Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

start0.0ms (0%)

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

analyze20.0ms (0.7%)

Memory

18.5MiB live, 18.5MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample831.0ms (28.5%)

Memory

20.3MiB live, 817.0MiB allocated; 159ms collecting garbage

Samples

547.0ms	8 251×	0	valid
1.0ms	4×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-div!: 130.0ms (48.4% of total)

ival-mult!: 72.0ms (26.8% of total)

ival-add!: 47.0ms (17.5% of total)

ival-sub!: 18.0ms (6.7% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain191.0ms (6.5%)

Memory

-7.0MiB live, 142.4MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
33	-	-	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
1	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`	o/n	1	0
↳	`(*.f64 x y)`	overflow	34

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

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

ival-div!: 5.0ms (47.2% of total)

ival-mult!: 3.0ms (28.3% of total)

ival-sub!: 1.0ms (9.4% of total)

ival-add!: 1.0ms (9.4% of total)

adjust: 0.0ms (0% of total)

preprocess262.0ms (9%)

Memory

3.1MiB live, 233.1MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	76
1	49	72
2	72	70
3	153	70
4	370	70
5	1550	70
6	7339	70
0	9	11
0	14	11
1	21	11
2	31	11
3	68	11
4	206	11
5	1096	11
6	6736	11
0	8551	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% 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

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

series57.0ms (2%)

Memory

-43.7MiB live, 62.7MiB allocated; 11ms collecting garbage

Counts

9 → 50

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 1))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
22.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
2.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
2.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
1.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)

rewrite350.0ms (12%)

Memory

-0.2MiB live, 240.5MiB allocated; 175ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	1373
0	297	1253
1	1792	1251
0	8480	1158

Stop Event

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

Counts

59 → 90

Calls

Call 1

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

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

eval11.0ms (0.4%)

Memory: 22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 061 to 441 computations (78.6% saved)

prune7.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Accuracy

100.0%

Counts

94 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.3%	(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (/.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 x (/.f64 y (/.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal 2 binary64)))))
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
	61.3%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
	61.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)))
▶	69.6%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
▶	58.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x))
	24.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	63.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 312 to 226 computations (27.6% saved)

series19.0ms (0.6%)

Memory

-25.7MiB live, 21.8MiB allocated; 3ms collecting garbage

Counts

25 → 82

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 1))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 (+ 1 (* -1/2 (* x y)))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (/ -2 x)))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (/ (- (pow x 2) 2) x)))
#s(approx (- 1 (* (pow x -2) 2)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- 1 (* (pow x -2) 2)) #s(hole binary64 (/ (- (pow x 2) 2) (pow x 2))))
#s(approx (* (pow x -2) 2) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (* -1/2 (* x (pow y 2)))))
#s(approx (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (* x (+ (* -1/2 (pow y 2)) (/ y x)))))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 (* -1/2 (* x y))))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 (* x (+ (* -1/2 y) (/ 1 x)))))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- 1 (* (pow x -2) 2)) #s(hole binary64 1))
#s(approx (- 1 (* (pow x -2) 2)) #s(hole binary64 (- 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 y) (/ 1 x))))))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 (* y (+ (* -1/2 x) (/ 1 y)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 (* -1 (* y (- (* 1/2 x) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (- 1 (* (pow x -2) 2)) (* (pow x -2) 2) (pow x -2) -2 2)
3.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (- 1 (* (pow x -2) 2)) (* (pow x -2) 2) (pow x -2) -2 2)
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (- 1 (* (pow x -2) 2)) (* (pow x -2) 2) (pow x -2) -2 2)
2.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (- 1 (* (pow x -2) 2)) (* (pow x -2) 2) (pow x -2) -2 2)
2.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (- 1 (* (pow x -2) 2)) (* (pow x -2) 2) (pow x -2) -2 2)

rewrite244.0ms (8.4%)

Memory

-11.9MiB live, 237.4MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	2022
0	386	1866
1	2104	1862
0	9602	1763

Stop Event

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

Counts

107 → 252

Calls

Call 1

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

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

eval32.0ms (1.1%)

Memory: 21.6MiB live, 65.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 657 to 1 187 computations (84.5% saved)

prune12.0ms (0.4%)

Memory

-20.7MiB live, 25.3MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	260	3	263
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	263	9	272

Accuracy

100.0%

Counts

272 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.3%	(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 x (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
▶	61.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)))
✓	69.6%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
▶	24.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	40.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)))
▶	14.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 #s(literal -2 binary64) x)))
✓	63.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 312 to 209 computations (33% saved)

series28.0ms (1%)

