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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze27.0ms (0.5%)

Memory

4.3MiB live, 47.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.4s (23.9%)

Memory

34.6MiB live, 1 142.9MiB allocated

Samples

970.0ms	8 254×	0	valid
0.0ms	2×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 623.0ms

ival-div: 229.0ms (36.8% of total)

ival-add: 150.0ms (24.1% of total)

ival-mult: 145.0ms (23.3% of total)

ival-sub: 79.0ms (12.7% of total)

exact: 10.0ms (1.6% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain426.0ms (7.1%)

Memory

-29.5MiB live, 266.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

119.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

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

ival-div: 67.0ms (69.7% of total)

ival-mult: 20.0ms (20.8% of total)

ival-sub: 4.0ms (4.2% of total)

ival-add: 4.0ms (4.2% of total)

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

exact: 1.0ms (1% of total)

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

preprocess29.0ms (0.5%)

Memory

14.6MiB live, 14.6MiB allocated

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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

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)

simplify7.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

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)

localize56.0ms (0.9%)

Memory

-12.0MiB live, 29.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.0078125	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	11.140248459055567	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

48.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 35.0ms (86.6% of total)

ival-mult: 2.0ms (4.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

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
2.0ms	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))
1.0ms	y	@	-inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))

simplify251.0ms (4.1%)

Memory

19.4MiB live, 105.2MiB allocated

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))

rewrite295.0ms (4.9%)

Memory

-10.1MiB live, 184.2MiB allocated

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))))
(fma.f64 (/.f64 (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))) (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)))
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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))

eval98.0ms (1.6%)

Memory: -40.3MiB live, 69.2MiB allocated
Compiler: Compiled 6 750 to 995 computations (85.3% saved)

prune16.0ms (0.3%)

Memory

28.6MiB live, 28.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	226	7	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	227	7	234

Accuracy

100.0%

Counts

234 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)))))
▶	59.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	57.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
▶	63.3%	#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))
▶	76.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
	50.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.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)))))
▶	29.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 268 to 202 computations (24.6% saved)

simplify27.0ms (0.4%)

Memory

-13.0MiB live, 32.8MiB allocated

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)

localize96.0ms (1.6%)

Memory

12.3MiB live, 156.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(.f64 (.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0234375	(fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)
accuracy	23.51866163748146	#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	0.0078125	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	32.775000768855364	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	15.327676574133024	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0.0	(neg.f64 y)
accuracy	45.32147887280687	#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	0.0078125	(-.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	11.140248459055567	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))

Samples

65.0ms

256×

valid

Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 19.0ms (44.1% of total)

ival-div: 9.0ms (20.9% of total)

ival-sub: 7.0ms (16.3% of total)

ival-add: 6.0ms (13.9% of total)

ival-neg: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series21.0ms (0.3%)

Memory

-9.5MiB live, 37.2MiB allocated

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
6.0ms	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))
4.0ms	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))
3.0ms	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))
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	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))

simplify274.0ms (4.5%)

Memory

0.8MiB live, 231.5MiB allocated

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))

rewrite325.0ms (5.4%)

Memory

42.7MiB live, 320.2MiB allocated

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

eval40.0ms (0.7%)

Memory: -8.2MiB live, 80.8MiB allocated
Compiler: Compiled 13 472 to 1 332 computations (90.1% saved)

prune6.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	270	2	272
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	272	7	279

Accuracy

100.0%

Counts

279 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))))
✓	59.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	65.1%	(+.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 (neg.f64 (/.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))))) (+.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x)))
▶	63.3%	#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))
▶	57.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	76.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	29.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 179 to 97 computations (45.8% saved)

simplify114.0ms (1.9%)

Memory

-37.3MiB live, 152.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.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))
cost-diff	8	(/.f64 (.f64 (neg.f64 (/.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))))) (+.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x))
cost-diff	26	(+.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 (neg.f64 (/.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))))) (+.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) 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))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
cost-diff	3	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	347
0	49	328
1	97	327
2	233	321
3	667	321
4	1818	306
5	4867	256
6	7915	256
0	8013	255

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

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

localize86.0ms (1.4%)

