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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze24.0ms (0.4%)

Memory

-12.5MiB live, 39.5MiB allocated

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)

sample1.1s (18.4%)

Memory

13.9MiB live, 1 156.3MiB allocated

Samples

837.0ms	8 254×	0	valid
0.0ms	1×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 573.0ms

ival-div: 230.0ms (40.1% of total)

ival-mult: 204.0ms (35.6% of total)

ival-sub: 80.0ms (14% of total)

ival-add: 40.0ms (7% of total)

exact: 9.0ms (1.6% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 4.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain125.0ms (2%)

Memory

30.0MiB live, 313.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`	o/n	1	0
↳	`(*.f64 x y)`	overflow	39

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Total Time

33.29345703125

Average Time

0.1300525665283203

Samples

16.0ms

256×

valid

Compiler

Compiled 130 to 51 computations (60.8% saved)

Precisions

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

ival-div: 3.0ms (33.2% of total)

ival-mult: 3.0ms (33.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

preprocess60.0ms (1%)

Memory

-21.9MiB live, 96.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	57	61
2	121	57
3	253	55
4	541	55
5	888	55
6	995	55
7	1019	55
8	1029	55
9	1033	55
0	9	11
0	14	11
1	22	11
2	33	11
3	48	11
4	90	11
5	163	11
6	284	11
7	379	11
8	589	11
9	679	11
10	801	11
11	837	11
12	1000	11
13	1009	11
0	1009	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify39.0ms (0.6%)

Memory

-21.3MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
cost-diff	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	22	39
2	33	39
3	48	39
4	90	39
5	163	39
6	284	39
7	379	39
8	589	39
9	679	39
10	801	39
11	837	39
12	1000	39
13	1009	39
0	1009	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize25.0ms (0.4%)

Memory

-6.9MiB live, 32.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0.2068505450612322	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	9.019117928664208	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

15.0ms

256×

valid

Compiler

Compiled 80 to 20 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (37.1% of total)

ival-mult: 2.0ms (24.8% of total)

ival-sub: 1.0ms (12.4% of total)

ival-add: 1.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

5 → 47

Calls

Call 1

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

Outputs
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* x y)
(* x (+ (* 1/2 y) (/ 1 x)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ 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))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))

Calls

6 calls:

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

simplify159.0ms (2.6%)

Memory

32.4MiB live, 102.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	702
1	738	677
2	1940	654
3	6075	648
0	8423	614

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

Inputs
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* x y)
(* x (+ (* 1/2 y) (/ 1 x)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ 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))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))

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

rewrite279.0ms (4.5%)

Memory

-2.3MiB live, 199.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32

Stop Event

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

Counts

5 → 279

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (/.f64 y #s(literal -2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) y))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 (neg.f64 y) (/.f64 x #s(literal -2 binary64)))
(.f64 (neg.f64 y) (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 y (.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (fma.f64 #s(literal 1/4 binary64) (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 6 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (fma.f64 #s(literal 1/4 binary64) (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y))
(/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y))
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(neg.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x))) (log.f64 y)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 y x))))
(+.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 x) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval69.0ms (1.1%)

Memory: -23.2MiB live, 52.6MiB allocated
Compiler: Compiled 8 357 to 1 088 computations (87% saved)

prune8.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	298	7	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	299	7	306

Accuracy

100.0%

Counts

306 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	54.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)))
▶	61.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
▶	74.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	25.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 226 to 168 computations (25.7% saved)

simplify84.0ms (1.3%)

Memory

-8.8MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	26	144
0	40	144
1	66	144
2	101	144
3	178	144
4	367	144
5	699	141
6	1084	139
7	1416	139
8	1604	139
9	1736	139
10	1823	139
11	1927	139
12	1944	139
13	1953	139
14	1960	139
15	1961	139
0	1961	139

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (1.2%)

Memory

22.1MiB live, 63.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	0.0390625	(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
accuracy	24.45545257821406	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	29.18189749558313	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	16.04402074686602	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0	(neg.f64 y)
accuracy	47.70459406392836	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0.2029442950612322	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	9.019117928664208	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))

Samples

59.0ms

256×

valid

Compiler

Compiled 271 to 54 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 21.0ms (51.6% of total)

ival-mult: 9.0ms (22.1% of total)

ival-add: 5.0ms (12.3% of total)

ival-sub: 3.0ms (7.4% of total)

exact: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

series52.0ms (0.8%)

Memory

-26.9MiB live, 11.2MiB allocated

Counts

15 → 68

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* x y)
(- x y)
(/ 2 x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (- (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* 1/2 y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ 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))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (- (/ x y) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	x	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y))
2.0ms	y	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y))
1.0ms	y	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y))
1.0ms	x	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y))
1.0ms	x	@	0	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y))

simplify285.0ms (4.6%)

