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

analyze20.0ms (0.8%)

Memory

40.2MiB live, 40.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample708.0ms (27.1%)

Memory

5.3MiB live, 1 182.7MiB allocated; 206ms collecting garbage

Samples

462.0ms	8 254×	0	valid
0.0ms	2×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-div!: 168.0ms (62.9% of total)

ival-mult!: 56.0ms (21% of total)

ival-add!: 23.0ms (8.6% of total)

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

adjust: 2.0ms (0.7% of total)

Bogosity

explain99.0ms (3.8%)

Memory

-12.2MiB live, 180.6MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

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

ival-div!: 5.0ms (47.6% of total)

ival-mult!: 3.0ms (28.5% of total)

ival-sub!: 1.0ms (9.5% of total)

ival-add!: 1.0ms (9.5% of total)

adjust: 0.0ms (0% of total)

preprocess121.0ms (4.6%)

Memory

-18.4MiB live, 37.0MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

series10.0ms (0.4%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms collecting garbage

Counts

9 → 50

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite301.0ms (11.5%)

Memory

36.9MiB live, 305.0MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

59 → 90

Calls

Call 1

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

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

eval31.0ms (1.2%)

Memory: -28.5MiB live, 18.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 942 to 440 computations (77.3% saved)

prune6.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	73	9	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	9	83

Accuracy

100.0%

Counts

83 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))))))
▶	62.3%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
▶	59.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
	62.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	65.5%	(-.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)))
▶	74.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
	27.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	62.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 290 to 224 computations (22.8% saved)

series14.0ms (0.5%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

23 → 110

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #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 (+ (* x (/ y 2)) 1)) #s(hole binary64 y))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ (* x (/ y 2)) 1) #s(hole binary64 1))
#s(approx (+ (* x (/ y 2)) 1) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#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 (/ 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)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (/ -4 (* (pow x 2) y))))
#s(approx (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))))
#s(approx (- 2 (/ 4 (* y x))) #s(hole binary64 (/ -4 (* x y))))
#s(approx (- 2 (/ 4 (* y x))) #s(hole binary64 (/ (- (* 2 x) (* 4 (/ 1 y))) x)))
#s(approx (/ 4 (* y x)) #s(hole binary64 (/ 4 (* x y))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 x))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #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 (+ (* x (/ y 2)) 1)) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #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 (+ (* x (/ y 2)) 1) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ (* x (/ y 2)) 1) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 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 (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (- 2 (/ 4 (* y x))) #s(hole binary64 2))
#s(approx (- 2 (/ 4 (* y x))) #s(hole binary64 (- 2 (* 4 (/ 1 (* x y))))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #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 (+ (* x (/ y 2)) 1)) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #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 (+ (* x (/ y 2)) 1) #s(hole binary64 (* -1 (* 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 (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #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 (/ y 2) #s(hole binary64 (* 1/2 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)))
#s(approx (- 2 (/ 4 (* y x))) #s(hole binary64 (/ (- (* 2 y) (* 4 (/ 1 x))) y)))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #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 (+ (* x (/ y 2)) 1)) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #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 (+ (* x (/ y 2)) 1) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 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 (/ (- 2 (/ 4 (* y x))) x) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ (* x (/ y 2)) 1))) #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 (+ (* x (/ y 2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))))
#s(approx (/ y (+ (* x (/ y 2)) 1)) #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 (+ (* x (/ y 2)) 1) #s(hole binary64 (* -1 (* 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
3.0ms	x	@	0	((- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) y (+ (* x (/ y 2)) 1) (/ y 2) 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)) 1/2 (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (/ 4 (* y x)) 4)
2.0ms	y	@	-inf	((- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) y (+ (* x (/ y 2)) 1) (/ y 2) 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)) 1/2 (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (/ 4 (* y x)) 4)
2.0ms	y	@	inf	((- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) y (+ (* x (/ y 2)) 1) (/ y 2) 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)) 1/2 (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (/ 4 (* y x)) 4)
2.0ms	x	@	-inf	((- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) y (+ (* x (/ y 2)) 1) (/ y 2) 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)) 1/2 (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (/ 4 (* y x)) 4)
2.0ms	y	@	0	((- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) y (+ (* x (/ y 2)) 1) (/ y 2) 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)) 1/2 (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (/ 4 (* y x)) 4)

rewrite259.0ms (9.9%)