Memory

5.0MiB live, 145.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (neg.f64 (/.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)))))
accuracy	7.096071711412806	(/.f64 (.f64 (neg.f64 (/.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))))) (+.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x))
accuracy	11.140248459055567	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
accuracy	20.870439022953573	(/.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))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.0234375	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
accuracy	23.51866163748146	#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))
accuracy	0.0	(*.f64 x x)
accuracy	0.1671516024509618	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	15.940487686551005	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
accuracy	26.15041508359185	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))

Samples

60.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 237 to 32 computations (86.5% saved)

Precisions

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

ival-div: 18.0ms (39.3% of total)

ival-mult: 16.0ms (34.9% of total)

ival-add: 8.0ms (17.5% of total)

ival-sub: 1.0ms (2.2% 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)

series55.0ms (0.9%)

Memory

-3.7MiB live, 40.6MiB allocated

Counts

13 → 123

Calls

Call 1

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

Outputs
(/ -2 x)
(/ (- (pow x 2) 2) x)
(* -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)
(/ -2 (pow x 2))
(pow x 2)
(+ (* -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 (- (+ 1/2 (+ (* -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)))))) (/ 1 (pow y 2)))) (+ (* 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)) (+ (* 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 x 2) y)
(* (pow x 2) (+ (* x (- 1/2 (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (+ 1/2 (* -1 (* x (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y))))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (+ 1/2 (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y)) (- 1 (* 1/2 (pow y 2)))) y)) (+ (* -1/8 (pow y 2)) (* 1/4 (* (pow y 2) (- 1/2 (/ 1 (pow y 2))))))))) (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y))))) (/ 1 (pow y 2)))) (/ 1 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 (pow y 2))
(+ (* -1 (pow y 2)) (* x (pow y 3)))
(+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4)))) (pow y 3))))
(+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -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))))
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)))
(/ -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 (- (+ 1 (+ (* 4 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 4))))) (+ (* 2 (/ 1 (pow x 2))) (/ 8 (* (pow x 4) (pow y 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)
(/ -4 (pow x 2))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/ (- (/ 16 (* x y)) (+ 4 (/ 48 (* (pow x 2) (pow y 2))))) (pow x 2))
(/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y))) (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2)))))) (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 (/ (- 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 (- (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 2))) 4) x)) (* 4 (/ 1 y))) (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 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) x)) 4) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 3)))) (* 48 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x)) 4) (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)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* -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 (* y (- (* y (- (/ 1 x) (* -1/2 x))) 1)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ 1 (+ (* 1/4 (pow x 2)) (/ 1 (pow x 2)))))) (/ 1 x)) (* -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)))))
(* (pow y 2) (- (* x y) 1))
(* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))) 1))
(* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))))))) 1))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* 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)))) (* 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 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -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 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 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 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))))))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 32 (* (pow x 3) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3))))))))
(/ -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))))
(+ (* 4 (/ 1 (* y (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))
(- (+ (* 16 (/ 1 (* (pow x 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))))
(- (+ (* 16 (/ 1 (* (pow x 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 32 (* (pow x 3) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3)))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))
(- (/ 16 (* (pow x 3) y)) (+ (* 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))) (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))))
(- (+ 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)))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 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 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 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)))))) (* 32 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 3)))))) (+ (* 4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) y)) (+ (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2))))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 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 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 32 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 3)))) (+ (* 4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) y)) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 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 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (* 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)) (* 4 (/ 1 (pow x 2))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (+ (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x))) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ y (+ 1 (/ (* x y) 2))) (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))))
5.0ms	x	@	0	((+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (+ (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x))) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ y (+ 1 (/ (* x y) 2))) (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))))
4.0ms	y	@	-inf	((+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (+ (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x))) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ y (+ 1 (/ (* x y) 2))) (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))))
4.0ms	y	@	0	((+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (+ (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x))) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ y (+ 1 (/ (* x y) 2))) (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))))
3.0ms	x	@	-inf	((+ (* (/ -2 (* x x)) x) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ -2 (* x x)) (* x x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (+ (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x))) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ y (+ 1 (/ (* x y) 2))) (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))))

simplify241.0ms (4%)