Memory

14.7MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	844
1	875	820
2	2370	795
3	7072	791
0	8290	739

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* x y)
(- x y)
(/ 2 x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (- (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* 1/2 y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ 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))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (- (/ x y) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))

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

rewrite322.0ms (5.2%)

Memory

8.7MiB live, 160.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	40	126
1	193	126
2	1203	126
0	8422	126

Stop Event

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

Counts

15 → 328

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 y (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)
(fma.f64 (neg.f64 y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 y (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x))))
(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) y))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) y))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y)) x #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -2 binary64)))

eval136.0ms (2.2%)

Memory: -11.0MiB live, 64.2MiB allocated
Compiler: Compiled 11 581 to 1 378 computations (88.1% saved)

prune8.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	360	4	364
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	362	9	371

Accuracy

100.0%

Counts

371 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	64.6%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
▶	99.9%	(-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	54.6%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)))
✓	61.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
✓	74.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	25.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	26.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 165 to 123 computations (25.5% saved)

simplify502.0ms (8.1%)

Memory

3.6MiB live, 120.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
cost-diff	0	#s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
cost-diff	0	(/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
cost-diff	0	(-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
cost-diff	448	(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
cost-diff	576	(/.f64 y #s(literal -1 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)))
cost-diff	128	(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	252
0	66	245
1	125	241
2	242	237
3	566	236
4	1753	236
5	4533	236
6	6056	236
7	6455	236
8	6723	236
9	6873	236
10	6903	236
11	7032	236
12	7159	236
13	7197	236
14	7197	236
15	7197	236
16	7539	236
0	8123	232

Stop Event

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

Calls

Call 1

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

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

localize461.0ms (7.4%)

Memory

-10.6MiB live, 149.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
accuracy	0.2068505450612322	(.f64 #s(literal 1/2 binary64) (.f64 y x))
accuracy	9.019117928664208	(/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
accuracy	29.04957132575549	#s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.00390625	(-.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
accuracy	0.20781797718555228	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
accuracy	8.732835716985736	(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
accuracy	0	(neg.f64 y)
accuracy	0.05078125	(fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	3.3621808332052736	(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
accuracy	26.853841529742823	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)))
accuracy	0.0625	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
accuracy	0.2029442950612322	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
accuracy	23.16765943100436	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y))
accuracy	24.45545257821406	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Samples

352.0ms

256×

valid

Compiler

Compiled 454 to 90 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-div: 238.0ms (75.3% of total)

ival-mult: 63.0ms (19.9% of total)

ival-add: 10.0ms (3.2% of total)

ival-sub: 4.0ms (1.3% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series19.0ms (0.3%)

Memory

-9.6MiB live, 27.4MiB allocated

Counts

18 → 104

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
-1
(- (* 1/2 (* x y)) 1)
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
1
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* 1/2 x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (- (* 1/2 y) (/ 1 x)))
(* -1/4 (* (pow x 2) (pow y 3)))
(* (pow x 2) (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)))))
(* -1/4 (* x (pow y 3)))
(* x (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 1/2 (pow y 2)))) (/ y x)) x)) (* -1/4 (pow y 3))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/2 (pow y 2))) x)) (* 1/4 (pow y 3)))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (- (* 1/2 (* x y)) 1))
(+ 1 (* (pow y 2) (+ 1/2 (* -1/4 (* x y)))))
(pow y 2)
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ 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))))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* (pow y 3) (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y))))
(* (pow y 3) (- (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y))) (/ 1 (pow y 2))))
(* (pow y 3) (- (+ (* -1/4 (pow x 2)) (+ (* 1/2 (/ x y)) (/ x (pow y 3)))) (/ 1 (pow y 2))))
(* (pow y 3) (+ (* -1/4 x) (* 1/2 (/ 1 y))))
(* (pow y 3) (+ (* -1/4 x) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 x) (/ 1 y)) y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (- (* 1/4 x) (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) y)) (* 1/4 x))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (+ (* (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) x) (neg y)) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (* y y) (/ y -1) (* (/ y -1) (/ -1 (+ (* (* 1/2 x) y) 1))) (- x (* (/ y -1) (/ -1 (+ (* (* 1/2 x) y) 1)))) (/ -1 (+ (* (* 1/2 x) y) 1)) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* 1/2 (* y x)) (neg y) (* 1/2 x))
2.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (+ (* (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) x) (neg y)) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (* y y) (/ y -1) (* (/ y -1) (/ -1 (+ (* (* 1/2 x) y) 1))) (- x (* (/ y -1) (/ -1 (+ (* (* 1/2 x) y) 1)))) (/ -1 (+ (* (* 1/2 x) y) 1)) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* 1/2 (* y x)) (neg y) (* 1/2 x))
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (+ (* (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) x) (neg y)) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (* y y) (/ y -1) (* (/ y -1) (/ -1 (+ (* (* 1/2 x) y) 1))) (- x (* (/ y -1) (/ -1 (+ (* (* 1/2 x) y) 1)))) (/ -1 (+ (* (* 1/2 x) y) 1)) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* 1/2 (* y x)) (neg y) (* 1/2 x))
2.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (+ (* (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) x) (neg y)) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (* y y) (/ y -1) (* (/ y -1) (/ -1 (+ (* (* 1/2 x) y) 1))) (- x (* (/ y -1) (/ -1 (+ (* (* 1/2 x) y) 1)))) (/ -1 (+ (* (* 1/2 x) y) 1)) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* 1/2 (* y x)) (neg y) (* 1/2 x))
2.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (+ (* (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) x) (neg y)) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (* y y) (/ y -1) (* (/ y -1) (/ -1 (+ (* (* 1/2 x) y) 1))) (- x (* (/ y -1) (/ -1 (+ (* (* 1/2 x) y) 1)))) (/ -1 (+ (* (* 1/2 x) y) 1)) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* 1/2 (* y x)) (neg y) (* 1/2 x))