Memory

-28.2MiB live, 163.9MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	3024
0	403	2707
1	2062	2707
0	9292	2618

Stop Event

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

Counts

133 → 222

Calls

Call 1

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

eval43.0ms (1.7%)

Memory: -8.7MiB live, 45.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 804 to 832 computations (82.7% saved)

prune5.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	161	3	164
Fresh	3	1	4
Picked	0	5	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 (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ (* x (/ y 2)) 1) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))))))
✓	62.3%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
▶	62.4%	(-.f64 x #s(approx (/ y (+ (* x (/ y 2)) 1)) (/.f64 #s(literal 2 binary64) x)))
▶	65.5%	(-.f64 x #s(approx (/ y (+ (* x (/ y 2)) 1)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)))
✓	59.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
✓	74.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
▶	27.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	62.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 145 to 112 computations (22.8% saved)

series33.0ms (1.3%)

Memory

-20.7MiB live, 25.3MiB allocated; 4ms collecting garbage

Counts

23 → 99

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) y (- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) 1 (- x (/ y (+ (* x (/ y 2)) 1))) (/ y (+ (* x (/ y 2)) 1)) (/ 2 x) 2 (- x (/ y (+ (* x (/ y 2)) 1))) (/ y (+ (* x (/ y 2)) 1)) (+ (* x (/ y 2)) 1) (* (neg y) (- (* -1/2 x) (pow y -1))) (- (* -1/2 x) (pow y -1)) (* -1/2 x) (pow y -1) -1)
4.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) y (- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) 1 (- x (/ y (+ (* x (/ y 2)) 1))) (/ y (+ (* x (/ y 2)) 1)) (/ 2 x) 2 (- x (/ y (+ (* x (/ y 2)) 1))) (/ y (+ (* x (/ y 2)) 1)) (+ (* x (/ y 2)) 1) (* (neg y) (- (* -1/2 x) (pow y -1))) (- (* -1/2 x) (pow y -1)) (* -1/2 x) (pow y -1) -1)
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) y (- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) 1 (- x (/ y (+ (* x (/ y 2)) 1))) (/ y (+ (* x (/ y 2)) 1)) (/ 2 x) 2 (- x (/ y (+ (* x (/ y 2)) 1))) (/ y (+ (* x (/ y 2)) 1)) (+ (* x (/ y 2)) 1) (* (neg y) (- (* -1/2 x) (pow y -1))) (- (* -1/2 x) (pow y -1)) (* -1/2 x) (pow y -1) -1)
2.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) y (- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) 1 (- x (/ y (+ (* x (/ y 2)) 1))) (/ y (+ (* x (/ y 2)) 1)) (/ 2 x) 2 (- x (/ y (+ (* x (/ y 2)) 1))) (/ y (+ (* x (/ y 2)) 1)) (+ (* x (/ y 2)) 1) (* (neg y) (- (* -1/2 x) (pow y -1))) (- (* -1/2 x) (pow y -1)) (* -1/2 x) (pow y -1) -1)
2.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) y (- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) (* (+ (* -1/2 (* y x)) 1) y) (+ (* -1/2 (* y x)) 1) -1/2 (* y x) 1 (- x (/ y (+ (* x (/ y 2)) 1))) (/ y (+ (* x (/ y 2)) 1)) (/ 2 x) 2 (- x (/ y (+ (* x (/ y 2)) 1))) (/ y (+ (* x (/ y 2)) 1)) (+ (* x (/ y 2)) 1) (* (neg y) (- (* -1/2 x) (pow y -1))) (- (* -1/2 x) (pow y -1)) (* -1/2 x) (pow y -1) -1)

rewrite320.0ms (12.3%)

Memory

38.3MiB live, 228.8MiB allocated; 146ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	2598
0	406	2400
1	2118	2396
0	9430	2253

