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

start0.0ms (0%)

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

analyze23.0ms (0.4%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.3s (24%)

Memory

30.5MiB live, 1 619.2MiB allocated; 328ms collecting garbage

Samples

883.0ms	8 255×	0	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 501.0ms

ival-div: 217.0ms (43.4% of total)

ival-mult: 125.0ms (25% of total)

ival-add: 82.0ms (16.4% of total)

ival-sub: 52.0ms (10.4% of total)

exact: 11.0ms (2.2% of total)

ival-true: 7.0ms (1.4% of total)

ival-assert: 4.0ms (0.8% of total)

adjust: 3.0ms (0.6% of total)

Bogosity

explain121.0ms (2.3%)

Memory

14.1MiB live, 258.8MiB allocated; 34ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`	n/o	1	0
↳	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`	overflow	37
↳	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`	overflow	37
↳	`(*.f64 x y)`	overflow	37

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

Samples

44.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 12.0ms (42.4% of total)

ival-div: 10.0ms (35.3% of total)

ival-sub: 3.0ms (10.6% of total)

ival-add: 3.0ms (10.6% of total)

exact: 1.0ms (3.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess27.0ms (0.5%)

Memory

-9.2MiB live, 37.2MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	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 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.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)

simplify6.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	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 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
#s(literal 2 binary64)

localize51.0ms (0.9%)

Memory

0.4MiB live, 90.7MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	8.729858021206653	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

43.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 27.0ms (81% of total)

ival-div: 3.0ms (9% of total)

ival-sub: 1.0ms (3% of total)

ival-add: 1.0ms (3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series45.0ms (0.9%)

Memory

-37.0MiB live, 19.0MiB allocated; 53ms collecting garbage

Counts

5 → 47

Calls

Call 1

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

Outputs
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)))))
(* 1/2 (* x y))
(* 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
38.0ms	y	@	inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	x	@	inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	y	@	0	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	x	@	0	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	y	@	-inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))

simplify186.0ms (3.5%)

Memory

49.5MiB live, 234.4MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	709
1	711	686
2	2133	661
0	8530	634

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

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

rewrite166.0ms (3.1%)

Memory

2.1MiB live, 278.9MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	54	35
2	351	35
3	4826	35
0	8473	32

Stop Event

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

Counts

5 → 197

Calls

Call 1

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

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

eval38.0ms (0.7%)

Memory: -23.1MiB live, 124.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 6 750 to 995 computations (85.3% saved)

prune8.0ms (0.2%)

Memory

-13.5MiB live, 32.3MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	227	6	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	228	6	234

Accuracy

100.0%

Counts

234 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.4%	(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 x (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) x)))
▶	100.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
▶	64.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	65.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
▶	76.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	23.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 270 to 160 computations (40.7% saved)

simplify11.0ms (0.2%)

Memory

36.2MiB live, 36.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize136.0ms (2.6%)

Memory

-51.3MiB live, 117.7MiB allocated; 93ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.01171875	(fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)
accuracy	22.29279971771422	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
accuracy	0.0	(/.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	31.026120367976542	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	15.142239273322312	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0.0	(neg.f64 y)
accuracy	49.095750553452	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
accuracy	8.729858021206653	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))

Samples

48.0ms

256×

valid

Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-add: 12.0ms (36% of total)

ival-mult: 10.0ms (30% of total)

ival-div: 5.0ms (15% of total)

ival-sub: 4.0ms (12% of total)

ival-neg: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

17 → 68

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
#s(approx (+ 1 (/ (* x y) 2)) (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))
#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 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
(fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)
(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y 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)
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)
(/ 2 x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* 1/2 x)
(* x y)
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)
(* 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)))))
(- 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
3.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- 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)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- 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)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
2.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- 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)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
1.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- 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)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
1.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- 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)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))

simplify182.0ms (3.4%)

Memory

-21.4MiB live, 161.7MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	896
1	853	870
2	2673	843
0	8590	803

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

rewrite244.0ms (4.6%)

Memory

24.8MiB live, 305.8MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	169
0	41	169
1	159	169
2	1022	169
0	8392	161

Stop Event

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

Counts

17 → 220

Calls

Call 1

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

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

eval68.0ms (1.3%)

Memory: 3.0MiB live, 146.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 13 472 to 1 332 computations (90.1% saved)

prune6.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	271	1	272
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	272	6	278

Accuracy

100.0%

Counts

278 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.4%	(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 x (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) x)))
✓	100.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	64.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	65.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
✓	76.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	23.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 134 to 79 computations (41% saved)

simplify185.0ms (3.5%)

Memory

-49.2MiB live, 193.5MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))))
cost-diff	26	(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 x (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) x)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	213
0	46	212
1	75	212
2	175	212
3	634	199
4	2880	186
5	7883	186
0	8028	186

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (1.6%)

Memory

46.3MiB live, 140.6MiB allocated; 19ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.10384750976844202	(pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))
accuracy	7.721511504575397	(/.f64 (neg.f64 (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) x))
accuracy	8.729858021206653	(/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
accuracy	22.77284932994195	(/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
accuracy	22.29279971771422	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))

Samples

68.0ms

256×

valid

Compiler

Compiled 223 to 32 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 13.0ms (28.5% of total)

ival-add: 12.0ms (26.3% of total)

ival-mult: 12.0ms (26.3% of total)

ival-sub: 4.0ms (8.8% of total)

ival-pow2: 3.0ms (6.6% of total)

exact: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

series41.0ms (0.8%)

