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

start0.0ms (0%)

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

analyze61.0ms (2.8%)

Memory

-7.1MiB live, 44.8MiB allocated; 50ms 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)

sample759.0ms (34.5%)

Memory

3.6MiB live, 1 123.8MiB allocated; 227ms collecting garbage

Samples

461.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-div!: 78.0ms (46.9% of total)

ival-mult!: 49.0ms (29.4% of total)

ival-sub!: 20.0ms (12% of total)

ival-add!: 19.0ms (11.4% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess85.0ms (3.9%)

Memory

-3.9MiB live, 39.9MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	76
1	49	72
2	72	70
3	153	70
4	370	70
5	1550	70
6	7339	70

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 18 computations (0% saved)

series10.0ms (0.4%)

Memory

20.8MiB live, 20.8MiB 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)
1.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
1.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
1.0ms	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)

rewrite173.0ms (7.9%)

Memory

-14.4MiB live, 218.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

59 → 90

Calls

Call 1

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

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

eval9.0ms (0.4%)

Memory: 19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 047 to 444 computations (57.6% saved)

prune6.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	77	9	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	9	87

Accuracy

100.0%

Counts

87 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
▶	64.4%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)))))
	64.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	51.1%	(-.f64 x #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)))
	66.5%	(-.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)))
▶	76.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
	25.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	65.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 242 to 242 computations (0% saved)

series13.0ms (0.6%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

26 → 79

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 1))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (neg (* (- (* -1/2 y) (/ 1 x)) x)) #s(hole binary64 1))
#s(approx (neg (* (- (* -1/2 y) (/ 1 x)) x)) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (* (- (* -1/2 y) (/ 1 x)) x) #s(hole binary64 -1))
#s(approx (* (- (* -1/2 y) (/ 1 x)) x) #s(hole binary64 (- (* -1/2 (* x y)) 1)))
#s(approx (- (* -1/2 y) (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- (* -1/2 y) (/ 1 x)) #s(hole binary64 (/ (- (* -1/2 (* x y)) 1) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 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 (neg (* (- (* -1/2 y) (/ 1 x)) x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (neg (* (- (* -1/2 y) (/ 1 x)) x)) #s(hole binary64 (* x (- (/ 1 x) (* -1/2 y)))))
#s(approx (* (- (* -1/2 y) (/ 1 x)) x) #s(hole binary64 (* -1/2 (* x y))))
#s(approx (* (- (* -1/2 y) (/ 1 x)) x) #s(hole binary64 (* x (- (* -1/2 y) (/ 1 x)))))
#s(approx (- (* -1/2 y) (/ 1 x)) #s(hole binary64 (* -1/2 y)))
#s(approx (- (* -1/2 y) (/ 1 x)) #s(hole binary64 (- (* -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 (neg (* (- (* -1/2 y) (/ 1 x)) x)) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (* (- (* -1/2 y) (/ 1 x)) x) #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 (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
#s(approx (/ 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 (neg (* (- (* -1/2 y) (/ 1 x)) x)) #s(hole binary64 (* y (- (/ 1 y) (* -1/2 x)))))
#s(approx (* (- (* -1/2 y) (/ 1 x)) x) #s(hole binary64 (* y (- (* -1/2 x) (/ 1 y)))))
#s(approx (- (* -1/2 y) (/ 1 x)) #s(hole binary64 (* -1 (* y (+ 1/2 (/ 1 (* x y)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))
#s(approx (+ (* (* 1/2 y) x) 1) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))
#s(approx (neg (* (- (* -1/2 y) (/ 1 x)) x)) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (* (- (* -1/2 y) (/ 1 x)) x) #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)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (neg (* (- (* -1/2 y) (/ 1 x)) x)) (* (- (* -1/2 y) (/ 1 x)) x) (- (* -1/2 y) (/ 1 x)) (* -1/2 y) -1/2 (/ 1 x))
2.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (neg (* (- (* -1/2 y) (/ 1 x)) x)) (* (- (* -1/2 y) (/ 1 x)) x) (- (* -1/2 y) (/ 1 x)) (* -1/2 y) -1/2 (/ 1 x))
2.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (neg (* (- (* -1/2 y) (/ 1 x)) x)) (* (- (* -1/2 y) (/ 1 x)) x) (- (* -1/2 y) (/ 1 x)) (* -1/2 y) -1/2 (/ 1 x))
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (neg (* (- (* -1/2 y) (/ 1 x)) x)) (* (- (* -1/2 y) (/ 1 x)) x) (- (* -1/2 y) (/ 1 x)) (* -1/2 y) -1/2 (/ 1 x))
1.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 y) x) 1) (* 1/2 y) 1/2 1 (- x (/ y (+ 1 (/ (* x y) 2)))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (neg (* (- (* -1/2 y) (/ 1 x)) x)) (* (- (* -1/2 y) (/ 1 x)) x) (- (* -1/2 y) (/ 1 x)) (* -1/2 y) -1/2 (/ 1 x))

rewrite217.0ms (9.9%)