Stop Event

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

Counts

122 → 216

Calls

Call 1

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

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

eval22.0ms (0.8%)

Memory: -9.6MiB live, 37.0MiB allocated; 1ms collecting garbage
Compiler: Compiled 5 549 to 952 computations (82.8% saved)

prune7.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	175	10	185

Accuracy

100.0%

Counts

185 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ (* x (/ y 2)) 1) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))))))
▶	94.1%	(-.f64 x (/.f64 y #s(approx (+ (* x (/ y 2)) 1) (.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (pow y -1)) (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))))))
✓	62.3%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	62.4%	(-.f64 x #s(approx (/ y (+ (* x (/ y 2)) 1)) (/.f64 #s(literal 2 binary64) x)))
✓	65.5%	(-.f64 x #s(approx (/ y (+ (* x (/ y 2)) 1)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)))
✓	59.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
✓	74.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	27.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	62.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 178 to 137 computations (23% saved)

series26.0ms (1%)

Memory

-31.4MiB live, 16.0MiB allocated; 2ms collecting garbage

Counts

15 → 79

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	((- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) y (+ (* x (/ y 2)) 1) (* (neg y) (- (* -1/2 x) (pow y -1))) (neg y) (- (* -1/2 x) (pow y -1)) (neg (* (+ (pow (* y x) -1) 1/2) x)) (* (+ (pow (* y x) -1) 1/2) x) (+ (pow (* y x) -1) 1/2) (pow (* y x) -1) (* y x) -1 1/2)
2.0ms	y	@	-inf	((- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) y (+ (* x (/ y 2)) 1) (* (neg y) (- (* -1/2 x) (pow y -1))) (neg y) (- (* -1/2 x) (pow y -1)) (neg (* (+ (pow (* y x) -1) 1/2) x)) (* (+ (pow (* y x) -1) 1/2) x) (+ (pow (* y x) -1) 1/2) (pow (* y x) -1) (* y x) -1 1/2)
1.0ms	x	@	0	((- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) y (+ (* x (/ y 2)) 1) (* (neg y) (- (* -1/2 x) (pow y -1))) (neg y) (- (* -1/2 x) (pow y -1)) (neg (* (+ (pow (* y x) -1) 1/2) x)) (* (+ (pow (* y x) -1) 1/2) x) (+ (pow (* y x) -1) 1/2) (pow (* y x) -1) (* y x) -1 1/2)
1.0ms	x	@	inf	((- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) y (+ (* x (/ y 2)) 1) (* (neg y) (- (* -1/2 x) (pow y -1))) (neg y) (- (* -1/2 x) (pow y -1)) (neg (* (+ (pow (* y x) -1) 1/2) x)) (* (+ (pow (* y x) -1) 1/2) x) (+ (pow (* y x) -1) 1/2) (pow (* y x) -1) (* y x) -1 1/2)
1.0ms	y	@	inf	((- x (/ y (+ (* x (/ y 2)) 1))) x (/ y (+ (* x (/ y 2)) 1)) y (+ (* x (/ y 2)) 1) (* (neg y) (- (* -1/2 x) (pow y -1))) (neg y) (- (* -1/2 x) (pow y -1)) (neg (* (+ (pow (* y x) -1) 1/2) x)) (* (+ (pow (* y x) -1) 1/2) x) (+ (pow (* y x) -1) 1/2) (pow (* y x) -1) (* y x) -1 1/2)

rewrite183.0ms (7%)

Memory

26.1MiB live, 209.3MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	1975
0	357	1847
1	1974	1843
0	8987	1742

Stop Event

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

Counts

94 → 158

Calls

Call 1

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

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

eval37.0ms (1.4%)