Memory

-19.2MiB live, 69.8MiB allocated; 14ms collecting garbage

Counts

11 → 141

Calls

Call 1

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

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
(- (* 1/2 (* x y)) 1)
(* x y)
(+ (* -1 y) (* -1 (* x (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (+ (/ 1 y) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* x (+ 1 (+ (* -1 (/ (* (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)) (+ (* -1 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2))) (+ (* -1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- 1 (* 1/2 (pow y 2))))) (+ (* 1/4 (pow y 4)) (/ (* (+ (* 1/2 (pow y 3)) (* y (- 1 (* 1/2 (pow y 2))))) (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) y)))))))) (+ (* y (- 1 (* 1/2 (pow y 2)))) (+ (/ 1 y) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)))))))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* -1 (/ x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (* x (- (* -1 (* x (+ 1/4 (/ 1 (pow y 4))))) (/ 1 y))) (/ 1 (pow y 2))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))) (pow y 3))) (+ (* -1/4 y) (+ (* 1/4 y) (+ (* y (+ 1/4 (/ 1 (pow y 4)))) (/ 1 (pow y 3))))))))) (+ 1/4 (/ 1 (pow y 4))))) (/ 1 y))) (/ 1 (pow y 2))))
(pow x 2)
(* -1 (pow y 2))
(- (* x (pow y 3)) (pow y 2))
(- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))
(- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (+ (* 1/4 (pow y 4)) (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5)))))))) (pow y 3))) (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)))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* x (+ (* -1 (/ (* (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)) (+ (* -1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- 1 (* 1/2 (pow y 2))))) (+ (* 1/4 (pow y 4)) (/ (* (+ (* 1/2 (pow y 3)) (* y (- 1 (* 1/2 (pow y 2))))) (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) y)))))) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))))))))
(pow y 2)
(+ (* -1 (* x (pow y 3))) (pow y 2))
(+ (* x (- (* -1 (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5))))) (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))
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 y))
(* x (- (* 1/2 y) (/ 1 x)))
1
(+ 1 (* 4 (/ 1 (pow x 4))))
(- (+ 1 (* 4 (/ 1 (pow x 4)))) (/ 16 (* (pow x 5) y)))
(- (+ 1 (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))) (* 16 (/ 1 (* (pow x 5) y))))
(* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (* 16 (/ 1 (* (pow x 5) y)))) (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))))
(/ 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)
(/ -4 (pow x 3))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 3))
(/ (- (+ (* -1 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (pow x 2))) (/ 16 (* x y))) 4) (pow x 3))
(/ (- (+ (* -64 (/ (+ 1 (* 1/2 (pow y 2))) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (pow x 2))) (+ (* 4 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (* (pow x 3) y))) (+ (* 16 (/ (+ (* -1 y) (* 2 y)) (* (pow x 3) (pow y 2)))) (/ 16 (* x y)))))) 4) (pow x 3))
(/ 4 (pow x 2))
(/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 2))
(/ (- (+ 4 (/ 48 (* (pow x 2) (pow y 2)))) (/ 16 (* x y))) (pow x 2))
(/ (- (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y)))) (pow x 2))
(* -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 y) (/ 1 x))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ 4 (* -1 (- 4 (* 8 (/ 1 (pow y 2)))))) x)) (* 4 (/ 1 y))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+ 1 (+ (* -1 (/ (- (* 16 (/ 1 y)) (* 48 (/ 1 (* x (pow y 2))))) (pow x 5))) (* 4 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) (pow x 5)))) (* 4 (/ 1 (pow x 4)))))
(* -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 (/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 3)))
(* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 16 (/ (- (* -1/2 (pow y 2)) 1) (pow y 2))) (* 64 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x))) (pow x 3)))
(* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (/ (+ (* 16 (/ (- (* -1/2 (pow y 2)) 1) (pow y 2))) (* 64 (/ 1 (pow y 2)))) y)) (+ (* 16 (/ (+ (* -1 y) (* 2 y)) (pow y 2))) (* 64 (/ (- (* -1/2 (pow y 2)) 1) (pow y 3))))) x)) (+ (* 16 (/ (- (* -1/2 (pow y 2)) 1) (pow y 2))) (* 64 (/ 1 (pow y 2))))) x)) (* 16 (/ 1 y))) x))) (pow x 3)))
(/ (+ 4 (* -1 (/ (- (* 16 (/ 1 y)) (* 48 (/ 1 (* x (pow y 2))))) x))) (pow x 2))
(/ (+ 4 (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow y 2))) (* 128 (/ 1 (* x (pow y 3))))) x)) (* 16 (/ 1 y))) x))) (pow x 2))
(+ 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) (pow x 2)))
(+ 1 (* (pow y 2) (+ (* -1 (/ y x)) (/ 1 (pow x 2)))))
(+ 1 (* (pow y 2) (+ (* y (- (* y (+ 3/4 (/ 1 (pow x 4)))) (/ 1 x))) (/ 1 (pow x 2)))))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* (pow y 2) (- (* x y) 1)) (pow x 2))
(+ (* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))) 1)) (pow x 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)))))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (* y (+ 1 (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (- (* y (+ 1 (+ (* y (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ 1 (pow x 2))) x)) (+ (* 1/4 x) (* 1/2 (/ 1 x))))) (/ 1 (pow x 2))))) (/ 1 x)))
(* (pow y 2) (- (* y (+ 1 (+ (* y (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ 1 (pow x 2))) x)) (+ (* 1/4 x) (+ (* 1/2 (/ 1 x)) (* y (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ x (+ (* -1/2 x) (* 1/4 (pow x 3))))) x)) (* -1 (/ (* (+ 1 (pow x 2)) (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ 1 (pow x 2))) x)) (+ (* 1/4 x) (* 1/2 (/ 1 x))))) x)))))))) (/ 1 (pow x 2))))) (/ 1 x)))
(* (pow y 2) (+ 1 (* -1 (* x y))))
(* (pow y 2) (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))
(* (pow y 2) (+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))
(- 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))))))
(* 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)))
(- (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))))))
(- (+ (* -64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 16 (/ (- x (* 2 (/ 1 x))) (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 16 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 3) (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (* 8 (/ 1 (* x (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))))))