Memory

7.3MiB live, 50.0MiB allocated; 6ms collecting garbage

Counts

27 → 150

Calls

Call 1

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

Outputs
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 y)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (+ (* x (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (/ 1 y))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (+ (* x (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (+ (* x (- (+ (* -1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4)))) (* -1/4 (pow y 4))) (+ (* 1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2))))))) (/ (* (- 1 (* 1/2 (pow y 2))) (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (/ 1 y))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) y))))) (/ 1 y)))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (pow y 3)) (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (+ (* 1/4 (pow y 4)) (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5)))))))) (pow y 3))) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (pow y 2)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* -1 (* x (pow y 3))) (pow y 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5))))) (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 1))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 y))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- 1 (* 1/2 (pow y 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- (+ 1 (* 1/4 (* x (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- (+ 1 (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3))))) (* 1/2 (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (/ -2 x)))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (/ (- (pow x 2) 2) x)))
#s(approx (/ -2 x) #s(hole binary64 (/ -2 x)))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (- (* x x) 2) x) #s(hole binary64 (/ -2 x)))
#s(approx (/ (- (* x x) 2) x) #s(hole binary64 (/ (- (pow x 2) 2) x)))
#s(approx (- (* x x) 2) #s(hole binary64 -2))
#s(approx (- (* x x) 2) #s(hole binary64 (- (pow x 2) 2)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 x))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (* 16 (/ 1 (* (pow x 5) y)))) (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ 4 (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- (+ 4 (/ 48 (* (pow x 2) (pow y 2)))) (/ 16 (* x y))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y)))) (pow x 2))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 (pow x 2)))) (/ 4 (* (pow x 3) y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 3) y)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 2) x) #s(hole binary64 x))
#s(approx (/ (- (* x x) 2) x) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 2) #s(hole binary64 (* (pow x 2) (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) (pow x 5)))) (* 4 (/ 1 (pow x 4)))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (+ 4 (* -1 (/ (- (* 16 (/ 1 y)) (* 48 (/ 1 (* x (pow y 2))))) x))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow y 2))) (* 128 (/ 1 (* x (pow y 3))))) x)) (* 16 (/ 1 y))) x))) (pow x 2))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (/ 4 (* (pow x 3) y)) (+ 1 (* 2 (/ 1 (pow x 2)))))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) (pow x 3))) (+ 1 (* 2 (/ 1 (pow x 2)))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (/ (- (* x x) 2) x) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* (pow y 2) (- (* x y) 1)) (pow x 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))) 1)) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* -1 (* x y))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x y)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (+ 1 (* -1/2 (* x y)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (+ x (* 2 (/ 1 x))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (pow y 2))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (+ (/ 128 (* (pow x 5) (* (pow y 3) (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 4 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 3) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 48 (/ 1 (* (pow x 4) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) y)) (pow x 2)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (+ (/ 16 (* (pow x 3) y)) (pow x 2))) (+ (* 4 (/ 1 (pow x 2))) (* 48 (/ 1 (* (pow x 4) (pow y 2))))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (* (pow x 3) y))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))) (/ 16 (* (pow x 3) y)))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* 2 (/ 1 x)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 2 (/ 1 x))) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (/ 4 (* (pow x 2) y)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* -1 (/ (- (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 48 (* (pow x 4) (* y (+ x (* 2 (/ 1 x)))))))) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 3) (* y (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 128 (* (pow x 5) (* y (+ x (* 2 (/ 1 x))))))))) (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x))))))))) y)) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* -1 (/ (- (* 16 (/ 1 (pow x 3))) (* 48 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow x 4))) (* 128 (/ 1 (* (pow x 5) y)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (* x x) x (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 2 (+ x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (/ -2 x) -2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (/ (- (* x x) 2) x) (- (* x x) 2))
5.0ms	x	@	-inf	((/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (* x x) x (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 2 (+ x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (/ -2 x) -2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (/ (- (* x x) 2) x) (- (* x x) 2))
5.0ms	y	@	inf	((/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (* x x) x (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 2 (+ x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (/ -2 x) -2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (/ (- (* x x) 2) x) (- (* x x) 2))
4.0ms	x	@	0	((/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (* x x) x (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 2 (+ x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (/ -2 x) -2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (/ (- (* x x) 2) x) (- (* x x) 2))
3.0ms	x	@	inf	((/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (* x x) x (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 2 (+ x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (/ -2 x) -2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (- 1 (* (pow x -2) 2)) x) (/ (- (* x x) 2) x) (- (* x x) 2))

rewrite243.0ms (8.3%)

Memory

-11.5MiB live, 280.7MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	801	6293
0	816	5287
1	5314	5287
0	8282	4967