Memory: -7.4MiB live, 46.3MiB allocated; 23ms collecting garbage
Compiler: Compiled 5 341 to 1 044 computations (80.5% saved)

prune7.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	142	10	152

Accuracy

100.0%

Counts

152 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ (* x (/ y 2)) 1) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))))))
✓	94.1%	(-.f64 x (/.f64 y #s(approx (+ (* x (/ y 2)) 1) (.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (pow y -1)) (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))))))
✓	62.3%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	62.4%	(-.f64 x #s(approx (/ y (+ (* x (/ y 2)) 1)) (/.f64 #s(literal 2 binary64) x)))
✓	65.5%	(-.f64 x #s(approx (/ y (+ (* x (/ y 2)) 1)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)))
✓	59.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
✓	74.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	27.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	62.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)

Compiler

Compiled 424 to 215 computations (49.3% saved)

regimes17.0ms (0.6%)

Memory

-17.4MiB live, 29.1MiB allocated; 7ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
4.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	x

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.3%)

Memory

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

Counts

8 → 3

Calls

Call 1

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

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
87.8%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
91.6%	3	`x`
92.3%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.3%)

Memory

-31.8MiB live, 13.8MiB allocated; 5ms 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:

5.0ms	y
2.0ms	x
2.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
78.3%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
87.7%	3	`x`
81.8%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB 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
65.6%	3	`y`
79.8%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.2%	1	`y`
62.2%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
62.2%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch30.0ms (1.1%)

Memory

6.1MiB live, 52.5MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.03136915394246e+57	1.48336916525649e+69
15.0ms	-2.2967598535739473e+75	-1.7454543536366723e+65

Samples

16.0ms

320×

valid

Compiler

Compiled 574 to 494 computations (13.9% saved)

Precisions

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

ival-div!: 5.0ms (58.3% of total)

ival-mult!: 2.0ms (23.3% of total)

ival-sub!: 1.0ms (11.7% of total)

ival-add!: 1.0ms (11.7% of total)

adjust: 0.0ms (0% of total)

bsearch24.0ms (0.9%)

Memory

-13.8MiB live, 36.7MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.0141131193664274e-22	1.5497187914671015e-21
14.0ms	-1974692.7576902946	-1101.0612994794524

Samples

9.0ms

224×

valid

Compiler

Compiled 378 to 322 computations (14.8% saved)

Precisions

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

ival-div!: 2.0ms (46.6% of total)

ival-add!: 1.0ms (23.3% of total)

ival-mult!: 1.0ms (23.3% of total)

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

adjust: 0.0ms (0% of total)

bsearch21.0ms (0.8%)

Memory

7.6MiB live, 54.1MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.018750375056306e-100	3.920379012388365e-100
15.0ms	-1.0922304687121622e-44	-1.2467682986128854e-64

Samples

11.0ms

224×

valid

Compiler

Compiled 392 to 336 computations (14.3% saved)

Precisions

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

ival-div!: 2.0ms (45.9% of total)

ival-add!: 1.0ms (22.9% of total)

ival-mult!: 1.0ms (22.9% of total)

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

adjust: 0.0ms (0% of total)

derivations209.0ms (8%)

Memory

-27.1MiB live, 217.1MiB allocated; 36ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 169 to 41 computations (75.7% saved)

preprocess33.0ms (1.3%)

Memory: 32.8MiB live, 76.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 360 to 100 computations (72.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze20.0ms (0.8%)

sample708.0ms (27.1%)

explain99.0ms (3.8%)

preprocess121.0ms (4.6%)

series10.0ms (0.4%)

rewrite301.0ms (11.5%)

eval31.0ms (1.2%)

prune6.0ms (0.2%)

series14.0ms (0.5%)

rewrite259.0ms (9.9%)

eval43.0ms (1.7%)

prune5.0ms (0.2%)

series33.0ms (1.3%)

rewrite320.0ms (12.3%)

eval22.0ms (0.8%)

prune7.0ms (0.3%)

series26.0ms (1%)

rewrite183.0ms (7%)

eval37.0ms (1.4%)

prune7.0ms (0.3%)

regimes17.0ms (0.6%)

regimes9.0ms (0.3%)

regimes9.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch30.0ms (1.1%)

bsearch24.0ms (0.9%)

bsearch21.0ms (0.8%)

derivations209.0ms (8%)

preprocess33.0ms (1.3%)

end0.0ms (0%)

Profiling