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

analyze70.0ms (3.2%)

Memory

-5.3MiB live, 37.7MiB allocated; 8ms 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)

sample593.0ms (27.1%)

Memory

-13.6MiB live, 833.3MiB allocated; 129ms collecting garbage

Samples

340.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-div!: 76.0ms (45% of total)

ival-mult!: 53.0ms (31.4% of total)

ival-add!: 20.0ms (11.9% of total)

ival-sub!: 18.0ms (10.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

explain97.0ms (4.4%)

Memory

9.3MiB live, 146.7MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div!: 5.0ms (49.7% of total)

ival-mult!: 3.0ms (29.8% of total)

ival-sub!: 1.0ms (9.9% of total)

ival-add!: 1.0ms (9.9% of total)

adjust: 0.0ms (0% of total)

preprocess93.0ms (4.3%)

Memory

-17.2MiB live, 46.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 2 (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

Stop Event

1×	node-limit

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 22 to 18 computations (18.2% saved)

series10.0ms (0.4%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms 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
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	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)
1.0ms	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)

rewrite256.0ms (11.7%)

Memory

-8.1MiB live, 224.7MiB allocated; 37ms 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 (0.5%)

Memory: 27.1MiB live, 27.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 061 to 441 computations (78.6% saved)

prune7.0ms (0.3%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	10	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Accuracy

100.0%

Counts

94 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.1%	(/.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)))))))
▶	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)))))
	99.9%	(-.f64 x (/.f64 y #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)))))))
	61.6%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
▶	58.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
	61.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	60.8%	(-.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)))
▶	72.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
	26.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	64.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 384 to 266 computations (30.7% saved)

series62.0ms (2.8%)

Memory

-25.1MiB live, 21.5MiB allocated; 3ms collecting garbage

Counts

25 → 84

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)
(-.f64 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 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x)))
#s(literal 2 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 y x))
#s(literal 4 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 (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (/ -4 (* (pow x 2) y))))
#s(approx (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))))
#s(approx (- 2 (/ 4 (* y x))) #s(hole binary64 (/ -4 (* x y))))
#s(approx (- 2 (/ 4 (* y x))) #s(hole binary64 (/ (- (* 2 x) (* 4 (/ 1 y))) x)))
#s(approx (/ 4 (* y x)) #s(hole binary64 (/ 4 (* 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 (+ (* (* 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 (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (- 2 (/ 4 (* y x))) #s(hole binary64 2))
#s(approx (- 2 (/ 4 (* y x))) #s(hole binary64 (- 2 (* 4 (/ 1 (* x y))))))
#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 (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 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 (/ 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 (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)))
#s(approx (- 2 (/ 4 (* y x))) #s(hole binary64 (/ (- (* 2 y) (* 4 (/ 1 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 (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) 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
48.0ms	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)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) 2 (/ 4 (* y x)) 4)
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)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) 2 (/ 4 (* y x)) 4)
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)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) 2 (/ 4 (* y x)) 4)
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)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) 2 (/ 4 (* y x)) 4)
2.0ms	y	@	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)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) 2 (/ 4 (* y x)) 4)

rewrite246.0ms (11.3%)

Memory

28.9MiB live, 254.8MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	2112
0	394	1944
1	2156	1944
0	9736	1843

Stop Event

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

Counts

109 → 237

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

eval57.0ms (2.6%)

Memory: -31.4MiB live, 75.6MiB allocated; 14ms collecting garbage
Compiler: Compiled 7 724 to 1 143 computations (85.2% saved)

prune9.0ms (0.4%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	251	4	255
Fresh	3	2	5
Picked	0	5	5
Done	0	0	0
Total	254	11	265