(- (+ (* -64 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 5) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* -64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* -4 (/ (* (+ (* -64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (- (* x (+ x (* 2 (/ 1 x)))) 1)) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* -48 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 4) (* (pow y 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (+ (* -16 (/ (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))) (* (pow x 3) (* (pow y 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 16 (/ (- x (* 2 (/ 1 x))) (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 16 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 3) (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (+ (* 128 (/ (- x (* 2 (/ 1 x))) (* (pow x 3) (* (pow y 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* 8 (/ 1 (* x (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))))))))))
(/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))
(- (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))) (* 16 (/ 1 (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))))
(- (+ (* 48 (/ 1 (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 256 (/ 1 (* (pow x 4) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (/ 16 (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))))
(- (+ (* -1 (/ (+ (* 16 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (+ (* 128 (/ 1 (* (pow x 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 768 (/ 1 (* (pow x 5) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3)))))) (pow y 3))) (+ (* 48 (/ 1 (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 256 (/ 1 (* (pow x 4) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (/ 16 (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))))
(- (pow x 2) (* 4 (/ 1 (pow x 2))))
(- (+ (* 16 (/ 1 (* (pow x 3) y))) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (/ 16 (* (pow x 3) y)) (pow x 2)) (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))))
(- (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (+ (/ 16 (* (pow x 3) y)) (pow x 2))) (+ (* 4 (/ 1 (pow x 2))) (* 48 (/ 1 (* (pow x 4) (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))))
(/ -4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))
(- (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
(- (+ (* -1 (/ (+ (* 4 (/ (* (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) (- (* x (+ x (* 2 (/ 1 x)))) 1)) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 64 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 5) (pow (+ x (* 2 (/ 1 x))) 3))))) (pow y 3))) (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) (+ (* -16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
(- (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (* (pow x 3) y))))
(- (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))) (/ 16 (* (pow x 3) y)))
(- (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) 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 (/ (- (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2)))) (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (+ (* -1 (/ (- (+ (* -64 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 5) (pow (+ x (* 2 (/ 1 x))) 3)))) (* -4 (/ (* (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (+ (* -64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))))) (* (pow x 2) (+ x (* 2 (/ 1 x))))))) (+ (* -128 (/ (- x (* 2 (/ 1 x))) (* (pow x 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 16 (/ 1 (* (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (+ (* 16 (/ (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 48 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 4) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))))) y)) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) y)) (* 16 (/ 1 (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) y)) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 768 (/ 1 (* (pow x 5) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* -16 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3)))))) y)) (* 16 (/ 1 (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) y)) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
(- (+ (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(+ (* -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)))
(- (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) y)) (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 5) (* y (pow (+ x (* 2 (/ 1 x))) 3))))))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) y)) (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(+ (* -1 (/ (- (* 16 (/ 1 (pow x 3))) (* 48 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow x 4))) (* 128 (/ 1 (* (pow x 5) y)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (+ (* (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (- x (/ y (+ (* (/ x 2) y) 1)))) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x))) (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (/ y (+ (* (/ x 2) y) 1)) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x)) (pow (/ y (+ (* (/ x 2) y) 1)) 2))
9.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (+ (* (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (- x (/ y (+ (* (/ x 2) y) 1)))) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x))) (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (/ y (+ (* (/ x 2) y) 1)) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x)) (pow (/ y (+ (* (/ x 2) y) 1)) 2))
8.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (+ (* (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (- x (/ y (+ (* (/ x 2) y) 1)))) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x))) (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (/ y (+ (* (/ x 2) y) 1)) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x)) (pow (/ y (+ (* (/ x 2) y) 1)) 2))
5.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (+ (* (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (- x (/ y (+ (* (/ x 2) y) 1)))) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x))) (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (/ y (+ (* (/ x 2) y) 1)) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x)) (pow (/ y (+ (* (/ x 2) y) 1)) 2))
4.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (+ (* (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (- x (/ y (+ (* (/ x 2) y) 1)))) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x))) (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (/ y (+ (* (/ x 2) y) 1)) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x)) (pow (/ y (+ (* (/ x 2) y) 1)) 2))