Memory

36.0MiB live, 328.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	814	4443
1	2750	4310
0	8343	4107

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 121

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (pow x 2) 2) x)
(* -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)
(/ -2 (pow x 2))
(pow x 2)
(+ (* -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 (- (+ 1/2 (+ (* -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)))))) (/ 1 (pow y 2)))) (+ (* 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)) (+ (* 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 x 2) y)
(* (pow x 2) (+ (* x (- 1/2 (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (+ 1/2 (* -1 (* x (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y))))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (+ 1/2 (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y)) (- 1 (* 1/2 (pow y 2)))) y)) (+ (* -1/8 (pow y 2)) (* 1/4 (* (pow y 2) (- 1/2 (/ 1 (pow y 2))))))))) (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y))))) (/ 1 (pow y 2)))) (/ 1 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 (pow y 2))
(+ (* -1 (pow y 2)) (* x (pow y 3)))
(+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4)))) (pow y 3))))
(+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -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))))
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)))
(/ -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 (- (+ 1 (+ (* 4 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 4))))) (+ (* 2 (/ 1 (pow x 2))) (/ 8 (* (pow x 4) (pow y 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)
(/ -4 (pow x 2))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/ (- (/ 16 (* x y)) (+ 4 (/ 48 (* (pow x 2) (pow y 2))))) (pow x 2))
(/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y))) (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2)))))) (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 (/ (- 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 (- (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 2))) 4) x)) (* 4 (/ 1 y))) (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 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) x)) 4) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 3)))) (* 48 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x)) 4) (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)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* -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 (* y (- (* y (- (/ 1 x) (* -1/2 x))) 1)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ 1 (+ (* 1/4 (pow x 2)) (/ 1 (pow x 2)))))) (/ 1 x)) (* -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)))))
(* (pow y 2) (- (* x y) 1))
(* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))) 1))
(* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))))))) 1))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* 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)))) (* 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 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -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 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 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 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))))))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 32 (* (pow x 3) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3))))))))
(/ -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))))
(+ (* 4 (/ 1 (* y (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))
(- (+ (* 16 (/ 1 (* (pow x 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))))
(- (+ (* 16 (/ 1 (* (pow x 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 32 (* (pow x 3) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3)))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))
(- (/ 16 (* (pow x 3) y)) (+ (* 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))) (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))))
(- (+ 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)))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 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 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 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)))))) (* 32 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 3)))))) (+ (* 4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) y)) (+ (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2))))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 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 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 32 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 3)))) (+ (* 4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) y)) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 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 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (* 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)) (* 4 (/ 1 (pow x 2))))

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

rewrite212.0ms (3.5%)

Memory

-19.4MiB live, 254.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	276
0	49	257
1	209	211
2	1606	211
0	8566	202

Stop Event

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

Counts

13 → 338

Calls

Call 1

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

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

eval170.0ms (2.8%)

Memory: 20.3MiB live, 267.2MiB allocated
Compiler: Compiled 44 123 to 2 281 computations (94.8% saved)

prune34.0ms (0.6%)

Memory

-11.2MiB live, 33.4MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	542	4	546
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	544	9	553

Accuracy

100.0%

Counts

553 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))))
✓	59.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	31.5%	(+.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 #s(approx ( (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) (.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)))
✓	63.3%	#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))
▶	57.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 x x)) x))
✓	76.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	29.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	35.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)))
▶	11.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 231 to 143 computations (38.1% saved)

simplify185.0ms (3.1%)

Memory

0.0MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.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))
cost-diff	12	(+.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 #s(approx ( (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) (.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)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 x x)) x))
cost-diff	1	(fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 x x)) x)
cost-diff	2	(/.f64 x (*.f64 x x))
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)))
cost-diff	2	(/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	415
0	62	391
1	114	374
2	253	363
3	635	351
4	3125	351
0	8526	347

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (2.3%)