simplify314.0ms (5.1%)

Memory

12.1MiB live, 206.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	1597
1	1367	1519
2	3969	1491
0	8082	1400

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 102

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
-1
(- (* 1/2 (* x y)) 1)
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
1
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* 1/2 x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (- (* 1/2 y) (/ 1 x)))
(* -1/4 (* (pow x 2) (pow y 3)))
(* (pow x 2) (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)))))
(* -1/4 (* x (pow y 3)))
(* x (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 1/2 (pow y 2)))) (/ y x)) x)) (* -1/4 (pow y 3))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/2 (pow y 2))) x)) (* 1/4 (pow y 3)))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (- (* 1/2 (* x y)) 1))
(+ 1 (* (pow y 2) (+ 1/2 (* -1/4 (* x y)))))
(pow y 2)
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ 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))))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* (pow y 3) (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y))))
(* (pow y 3) (- (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y))) (/ 1 (pow y 2))))
(* (pow y 3) (- (+ (* -1/4 (pow x 2)) (+ (* 1/2 (/ x y)) (/ x (pow y 3)))) (/ 1 (pow y 2))))
(* (pow y 3) (+ (* -1/4 x) (* 1/2 (/ 1 y))))
(* (pow y 3) (+ (* -1/4 x) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 x) (/ 1 y)) y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (- (* 1/4 x) (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) y)) (* 1/4 x))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))

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

rewrite223.0ms (3.6%)

Memory

-13.5MiB live, 272.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	214
0	66	206
1	333	198
2	2269	198
0	8144	196

Stop Event

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

Counts

18 → 529

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y)))
#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 y (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal -1 binary64))))
(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64))))
(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y)
(.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y)) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y))
(fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1 binary64)) (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(fma.f64 #s(literal -1 binary64) y (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y))
(fma.f64 #s(literal -1 binary64) y (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y))
(fma.f64 y #s(literal -1 binary64) (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y) (neg.f64 y))
(+.f64 (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 y))
(+.f64 (neg.f64 y) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) y))
(+.f64 (neg.f64 y) (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)))
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(fma.f64 y (neg.f64 (pow.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (neg.f64 y) #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))) (/.f64 (pow.f64 (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal 2 binary64)) (-.f64 x (/.f64 (neg.f64 y) #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) x)) (/.f64 (pow.f64 (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal 2 binary64)) (+.f64 (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (+.f64 (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) x) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (+.f64 (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) x) (*.f64 x x))))
(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) x)
(+.f64 x (/.f64 (neg.f64 y) #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 y #s(literal 1 binary64)) (pow.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64)) y)
(.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (neg.f64 y) (pow.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 #s(literal 1 binary64) (/.f64 y #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 y (pow.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (.f64 y #s(literal 1 binary64)))) (pow.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))) (.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (neg.f64 y))) (.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (neg.f64 (neg.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (neg.f64 y))) (.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y)) (.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal -1 binary64))) (.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (/.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y))) (.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal 1 binary64))) (.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (neg.f64 (/.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) y)) (pow.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64)))
(/.f64 (.f64 y #s(literal 1 binary64)) (neg.f64 (neg.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(/.f64 (.f64 y #s(literal 1 binary64)) #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y))
(/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (/.f64 (neg.f64 y) #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (/.f64 (neg.f64 y) #s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) y)) #s(literal -1 binary64)))
#s(approx (+ (* (* y x) 1/2) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (neg.f64 y) x) #s(literal -1/2 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y x) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 y x) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 y x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) x)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) x) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 y #s(literal -1 binary64))
(neg.f64 (*.f64 y #s(literal 1 binary64)))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

eval79.0ms (1.3%)