Stop Event

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

Counts

177 → 243

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 x (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))))
(-.f64 (.f64 x x) (pow.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 x x)
x
(pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
y
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 #s(literal -2 binary64) x)))
#s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)
(-.f64 (*.f64 x x) #s(literal 2 binary64))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 y)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (+ (* x (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (/ 1 y))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (+ (* x (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (+ (* x (- (+ (* -1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4)))) (* -1/4 (pow y 4))) (+ (* 1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2))))))) (/ (* (- 1 (* 1/2 (pow y 2))) (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (/ 1 y))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) y))))) (/ 1 y)))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (pow y 3)) (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (+ (* 1/4 (pow y 4)) (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5)))))))) (pow y 3))) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (pow y 2)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* -1 (* x (pow y 3))) (pow y 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5))))) (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 1))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 y))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- 1 (* 1/2 (pow y 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- (+ 1 (* 1/4 (* x (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- (+ 1 (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3))))) (* 1/2 (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (/ -2 x)))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (/ (- (pow x 2) 2) x)))
#s(approx (/ -2 x) #s(hole binary64 (/ -2 x)))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (- (* x x) 2) x) #s(hole binary64 (/ -2 x)))
#s(approx (/ (- (* x x) 2) x) #s(hole binary64 (/ (- (pow x 2) 2) x)))
#s(approx (- (* x x) 2) #s(hole binary64 -2))
#s(approx (- (* x x) 2) #s(hole binary64 (- (pow x 2) 2)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 x))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (* 16 (/ 1 (* (pow x 5) y)))) (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ 4 (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- (+ 4 (/ 48 (* (pow x 2) (pow y 2)))) (/ 16 (* x y))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y)))) (pow x 2))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 (pow x 2)))) (/ 4 (* (pow x 3) y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 3) y)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 2) x) #s(hole binary64 x))
#s(approx (/ (- (* x x) 2) x) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 2) #s(hole binary64 (* (pow x 2) (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) (pow x 5)))) (* 4 (/ 1 (pow x 4)))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (+ 4 (* -1 (/ (- (* 16 (/ 1 y)) (* 48 (/ 1 (* x (pow y 2))))) x))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow y 2))) (* 128 (/ 1 (* x (pow y 3))))) x)) (* 16 (/ 1 y))) x))) (pow x 2))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (/ 4 (* (pow x 3) y)) (+ 1 (* 2 (/ 1 (pow x 2)))))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) (pow x 3))) (+ 1 (* 2 (/ 1 (pow x 2)))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (* (- 1 (* (pow x -2) 2)) x) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (/ (- (* x x) 2) x) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* (pow y 2) (- (* x y) 1)) (pow x 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))) 1)) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* -1 (* x y))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x y)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (+ 1 (* -1/2 (* x y)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (+ x (* 2 (/ 1 x))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (pow y 2))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (+ (/ 128 (* (pow x 5) (* (pow y 3) (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 4 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 3) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 48 (/ 1 (* (pow x 4) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) y)) (pow x 2)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (+ (/ 16 (* (pow x 3) y)) (pow x 2))) (+ (* 4 (/ 1 (pow x 2))) (* 48 (/ 1 (* (pow x 4) (pow y 2))))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (* (pow x 3) y))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))) (/ 16 (* (pow x 3) y)))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
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#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 2 (/ 1 x))) (* 4 (/ 1 (* (pow x 2) y))))))
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#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
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#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/2 binary64))))) x (neg.f64 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))) y))) x (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/2 binary64)))))) x (neg.f64 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64) (neg.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))) y))) y) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))))))))) x (pow.f64 y #s(literal -1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))) y)))) x (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))))) x (neg.f64 y)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (neg.f64 (*.f64 y y)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 y y)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (-.f64 (.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64) #s(literal 1 binary64)) x (pow.f64 y #s(literal 3 binary64))) x) (.f64 y y)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (-.f64 (.f64 (fma.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64) (.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/4 binary64) (.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)))) x)) #s(literal 1 binary64)) x (pow.f64 y #s(literal 3 binary64))) x) (*.f64 y y)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (*.f64 y y))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 y y (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)) x)) (pow.f64 y #s(literal 3 binary64))) x (*.f64 y y)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/4 binary64) (.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)))) x)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64))) x) (pow.f64 y #s(literal 3 binary64))) x (.f64 y y)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) y)
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 y y))) x y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x y))
#s(approx (+ 1 (/ (* x y) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 y) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* 1/2 y) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) y)
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x y))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal 1/2 binary64))) x y))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/2 binary64) (.f64 y y)))) x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) y))
#s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 #s(literal -2 binary64) x))
#s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ -2 x) (/.f64 #s(literal -2 binary64) x))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (* x x) 2) x) (/.f64 #s(literal -2 binary64) x))
#s(approx (/ (- (* x x) 2) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (* x x) 2) #s(literal -2 binary64))