simplify224.0ms (4.2%)

Memory

12.6MiB live, 343.6MiB allocated; 65ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	944	5638
1	3222	5598
0	8606	5380

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 139

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
(- (* 1/2 (* x y)) 1)
(* x y)
(+ (* -1 y) (* -1 (* x (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (+ (/ 1 y) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* x (+ 1 (+ (* -1 (/ (* (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)) (+ (* -1 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2))) (+ (* -1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- 1 (* 1/2 (pow y 2))))) (+ (* 1/4 (pow y 4)) (/ (* (+ (* 1/2 (pow y 3)) (* y (- 1 (* 1/2 (pow y 2))))) (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) y)))))))) (+ (* y (- 1 (* 1/2 (pow y 2)))) (+ (/ 1 y) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)))))))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* -1 (/ x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (* x (- (* -1 (* x (+ 1/4 (/ 1 (pow y 4))))) (/ 1 y))) (/ 1 (pow y 2))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))) (pow y 3))) (+ (* -1/4 y) (+ (* 1/4 y) (+ (* y (+ 1/4 (/ 1 (pow y 4)))) (/ 1 (pow y 3))))))))) (+ 1/4 (/ 1 (pow y 4))))) (/ 1 y))) (/ 1 (pow y 2))))
(pow x 2)
(* -1 (pow y 2))
(- (* x (pow y 3)) (pow y 2))
(- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))
(- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (+ (* 1/4 (pow y 4)) (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5)))))))) (pow y 3))) (pow y 2))
y
(+ y (* -1/2 (* x (pow y 2))))
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1
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(- (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) y)) (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 5) (* y (pow (+ x (* 2 (/ 1 x))) 3))))))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) y)) (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(+ (* -1 (/ (- (* 16 (/ 1 (pow x 3))) (* 48 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow x 4))) (* 128 (/ 1 (* (pow x 5) y)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 (+.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (.f64 (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) y)
(+ (* -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
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(+ (* -1 y) (* -1 (* x (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))))))
(neg.f64 (fma.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x y))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (+ (/ 1 y) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y (/.f64 (fma.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) y))) x (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))))) x (neg.f64 y))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* x (+ 1 (+ (* -1 (/ (* (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)) (+ (* -1 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2))) (+ (* -1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- 1 (* 1/2 (pow y 2))))) (+ (* 1/4 (pow y 4)) (/ (* (+ (* 1/2 (pow y 3)) (* y (- 1 (* 1/2 (pow y 2))))) (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) y)))))))) (+ (* y (- 1 (* 1/2 (pow y 2)))) (+ (/ 1 y) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)))))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (fma.f64 (+.f64 (+.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y)))) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 y y)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) y) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))))) #s(literal 1 binary64)) x (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y (/.f64 (fma.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) y)))) x (neg.f64 (-.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))))) x (neg.f64 y))
(* -1 (/ (pow x 2) (pow y 2)))
(/.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(* (pow x 2) (- (* -1 (/ x y)) (/ 1 (pow y 2))))
(.f64 (-.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* x (- (* -1 (* x (+ 1/4 (/ 1 (pow y 4))))) (/ 1 y))) (/ 1 (pow y 2))))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) y)) x) (/.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))) (pow y 3))) (+ (* -1/4 y) (+ (* 1/4 y) (+ (* y (+ 1/4 (/ 1 (pow y 4)))) (/ 1 (pow y 3))))))))) (+ 1/4 (/ 1 (pow y 4))))) (/ 1 y))) (/ 1 (pow y 2))))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 y (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 #s(literal -1/4 binary64) y (fma.f64 #s(literal 1/4 binary64) y (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) y (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) x) (/.f64 #s(literal 1 binary64) y)) x) (/.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- (* x (pow y 3)) (pow y 2))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) x (*.f64 (neg.f64 y) y))
(- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64) #s(literal 1 binary64)) x (pow.f64 y #s(literal 3 binary64))) x (*.f64 (neg.f64 y) y))
(- (* x (+ (* x (+ 1 (+ (* -1 (pow y 4)) (+ (* 1/4 (pow y 4)) (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5)))))))) (pow y 3))) (pow y 2))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64) (.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)) (neg.f64 y))) x)) #s(literal 1 binary64)) x (pow.f64 y #s(literal 3 binary64))) x (.f64 (neg.f64 y) 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 (fma.f64 (.f64 #s(literal 1/4 binary64) x) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 y y))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x y)
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y)))) x (neg.f64 (-.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))))) x (neg.f64 y))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* x (+ (* -1 (/ (* (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)) (+ (* -1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- 1 (* 1/2 (pow y 2))))) (+ (* 1/4 (pow y 4)) (/ (* (+ (* 1/2 (pow y 3)) (* y (- 1 (* 1/2 (pow y 2))))) (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) y)))))) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) y) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))))) x (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) y))))) x (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))))) x (neg.f64 y))
(pow y 2)
(*.f64 y y)
(+ (* -1 (* x (pow y 3))) (pow y 2))
(fma.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(+ (* x (- (* -1 (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))
(fma.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y #s(literal 3 binary64))) x (*.f64 y y))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5))))) (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64)) (neg.f64 y)))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/4 binary64))) x) (pow.f64 y #s(literal 3 binary64))) x (.f64 y y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1 binary64)) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)))) (/.f64 #s(literal 2 binary64) (*.f64 x 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)))))
(.f64 (+.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)) x)
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(* x (- (* 1/2 y) (/ 1 x)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ 1 (pow x 4))))
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(- (+ 1 (* 4 (/ 1 (pow x 4)))) (/ 16 (* (pow x 5) y)))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y)))
(- (+ 1 (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))) (* 16 (/ 1 (* (pow x 5) y))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 y y)))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y)))
(* (pow x 2) (- 1 (* 4 (/ 1 (pow x 4)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(* (pow x 2) (- (+ 1 (/ 16 (* (pow x 5) y))) (* 4 (/ 1 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* 16 (/ 1 (* (pow x 5) y)))) (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)) #s(literal 1 binary64)) (/.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 y y)))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/ 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 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x x)) (.f64 y y)) (/.f64 #s(literal 4 binary64) (*.f64 y 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 x x)) (.f64 y y)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) (.f64 y x)))) x)
(/ -4 (pow x 3))
(/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 y x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (pow x 2))) (/ 16 (* x y))) 4) (pow x 3))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 16 binary64) y) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))) (.f64 x x)) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 y x)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ (* -64 (/ (+ 1 (* 1/2 (pow y 2))) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (pow x 2))) (+ (* 4 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (* (pow x 3) y))) (+ (* 16 (/ (+ (* -1 y) (* 2 y)) (* (pow x 3) (pow y 2)))) (/ 16 (* x y)))))) 4) (pow x 3))
(/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 16 binary64) y) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))) (.f64 x x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 16 binary64) y) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 16 binary64) (/.f64 #s(literal 16 binary64) (.f64 y x)))))) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 2))
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(fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 256 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 48 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 x x)))) (.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 768 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 128 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 256 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 48 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 x x))))) (neg.f64 y)) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) x))) y) #s(literal -1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 x x)))))
(- (+ (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(-.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y))) (/.f64 #s(literal 4 binary64) (.f64 x x)))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* (pow x 5) y))) (* 48 (/ 1 (pow x 4)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (pow x 2)) (* 4 (/ 1 (pow x 2))))
(-.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 128 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)) (/.f64 #s(literal 48 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 y)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y))) (/.f64 #s(literal 4 binary64) (.f64 x x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 y)) (/.f64 #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 (/.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))) (neg.f64 y)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (neg.f64 y)) (/.f64 #s(literal 2 binary64) x))
(- (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(-.f64 (.f64 (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x))))
(- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) y)) (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) y) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 y)) (/.f64 #s(literal 4 binary64) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (.f64 x x))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 5) (* y (pow (+ x (* 2 (/ 1 x))) 3))))))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) y)) (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) y) (.f64 x x))) #s(literal 4 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) y)) (/.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))))) y) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 y)) (/.f64 #s(literal 4 binary64) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x))))
(+ (* -1 (/ (- (* 16 (/ 1 (pow x 3))) (* 48 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (neg.f64 y)) (/.f64 #s(literal 4 binary64) (.f64 x x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow x 4))) (* 128 (/ 1 (* (pow x 5) y)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 48 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 128 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y))) (neg.f64 y)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 #s(literal 4 binary64) (.f64 x x)))

rewrite257.0ms (4.8%)

Memory

-12.1MiB live, 375.5MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	165
0	46	164
1	204	164
2	1445	164
0	8129	164

Stop Event

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

Counts

11 → 354

Calls

Call 1

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

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

eval340.0ms (6.4%)

Memory: 1.1MiB live, 332.7MiB allocated; 32ms collecting garbage
Compiler: Compiled 55 629 to 3 240 computations (94.2% saved)

prune40.0ms (0.8%)

Memory

-8.8MiB live, 37.6MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	736	1	737
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	737	6	743

Accuracy

100.0%

Counts

743 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) #s(approx (pow (/ y (+ (* (/ x 2) y) 1)) 2) (/.f64 #s(literal 4 binary64) (*.f64 x x))))) (-.f64 x (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) x)))
✓	100.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	64.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	65.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
✓	76.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	23.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 141 to 89 computations (36.9% saved)

simplify186.0ms (3.5%)

Memory

24.4MiB live, 176.1MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	210
0	39	210
1	62	210
2	128	210
3	336	210
4	776	210
5	1398	210
6	3178	210
0	8575	206

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (2.4%)

Memory

-26.2MiB live, 119.8MiB allocated; 13ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	7.721511504575397	(/.f64 (neg.f64 (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) x))
accuracy	8.729858021206653	(/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
accuracy	22.77284932994195	(/.f64 (.f64 x x) (-.f64 (.f64 x x) #s(approx (pow (/ y (+ (* (/ x 2) y) 1)) 2) (/.f64 #s(literal 4 binary64) (*.f64 x x)))))
accuracy	25.678131555956448	#s(approx (pow (/ y (+ (* (/ x 2) y) 1)) 2) (/.f64 #s(literal 4 binary64) (*.f64 x x)))