Memory

10.3MiB live, 196.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	7.096071711412806	(/.f64 #s(approx (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) (.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))
accuracy	11.140248459055567	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
accuracy	20.870439022953573	(/.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))
accuracy	30.249671430566845	#s(approx (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) (.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 x x)) x)
accuracy	26.15041508359185	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 x x)) x))
accuracy	30.334117871583164	(/.f64 x (*.f64 x x))
accuracy	0.0	#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	0.0078125	(-.f64 (*.f64 x x) #s(literal 2 binary64))
accuracy	15.170881798232573	(/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)
accuracy	26.15041508359185	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)))
accuracy	0.0	(/.f64 #s(literal -2 binary64) x)
accuracy	26.15041508359185	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
accuracy	30.88456044319406	#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))

Samples

114.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 281 to 38 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-div: 41.0ms (60.2% of total)

ival-mult: 13.0ms (19.1% of total)

ival-add: 7.0ms (10.3% of total)

ival-sub: 5.0ms (7.3% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series14.0ms (0.2%)

Memory

-18.5MiB live, 25.9MiB allocated

Counts

17 → 126

Calls

Call 1

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

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)
(/ -2 x)
(/ (- (pow x 2) 2) x)
-2
(- (pow x 2) 2)
(/ 1 x)
(pow x 2)
(+ (* -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 (- (+ 1/2 (+ (* -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)))))) (/ 1 (pow y 2)))) (+ (* 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)))))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* x (- 1/2 (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (+ 1/2 (* -1 (* x (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y))))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (+ 1/2 (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y)) (- 1 (* 1/2 (pow y 2)))) y)) (+ (* -1/8 (pow y 2)) (* 1/4 (* (pow y 2) (- 1/2 (/ 1 (pow y 2))))))))) (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y))))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ 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 (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3))))) (* 1/2 (pow y 2)))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (pow y 3)))
(+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4)))) (pow y 3))))
(+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -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))))
(+ 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))))))))
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))))))
(* (pow x 2) (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (+ (* 4 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 4))))) (+ (* 2 (/ 1 (pow x 2))) (/ 8 (* (pow x 4) (pow y 2))))))
(* x (+ 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 2 (/ 1 (pow x 2)))) (/ 4 (* (pow x 3) y))))
(* x (- (+ 1 (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 3) y)))))
(/ -4 (pow x 2))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/ (- (/ 16 (* x y)) (+ 4 (/ 48 (* (pow x 2) (pow y 2))))) (pow x 2))
(/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y))) (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2)))))) (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)
(/ -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))
(* -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 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 2))) 4) x)) (* 4 (/ 1 y))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (/ 4 (* (pow x 3) y)) (+ 1 (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) (pow x 3))) (+ 1 (* 2 (/ 1 (pow x 2)))))))
(/ (- (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) x)) 4) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 3)))) (* 48 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x)) 4) (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 (/ (- 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)))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(+ x (* y (- (* y (- (/ 1 x) (* -1/2 x))) 1)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ 1 (+ (* 1/4 (pow x 2)) (/ 1 (pow x 2)))))) (/ 1 x)) (* -1/2 x))) 1)))
(+ x y)
(+ x (* y (+ 1 (* -1/2 (* x y)))))
(+ x (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))))
(* (pow y 2) (- (* x y) 1))
(* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))) 1))
(* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))))))) 1))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* -1 (/ (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 (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (/ (pow x 2) (+ x (* 2 (/ 1 x)))) (* 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 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -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 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 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 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))))))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 32 (* (pow x 3) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3))))))))
(/ (pow x 2) (+ x (* 2 (/ 1 x))))
(+ (* 4 (/ 1 (* y (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))
(- (+ (* 16 (/ 1 (* (pow x 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))))
(- (+ (* 16 (/ 1 (* (pow x 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 32 (* (pow x 3) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3)))))))
(+ x (* 2 (/ 1 x)))
(- (+ x (* 2 (/ 1 x))) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ x (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (/ 4 (* (pow x 2) y)))
(- (+ 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))))
(- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))
(- (/ 16 (* (pow x 3) y)) (+ (* 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))) (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 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)))))))))
(- (+ 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 (/ (- (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 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 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 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)))))) (* 32 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 3)))))) (+ (* 4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) y)) (+ (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2))))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 32 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 3)))) (+ (* 4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) y)) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))
(+ x (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 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))))
(- (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (* 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)) (* 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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (/ (- (* x x) 2) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (- (* x x) 2) (/ x (* x x)) (+ (* -2 (/ x (* x x))) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* x x) (+ (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x))) (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (+ (/ y (+ 1 (/ (* x y) 2))) x) (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x)))
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (/ (- (* x x) 2) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (- (* x x) 2) (/ x (* x x)) (+ (* -2 (/ x (* x x))) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* x x) (+ (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x))) (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (+ (/ y (+ 1 (/ (* x y) 2))) x) (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x)))
2.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (/ (- (* x x) 2) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (- (* x x) 2) (/ x (* x x)) (+ (* -2 (/ x (* x x))) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* x x) (+ (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x))) (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (+ (/ y (+ 1 (/ (* x y) 2))) x) (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x)))
1.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (/ (- (* x x) 2) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (- (* x x) 2) (/ x (* x x)) (+ (* -2 (/ x (* x x))) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* x x) (+ (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x))) (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (+ (/ y (+ 1 (/ (* x y) 2))) x) (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x)))
1.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (/ (- (* x x) 2) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (- (* x x) 2) (/ x (* x x)) (+ (* -2 (/ x (* x x))) x) (- x (/ y (+ 1 (/ (* x y) 2)))) (* x x) (+ (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x))) (/ (* x x) (+ (/ y (+ 1 (/ (* x y) 2))) x)) (+ (/ y (+ 1 (/ (* x y) 2))) x) (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (+ (/ y (+ 1 (/ (* x y) 2))) x)))