Accuracy

100.0%

Counts

265 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.1%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (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 3 binary64))) (fma.f64 x x (+.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))))))))
✓	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)))))
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 y #s(literal -1 binary64))) y))))
▶	61.6%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	58.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
▶	61.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(approx (- 2 (/ 4 (* y x))) #s(literal 2 binary64)) x)))
✓	60.8%	(-.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)))
▶	54.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 4 binary64) y)) (.f64 x x)))))
✓	72.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
▶	26.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	64.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 425 to 269 computations (36.7% saved)

series27.0ms (1.2%)

Memory

-9.6MiB live, 37.0MiB allocated; 2ms collecting garbage

Counts

31 → 92

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (* (+ (* 1/2 x) (pow y -1)) y) (+ (* 1/2 x) (pow y -1)) 1/2 (pow y -1) -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) 2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (/ (- (* 2 x) (/ 4 y)) (* x x)) (- (* 2 x) (/ 4 y)) (* 2 x) (/ 4 y) 4 (* x x))
5.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (* (+ (* 1/2 x) (pow y -1)) y) (+ (* 1/2 x) (pow y -1)) 1/2 (pow y -1) -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) 2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (/ (- (* 2 x) (/ 4 y)) (* x x)) (- (* 2 x) (/ 4 y)) (* 2 x) (/ 4 y) 4 (* x x))
3.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (* (+ (* 1/2 x) (pow y -1)) y) (+ (* 1/2 x) (pow y -1)) 1/2 (pow y -1) -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) 2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (/ (- (* 2 x) (/ 4 y)) (* x x)) (- (* 2 x) (/ 4 y)) (* 2 x) (/ 4 y) 4 (* x x))
2.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (* (+ (* 1/2 x) (pow y -1)) y) (+ (* 1/2 x) (pow y -1)) 1/2 (pow y -1) -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) 2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (/ (- (* 2 x) (/ 4 y)) (* x x)) (- (* 2 x) (/ 4 y)) (* 2 x) (/ 4 y) 4 (* x x))
2.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (* (+ (* 1/2 x) (pow y -1)) y) (+ (* 1/2 x) (pow y -1)) 1/2 (pow y -1) -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) 2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (/ (- (* 2 x) (/ 4 y)) (* x x)) (- (* 2 x) (/ 4 y)) (* 2 x) (/ 4 y) 4 (* x x))

rewrite222.0ms (10.1%)

Memory

3.5MiB live, 252.4MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	2353
0	410	2187
1	2139	2173
0	9671	2032

Stop Event

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

Counts

123 → 251

Calls

Call 1

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

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

eval36.0ms (1.7%)

Memory: -39.5MiB live, 67.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 9 153 to 1 249 computations (86.4% saved)

prune7.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	271	3	274
Fresh	1	0	1
Picked	2	3	5
Done	0	5	5
Total	274	11	285

Accuracy

100.0%

Counts

285 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))))
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)) y))))
✓	61.6%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	58.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
✓	61.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(approx (- 2 (/ 4 (* y x))) #s(literal 2 binary64)) x)))
✓	60.8%	(-.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)))
▶	13.6%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)) (.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) y))) (pow.f64 x #s(literal 4 binary64))))))
▶	57.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 #s(approx (- (* 2 x) (/ 4 y)) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))))
✓	72.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	26.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	64.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 237 to 171 computations (27.8% saved)

series33.0ms (1.5%)

Memory

-15.2MiB live, 30.8MiB allocated; 3ms collecting garbage

Counts

28 → 101

Calls

Call 1

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

Calls

6 calls:

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

rewrite214.0ms (9.8%)

Memory

28.6MiB live, 252.8MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	403	2741
0	428	2490
1	2226	2443
0	9823	2291

Stop Event

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

Counts

129 → 270

Calls

Call 1

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

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

eval51.0ms (2.3%)

Memory: 4.6MiB live, 63.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 13 284 to 1 628 computations (87.7% saved)

prune31.0ms (1.4%)

Memory

-25.4MiB live, 21.7MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	325	2	327
Fresh	0	0	0
Picked	2	1	3
Done	0	8	8
Total	327	11	338