Samples

94.0ms

256×

valid

Compiler

Compiled 204 to 22 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-add: 36.0ms (43.8% of total)

ival-pow2: 28.0ms (34.1% of total)

ival-div: 8.0ms (9.7% of total)

ival-mult: 6.0ms (7.3% of total)

ival-sub: 2.0ms (2.4% of total)

ival-neg: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

6 → 97

Calls

Call 1

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

Outputs
(* -1 y)
(+ (* -1 y) (* -1 (* x (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* x (+ (* -1 (/ (* (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)) (+ (* -1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- 1 (* 1/2 (pow y 2))))) (+ (* 1/4 (pow y 4)) (/ (* (+ (* 1/2 (pow y 3)) (* y (- 1 (* 1/2 (pow y 2))))) (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) y)))))) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (+ (/ 1 y) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* x (+ 1 (+ (* -1 (/ (* (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)) (+ (* -1 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2))) (+ (* -1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- 1 (* 1/2 (pow y 2))))) (+ (* 1/4 (pow y 4)) (/ (* (+ (* 1/2 (pow y 3)) (* y (- 1 (* 1/2 (pow y 2))))) (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) y)))))))) (+ (* y (- 1 (* 1/2 (pow y 2)))) (+ (/ 1 y) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)))))))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* -1 (/ x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (* x (- (* -1 (* x (+ 1/4 (/ 1 (pow y 4))))) (/ 1 y))) (/ 1 (pow y 2))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))) (pow y 3))) (+ (* -1/4 y) (+ (* 1/4 y) (+ (* y (+ 1/4 (/ 1 (pow y 4)))) (/ 1 (pow y 3))))))))) (+ 1/4 (/ 1 (pow y 4))))) (/ 1 y))) (/ 1 (pow y 2))))
(pow x 2)
(pow y 2)
(+ (* -1 (* x (pow y 3))) (pow y 2))
(+ (* x (- (* -1 (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5))))) (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (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)))))
(/ -4 (pow x 3))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 3))
(/ (- (+ (* -1 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (pow x 2))) (/ 16 (* x y))) 4) (pow x 3))
(/ (- (+ (* -64 (/ (+ 1 (* 1/2 (pow y 2))) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (pow x 2))) (+ (* 4 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (* (pow x 3) y))) (+ (* 16 (/ (+ (* -1 y) (* 2 y)) (* (pow x 3) (pow y 2)))) (/ 16 (* x y)))))) 4) (pow x 3))
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
(+ 1 (* 4 (/ 1 (pow x 4))))
(- (+ 1 (* 4 (/ 1 (pow x 4)))) (/ 16 (* (pow x 5) y)))
(- (+ 1 (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))) (* 16 (/ 1 (* (pow x 5) y))))
(/ 4 (pow x 2))
(/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 2))
(/ (- (+ 4 (/ 48 (* (pow x 2) (pow y 2)))) (/ 16 (* x y))) (pow x 2))
(/ (- (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y)))) (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 (/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 3)))
(* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 16 (/ (- (* -1/2 (pow y 2)) 1) (pow y 2))) (* 64 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x))) (pow x 3)))
(* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (/ (+ (* 16 (/ (- (* -1/2 (pow y 2)) 1) (pow y 2))) (* 64 (/ 1 (pow y 2)))) y)) (+ (* 16 (/ (+ (* -1 y) (* 2 y)) (pow y 2))) (* 64 (/ (- (* -1/2 (pow y 2)) 1) (pow y 3))))) x)) (+ (* 16 (/ (- (* -1/2 (pow y 2)) 1) (pow y 2))) (* 64 (/ 1 (pow y 2))))) x)) (* 16 (/ 1 y))) x))) (pow x 3)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ 4 (* -1 (- 4 (* 8 (/ 1 (pow y 2)))))) x)) (* 4 (/ 1 y))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+ 1 (+ (* -1 (/ (- (* 16 (/ 1 y)) (* 48 (/ 1 (* x (pow y 2))))) (pow x 5))) (* 4 (/ 1 (pow x 4)))))
(/ (+ 4 (* -1 (/ (- (* 16 (/ 1 y)) (* 48 (/ 1 (* x (pow y 2))))) x))) (pow x 2))
(/ (+ 4 (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow y 2))) (* 128 (/ 1 (* x (pow y 3))))) x)) (* 16 (/ 1 y))) x))) (pow x 2))
(* -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 (/ (pow y 2) x))
(* (pow y 2) (- (* y (+ 1 (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (- (* y (+ 1 (+ (* y (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ 1 (pow x 2))) x)) (+ (* 1/4 x) (* 1/2 (/ 1 x))))) (/ 1 (pow x 2))))) (/ 1 x)))
(* (pow y 2) (- (* y (+ 1 (+ (* y (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ 1 (pow x 2))) x)) (+ (* 1/4 x) (+ (* 1/2 (/ 1 x)) (* y (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ x (+ (* -1/2 x) (* 1/4 (pow x 3))))) x)) (* -1 (/ (* (+ 1 (pow x 2)) (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ 1 (pow x 2))) x)) (+ (* 1/4 x) (* 1/2 (/ 1 x))))) x)))))))) (/ 1 (pow x 2))))) (/ 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) (pow x 2)))
(+ 1 (* (pow y 2) (+ (* -1 (/ y x)) (/ 1 (pow x 2)))))
(+ 1 (* (pow y 2) (+ (* y (- (* y (+ 3/4 (/ 1 (pow x 4)))) (/ 1 x))) (/ 1 (pow x 2)))))
(* (pow y 2) (+ 1 (* -1 (* x y))))
(* (pow y 2) (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))
(* (pow y 2) (+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))
(* 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)))))
(/ -4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))
(- (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
(- (+ (* -1 (/ (+ (* 4 (/ (* (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) (- (* x (+ x (* 2 (/ 1 x)))) 1)) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 64 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 5) (pow (+ x (* 2 (/ 1 x))) 3))))) (pow y 3))) (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) (+ (* -16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
(- (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))))))
(- (+ (* -64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 16 (/ (- x (* 2 (/ 1 x))) (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 16 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 3) (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (* 8 (/ 1 (* x (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))))))
(- (+ (* -64 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 5) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* -64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* -4 (/ (* (+ (* -64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (- (* x (+ x (* 2 (/ 1 x)))) 1)) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* -48 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 4) (* (pow y 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (+ (* -16 (/ (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))) (* (pow x 3) (* (pow y 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 16 (/ (- x (* 2 (/ 1 x))) (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 16 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 3) (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (+ (* 128 (/ (- x (* 2 (/ 1 x))) (* (pow x 3) (* (pow y 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* 8 (/ 1 (* x (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))))))))))
(/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))
(- (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))) (* 16 (/ 1 (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))))
(- (+ (* 48 (/ 1 (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 256 (/ 1 (* (pow x 4) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (/ 16 (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))))
(- (+ (* -1 (/ (+ (* 16 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (+ (* 128 (/ 1 (* (pow x 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 768 (/ 1 (* (pow x 5) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3)))))) (pow y 3))) (+ (* 48 (/ 1 (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 256 (/ 1 (* (pow x 4) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (/ 16 (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))))
(- (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (* (pow x 3) y))))
(- (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))) (/ 16 (* (pow x 3) y)))
(- (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))))
(- (* 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))))
(- (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) y)) (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 5) (* y (pow (+ x (* 2 (/ 1 x))) 3))))))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) y)) (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (- (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2)))) (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (+ (* -1 (/ (- (+ (* -64 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 5) (pow (+ x (* 2 (/ 1 x))) 3)))) (* -4 (/ (* (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (+ (* -64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))))) (* (pow x 2) (+ x (* 2 (/ 1 x))))))) (+ (* -128 (/ (- x (* 2 (/ 1 x))) (* (pow x 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 16 (/ 1 (* (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (+ (* 16 (/ (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 48 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 4) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))))) y)) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) y)) (* 16 (/ 1 (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) y)) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 768 (/ 1 (* (pow x 5) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* -16 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3)))))) y)) (* 16 (/ 1 (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) y)) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
(+ (* -1 (/ (- (* 16 (/ 1 (pow x 3))) (* 48 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow x 4))) (* 128 (/ 1 (* (pow x 5) y)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))
(+ (* -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	y	@	inf	((/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x)) (+ (* (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (- x (/ y (+ (* (/ x 2) y) 1)))) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x))) (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2) (/ y (+ (* (/ x 2) y) 1)))
1.0ms	y	@	-inf	((/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x)) (+ (* (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (- x (/ y (+ (* (/ x 2) y) 1)))) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x))) (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2) (/ y (+ (* (/ x 2) y) 1)))
1.0ms	x	@	inf	((/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x)) (+ (* (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (- x (/ y (+ (* (/ x 2) y) 1)))) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x))) (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2) (/ y (+ (* (/ x 2) y) 1)))
1.0ms	x	@	0	((/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x)) (+ (* (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (- x (/ y (+ (* (/ x 2) y) 1)))) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x))) (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2) (/ y (+ (* (/ x 2) y) 1)))
1.0ms	x	@	-inf	((/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x)) (+ (* (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (- x (/ y (+ (* (/ x 2) y) 1)))) (/ (neg (pow (/ y (+ (* (/ x 2) y) 1)) 2)) (+ (/ y (+ (* (/ x 2) y) 1)) x))) (/ (* x x) (- (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2))) (* x x) (pow (/ y (+ (* (/ x 2) y) 1)) 2) (/ y (+ (* (/ x 2) y) 1)))