simplify202.0ms (3.4%)

Memory

15.2MiB live, 242.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	812	4609
1	2753	4549
0	8215	4381

Stop Event

1×	iter limit
1×	node limit

Counts

126 → 124

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)
(/ -2 x)
(/ (- (pow x 2) 2) x)
-2
(- (pow x 2) 2)
(/ 1 x)
(pow x 2)
(+ (* -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 (- (+ 1/2 (+ (* -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)))))) (/ 1 (pow y 2)))) (+ (* 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)))))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* x (- 1/2 (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (+ 1/2 (* -1 (* x (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y))))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (+ 1/2 (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y)) (- 1 (* 1/2 (pow y 2)))) y)) (+ (* -1/8 (pow y 2)) (* 1/4 (* (pow y 2) (- 1/2 (/ 1 (pow y 2))))))))) (+ (* 1/4 y) (/ (* (- 1/2 (/ 1 (pow y 2))) (- 1 (* 1/2 (pow y 2)))) y))))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ 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 (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3))))) (* 1/2 (pow y 2)))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (pow y 3)))
(+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* 1/4 (pow y 4)))) (pow y 3))))
(+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -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))))
(+ 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))))))))
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))))))
(* (pow x 2) (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (+ (* 4 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 4))))) (+ (* 2 (/ 1 (pow x 2))) (/ 8 (* (pow x 4) (pow y 2))))))
(* x (+ 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 2 (/ 1 (pow x 2)))) (/ 4 (* (pow x 3) y))))
(* x (- (+ 1 (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 3) y)))))
(/ -4 (pow x 2))
(/ (- (* 16 (/ 1 (* x y))) 4) (pow x 2))
(/ (- (/ 16 (* x y)) (+ 4 (/ 48 (* (pow x 2) (pow y 2))))) (pow x 2))
(/ (- (+ (* 128 (/ 1 (* (pow x 3) (pow y 3)))) (/ 16 (* x y))) (+ 4 (* 48 (/ 1 (* (pow x 2) (pow y 2)))))) (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)
(/ -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))
(* -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 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 2))) 4) x)) (* 4 (/ 1 y))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (/ 4 (* (pow x 3) y)) (+ 1 (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) (pow x 3))) (+ 1 (* 2 (/ 1 (pow x 2)))))))
(/ (- (* -1 (/ (- (* 48 (/ 1 (* x (pow y 2)))) (* 16 (/ 1 y))) x)) 4) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 (* x (pow y 3)))) (* 48 (/ 1 (pow y 2)))) x)) (* 16 (/ 1 y))) x)) 4) (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 (/ (- 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)))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(+ x (* y (- (* y (- (/ 1 x) (* -1/2 x))) 1)))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ 1 (+ (* 1/4 (pow x 2)) (/ 1 (pow x 2)))))) (/ 1 x)) (* -1/2 x))) 1)))
(+ x y)
(+ x (* y (+ 1 (* -1/2 (* x y)))))
(+ x (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))))
(* (pow y 2) (- (* x y) 1))
(* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))) 1))
(* (pow y 2) (- (* y (+ x (* y (+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* -1/4 (pow x 3))))))))) 1))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* -1 (/ (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 (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (/ (pow x 2) (+ x (* 2 (/ 1 x)))) (* 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 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(- (+ (* -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 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 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 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (* 16 (/ 1 (* (pow x 3) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))))))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (+ (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 32 (* (pow x 3) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3))))))))
(/ (pow x 2) (+ x (* 2 (/ 1 x))))
(+ (* 4 (/ 1 (* y (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))
(- (+ (* 16 (/ 1 (* (pow x 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))))