#s(approx (- (* x x) 2) (-.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (*.f64 x x))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 x x)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) y) #s(literal 16 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 x x)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) y) #s(literal 16 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64)))) (.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 #s(literal 4 binary64) (*.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x))) (.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 48 binary64) #s(literal 4 binary64)) (/.f64 #s(literal 16 binary64) (.f64 y x))) (*.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 48 binary64) #s(literal 4 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal -3 binary64)) #s(literal 128 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x)))) (.f64 x x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (.f64 y x))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal -3 binary64)) #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x)))) x))
#s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 y) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (+ (* (* 1/2 y) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) x)
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (+.f64 (+.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y))) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x))
#s(approx (* (- 1 (* (pow x -2) 2)) x) x)
#s(approx (* (- 1 (* (pow x -2) 2)) x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))
#s(approx (/ (- (* x x) 2) x) x)
#s(approx (/ (- (* x x) 2) x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))
#s(approx (- (* x x) 2) (*.f64 x x))
#s(approx (- (* x x) 2) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) x))) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) x)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 48 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 16 binary64) y)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) y) (/.f64 #s(literal 48 binary64) (.f64 (.f64 y y) x))) x) #s(literal -1 binary64) #s(literal 4 binary64)) (*.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 48 binary64)) (/.f64 #s(literal 128 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) x) #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) y)) x) #s(literal -1 binary64) #s(literal 4 binary64)) (*.f64 x x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) #s(literal 2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 8 binary64))) x)) (/.f64 #s(literal 4 binary64) y)) x)) #s(literal 2 binary64)) x)))
#s(approx (+ 1 (/ (* x y) 2)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ (* (* 1/2 y) x) 1) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) x)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) x))) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) x)))
#s(approx (* (- 1 (* (pow x -2) 2)) x) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))
#s(approx (/ (- (* x x) 2) x) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64)) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y (.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)) y x))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 x x (neg.f64 (*.f64 y y))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 (-.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 y y) (*.f64 x x)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) y x) y) #s(literal 1 binary64)) (.f64 y y) (*.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 y x) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (.f64 (fma.f64 (-.f64 (.f64 (neg.f64 y) (.f64 (.f64 x x) #s(literal -3/4 binary64))) x) y #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) x)))) (.f64 (.f64 x x) #s(literal -3/4 binary64))) y) x) y #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y))
#s(approx y y)
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 y x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64)) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y (.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)) y x))
#s(approx (neg y) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y))) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 x x)) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 48 binary64)))) (.f64 y y)) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y))) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 x x)) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) x))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) x))) (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y))) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -16 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 x x)) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal -4 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 48 binary64)))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 y #s(literal 3 binary64))) (.f64 x x))) #s(literal 4 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x))) #s(literal 8 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y) #s(literal 2 binary64))) #s(literal 8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 y y))) #s(literal 48 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 x x (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y) (fma.f64 x x (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (-.f64 (fma.f64 x x (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (fma.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 x x)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 128 binary64) (-.f64 (fma.f64 x x (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (fma.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (-.f64 (fma.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 128 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) y)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) y)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x)) (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) y))))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 y) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 (/.f64 #s(literal 2 binary64) x) x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) y)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x)) x) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) y)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x)) x) (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64) x) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64) x) (fma.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) y)) x) (fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 x x)) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal 4 binary64) (-.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal 8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 48 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y)))) (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64)))) y) #s(literal -1 binary64) (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal -8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 48 binary64)))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 48 binary64))))) y)) (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64)))) y) #s(literal -1 binary64) (/.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) x))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) y) #s(literal 48 binary64) (.f64 #s(literal -16 binary64) (pow.f64 x #s(literal -3 binary64)))) y) #s(literal -1 binary64) (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 128 binary64) (/.f64 (pow.f64 x #s(literal -5 binary64)) y) (.f64 #s(literal -48 binary64) (pow.f64 x #s(literal -4 binary64)))) y) #s(literal -1 binary64) (.f64 #s(literal -16 binary64) (pow.f64 x #s(literal -3 binary64)))) y) #s(literal -1 binary64) (fma.f64 x x (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -48 binary64) (/.f64 (pow.f64 x #s(literal -4 binary64)) y))) y))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 48 binary64) (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal -5 binary64)) y))) y))) y))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (pow.f64 x #s(literal -4 binary64)) y))) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (+ (* (* 1/2 y) x) 1) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (pow.f64 x #s(literal -4 binary64)) y))) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y) (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) y) #s(literal -1 binary64) x) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) y) #s(literal 16 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -3 binary64)))) y) #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) y) #s(literal -1 binary64) x) (/.f64 #s(literal 2 binary64) x)))