simplify335.0ms (6.3%)

Memory

7.0MiB live, 237.4MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	813	4914
1	2779	4816
0	8546	4646

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 95

Calls

Call 1

Inputs
(* -1 y)
(+ (* -1 y) (* -1 (* x (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* x (+ (* -1 (/ (* (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)) (+ (* -1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- 1 (* 1/2 (pow y 2))))) (+ (* 1/4 (pow y 4)) (/ (* (+ (* 1/2 (pow y 3)) (* y (- 1 (* 1/2 (pow y 2))))) (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) y)))))) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (+ (/ 1 y) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))))))))
(+ (* -1 y) (* x (+ (* -1 (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) (* x (+ (* 1/2 (pow y 3)) (+ (* x (+ 1 (+ (* -1 (/ (* (+ (* 1/2 (pow y 3)) (+ (* y (- 1 (* 1/2 (pow y 2)))) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)) (+ (* -1 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2))) (+ (* -1/8 (pow y 4)) (+ (* 1/4 (* (pow y 2) (- 1 (* 1/2 (pow y 2))))) (+ (* 1/4 (pow y 4)) (/ (* (+ (* 1/2 (pow y 3)) (* y (- 1 (* 1/2 (pow y 2))))) (- (* 1/2 (pow y 2)) (+ 1 (pow y 2)))) y)))))))) (+ (* y (- 1 (* 1/2 (pow y 2)))) (+ (/ 1 y) (/ (* (- (* 1/2 (pow y 2)) (+ 1 (pow y 2))) (- (+ 1 (pow y 2)) (* 1/2 (pow y 2)))) y)))))))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* -1 (/ x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (* x (- (* -1 (* x (+ 1/4 (/ 1 (pow y 4))))) (/ 1 y))) (/ 1 (pow y 2))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))) (pow y 3))) (+ (* -1/4 y) (+ (* 1/4 y) (+ (* y (+ 1/4 (/ 1 (pow y 4)))) (/ 1 (pow y 3))))))))) (+ 1/4 (/ 1 (pow y 4))))) (/ 1 y))) (/ 1 (pow y 2))))
(pow x 2)
(pow y 2)
(+ (* -1 (* x (pow y 3))) (pow y 2))
(+ (* x (- (* -1 (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (pow y 2))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (* -1/4 (pow y 5))))) (+ (* -1 (pow y 4)) (* 1/4 (pow y 4))))) (pow y 3))) (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)))))
(/ -4 (pow x 3))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 3))
(/ (- (+ (* -1 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (pow x 2))) (/ 16 (* x y))) 4) (pow x 3))
(/ (- (+ (* -64 (/ (+ 1 (* 1/2 (pow y 2))) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (pow x 2))) (+ (* 4 (/ (- (* 64 (/ 1 (pow y 2))) (* 16 (/ (+ 1 (* 1/2 (pow y 2))) (pow y 2)))) (* (pow x 3) y))) (+ (* 16 (/ (+ (* -1 y) (* 2 y)) (* (pow x 3) (pow y 2)))) (/ 16 (* x y)))))) 4) (pow x 3))
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
(+ 1 (* 4 (/ 1 (pow x 4))))
(- (+ 1 (* 4 (/ 1 (pow x 4)))) (/ 16 (* (pow x 5) y)))
(- (+ 1 (+ (* 48 (/ 1 (* (pow x 6) (pow y 2)))) (* 4 (/ 1 (pow x 4))))) (* 16 (/ 1 (* (pow x 5) y))))
(/ 4 (pow x 2))
(/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 2))
(/ (- (+ 4 (/ 48 (* (pow x 2) (pow y 2)))) (/ 16 (* x y))) (pow x 2))
(/ (- (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y)))) (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 (/ (- 4 (* 16 (/ 1 (* x y)))) (pow x 3)))
(* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 16 (/ (- (* -1/2 (pow y 2)) 1) (pow y 2))) (* 64 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x))) (pow x 3)))
(* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (/ (+ (* 16 (/ (- (* -1/2 (pow y 2)) 1) (pow y 2))) (* 64 (/ 1 (pow y 2)))) y)) (+ (* 16 (/ (+ (* -1 y) (* 2 y)) (pow y 2))) (* 64 (/ (- (* -1/2 (pow y 2)) 1) (pow y 3))))) x)) (+ (* 16 (/ (- (* -1/2 (pow y 2)) 1) (pow y 2))) (* 64 (/ 1 (pow y 2))))) x)) (* 16 (/ 1 y))) x))) (pow x 3)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ 4 (* -1 (- 4 (* 8 (/ 1 (pow y 2)))))) x)) (* 4 (/ 1 y))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+ 1 (+ (* -1 (/ (- (* 16 (/ 1 y)) (* 48 (/ 1 (* x (pow y 2))))) (pow x 5))) (* 4 (/ 1 (pow x 4)))))
(/ (+ 4 (* -1 (/ (- (* 16 (/ 1 y)) (* 48 (/ 1 (* x (pow y 2))))) x))) (pow x 2))
(/ (+ 4 (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow y 2))) (* 128 (/ 1 (* x (pow y 3))))) x)) (* 16 (/ 1 y))) x))) (pow x 2))
(* -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 (/ (pow y 2) x))
(* (pow y 2) (- (* y (+ 1 (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (- (* y (+ 1 (+ (* y (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ 1 (pow x 2))) x)) (+ (* 1/4 x) (* 1/2 (/ 1 x))))) (/ 1 (pow x 2))))) (/ 1 x)))
(* (pow y 2) (- (* y (+ 1 (+ (* y (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ 1 (pow x 2))) x)) (+ (* 1/4 x) (+ (* 1/2 (/ 1 x)) (* y (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ x (+ (* -1/2 x) (* 1/4 (pow x 3))))) x)) (* -1 (/ (* (+ 1 (pow x 2)) (+ (* -1 (/ (* (+ 1 (/ 1 (pow x 2))) (+ 1 (pow x 2))) x)) (+ (* 1/4 x) (* 1/2 (/ 1 x))))) x)))))))) (/ 1 (pow x 2))))) (/ 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) (pow x 2)))
(+ 1 (* (pow y 2) (+ (* -1 (/ y x)) (/ 1 (pow x 2)))))
(+ 1 (* (pow y 2) (+ (* y (- (* y (+ 3/4 (/ 1 (pow x 4)))) (/ 1 x))) (/ 1 (pow x 2)))))
(* (pow y 2) (+ 1 (* -1 (* x y))))
(* (pow y 2) (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))
(* (pow y 2) (+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) x))))
(* 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)))))
(/ -4 (* (pow x 2) (+ x (* 2 (/ 1 x)))))
(- (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
(- (+ (* -1 (/ (+ (* 4 (/ (* (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) (- (* x (+ x (* 2 (/ 1 x)))) 1)) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 64 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 5) (pow (+ x (* 2 (/ 1 x))) 3))))) (pow y 3))) (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) (+ (* -16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))))
(- (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))))))
(- (+ (* -64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 16 (/ (- x (* 2 (/ 1 x))) (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 16 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 3) (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (* 8 (/ 1 (* x (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))))))
(- (+ (* -64 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 5) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* -64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* -4 (/ (* (+ (* -64 (/ (pow (- (* x (+ x (* 2 (/ 1 x)))) 1) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (- (* x (+ x (* 2 (/ 1 x)))) 1)) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ (- (* x (+ x (* 2 (/ 1 x)))) 1) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* -48 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 4) (* (pow y 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (+ (* -16 (/ (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))) (* (pow x 3) (* (pow y 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 16 (/ (- x (* 2 (/ 1 x))) (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 16 (/ (- (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* (pow x 3) (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (+ (* 128 (/ (- x (* 2 (/ 1 x))) (* (pow x 3) (* (pow y 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (* 8 (/ 1 (* x (* (pow y 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))))))))))
