* y 4) y) (* x x)))
5.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (pow (* (/ y x) (/ (* -8 y) x)) 2) (* (/ y x) (/ (* -8 y) x)) (/ y x) y x (/ (* -8 y) x) (* -8 y) -8 2 1 (+ (* (/ y x) (/ (* -8 y) x)) -1) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 y) (/ y (* x x))) 1) (/ y (* x x)) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* x x) (* (* y 4) y)) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* y 4) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) -4 (+ (* (* y 4) y) (* x x)))
4.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (pow (* (/ y x) (/ (* -8 y) x)) 2) (* (/ y x) (/ (* -8 y) x)) (/ y x) y x (/ (* -8 y) x) (* -8 y) -8 2 1 (+ (* (/ y x) (/ (* -8 y) x)) -1) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 y) (/ y (* x x))) 1) (/ y (* x x)) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* x x) (* (* y 4) y)) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* y 4) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) -4 (+ (* (* y 4) y) (* x x)))
4.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (pow (* (/ y x) (/ (* -8 y) x)) 2) (* (/ y x) (/ (* -8 y) x)) (/ y x) y x (/ (* -8 y) x) (* -8 y) -8 2 1 (+ (* (/ y x) (/ (* -8 y) x)) -1) -1 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 y) (/ y (* x x))) 1) (/ y (* x x)) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* x x) (* (* y 4) y)) (* (* y 4) y) (* y 4) 4 (+ (* x x) (* (* y 4) y)) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* y 4) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) -4 (+ (* (* y 4) y) (* x x)))

simplify222.0ms (6.5%)

Memory

-15.8MiB live, 219.9MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	2280
1	560	2195
2	2011	2109
0	8648	1947

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 81

Calls

Call 1

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

Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(hole binary64 -1))
#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(hole binary64 (- (* 1/2 (/ (pow x 2) (pow y 2))) 1)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
#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))) (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 x x) #s(literal -1 binary64)))
#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)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x (/.f64 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)))) (fma.f64 (/.f64 (.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))))
#s(approx (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -8 binary64)) y))
#s(approx (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))))
#s(approx (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (fma.f64 (/.f64 (/.f64 y x) x) (*.f64 #s(literal -8 binary64) y) #s(literal 1 binary64)))
#s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(hole binary64 (* 64 (/ (pow y 4) (pow x 4)))))
#s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(hole binary64 (/ (+ (* -1 (pow x 4)) (* 64 (pow y 4))) (pow x 4))))
#s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (pow (* (/ y x) (/ (* -8 y) x)) 2) #s(hole binary64 (* 64 (/ (pow y 4) (pow x 4)))))
#s(approx (pow (* (/ y x) (/ (* -8 y) x)) 2) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (/ y x) (/ (* -8 y) x)) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (* (/ y x) (/ (* -8 y) x)) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -8 binary64)) y))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (/ y x) (/.f64 y x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (/ (* -8 y) x) #s(hole binary64 (* -8 (/ y x))))
#s(approx (/ (* -8 y) x) (*.f64 #s(literal -8 binary64) (/.f64 y x)))
#s(approx (+ (* (/ y x) (/ (* -8 y) x)) -1) #s(hole binary64 (* -8 (/ (pow y 2) (pow x 2)))))
#s(approx (+ (* (/ y x) (/ (* -8 y) x)) -1) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -8 binary64)) y))
#s(approx (+ (* (/ y x) (/ (* -8 y) x)) -1) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2))))
#s(approx (+ (* (/ y x) (/ (* -8 y) x)) -1) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)))
#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) (.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal -8 binary64)) y))
#s(approx (+ (* (* -8 y) (/ y (* x x))) 1) #s(hole binary64 (/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))))
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#s(approx (/ y (* x x)) #s(hole binary64 (/ y (pow x 2))))
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#s(approx (+ (* (* -4 y) y) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))))
#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 (+ (* (* y 4) y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* x x) (* (* y 4) y)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))

rewrite91.0ms (2.7%)

Memory

35.0MiB live, 125.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	267
0	59	292
1	211	220
0	1676	215

Stop Event

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

Counts

30 → 524

Calls

Call 1

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

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

eval72.0ms (2.1%)

Memory: -5.9MiB live, 180.7MiB allocated; 27ms collecting garbage
Compiler: Compiled 22 765 to 1 918 computations (91.6% saved)

prune18.0ms (0.5%)

Memory

-0.4MiB live, 52.9MiB allocated; 14ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	600	3	603
Fresh	0	0	0
Picked	2	2	4
Done	0	5	5
Total	602	10	612

Accuracy

99.8%

Counts

612 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
✓	56.2%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
▶	29.4%	(/.f64 (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
✓	53.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	43.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
✓	50.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
▶	52.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (/.f64 y x) x) y) (.f64 (/.f64 (/.f64 y x) x) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
▶	52.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
✓	52.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	48.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 292 to 155 computations (46.9% saved)

series28.0ms (0.8%)