Memory

-25.2MiB live, 202.9MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	2023
0	371	1873
1	1996	1867
0	9097	1768

Stop Event

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

Counts

105 → 191

Calls

Call 1

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

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

eval21.0ms (0.9%)

Memory: -21.1MiB live, 38.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 554 to 884 computations (65.4% saved)

prune8.0ms (0.4%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	4	4
Picked	1	4	5
Done	0	0	0
Total	164	9	173

Accuracy

100.0%

Counts

173 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) x)) x))))
✓	64.4%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
▶	64.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	51.1%	(-.f64 x #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)))
▶	66.5%	(-.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)))
✓	76.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
▶	25.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	65.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 191 to 191 computations (0% saved)

series24.0ms (1.1%)

Memory

-1.9MiB live, 43.2MiB allocated; 5ms collecting garbage

Counts

31 → 112

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite176.0ms (8%)

Memory

26.7MiB live, 209.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	2930
0	502	2763
1	2678	2750
0	8106	2609

Stop Event

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

Counts

143 → 292

Calls

Call 1

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

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

eval48.0ms (2.2%)

Memory: 12.0MiB live, 57.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 024 to 1 479 computations (63.2% saved)

prune11.0ms (0.5%)

Memory

-27.5MiB live, 16.7MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	268	1	269
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	269	9	278

Accuracy

100.0%

Counts

278 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) x)) x))))
✓	64.4%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	64.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	56.6%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 #s(approx (+ ( (* 1/4 (* x x)) y) (* -1/2 x)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) x)) y #s(literal 1 binary64)) y)))
✓	66.5%	(-.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)))
✓	76.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	25.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	65.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 127 to 127 computations (0% saved)

series10.0ms (0.5%)

Memory

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

Counts

14 → 88

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 (+ 1 (* -1/2 (* x y)))))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 y) (* 1/4 (* x (pow y 2))))))))
#s(approx (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) #s(hole binary64 (* x (- (* 1/4 (* x y)) 1/2))))
#s(approx (* (- (* 1/4 (* y x)) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* 1/4 (* y x)) 1/2) x) #s(hole binary64 (* x (- (* 1/4 (* x y)) 1/2))))
#s(approx (- (* 1/4 (* y x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/4 (* y x)) 1/2) #s(hole binary64 (- (* 1/4 (* x y)) 1/2)))
#s(approx (* 1/4 (* y x)) #s(hole binary64 (* 1/4 (* x y))))
#s(approx (* y x) #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 (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (* 1/4 (* (pow x 2) (pow y 3)))))
#s(approx (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (* 1/4 (pow y 3))))))
#s(approx (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (pow y 2) x)) (+ (* 1/4 (pow y 3)) (/ y (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 (* 1/4 (* (pow x 2) (pow y 2)))))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) #s(hole binary64 (* 1/4 (* (pow x 2) y))))
#s(approx (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) #s(hole binary64 (* (pow x 2) (- (* 1/4 y) (* 1/2 (/ 1 x))))))
#s(approx (* (- (* 1/4 (* y x)) 1/2) x) #s(hole binary64 (* 1/4 (* (pow x 2) y))))
#s(approx (* (- (* 1/4 (* y x)) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/4 y) (* 1/2 (/ 1 x))))))
#s(approx (- (* 1/4 (* y x)) 1/2) #s(hole binary64 (* 1/4 (* x y))))
#s(approx (- (* 1/4 (* y x)) 1/2) #s(hole binary64 (* x (- (* 1/4 y) (* 1/2 (/ 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 (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* 1/2 (pow y 2))) x)) (* 1/4 (pow y 3))))))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* 1/2 y) (/ 1 x)) x)) (* 1/4 (pow y 2))))))
#s(approx (- (* 1/4 (* y x)) 1/2) #s(hole binary64 (* -1 (* x (+ (* -1/4 y) (* 1/2 (/ 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 (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y)))))))
#s(approx (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) #s(hole binary64 (+ (* -1/2 x) (* 1/4 (* (pow x 2) y)))))
#s(approx (* (- (* 1/4 (* y x)) 1/2) x) #s(hole binary64 (+ (* -1/2 x) (* 1/4 (* (pow x 2) 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 (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 (* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 (* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))))
#s(approx (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) #s(hole binary64 (* y (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))))
#s(approx (* (- (* 1/4 (* y x)) 1/2) x) #s(hole binary64 (* y (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))))
#s(approx (- (* 1/4 (* y x)) 1/2) #s(hole binary64 (* y (- (* 1/4 x) (* 1/2 (/ 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 (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y)))))))
#s(approx (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ 1 y)) y)) (* -1/4 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 y)) y)) (* 1/4 (pow x 2))))))
#s(approx (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) #s(hole binary64 (* -1 (* y (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y)))))))
#s(approx (* (- (* 1/4 (* y x)) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y)))))))
#s(approx (- (* 1/4 (* y x)) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/4 x) (* 1/2 (/ 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))) (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) (* (- (* 1/4 (* y x)) 1/2) x) (- (* 1/4 (* y x)) 1/2) (* 1/4 (* y x)) 1/4 (* y x) y 1/2 1)
2.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) (* (- (* 1/4 (* y x)) 1/2) x) (- (* 1/4 (* y x)) 1/2) (* 1/4 (* y x)) 1/4 (* y x) y 1/2 1)
1.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) (* (- (* 1/4 (* y x)) 1/2) x) (- (* 1/4 (* y x)) 1/2) (* 1/4 (* y x)) 1/4 (* y x) y 1/2 1)
1.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) (* (- (* 1/4 (* y x)) 1/2) x) (- (* 1/4 (* y x)) 1/2) (* 1/4 (* y x)) 1/4 (* y x) y 1/2 1)
1.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (* (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) y) (+ (* (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) y) 1) (+ (* (* 1/4 (* x x)) y) (* -1/2 x)) (* (- (* 1/4 (* y x)) 1/2) x) (- (* 1/4 (* y x)) 1/2) (* 1/4 (* y x)) 1/4 (* y x) y 1/2 1)