(/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))
(- (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))) (* 16 (/ 1 (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))))
(- (+ (* 48 (/ 1 (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 256 (/ 1 (* (pow x 4) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (/ 16 (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))))
(- (+ (* -1 (/ (+ (* 16 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (+ (* 128 (/ 1 (* (pow x 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 768 (/ 1 (* (pow x 5) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3)))))) (pow y 3))) (+ (* 48 (/ 1 (* (pow x 2) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) (+ (* 256 (/ 1 (* (pow x 4) (* (pow y 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) (/ 16 (* x (* y (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))))
(- (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (* (pow x 3) y))))
(- (+ (* 4 (/ 1 (pow x 2))) (/ 48 (* (pow x 4) (pow y 2)))) (/ 16 (* (pow x 3) y)))
(- (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) (+ (* 128 (/ 1 (* (pow x 5) (pow y 3)))) (/ 16 (* (pow x 3) y))))
(- (* 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))))
(- (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (* y (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) y)) (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (- (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))))) (* (pow x 2) (* y (+ x (* 2 (/ 1 x))))))) (+ (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 64 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 5) (* y (pow (+ x (* 2 (/ 1 x))) 3))))))) (* 64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3))))) y)) (* -16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (- (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2)))) (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (+ (* -1 (/ (- (+ (* -64 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 5) (pow (+ x (* 2 (/ 1 x))) 3)))) (* -4 (/ (* (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (+ (* -64 (/ (pow (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) 2) (* (pow x 6) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))))) (* (pow x 2) (+ x (* 2 (/ 1 x))))))) (+ (* -128 (/ (- x (* 2 (/ 1 x))) (* (pow x 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 16 (/ 1 (* (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (+ (* 16 (/ (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 48 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 4) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))))))) y)) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))))) (+ (* -48 (/ (- x (* 2 (/ 1 x))) (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (+ (* 8 (/ 1 (* x (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* 16 (/ (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2))))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (* -16 (/ (- x (* 2 (/ 1 x))) (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 4 (/ 1 (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (/ (* (pow x 2) (- x (* 2 (/ 1 x)))) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) y)) (* 16 (/ 1 (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) y)) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 768 (/ 1 (* (pow x 5) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* -16 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3)))))) y)) (* 16 (/ 1 (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) y)) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
(+ (* -1 (/ (- (* 16 (/ 1 (pow x 3))) (* 48 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow x 4))) (* 128 (/ 1 (* (pow x 5) y)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))
(+ (* -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 y)
(neg.f64 y)
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) y)) (* 16 (/ 1 (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) y)) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 256 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 48 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 x x)))) y) #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) x))) y) #s(literal -1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 x x)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 768 (/ 1 (* (pow x 5) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* -16 (/ (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3))))) (* (pow x 3) (- (pow x 2) (* 4 (/ 1 (pow x 2)))))))) y)) (+ (* 48 (/ 1 (* (pow x 2) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2)))) (* 256 (/ 1 (* (pow x 4) (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 3)))))) y)) (* 16 (/ 1 (* x (pow (- (pow x 2) (* 4 (/ 1 (pow x 2)))) 2))))) y)) (/ (pow x 2) (- (pow x 2) (* 4 (/ 1 (pow x 2))))))
(fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 256 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 48 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 x x)))) (.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 768 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 128 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 256 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 48 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 x x))))) (neg.f64 y)) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 2 binary64)) x))) y) #s(literal -1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 x x)))))
(+ (* -1 (/ (- (* 16 (/ 1 (pow x 3))) (* 48 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 48 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (neg.f64 y)) (/.f64 #s(literal 4 binary64) (.f64 x x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 48 (/ 1 (pow x 4))) (* 128 (/ 1 (* (pow x 5) y)))) y)) (* 16 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 48 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 128 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y))) (neg.f64 y)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 #s(literal 4 binary64) (.f64 x x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 y)) (/.f64 #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 (/.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))) (neg.f64 y)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (neg.f64 y)) (/.f64 #s(literal 2 binary64) x))

rewrite260.0ms (4.9%)