Memory: 11.5MiB live, 203.9MiB allocated
Compiler: Compiled 18 631 to 2 206 computations (88.2% saved)

prune31.0ms (0.5%)

Memory

15.2MiB live, 69.7MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	577	2	579
Fresh	0	0	0
Picked	2	2	4
Done	0	5	5
Total	579	9	588

Accuracy

100.0%

Counts

588 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	64.6%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	58.4%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y)))
✓	61.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
✓	74.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	25.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	26.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 171 to 126 computations (26.3% saved)

simplify249.0ms (4%)

Memory

-28.7MiB live, 87.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x)
cost-diff	0	(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
cost-diff	0	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	128
0	39	127
1	78	126
2	137	126
3	236	126
4	316	126
5	495	126
6	751	126
7	1003	126
8	1643	126
9	2100	126
10	2401	126
11	2630	126
12	2780	126
13	2807	126
14	2812	126
15	2840	126
16	2852	126
17	2864	126
18	2893	126
19	2893	126
0	2893	120

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize131.0ms (2.1%)

Memory

13.8MiB live, 94.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.02734375	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x)
accuracy	0.20781797718555228	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
accuracy	0	(neg.f64 y)
accuracy	3.3621808332052736	(fma.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
accuracy	19.823539439603508	#s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	26.853841529742823	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y)))

Samples

118.0ms

256×

valid

Compiler

Compiled 225 to 59 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 81.0ms (84.3% of total)

ival-add: 8.0ms (8.3% of total)

ival-div: 3.0ms (3.1% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series7.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

9 → 72

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
-1
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
1
(+ 1 (* 1/2 (* x y)))
(* 1/2 x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* -1/4 (* (pow x 2) (pow y 3)))
(* (pow x 2) (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)))))
(* -1/4 (* x (pow y 3)))
(* x (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))))
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 1/2 (pow y 2)))) (/ y x)) x)) (* -1/4 (pow y 3))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/2 (pow y 2))) x)) (* 1/4 (pow y 3)))))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(+ 1 (* (pow y 2) (+ 1/2 (* -1/4 (* x y)))))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ 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))))))
(* (pow y 3) (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y))))
(* (pow y 3) (- (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y))) (/ 1 (pow y 2))))
(* (pow y 3) (- (+ (* -1/4 (pow x 2)) (+ (* 1/2 (/ x y)) (/ x (pow y 3)))) (/ 1 (pow y 2))))
(* (pow y 3) (+ (* -1/4 x) (* 1/2 (/ 1 y))))
(* (pow y 3) (+ (* -1/4 x) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 x) (/ 1 y)) y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (- (* 1/4 x) (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) y)) (* 1/4 x))))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))

Calls

6 calls:

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

simplify212.0ms (3.4%)

Memory

8.8MiB live, 165.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	1154
1	1023	1104
2	3053	1082
3	7954	1079
0	8781	1013

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
-1
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
1
(+ 1 (* 1/2 (* x y)))
(* 1/2 x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* -1/4 (* (pow x 2) (pow y 3)))
(* (pow x 2) (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x)))))
(* -1/4 (* x (pow y 3)))
(* x (+ (* -1/4 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))))
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 1/2 (pow y 2)))) (/ y x)) x)) (* -1/4 (pow y 3))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/2 (pow y 2))) x)) (* 1/4 (pow y 3)))))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(+ 1 (* (pow y 2) (+ 1/2 (* -1/4 (* x y)))))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ 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))))))
(* (pow y 3) (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y))))
(* (pow y 3) (- (+ (* -1/4 (pow x 2)) (* 1/2 (/ x y))) (/ 1 (pow y 2))))
(* (pow y 3) (- (+ (* -1/4 (pow x 2)) (+ (* 1/2 (/ x y)) (/ x (pow y 3)))) (/ 1 (pow y 2))))
(* (pow y 3) (+ (* -1/4 x) (* 1/2 (/ 1 y))))
(* (pow y 3) (+ (* -1/4 x) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 x) (/ 1 y)) y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* 1/4 (pow x 2)))))
(* -1 (* (pow y 3) (- (* 1/4 x) (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) y)) (* 1/4 x))))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))