Memory

-26.4MiB live, 64.1MiB allocated; 14ms collecting garbage

Counts

25 → 74

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
(/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64)))
#s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))
(/.f64 y x)
y
x
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(*.f64 #s(literal -8 binary64) y)
#s(literal -8 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (/.f64 y x) x) y) (.f64 (/.f64 (/.f64 y x) x) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (/.f64 y x) x) y) (.f64 (/.f64 (/.f64 y x) x) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (/.f64 y x) x) y) (*.f64 (/.f64 (/.f64 y x) x) y)) #s(literal -1 binary64))
#s(literal 64 binary64)
(.f64 (.f64 (/.f64 (/.f64 y x) x) y) (*.f64 (/.f64 (/.f64 y x) x) y))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/.f64 (/.f64 y x) x)
(/.f64 (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
(fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y))
(.f64 (.f64 #s(literal -4 binary64) y) y)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
(*.f64 x x)

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) -1 (+ (* (/ y x) (/ (* -8 y) x)) -1) (/ y x) y x (/ (* -8 y) x) (* -8 y) -8 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y))) -1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (+ (* 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y))) -1) 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y)) (* (/ (/ y x) x) y) (/ (/ y x) x) (/ (+ (* x x) (* (* -4 y) y)) (+ (* x x) (* (* y 4) y))) (+ (* x x) (* (* -4 y) y)) (* (* -4 y) y) (* -4 y) -4 (+ (* x x) (* (* y 4) y)) (* x x))
6.0ms	x	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) -1 (+ (* (/ y x) (/ (* -8 y) x)) -1) (/ y x) y x (/ (* -8 y) x) (* -8 y) -8 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y))) -1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (+ (* 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y))) -1) 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y)) (* (/ (/ y x) x) y) (/ (/ y x) x) (/ (+ (* x x) (* (* -4 y) y)) (+ (* x x) (* (* y 4) y))) (+ (* x x) (* (* -4 y) y)) (* (* -4 y) y) (* -4 y) -4 (+ (* x x) (* (* y 4) y)) (* x x))
4.0ms	y	@	inf	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) -1 (+ (* (/ y x) (/ (* -8 y) x)) -1) (/ y x) y x (/ (* -8 y) x) (* -8 y) -8 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y))) -1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (+ (* 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y))) -1) 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y)) (* (/ (/ y x) x) y) (/ (/ y x) x) (/ (+ (* x x) (* (* -4 y) y)) (+ (* x x) (* (* y 4) y))) (+ (* x x) (* (* -4 y) y)) (* (* -4 y) y) (* -4 y) -4 (+ (* x x) (* (* y 4) y)) (* x x))
3.0ms	y	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) -1 (+ (* (/ y x) (/ (* -8 y) x)) -1) (/ y x) y x (/ (* -8 y) x) (* -8 y) -8 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y))) -1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (+ (* 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y))) -1) 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y)) (* (/ (/ y x) x) y) (/ (/ y x) x) (/ (+ (* x x) (* (* -4 y) y)) (+ (* x x) (* (* y 4) y))) (+ (* x x) (* (* -4 y) y)) (* (* -4 y) y) (* -4 y) -4 (+ (* x x) (* (* y 4) y)) (* x x))
3.0ms	x	@	0	((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) -1 (+ (* (/ y x) (/ (* -8 y) x)) -1) (/ y x) y x (/ (* -8 y) x) (* -8 y) -8 (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y))) -1) (+ (* (/ y x) (/ (* -8 y) x)) -1)) (+ (* 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y))) -1) 64 (* (* (/ (/ y x) x) y) (* (/ (/ y x) x) y)) (* (/ (/ y x) x) y) (/ (/ y x) x) (/ (+ (* x x) (* (* -4 y) y)) (+ (* x x) (* (* y 4) y))) (+ (* x x) (* (* -4 y) y)) (* (* -4 y) y) (* -4 y) -4 (+ (* x x) (* (* y 4) y)) (* x x))

simplify147.0ms (4.3%)

Memory

4.4MiB live, 239.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	2259
1	559	2174
2	2127	2082
0	9136	1935

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

Calls

Call 1

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

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

rewrite105.0ms (3.1%)

Memory

3.3MiB live, 107.5MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	291
0	57	267
1	206	219
0	1656	212

Stop Event

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

Counts

25 → 266

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
(/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64)))
#s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))
(/.f64 y x)
y
x
(/.f64 (*.f64 #s(literal -8 binary64) y) x)
(*.f64 #s(literal -8 binary64) y)
#s(literal -8 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (/.f64 y x) x) y) (.f64 (/.f64 (/.f64 y x) x) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (/.f64 y x) x) y) (.f64 (/.f64 (/.f64 y x) x) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (/.f64 y x) x) y) (*.f64 (/.f64 (/.f64 y x) x) y)) #s(literal -1 binary64))
#s(literal 64 binary64)
(.f64 (.f64 (/.f64 (/.f64 y x) x) y) (*.f64 (/.f64 (/.f64 y x) x) y))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/.f64 (/.f64 y x) x)
(/.f64 (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
(fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y))
(.f64 (.f64 #s(literal -4 binary64) y) y)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x))
(*.f64 x x)