Memory

25.4MiB live, 262.1MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	130
0	39	130
1	140	130
2	1008	130
0	8409	130

Stop Event

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

Counts

6 → 236

Calls

Call 1

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

Outputs
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(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (pow (/ y (+ (* (/ x 2) y) 1)) 2) (/.f64 #s(literal 4 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))))
(.f64 (fabs.f64 (/.f64 y (-.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fabs.f64 (-.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))))
(.f64 (fabs.f64 (/.f64 y (+.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (fabs.f64 (sqrt.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))) (fabs.f64 (sqrt.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 y (-.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64)))
(.f64 (/.f64 y (+.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 x #s(literal 2 binary64)) y)))
(*.f64 (sqrt.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (neg.f64 (neg.f64 y))) (fabs.f64 (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (neg.f64 y)) (fabs.f64 (fma.f64 (neg.f64 y) (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (fabs.f64 y) (fabs.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (fma.f64 (neg.f64 y) (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
(neg.f64 (/.f64 y (fma.f64 (neg.f64 y) (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (neg.f64 y) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
(fabs.f64 (/.f64 y (fma.f64 (neg.f64 y) (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(fabs.f64 (neg.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))))
(fabs.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
(exp.f64 (log.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))))
(+.f64 (cosh.f64 (log.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))) (sinh.f64 (log.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))))

eval162.0ms (3%)

Memory: -42.6MiB live, 87.6MiB allocated; 32ms collecting garbage
Compiler: Compiled 46 206 to 2 164 computations (95.3% saved)

prune17.0ms (0.3%)

Memory

-21.8MiB live, 25.4MiB allocated; 1ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	471	1	472
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	472	6	478

Accuracy

100.0%

Counts

478 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.0%	(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) #s(approx (pow (/ y (+ (* (/ x 2) y) 1)) 2) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (-.f64 x (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) (neg.f64 (/.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) x)))))
✓	100.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	64.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	65.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
✓	76.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	23.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 438 to 154 computations (64.8% saved)

regimes10.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

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

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
89.0%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
92.6%	3	`x`
91.2%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes30.0ms (0.6%)

Memory

-33.6MiB live, 11.4MiB allocated; 5ms collecting garbage

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:

27.0ms	y
1.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
76.3%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
76.3%	1	`y`
76.3%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
23.3%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
23.3%	1	`y`
23.3%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch53.0ms (1%)

Memory

-7.8MiB live, 38.3MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.219389966271587e-47	9.333499108214811e-45
15.0ms	-4.8723261607172544e-12	-2.316201929307589e-25

Samples

15.0ms

272×

valid

Compiler

Compiled 524 to 439 computations (16.2% saved)

Precisions

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

ival-div: 3.0ms (34.2% of total)

ival-mult: 2.0ms (22.8% of total)

ival-sub: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify16.0ms (0.3%)

Memory

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

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	86
1	47	86
2	63	86
3	81	86
4	110	86
5	145	86
6	158	86
7	161	86
8	168	86
9	176	86
10	180	86

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -5451911701461569/5192296858534827628530496329220096 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 8677465438998547/3213876088517980551083924184682325205044405987565585670602752 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 #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -5451911701461569/5192296858534827628530496329220096 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 8677465438998547/3213876088517980551083924184682325205044405987565585670602752 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)))))
(if (or (<=.f64 x #s(literal -5451911701461569/5192296858534827628530496329220096 binary64)) (not (<=.f64 x #s(literal 8677465438998547/3213876088517980551083924184682325205044405987565585670602752 binary64)))) (-.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)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

derivations313.0ms (5.9%)

Memory

-20.3MiB live, 268.1MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	709
1	711	686
2	2133	661
0	8530	634

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 86 to 31 computations (64% saved)

preprocess27.0ms (0.5%)

Memory: 29.3MiB live, 73.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 194 to 80 computations (58.8% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	10

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	36

Iter	Nodes	Cost
0	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Iter	Nodes	Cost
0	28	86
1	47	86
2	63	86
3	81	86
4	110	86
5	145	86
6	158	86
7	161	86
8	168	86
9	176	86
10	180	86

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	10

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	36

Iter	Nodes	Cost
0	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Iter	Nodes	Cost
0	28	86
1	47	86
2	63	86
3	81	86
4	110	86
5	145	86
6	158	86
7	161	86
8	168	86
9	176	86
10	180	86

start0.0ms (0%)

analyze23.0ms (0.4%)

sample1.3s (24%)

explain121.0ms (2.3%)

preprocess27.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize51.0ms (0.9%)

series45.0ms (0.9%)

simplify186.0ms (3.5%)

rewrite166.0ms (3.1%)

eval38.0ms (0.7%)

prune8.0ms (0.2%)

simplify11.0ms (0.2%)

localize136.0ms (2.6%)

series10.0ms (0.2%)

simplify182.0ms (3.4%)

rewrite244.0ms (4.6%)

eval68.0ms (1.3%)

prune6.0ms (0.1%)

simplify185.0ms (3.5%)

localize85.0ms (1.6%)

series41.0ms (0.8%)

simplify224.0ms (4.2%)

rewrite257.0ms (4.8%)

eval340.0ms (6.4%)

prune40.0ms (0.8%)

simplify186.0ms (3.5%)

localize128.0ms (2.4%)

series8.0ms (0.2%)

simplify335.0ms (6.3%)

rewrite260.0ms (4.9%)

eval162.0ms (3%)

prune17.0ms (0.3%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes30.0ms (0.6%)

regimes3.0ms (0.1%)

bsearch53.0ms (1%)

simplify16.0ms (0.3%)

derivations313.0ms (5.9%)

preprocess27.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	10

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	36

Iter	Nodes	Cost
0	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Iter	Nodes	Cost
0	28	86
1	47	86
2	63	86
3	81	86
4	110	86
5	145	86
6	158	86
7	161	86
8	168	86
9	176	86
10	180	86