eval41.0ms (1.4%)

Memory: 24.8MiB live, 70.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 14 809 to 1 389 computations (90.6% saved)

prune10.0ms (0.3%)

Memory

-20.7MiB live, 25.7MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	327	1	328
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	328	9	337

Accuracy

100.0%

Counts

337 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.2%	(/.f64 (-.f64 (.f64 x x) #s(approx (pow (/ y (+ 1 (/ ( x y) 2))) 2) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (+.f64 x (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
✓	61.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)))
✓	69.6%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	24.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	40.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)))
✓	14.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 #s(literal -2 binary64) x)))
✓	63.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 187 to 132 computations (29.4% saved)

series9.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

15 → 114

Calls

Call 1

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

Outputs
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 y)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (+ (* x (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (/ 1 y))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (+ (* x (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (+ (* x (- (+ (* -1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4)))) (* -1/4 (pow y 4))) (+ (* 1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2))))))) (/ (* (- 1 (* 1/2 (pow y 2))) (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (/ 1 y))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) y))))) (/ 1 y)))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (pow y 3)) (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (+ (* 1/4 (pow y 4)) (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5)))))))) (pow y 3))) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (pow y 2)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* -1 (* x (pow y 3))) (pow y 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5))))) (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (/ 4 (* x x)) #s(hole binary64 (/ 4 (pow x 2))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 y))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- 1 (* 1/2 (pow y 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- (+ 1 (* 1/4 (* x (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- (+ 1 (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3))))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 1))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 x))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (* 16 (/ 1 (* (pow x 5) y)))) (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ 4 (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- (+ 4 (/ 48 (* (pow x 2) (pow y 2)))) (/ 16 (* x y))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y)))) (pow x 2))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 (pow x 2)))) (/ 4 (* (pow x 3) y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 3) y)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) (pow x 5)))) (* 4 (/ 1 (pow x 4)))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (+ 4 (* -1 (/ (- (* 16 (/ 1 y)) (* 48 (/ 1 (* x (pow y 2))))) x))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow y 2))) (* 128 (/ 1 (* x (pow y 3))))) x)) (* 16 (/ 1 y))) x))) (pow x 2))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (/ 4 (* (pow x 3) y)) (+ 1 (* 2 (/ 1 (pow x 2)))))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) (pow x 3))) (+ 1 (* 2 (/ 1 (pow x 2)))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* (pow y 2) (- (* x y) 1)) (pow x 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))) 1)) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* -1 (* x y))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x y)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (+ 1 (* -1/2 (* x y)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (+ x (* 2 (/ 1 x))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (pow y 2))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (+ (/ 128 (* (pow x 5) (* (pow y 3) (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 4 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 3) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 48 (/ 1 (* (pow x 4) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) y)) (pow x 2)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (+ (/ 16 (* (pow x 3) y)) (pow x 2))) (+ (* 4 (/ 1 (pow x 2))) (* 48 (/ 1 (* (pow x 4) (pow y 2))))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (* (pow x 3) y))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))) (/ 16 (* (pow x 3) y)))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* 2 (/ 1 x)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 2 (/ 1 x))) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (/ 4 (* (pow x 2) y)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* -1 (/ (- (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 48 (* (pow x 4) (* y (+ x (* 2 (/ 1 x)))))))) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 3) (* y (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 128 (* (pow x 5) (* y (+ x (* 2 (/ 1 x))))))))) (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x))))))))) y)) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* -1 (/ (- (* 16 (/ 1 (pow x 3))) (* 48 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow x 4))) (* 128 (/ 1 (* (pow x 5) y)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (* x x) x (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/ 4 (* x x)) 4 (+ x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1)
1.0ms	x	@	-inf	((/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (* x x) x (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/ 4 (* x x)) 4 (+ x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1)
1.0ms	x	@	0	((/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (* x x) x (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/ 4 (* x x)) 4 (+ x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1)
1.0ms	y	@	-inf	((/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (* x x) x (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/ 4 (* x x)) 4 (+ x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1)
1.0ms	y	@	inf	((/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (* x x) x (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/ 4 (* x x)) 4 (+ x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1)

rewrite177.0ms (6.1%)

Memory

8.6MiB live, 196.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	702	5307
0	712	4707
1	4749	4707
0	8277	4410