(- (+ (* 16 (/ 1 (* (pow x 2) (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (+ (/ 4 (* y (pow (+ x (* 2 (/ 1 x))) 2))) (+ (/ 16 (* (pow x 2) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 2)))) (/ (pow x 2) (+ x (* 2 (/ 1 x))))))) (+ (* -4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (* (pow y 3) (+ x (* 2 (/ 1 x))))))) (+ (* 8 (/ 1 (* x (* (pow y 2) (pow (+ x (* 2 (/ 1 x))) 2))))) (/ 32 (* (pow x 3) (* (pow y 3) (pow (+ x (* 2 (/ 1 x))) 3)))))))
(+ x (* 2 (/ 1 x)))
(- (+ x (* 2 (/ 1 x))) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ x (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (/ 4 (* (pow x 2) y)))
(- (+ 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))))
(- (* 16 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2))))
(- (/ 16 (* (pow x 3) y)) (+ (* 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))) (+ (* 48 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 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)))))))))
(- (+ 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 (/ (- (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2)))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 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 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2)))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 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)))))) (* 32 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 3)))))) (+ (* 4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) y)) (+ (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 16 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 2))))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 16 (/ (+ 1 (* -1 (* x (+ x (* 2 (/ 1 x)))))) (* (pow x 4) (pow (+ x (* 2 (/ 1 x))) 2))))) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x))))) (* 4 (/ 1 (* (pow x 2) (+ x (* 2 (/ 1 x)))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 32 (/ 1 (* (pow x 3) (pow (+ x (* 2 (/ 1 x))) 3)))) (+ (* 4 (/ (- (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3)))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) (* (pow x 2) (+ x (* 2 (/ 1 x)))))) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 2)))))) y)) (* 16 (/ 1 (* (pow x 2) (pow (+ x (* 2 (/ 1 x))) 3))))) (* 8 (/ 1 (* x (pow (+ x (* 2 (/ 1 x))) 2))))) y)) (* 4 (/ 1 (pow (+ x (* 2 (/ 1 x))) 2)))) y)) (/ (pow x 2) (+ x (* 2 (/ 1 x)))))
(+ x (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 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))))
(- (* -1 (/ (- (* 48 (/ 1 (* (pow x 4) y))) (* 16 (/ 1 (pow x 3)))) y)) (* 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)) (* 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)))))))

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 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) (fma.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 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (pow x 2) 2) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)
-2
#s(literal -2 binary64)
(- (pow x 2) 2)
(-.f64 (*.f64 x x) #s(literal 2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(pow x 2)
(*.f64 x 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))))))))
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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)))))))
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(- (* -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 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #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) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 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 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (/.f64 (fma.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #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))))) (.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 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (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 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) y) #s(literal -1 binary64) (/.f64 (.f64 #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) x))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 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))))

rewrite232.0ms (3.8%)

Memory

-7.8MiB live, 293.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	348
0	62	325
1	249	281
2	1744	281
0	8103	269