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

rewrite327.0ms (5.2%)

Memory

-48.6MiB live, 289.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	116
0	39	115
1	190	114
2	1335	114
0	8391	108

Stop Event

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

Counts

9 → 228

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y)))
(.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 #s(approx (+ ( (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) #s(literal 2 binary64)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x y))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x)) (pow.f64 (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) #s(literal 2 binary64)) (.f64 y y)) (pow.f64 (fma.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x y) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 (pow.f64 (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) #s(literal 2 binary64)) (.f64 y (.f64 #s(approx (+ ( (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x))))))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x)) (pow.f64 (.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y) #s(literal -2 binary64)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y) #s(literal -2 binary64)) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y) #s(literal -3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y) #s(literal -2 binary64)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(pow.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
(neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))))))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))

eval43.0ms (0.7%)

Memory: 14.7MiB live, 84.5MiB allocated
Compiler: Compiled 12 125 to 1 148 computations (90.5% saved)

prune13.0ms (0.2%)

Memory

-21.7MiB live, 28.0MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	284	9	293

Accuracy

100.0%

Counts

293 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	64.6%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	58.4%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 #s(approx (+ (* (* y y) (+ (* (* -1/4 x) y) 1/2)) 1) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y)))
✓	61.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
✓	74.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	25.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	26.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 432 to 209 computations (51.6% saved)

regimes15.0ms (0.2%)

Memory

35.3MiB live, 35.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes12.0ms (0.2%)

Memory

-11.8MiB live, 25.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

6.0ms	(-.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
89.9%	3	`x`
93.2%	3	`y`
85.7%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
74.9%	1	`x`
74.9%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-23.4MiB live, 13.8MiB allocated

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)))) (neg.f64 y))

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

Calls

3 calls:

3.0ms	x
1.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	y

Results

Accuracy	Segments	Branch
25.5%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
25.5%	1	`x`
25.5%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch33.0ms (0.5%)

Memory

28.0MiB live, 64.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7385154895279895e+83	3.761478547638076e+88
14.0ms	-5.759291413852728e+159	-2.177842897490031e+145

Samples

19.0ms

304×

valid

Compiler

Compiled 584 to 489 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (41.4% of total)

ival-div: 4.0ms (33.1% of total)

ival-sub: 1.0ms (8.3% of total)

ival-add: 1.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify34.0ms (0.5%)

Memory

5.0MiB live, 83.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	92
1	39	92
2	51	92
3	58	92
4	62	92
5	63	92

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -61999999999999997659795976820248100239017288328638203398253850655806929772195852154122714716661932556054641693106167312786276544603273792713654272 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 4400000000000000174803000563618461935224282943036889500043631018273288885305439730794496 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -61999999999999997659795976820248100239017288328638203398253850655806929772195852154122714716661932556054641693106167312786276544603273792713654272 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 4400000000000000174803000563618461935224282943036889500043631018273288885305439730794496 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

soundness578.0ms (9.3%)

Memory

-17.0MiB live, 310.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	702
1	738	677
2	1940	654
3	6075	648
0	8423	614
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32

Stop Event

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

Compiler

Compiled 126 to 57 computations (54.8% saved)

preprocess30.0ms (0.5%)

Memory: -17.4MiB live, 54.7MiB allocated
Compiler: Compiled 206 to 76 computations (63.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (0.4%)

sample1.1s (18.4%)

explain125.0ms (2%)

preprocess60.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify39.0ms (0.6%)

localize25.0ms (0.4%)

series9.0ms (0.1%)

simplify159.0ms (2.6%)

rewrite279.0ms (4.5%)

eval69.0ms (1.1%)

prune8.0ms (0.1%)

simplify84.0ms (1.3%)

localize73.0ms (1.2%)

series52.0ms (0.8%)

simplify285.0ms (4.6%)

rewrite322.0ms (5.2%)

eval136.0ms (2.2%)

prune8.0ms (0.1%)

simplify502.0ms (8.1%)

localize461.0ms (7.4%)

series19.0ms (0.3%)

simplify314.0ms (5.1%)

rewrite223.0ms (3.6%)

eval79.0ms (1.3%)

prune31.0ms (0.5%)

simplify249.0ms (4%)

localize131.0ms (2.1%)

series7.0ms (0.1%)

simplify212.0ms (3.4%)

rewrite327.0ms (5.2%)

eval43.0ms (0.7%)

prune13.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch33.0ms (0.5%)

simplify34.0ms (0.5%)

soundness578.0ms (9.3%)

preprocess30.0ms (0.5%)

end0.0ms (0%)

Profiling