Stop Event

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

Counts

129 → 177

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) #s(approx (pow (/ y (+ 1 (/ ( x y) 2))) 2) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (+.f64 x (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))))
(-.f64 (.f64 x x) #s(approx (pow (/ y (+ 1 (/ ( x y) 2))) 2) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(*.f64 x x)
x
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 #s(literal 4 binary64) (*.f64 x x)))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(+.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
y
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 y)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (+ (* x (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (/ 1 y))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ (* -1 y) (* x (- (+ (* x (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (+ (* x (- (+ (* -1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4)))) (* -1/4 (pow y 4))) (+ (* 1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2))))))) (/ (* (- 1 (* 1/2 (pow y 2))) (- (+ (* -1 (pow y 3)) (+ (* 1/4 (pow y 3)) (/ 1 y))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) y))))) (/ 1 y)))) (+ (* -1/4 (pow y 3)) (/ (* (- 1 (* 1/2 (pow y 2))) (- (pow y 2) (* -1 (- 1 (* 1/2 (pow y 2)))))) y)))) (pow y 2)) (* -1 (- 1 (* 1/2 (pow y 2)))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (pow y 3)) (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (+ (* 1/4 (pow y 4)) (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5)))))))) (pow y 3))) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (pow y 2)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* -1 (* x (pow y 3))) (pow y 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5))))) (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))))
#s(approx (/ 4 (* x x)) #s(hole binary64 (/ 4 (pow x 2))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 y))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- 1 (* 1/2 (pow y 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- (+ 1 (* 1/4 (* x (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ y (* x (- (+ 1 (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3))))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 1))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 x))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (* 16 (/ 1 (* (pow x 5) y)))) (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ 4 (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- (+ 4 (/ 48 (* (pow x 2) (pow y 2)))) (/ 16 (* x y))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (- (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y)))) (pow x 2))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 (pow x 2)))) (/ 4 (* (pow x 3) y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 3) y)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) (pow x 5)))) (* 4 (/ 1 (pow x 4)))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (+ 4 (* -1 (/ (- (* 16 (/ 1 y)) (* 48 (/ 1 (* x (pow y 2))))) x))) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow y 2))) (* 128 (/ 1 (* x (pow y 3))))) x)) (* 16 (/ 1 y))) x))) (pow x 2))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (/ 4 (* (pow x 3) y)) (+ 1 (* 2 (/ 1 (pow x 2)))))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) (pow x 3))) (+ 1 (* 2 (/ 1 (pow x 2)))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* (pow y 2) (- (* x y) 1)) (pow x 2))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (+ (* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))) 1)) (pow x 2))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* -1 (* x y))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (* (pow y 2) (+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x y)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (+ 1 (* -1/2 (* x y)))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (+ x (* 2 (/ 1 x))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
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#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (+ (/ 128 (* (pow x 5) (* (pow y 3) (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* -16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 4 (/ (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))) (* -4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 3) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 48 (/ 1 (* (pow x 4) (* (pow y 2) (+ x (* 2 (/ 1 x))))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (/ 16 (* (pow x 3) y)) (pow x 2)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) #s(hole binary64 (- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (+ (/ 16 (* (pow x 3) y)) (pow x 2))) (+ (* 4 (/ 1 (pow x 2))) (* 48 (/ 1 (* (pow x 4) (pow y 2))))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (* (pow x 3) y))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))) (/ 16 (* (pow x 3) y)))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (- (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* 2 (/ 1 x)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 2 (/ 1 x))) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (/ 4 (* (pow x 2) y)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 16 (* (pow x 3) (* y (+ x (* 2 (/ 1 x)))))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* -1 (/ (- (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 48 (* (pow x 4) (* y (+ x (* 2 (/ 1 x)))))))) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 3) (* y (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x)))))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 128 (* (pow x 5) (* y (+ x (* 2 (/ 1 x))))))))) (+ (* -4 (/ (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x))))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 48 (/ 1 (* (pow x 4) (+ x (* 2 (/ 1 x))))))))) y)) (+ (* 4 (/ (- (pow x 2) (* 4 (/ 1 (pow x 2)))) (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 16 (/ 1 (* (pow x 3) (+ x (* 2 (/ 1 x)))))))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (/ 4 (* (pow x 2) (+ x (* 2 (/ 1 x))))))))
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#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow x 4))) (* 128 (/ 1 (* (pow x 5) y)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))))
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Outputs
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(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))
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#s(literal 1/2 binary64)
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#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64) (neg.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))) y))) y) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))))))))) x (pow.f64 y #s(literal -1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))) y)))) x (fma.f64 y y (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))))) x (neg.f64 y)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (neg.f64 (*.f64 y y)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 y y)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (-.f64 (.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64) #s(literal 1 binary64)) x (pow.f64 y #s(literal 3 binary64))) x) (.f64 y y)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (-.f64 (.f64 (fma.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64) (.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)) (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/4 binary64))) x)) #s(literal 1 binary64)) x (pow.f64 y #s(literal 3 binary64))) x) (*.f64 y y)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (*.f64 y y))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 y y (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)) x)) (pow.f64 y #s(literal 3 binary64))) x (*.f64 y y)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)) (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/4 binary64))) x)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64))) x) (pow.f64 y #s(literal 3 binary64))) x (.f64 y y)))
#s(approx (/ 4 (* x x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) y)
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x y))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal 1/2 binary64))) x y))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/2 binary64) (.f64 y y)))) x y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) y)