rewrite168.0ms (7.6%)

Memory

-26.1MiB live, 167.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	2586
0	433	2439
1	2521	2439
0	8148	2259

Stop Event

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

Counts

102 → 129

Calls

Call 1

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

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

eval13.0ms (0.6%)

Memory: 28.7MiB live, 28.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 182 to 766 computations (64.9% saved)

prune104.0ms (4.8%)

Memory

-47.7MiB live, 17.8MiB allocated; 132ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	114	9	123

Accuracy

100.0%

Counts

123 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) x)) x))))
✓	64.4%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	64.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	56.6%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 #s(approx (+ ( (* 1/4 (* x x)) y) (* -1/2 x)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) x)) y #s(literal 1 binary64)) y)))
✓	66.5%	(-.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)))
✓	76.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	25.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	65.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 237 to 204 computations (13.9% saved)

regimes11.0ms (0.5%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	x
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 11 to 13 computations (-18.2% saved)

regimes21.0ms (1%)

Memory

-29.1MiB live, 23.5MiB allocated; 28ms 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 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y 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)))

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:

16.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
89.5%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
91.3%	3	`x`
93.3%	3	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes5.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB 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	y
2.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
80.6%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
88.8%	3	`x`
83.4%	3	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
65.9%	1	`y`
81.2%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
65.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
65.9%	1	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch14.0ms (0.7%)

Memory

-17.1MiB live, 26.5MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.808129531625668e+116	4.573153155168643e+117
2.0ms	-5.088283126337095e+37	-4.2159656982120537e+37

Samples

5.0ms

128×

valid

Compiler

Compiled 190 to 206 computations (-8.4% saved)

Precisions

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

ival-mult!: 1.0ms (37.7% of total)

ival-div!: 1.0ms (37.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch21.0ms (1%)

Memory

-4.5MiB live, 41.5MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	9.685760074936536e-8	1.7398185874842528e-7
10.0ms	-8107939527859.067	-15668.575284556062

Samples

8.0ms

208×

valid

Compiler

Compiled 274 to 300 computations (-9.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div!: 2.0ms (51.4% of total)

ival-mult!: 1.0ms (25.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch23.0ms (1.1%)

Memory

41.1MiB live, 41.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	8.283753214225811e-134	6.609433752598323e-130
12.0ms	-6.560638704743593e-55	-3.0004803300174255e-72

Samples

11.0ms

288×

valid

Compiler

Compiled 392 to 428 computations (-9.2% saved)

Precisions

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

ival-div!: 3.0ms (54.3% of total)

ival-mult!: 2.0ms (36.2% of total)

ival-sub!: 1.0ms (18.1% of total)

ival-add!: 1.0ms (18.1% of total)

adjust: 0.0ms (0% of total)

derivations131.0ms (6%)

Memory

-15.9MiB live, 85.8MiB allocated; 23ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 59 to 43 computations (27.1% saved)

preprocess50.0ms (2.3%)

Memory: 15.7MiB live, 59.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 68 to 52 computations (23.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze61.0ms (2.8%)

sample759.0ms (34.5%)

preprocess85.0ms (3.9%)

series10.0ms (0.4%)

rewrite173.0ms (7.9%)

eval9.0ms (0.4%)

prune6.0ms (0.3%)

series13.0ms (0.6%)

rewrite217.0ms (9.9%)

eval21.0ms (0.9%)

prune8.0ms (0.4%)

series24.0ms (1.1%)

rewrite176.0ms (8%)

eval48.0ms (2.2%)

prune11.0ms (0.5%)

series10.0ms (0.5%)

rewrite168.0ms (7.6%)

eval13.0ms (0.6%)

prune104.0ms (4.8%)

regimes11.0ms (0.5%)

regimes21.0ms (1%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch14.0ms (0.7%)

bsearch21.0ms (1%)

bsearch23.0ms (1.1%)

derivations131.0ms (6%)

preprocess50.0ms (2.3%)

end0.0ms (0%)

Profiling