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

analyze38.0ms (1.5%)

Memory

-6.6MiB live, 36.4MiB allocated; 23ms 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)

sample967.0ms (37.7%)

Memory

-11.2MiB live, 1 032.5MiB allocated; 229ms collecting garbage

Samples

640.0ms	8 251×	0	valid
1.0ms	4×	3	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-div: 127.0ms (39.1% of total)

ival-sub: 80.0ms (24.6% of total)

ival-mult: 64.0ms (19.7% of total)

ival-add: 38.0ms (11.7% of total)

exact: 11.0ms (3.4% of total)

adjust: 3.0ms (0.9% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain148.0ms (5.8%)

Memory

2.9MiB live, 198.4MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(/.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

42.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 7.0ms (26.1% of total)

ival-sub: 7.0ms (26.1% of total)

ival-add: 7.0ms (26.1% of total)

ival-mult: 4.0ms (14.9% of total)

exact: 1.0ms (3.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess295.0ms (11.5%)

Memory

5.5MiB live, 194.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

series10.0ms (0.4%)

Memory

7.8MiB live, 7.8MiB 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	@	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)
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	@	-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)

rewrite204.0ms (8%)

Memory

12.2MiB live, 197.1MiB allocated; 28ms 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)))))

eval13.0ms (0.5%)

Memory: -18.4MiB live, 26.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 061 to 441 computations (78.6% saved)

prune5.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	7	94

Accuracy

100.0%

Counts

94 → 7

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 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
	64.4%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
▶	64.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	63.8%	(-.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)))
▶	73.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
▶	27.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	59.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 220 to 170 computations (22.7% saved)

series7.0ms (0.3%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

18 → 58

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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 x) 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) 2)
1.0ms	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 x) 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) 2)
1.0ms	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 x) 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) 2)
1.0ms	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 x) 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) 2)
1.0ms	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 x) 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) 2)

rewrite219.0ms (8.5%)

Memory

10.5MiB live, 239.5MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	1584
0	315	1449
1	1862	1449
0	8698	1353

Stop Event

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

Counts

76 → 141

Calls

Call 1

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

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

eval18.0ms (0.7%)

Memory: -13.3MiB live, 32.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 132 to 636 computations (84.6% saved)

prune6.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	148	7	155

Accuracy

100.0%

Counts

155 → 7

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 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
▶	64.4%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	64.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	63.8%	(-.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)))
✓	73.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	27.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	59.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 110 to 85 computations (22.7% saved)

series8.0ms (0.3%)

Memory

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

Counts

14 → 64

Calls

Call 1

Inputs
(-.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)))
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 (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)
y
#s(literal 1 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))
#s(literal 1/2 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 (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 (+ 1 (* -1/2 (* x y)))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ 1 (/ (* 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)) #s(hole binary64 (* 1/2 (* 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 (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (* -1/2 (* x (pow y 2)))))
#s(approx (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (* x (+ (* -1/2 (pow y 2)) (/ y x)))))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 (* -1/2 (* x y))))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 (* x (+ (* -1/2 y) (/ 1 x)))))
#s(approx (+ 1 (/ (* 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 (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))))
#s(approx (+ (* -1/2 (* y x)) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 y) (/ 1 x))))))
#s(approx (+ 1 (/ (* 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 (* (+ (* -1/2 (* y x)) 1) y) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#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 (* (+ (* -1/2 (* 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 (+ 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 (+ (* -1/2 (* y x)) 1) #s(hole binary64 (* -1 (* y (- (* 1/2 x) (/ 1 y))))))
#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	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) y 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) 1/2)
1.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) y 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) 1/2)
1.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) y 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) 1/2)
1.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) y 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) 1/2)
1.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) y 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) 1/2)

rewrite210.0ms (8.2%)

Memory

5.1MiB live, 186.8MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	1672
0	343	1535
1	1973	1535
0	9076	1437

Stop Event

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

Counts

78 → 131

Calls

Call 1

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

eval22.0ms (0.9%)

Memory: -24.0MiB live, 36.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 134 to 642 computations (84.5% saved)

prune6.0ms (0.3%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	139	7	146

Accuracy

100.0%

Counts

146 → 7

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 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
✓	64.4%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	64.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	63.8%	(-.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)))
✓	73.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	27.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	59.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 231 to 124 computations (46.3% saved)

regimes11.0ms (0.4%)