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 y y))) x y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x y))
#s(approx (+ 1 (/ (* x y) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 y) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* 1/2 y) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) x)
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) x))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (*.f64 x x))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 x x)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) y) #s(literal 16 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 x x)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) y) #s(literal 16 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64)))) (.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x))) (.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 48 binary64) #s(literal 4 binary64)) (/.f64 #s(literal 16 binary64) (.f64 y x))) (*.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 48 binary64) #s(literal 4 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal -3 binary64)) #s(literal 128 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x)))) (.f64 x x)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) x)
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (+.f64 (+.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (.f64 y x))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 8 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal -3 binary64)) #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x)))) x))
#s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 y) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (+ (* (* 1/2 y) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64))) x)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (neg.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) x))) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) x)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 48 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 16 binary64) y)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) y) (/.f64 #s(literal 48 binary64) (.f64 (.f64 y y) x))) x) #s(literal -1 binary64) #s(literal 4 binary64)) (*.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 48 binary64)) (/.f64 #s(literal 128 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) x) #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) y)) x) #s(literal -1 binary64) #s(literal 4 binary64)) (*.f64 x x)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) x)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) #s(literal 2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 8 binary64))) x)) (/.f64 #s(literal 4 binary64) y)) x)) #s(literal 2 binary64)) x)))
#s(approx (+ 1 (/ (* x y) 2)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ (* (* 1/2 y) x) 1) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64)) y x))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y (.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)) y x))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 x x (neg.f64 (*.f64 y y))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 (-.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 y y) (*.f64 x x)))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) y x) y) #s(literal 1 binary64)) (.f64 y y) (*.f64 x x)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 y x) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (.f64 (fma.f64 (-.f64 (.f64 (neg.f64 y) (.f64 (.f64 x x) #s(literal -3/4 binary64))) x) y #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) x)))) (.f64 (.f64 x x) #s(literal -3/4 binary64))) y) x) y #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 y x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y))
#s(approx y y)
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (/.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (-.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y))) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 x x)) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 48 binary64)))) (.f64 y y)) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y))) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 x x)) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x))))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) x))) (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y))) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -16 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 x x)) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal -4 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 48 binary64)))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 y #s(literal 3 binary64))) (.f64 x x))) #s(literal 4 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x))) #s(literal 8 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y) #s(literal 2 binary64))) #s(literal 8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 y y))) #s(literal 48 binary64) (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))))))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 x x (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y) (fma.f64 x x (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y) (-.f64 (.f64 x x) (fma.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 128 binary64) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y) (-.f64 (.f64 x x) (fma.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (-.f64 (fma.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 128 binary64) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 (/.f64 #s(literal 2 binary64) x) x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 x (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64)))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x)) x) (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 16 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) x)) (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 16 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64)))))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ (* (* 1/2 y) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 x x)) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal 4 binary64) (-.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y))) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal 8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 48 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y)))) (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64)))) y) #s(literal -1 binary64) (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) x))))
#s(approx (/ (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (+ x (/ y (+ 1 (/ (* x y) 2))))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal -8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 48 binary64)))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) y)) #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 48 binary64))))) y)) (fma.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x) #s(literal 2 binary64))) #s(literal 4 binary64) (.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 16 binary64)))) y) #s(literal -1 binary64) (/.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) x))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) y) #s(literal 48 binary64) (.f64 #s(literal -16 binary64) (pow.f64 x #s(literal -3 binary64)))) y) #s(literal -1 binary64) (fma.f64 x x (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* x x) (pow (/ y (+ 1 (/ (* x y) 2))) 2)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 128 binary64) (/.f64 (pow.f64 x #s(literal -5 binary64)) y) (.f64 #s(literal -48 binary64) (pow.f64 x #s(literal -4 binary64)))) y) #s(literal -1 binary64) (.f64 #s(literal -16 binary64) (pow.f64 x #s(literal -3 binary64)))) y) #s(literal -1 binary64) (fma.f64 x x (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -48 binary64) (/.f64 (pow.f64 x #s(literal -4 binary64)) y))) y))))
#s(approx (pow (/ y (+ 1 (/ (* x y) 2))) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 16 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 48 binary64) (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal -5 binary64)) y))) y))) y))))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
#s(approx (+ x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (pow.f64 x #s(literal -4 binary64)) y))) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (pow.f64 x #s(literal -4 binary64)) y))) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (+ (* (* 1/2 y) x) 1) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))))