Stop Event

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

Counts

17 → 292

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 x (neg.f64 (neg.f64 x))) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x (neg.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x)
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 x (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal -2 binary64))) (.f64 x x))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (neg.f64 x))) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (.f64 x x))
(/.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) x) x)
(/.f64 (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal -2 binary64) (neg.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) x) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)) (.f64 (neg.f64 x) #s(literal -2 binary64))) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64))) x))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 2 binary64)) x)))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)) (/.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) x)) (/.f64 #s(literal 4 binary64) (.f64 (fma.f64 x x #s(literal 2 binary64)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) x)) (/.f64 #s(literal 8 binary64) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 2 binary64))) x) (/.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal 2 binary64))) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (/.f64 (/.f64 #s(literal 8 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) x))
(-.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 2 binary64))) (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 8 binary64))) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 x (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 x (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 1 binary64)) x)
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) x))))
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(+.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 (.f64 (neg.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 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) 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)))))
#s(approx (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 y x)) #s(literal 4 binary64)) x) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(/.f64 (neg.f64 y) (neg.f64 #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))))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(neg.f64 (/.f64 y (neg.f64 #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(.f64 (/.f64 #s(approx ( (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) x) 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 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 #s(approx ( (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) x) 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 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 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))))) (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 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) x) x))))) (neg.f64 (neg.f64 (neg.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 (neg.f64 (neg.f64 #s(approx (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) x) x)))) (neg.f64 (neg.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 (neg.f64 #s(approx (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) x) x))) (neg.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 #s(approx (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) 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))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) 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)))
(neg.f64 (/.f64 #s(approx (* (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) x) x)) (neg.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))))

eval83.0ms (1.4%)

Memory: -11.7MiB live, 132.7MiB allocated
Compiler: Compiled 42 259 to 2 212 computations (94.8% saved)

prune15.0ms (0.3%)

Memory

-3.1MiB live, 43.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	532	1	533
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	533	9	542

Accuracy

100.0%

Counts

542 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))))
✓	59.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	31.5%	(+.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 #s(approx ( (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) (.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)))
✓	63.3%	#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))
✓	76.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	29.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	35.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x)))
	9.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x))))
✓	11.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 659 to 237 computations (64% saved)

regimes14.0ms (0.2%)

Memory

26.5MiB live, 26.5MiB allocated

Counts

15 → 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))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
(-.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)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (-.f64 (*.f64 x x) #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))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 x x)) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x 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)))))
(+.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 #s(approx ( (neg (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 y x)) #s(literal 4 binary64)) (.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 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 (neg.f64 (/.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))))) (+.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.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)))))

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:

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

regimes26.0ms (0.4%)

Memory

-30.7MiB live, 15.9MiB allocated

Counts

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

19.0ms	(-.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
88.4%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
90.4%	3	`x`
94.4%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

3 → 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))

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

Outputs

#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.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)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.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	y
2.0ms	x

Results

Accuracy	Segments	Branch
76.1%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
76.1%	1	`x`
80.7%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
76.1%	1	`x`
76.1%	1	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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
29.2%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
29.2%	1	`y`
29.2%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch41.0ms (0.7%)

Memory

-11.2MiB live, 36.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.166296937846608e+131	1.8017095285355258e+133
11.0ms	-4.8456381175236687e+114	-1.8570419093879185e+112

Samples

13.0ms

240×

valid

Compiler

Compiled 464 to 389 computations (16.2% saved)

Precisions

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

ival-div: 3.0ms (39.1% of total)

ival-mult: 2.0ms (26% of total)

ival-sub: 1.0ms (13% of total)

ival-add: 1.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.5%)

Memory

-7.5MiB live, 42.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.8990790258961566e+231	1.3272663145678123e+234
9.0ms	-3.862649142804623e+222	-4.1132537865022995e+221

Samples

17.0ms

224×

valid

Compiler

Compiled 574 to 448 computations (22% saved)

Precisions

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

ival-mult: 6.0ms (50.6% of total)

ival-div: 3.0ms (25.3% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify69.0ms (1.1%)

Memory

14.7MiB live, 59.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	135
1	76	135
2	135	133
3	262	131
4	543	131
5	1394	131
6	2733	131
7	3958	131
8	5400	131
9	6739	131