Accuracy

100.0%

Counts

338 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)) y))))
✓	61.6%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	58.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
✓	61.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(approx (- 2 (/ 4 (* y x))) #s(literal 2 binary64)) x)))
✓	60.8%	(-.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)))
	13.6%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)) (.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) y))) (.f64 (.f64 x x) (.f64 x x))))))
	57.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 #s(approx (- (* 2 x) (/ 4 y)) (+.f64 x x)) (*.f64 x x)))))
✓	72.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	26.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	64.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 763 to 298 computations (60.9% saved)

regimes17.0ms (0.8%)

Memory

34.4MiB live, 34.4MiB allocated; 0ms collecting garbage

Counts

20 → 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))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(approx (- 2 (/ 4 (* y 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 #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 #s(approx (- (* 2 x) (/ 4 y)) (+.f64 x x)) (*.f64 x x)))))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 #s(approx (- (* 2 x) (/ 4 y)) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))))
(-.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 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)) y))))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 4 binary64) y)) (.f64 x x)))))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)) (.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) y))) (.f64 (.f64 x x) (.f64 x x))))))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 y #s(literal -1 binary64))) y))))
(-.f64 x (/.f64 y #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)))))))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)) (.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) y))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (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 3 binary64))) (fma.f64 x x (+.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))))))))
(/.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)))))))

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

Calls

3 calls:

5.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
5.0ms	y
5.0ms	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)

regimes14.0ms (0.6%)

Memory

-22.2MiB live, 22.3MiB allocated; 4ms collecting garbage

Counts

11 → 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))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(approx (- 2 (/ 4 (* y 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 #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 #s(approx (- (* 2 x) (/ 4 y)) (+.f64 x x)) (*.f64 x x)))))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 #s(approx (- (* 2 x) (/ 4 y)) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))))
(-.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 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) 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)))))

Calls

3 calls:

6.0ms	x
3.0ms	y
3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

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)

regimes9.0ms (0.4%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

9 → 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))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(approx (- 2 (/ 4 (* y 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 #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 #s(approx (- (* 2 x) (/ 4 y)) (+.f64 x x)) (*.f64 x x)))))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) #s(approx (/ (- 2 (/ 4 (* y x))) x) (/.f64 #s(approx (- (* 2 x) (/ 4 y)) (.f64 #s(literal 2 binary64) x)) (.f64 x x)))))
(-.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:

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

Results

Accuracy	Segments	Branch
88.9%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
89.8%	3	`x`
94.3%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

3 → 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))

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
79.8%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
87.6%	3	`x`
83.3%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.3%)

Memory

-35.5MiB live, 9.5MiB allocated; 3ms 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:

3.0ms	(-.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
67.8%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
68.3%	3	`y`
78.6%	3	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

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

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
64.1%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
64.1%	1	`y`
64.1%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

Memory

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

Steps

Time	Left	Right
0.0ms	-2.6294654540848384e+45	-7.258657298165326e+43

start0.0ms (0%)

analyze70.0ms (3.2%)

sample593.0ms (27.1%)

explain97.0ms (4.4%)

preprocess93.0ms (4.3%)

series10.0ms (0.4%)

rewrite256.0ms (11.7%)

eval11.0ms (0.5%)

prune7.0ms (0.3%)

series62.0ms (2.8%)

rewrite246.0ms (11.3%)

eval57.0ms (2.6%)

prune9.0ms (0.4%)

series27.0ms (1.2%)

rewrite222.0ms (10.1%)

eval36.0ms (1.7%)

prune7.0ms (0.3%)

series33.0ms (1.5%)

rewrite214.0ms (9.8%)

eval51.0ms (2.3%)

prune31.0ms (1.4%)

regimes17.0ms (0.8%)

regimes14.0ms (0.6%)

regimes9.0ms (0.4%)

regimes5.0ms (0.2%)

regimes6.0ms (0.3%)

regimes3.0ms (0.2%)

bsearch0.0ms (0%)

end0.0ms (0%)

Profiling