eval32.0ms (1.1%)

Memory: -11.4MiB live, 41.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 10 284 to 1 041 computations (89.9% saved)

prune8.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	197	9	206

Accuracy

100.0%

Counts

206 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.8%	(/.f64 (-.f64 (.f64 x x) #s(approx (pow (/ y (+ 1 (/ ( x y) 2))) 2) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (+.f64 x #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
✓	61.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)))
✓	69.6%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	24.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	40.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)))
✓	14.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (* (- 1 (* (pow x -2) 2)) x) (/.f64 #s(literal -2 binary64) x)))
✓	63.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 523 to 207 computations (60.4% saved)

regimes14.0ms (0.5%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.3%)

Memory

-33.0MiB live, 13.4MiB allocated; 3ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms	y
3.0ms	x
3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
91.6%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
87.6%	3	`x`
94.0%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
86.8%	3	`x`
81.4%	4	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
83.5%	4	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Calls

3 calls:

1.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
63.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
63.9%	1	`y`
79.0%	3	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
63.9%	1	`y`
63.9%	1	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

bsearch26.0ms (0.9%)

Memory

-20.4MiB live, 26.2MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	81614969.33751844	8.948261735833326e+20
10.0ms	-2.1978856765366167e+85	-3.4540380408639806e+81

Samples

13.0ms

288×

valid

Compiler

Compiled 518 to 446 computations (13.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div!: 3.0ms (52.8% of total)

ival-mult!: 2.0ms (35.2% of total)

ival-sub!: 1.0ms (17.6% of total)

ival-add!: 1.0ms (17.6% of total)

adjust: 0.0ms (0% of total)

bsearch25.0ms (0.9%)

Memory

30.1MiB live, 30.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.010035210574427337	23851096841680.336
11.0ms	-1.3146516726057658	-3.0743506202779117e-6

Samples

12.0ms

304×

valid

Compiler

Compiled 508 to 432 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div!: 3.0ms (50.3% of total)

ival-mult!: 2.0ms (33.6% of total)

ival-sub!: 1.0ms (16.8% of total)

ival-add!: 1.0ms (16.8% of total)

adjust: 0.0ms (0% of total)

bsearch46.0ms (1.6%)

Memory

-25.6MiB live, 20.5MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.8264299468692347e-165	4.130786415730415e-163
35.0ms	-6.016373021758812e-134	-4.7892729149511066e-138

Samples

35.0ms

240×

valid

Compiler

Compiled 419 to 359 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add!: 26.0ms (86.4% of total)

ival-mult!: 2.0ms (6.6% of total)

ival-div!: 2.0ms (6.6% of total)

ival-sub!: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

simplify33.0ms (1.1%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	139
1	67	139
2	90	139
3	142	139
4	368	139
5	2572	139

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 880000000000000000000 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x) (if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)))
(if (<=.f64 x #s(literal -5319259737831231/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x) (if (<=.f64 x #s(literal 6483618076376551/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Outputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 880000000000000000000 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (or (<=.f64 y #s(literal -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) (not (<=.f64 y #s(literal 880000000000000000000 binary64)))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x) (if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)))
(if (<=.f64 x #s(literal -5319259737831231/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x) (if (<=.f64 x #s(literal 6483618076376551/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

derivations145.0ms (5%)

Memory

-35.3MiB live, 59.5MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 163 to 44 computations (73% saved)

preprocess24.0ms (0.8%)

Memory: 28.4MiB live, 28.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 348 to 106 computations (69.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze20.0ms (0.7%)

sample831.0ms (28.5%)

explain191.0ms (6.5%)

preprocess262.0ms (9%)

eval0.0ms (0%)

prune0.0ms (0%)

series57.0ms (2%)

rewrite350.0ms (12%)

eval11.0ms (0.4%)

prune7.0ms (0.2%)

series19.0ms (0.6%)

rewrite244.0ms (8.4%)

eval32.0ms (1.1%)

prune12.0ms (0.4%)

series28.0ms (1%)

rewrite243.0ms (8.3%)

eval41.0ms (1.4%)

prune10.0ms (0.3%)

series9.0ms (0.3%)

rewrite177.0ms (6.1%)

eval32.0ms (1.1%)

prune8.0ms (0.3%)

regimes14.0ms (0.5%)

regimes10.0ms (0.3%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch26.0ms (0.9%)

bsearch25.0ms (0.9%)

bsearch46.0ms (1.6%)

simplify33.0ms (1.1%)

derivations145.0ms (5%)

preprocess24.0ms (0.8%)

end0.0ms (0%)

Profiling