Stop Event

1×	node 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)))))
(if (<=.f64 y #s(literal -62999999999999996879148107188263752330455012160486810265102863642369209915059722287032206065818133159513788776448 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 7999999999999999926636539218890212509492870799859879295872737812141353213324797089608343471892332562956818025406639861799915697995776 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 (<=.f64 y #s(literal -700000000000000032621265022374488297883560066964563802994686320613077946926160409700937398549936998624723783617189842905722083166204828663952435468244850408411201089157121355329641044126538666828521815040092169949048471552 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) (if (<=.f64 y #s(literal 4399999999999999834817888757642654820644140523406922178074003540900582414162139351417650394177437415461479799343515905691023298486075653811612890302999507060713686766007878148003036434274907393939586944494959395488798679356296658944 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.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 y #s(literal -62999999999999996879148107188263752330455012160486810265102863642369209915059722287032206065818133159513788776448 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 7999999999999999926636539218890212509492870799859879295872737812141353213324797089608343471892332562956818025406639861799915697995776 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 y #s(literal -62999999999999996879148107188263752330455012160486810265102863642369209915059722287032206065818133159513788776448 binary64)) (not (<=.f64 y #s(literal 7999999999999999926636539218890212509492870799859879295872737812141353213324797089608343471892332562956818025406639861799915697995776 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)))
(if (<=.f64 y #s(literal -700000000000000032621265022374488297883560066964563802994686320613077946926160409700937398549936998624723783617189842905722083166204828663952435468244850408411201089157121355329641044126538666828521815040092169949048471552 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))) (if (<=.f64 y #s(literal 4399999999999999834817888757642654820644140523406922178074003540900582414162139351417650394177437415461479799343515905691023298486075653811612890302999507060713686766007878148003036434274907393939586944494959395488798679356296658944 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))))
(if (or (<=.f64 y #s(literal -700000000000000032621265022374488297883560066964563802994686320613077946926160409700937398549936998624723783617189842905722083166204828663952435468244850408411201089157121355329641044126538666828521815040092169949048471552 binary64)) (not (<=.f64 y #s(literal 4399999999999999834817888757642654820644140523406922178074003540900582414162139351417650394177437415461479799343515905691023298486075653811612890302999507060713686766007878148003036434274907393939586944494959395488798679356296658944 binary64)))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.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))

soundness558.0ms (9.2%)

Memory

0.7MiB live, 343.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	709
1	711	686
2	2133	661
0	8530	634
0	814	4443
1	2750	4310
0	8343	4107

Stop Event

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

Compiler

Compiled 169 to 80 computations (52.7% saved)

preprocess61.0ms (1%)

Memory: 2.3MiB live, 47.2MiB allocated
Compiler: Compiled 292 to 112 computations (61.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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	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

start0.0ms (0%)

analyze27.0ms (0.5%)

sample1.4s (23.9%)

explain426.0ms (7.1%)

preprocess29.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.1%)

localize56.0ms (0.9%)

series10.0ms (0.2%)

simplify251.0ms (4.1%)

rewrite295.0ms (4.9%)

eval98.0ms (1.6%)

prune16.0ms (0.3%)

simplify27.0ms (0.4%)

localize96.0ms (1.6%)

series21.0ms (0.3%)

simplify274.0ms (4.5%)

rewrite325.0ms (5.4%)

eval40.0ms (0.7%)

prune6.0ms (0.1%)

simplify114.0ms (1.9%)

localize86.0ms (1.4%)

series55.0ms (0.9%)

simplify241.0ms (4%)

rewrite212.0ms (3.5%)

eval170.0ms (2.8%)

prune34.0ms (0.6%)

simplify185.0ms (3.1%)

localize141.0ms (2.3%)

series14.0ms (0.2%)

simplify202.0ms (3.4%)

rewrite232.0ms (3.8%)

eval83.0ms (1.4%)

prune15.0ms (0.3%)

regimes14.0ms (0.2%)

regimes26.0ms (0.4%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0.1%)

bsearch41.0ms (0.7%)

bsearch28.0ms (0.5%)

simplify69.0ms (1.1%)

soundness558.0ms (9.2%)

preprocess61.0ms (1%)

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