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

eval68.0ms (2%)

Memory: 36.9MiB live, 80.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 19 607 to 1 472 computations (92.5% saved)

prune83.0ms (2.4%)

Memory

-34.2MiB live, 62.7MiB allocated; 15ms collecting garbage

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	426	2	428
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	426	12	438

Accuracy

99.8%

Counts

438 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
✓	56.2%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
✓	29.4%	(/.f64 (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
✓	53.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
✓	43.1%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
✓	50.5%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
✓	52.6%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (/.f64 y x) x) y) (.f64 (/.f64 (/.f64 y x) x) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
✓	52.9%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
	50.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (fma.f64 y (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) #s(literal -1 binary64))))
	52.2%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))))
✓	52.0%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
✓	48.3%	#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Compiler

Compiled 891 to 302 computations (66.1% saved)

regimes48.0ms (1.4%)

Memory

5.3MiB live, 51.5MiB allocated; 3ms collecting garbage

Counts

16 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (.f64 #s(literal -8 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y)) #s(approx (+ (* x x) (* (* y 4) y)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) #s(approx (+ ( x x) (* (* y 4) y)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (fma.f64 y (/.f64 (.f64 #s(literal -8 binary64) y) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.f64 x x)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
(/.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)))
(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal -4 binary64) y) y) (fma.f64 (.f64 #s(literal 4 binary64) y) y (.f64 x x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (/.f64 y x) x) y) (.f64 (/.f64 (/.f64 y x) x) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y x) (/.f64 (.f64 #s(literal -8 binary64) y) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -8 binary64) y) x) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 #s(approx (- (pow (* (/ y x) (/ (* -8 y) x)) 2) 1) #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))))

Outputs

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

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

Calls

5 calls:

30.0ms	(*.f64 x x)
5.0ms	y
5.0ms	x
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
3.0ms	(/.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
80.3%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
85.2%	3	`(*.f64 x x)`
80.7%	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)))`
85.2%	3	`x`
80.3%	3	`y`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes8.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

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

Calls

3 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
80.0%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
77.6%	2	`(*.f64 x x)`
77.6%	2	`x`

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes2.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB 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 (.f64 #s(literal -8 binary64) y) (/.f64 y (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) y)) #s(approx (+ (* x x) (* (* y 4) y)) (*.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

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
79.2%	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)))`

Compiler

Compiled 19 to 9 computations (52.6% saved)

regimes30.0ms (0.9%)

Memory

-23.2MiB live, 21.2MiB allocated; 4ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
1.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
48.3%	1	`(*.f64 x x)`
48.3%	1	`x`
48.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
48.3%	1	`y`
48.3%	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)))`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch40.0ms (1.2%)

Memory

-10.1MiB live, 33.4MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.309401400548127e+150	2.1671751098177374e+151
5.0ms	1.1755786961990627e-147	1.6196036808994786e-147

Samples

4.0ms

80×

valid

Compiler

Compiled 230 to 139 computations (39.6% saved)

Precisions

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

ival-mult: 1.0ms (36.9% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999470626	0.5239437731639849

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999470626	0.5239437731639849

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify61.0ms (1.8%)

Memory

7.9MiB live, 64.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	234
1	63	234
2	127	234
3	255	234
4	488	234
5	874	234
6	3312	234
7	6486	234

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 8781879726948319/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 x #s(literal 10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.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))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))))
(if (<=.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))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.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))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

Outputs
(if (<=.f64 x #s(literal 8781879726948319/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) (if (<=.f64 x #s(literal 10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) y (.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))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))))
(if (<=.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))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64))))
(if (<=.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))) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

derivations127.0ms (3.8%)

Memory

-11.9MiB live, 125.7MiB allocated; 9ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 234 to 42 computations (82.1% saved)

preprocess47.0ms (1.4%)

Memory: 29.5MiB live, 125.7MiB allocated; 11ms collecting garbage
Remove: (abs y)
Compiler: Compiled 1 124 to 340 computations (69.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.2s (34%)

explain146.0ms (4.3%)

preprocess76.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series10.0ms (0.3%)

simplify148.0ms (4.4%)

rewrite45.0ms (1.3%)

eval18.0ms (0.5%)

prune6.0ms (0.2%)

series38.0ms (1.1%)

simplify260.0ms (7.6%)

rewrite90.0ms (2.6%)

eval56.0ms (1.6%)

prune49.0ms (1.4%)

series100.0ms (2.9%)

simplify222.0ms (6.5%)

rewrite91.0ms (2.7%)

eval72.0ms (2.1%)

prune18.0ms (0.5%)

series28.0ms (0.8%)

simplify147.0ms (4.3%)

rewrite105.0ms (3.1%)

eval68.0ms (2%)

prune83.0ms (2.4%)

regimes48.0ms (1.4%)

regimes8.0ms (0.2%)

regimes2.0ms (0.1%)

regimes30.0ms (0.9%)

bsearch40.0ms (1.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify61.0ms (1.8%)

derivations127.0ms (3.8%)

preprocess47.0ms (1.4%)

end0.0ms (0%)

Profiling