Memory

-27.5MiB live, 18.4MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

3 calls:

5.0ms	x
3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	y

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)

regimes7.0ms (0.3%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

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

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

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:

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
90.1%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
90.4%	3	`x`
91.9%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB 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
1.0ms	y

Results

Accuracy	Segments	Branch
77.6%	2	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
85.0%	3	`x`
78.8%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.2%)

Memory

-34.6MiB live, 11.7MiB 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	y
1.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
59.5%	1	`y`
65.3%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
77.6%	3	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes2.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
59.5%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
59.5%	1	`x`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch21.0ms (0.8%)

Memory

-8.4MiB live, 38.2MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.41695282935255e+91	1.143299149025829e+92
10.0ms	-4.443080084373084e+54	-2.217107720726857e+53

Samples

10.0ms

192×

valid

Compiler

Compiled 350 to 302 computations (13.7% saved)

Precisions

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

ival-div: 2.0ms (32.6% of total)

ival-mult: 2.0ms (32.6% of total)

ival-sub: 1.0ms (16.3% of total)

ival-add: 1.0ms (16.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch29.0ms (1.1%)

Memory

39.5MiB live, 39.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0009402176159408588	0.4834983103004798
14.0ms	-80365463.72625601	-1.3420240014846047e-7

Samples

16.0ms

288×

valid

Compiler

Compiled 482 to 410 computations (14.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (44.2% of total)

ival-mult: 2.0ms (22.1% of total)

ival-sub: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.9%)

Memory

-20.0MiB live, 29.7MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9.321304104471163e-102	1.6266236961402172e-100
11.0ms	-4.7323476174238666e-95	-1.8210857227493203e-95

Samples

11.0ms

192×

valid

Compiler

Compiled 338 to 290 computations (14.2% saved)

Precisions

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

ival-div: 2.0ms (32.3% of total)

ival-sub: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

ival-mult: 1.0ms (16.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify45.0ms (1.7%)

Memory

-16.5MiB live, 29.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4399999999999999800030990706721931364744213428669775872 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 43999999999999999882239505230210767312280668645846942286613315082079269076638248742938476544 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x) (if (<=.f64 x #s(literal 1080863910568919/2251799813685248 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)))
(if (<=.f64 x #s(literal -7815949715471317/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x) (if (<=.f64 x #s(literal 3703788582461081/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Outputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4399999999999999800030990706721931364744213428669775872 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 43999999999999999882239505230210767312280668645846942286613315082079269076638248742938476544 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (or (<=.f64 y #s(literal -4399999999999999800030990706721931364744213428669775872 binary64)) (not (<=.f64 y #s(literal 43999999999999999882239505230210767312280668645846942286613315082079269076638248742938476544 binary64)))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x) (if (<=.f64 x #s(literal 1080863910568919/2251799813685248 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)))
(if (<=.f64 x #s(literal -7815949715471317/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x) (if (<=.f64 x #s(literal 3703788582461081/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

derivations116.0ms (4.5%)

Memory

9.5MiB live, 95.1MiB allocated; 11ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 163 to 44 computations (73% saved)

preprocess118.0ms (4.6%)

Memory: -10.2MiB live, 58.0MiB allocated; 146ms collecting garbage
Compiler: Compiled 348 to 106 computations (69.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze38.0ms (1.5%)

sample967.0ms (37.7%)

explain148.0ms (5.8%)

preprocess295.0ms (11.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series10.0ms (0.4%)

rewrite204.0ms (8%)

eval13.0ms (0.5%)

prune5.0ms (0.2%)

series7.0ms (0.3%)

rewrite219.0ms (8.5%)

eval18.0ms (0.7%)

prune6.0ms (0.2%)

series8.0ms (0.3%)

rewrite210.0ms (8.2%)

eval22.0ms (0.9%)

prune6.0ms (0.3%)

regimes11.0ms (0.4%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch21.0ms (0.8%)

bsearch29.0ms (1.1%)

bsearch23.0ms (0.9%)

simplify45.0ms (1.7%)

derivations116.0ms (4.5%)

preprocess118.0ms (4.6%)

end0.0ms (0%)

Profiling